From 545665b62a922890cf63b83ae5970013a41c3cdc Mon Sep 17 00:00:00 2001 From: Maxime Fleury Date: Sat, 10 Oct 2026 02:39:47 +0200 Subject: [PATCH] Add the complex bank ladder package and price its rank-3 rung at 7.277211262868e-4 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit The package vendors every input it reads by sha256 -- the rung-1 package of #219, the frontier certificate of #207 and the unmerged source-assisted v4 row of #233, its earlier heads included -- and re-derives the whole complex-side ladder offline: both paid moments per rung, the 47-constraint assembly with adjacent-grid rejection, the padded width-66 schedule, the three export contracts and their import gate. On #233's row the first whole-bank family of the ledger is rank 3, not rank 16: 66 = 22 * 3 makes its bank exactly filled, so the T1 padding obligation does not arise, and the point prices 1819302815717/25*10^14 = 7.277211262868e-4, bit-bound, above the ladder top and above the pinned frontier. The rung is row-dependent and that is measured: its stability is re-taken on all six ranked heads of #233 and all nine width-66 rows of this repository, and the rung above it is a recorded negative. The change adds three things and edits nothing: the package, a test module whose pin controls check the digest gate fails closed, and the package's own workflow. It deliberately does not take a Makefile target in the aggregate, because `Makefile` and `.gitattributes` are recorded by other packages' manifests (the joint-dual and round-8 certificates among them) and editing either moves their digests; the workflow runs the same commands on 3.11, 3.13 and 3.14 and then requires `git diff --exit-code`. Generated with Codebuff 🤖 Co-Authored-By: Codebuff --- .github/workflows/complex-bank-ladder.yml | 45 + .../complex-bank-run3/EXPORT-CONTRACT-BIT.md | 197 + .../EXPORT-CONTRACT-RANK3.md | 254 + research/complex-bank-run3/EXPORT-CONTRACT.md | 100 + research/complex-bank-run3/NOTICE.md | 67 + research/complex-bank-run3/PROOF.md | 332 + research/complex-bank-run3/README.md | 629 + research/complex-bank-run3/SOURCE.json | 66 + .../complex-bank-run3/bit-drop-report.json | 171 + research/complex-bank-run3/bitcontract.py | 684 + research/complex-bank-run3/bitindex.py | 157 + research/complex-bank-run3/certificate.json | 2886 + .../export-contract-bit.json | 1943 + .../export-contract-rank3.json | 1550 + .../complex-bank-run3/export-contract.json | 233 + .../exports-bit/charts.index.json.gz | Bin 0 -> 986806 bytes .../complex-bank-run3/exports-bit/charts.json | 1 + .../exports-bit/frames.json.gz | Bin 0 -> 528291 bytes .../complex-bank-run3/exports-bit/graph.json | 1 + .../exports-bit/incidence.json | 154026 +++++++++++++++ .../exports-bit/index.json.gz | Bin 0 -> 1807 bytes .../complex-bank-run3/exports-bit/kchron.json | 1 + .../exports-bit/physical.rebuilt.json | 65 + .../exports-bit/prime-witnesses.json.gz | Bin 0 -> 1125430 bytes .../exports-bit/profile.json | 1 + .../exports-bit/word.json.gz | Bin 0 -> 727940 bytes research/complex-bank-run3/importer66.py | 651 + research/complex-bank-run3/instantiate66.py | 230 + .../complex-bank-run3/instantiate_rank3.py | 214 + research/complex-bank-run3/ledger3.py | 209 + research/complex-bank-run3/obligations.json | 201 + .../complex-bank-run3/occurrences-rank3.json | 116 + research/complex-bank-run3/occurrences66.json | 197 + research/complex-bank-run3/pins.py | 60 + research/complex-bank-run3/prototype66.py | 222 + .../complex-bank-run3/rank3-stability.json | 2547 + research/complex-bank-run3/rank3contract.py | 967 + research/complex-bank-run3/rank3stability.py | 306 + research/complex-bank-run3/rank4-rung.json | 669 + research/complex-bank-run3/rank4rung.py | 511 + ...207-coordinated-crossover.certificate.json | 199 + .../references/pr219-run1/NOTICE.md | 36 + .../references/pr219-run1/PROOF.md | 94 + .../references/pr219-run1/README.md | 90 + .../references/pr219-run1/SOURCE.json | 12 + .../references/pr219-run1/arithmetic.py | 148 + .../references/pr219-run1/banks.py | 104 + .../references/pr219-run1/certificate.json | 270 + .../inputs/absorbed-occurrences.json | 12010 ++ .../references/pr219-run1/interval_moment.py | 76 + .../references/pr219-run1/obligations.json | 35 + .../pr219-run1/paired_cube_assembly.py | 58 + .../pr193-source-assisted-v4.certificate.json | 599 + .../references/pr200-bit.certificate.json | 4442 + .../references/pr205-packed.certificate.json | 318 + .../references/pr219-run1/schedule.py | 130 + .../references/pr219-run1/verify.py | 121 + .../pr233-heads/246f6f9.certificate.json | 151 + .../pr233-heads/52c6fba.certificate.json | 614 + .../pr233-heads/7f909fb.certificate.json | 614 + .../pr233-heads/c3f9ba1.certificate.json | 151 + .../pr233-heads/cf08677.certificate.json | 161 + ...-source-assisted-v4-layer.certificate.json | 151 + research/complex-bank-run3/run3.py | 721 + research/complex-bank-run3/schedule66.json | 284 + research/complex-bank-run3/schedule66.py | 232 + research/complex-bank-run3/suppliers.py | 300 + research/complex-bank-run3/verify.py | 1181 + research/complex-bank-run3/widths66.py | 177 + tests/test_complex_bank_run3.py | 123 + 70 files changed, 194111 insertions(+) create mode 100644 .github/workflows/complex-bank-ladder.yml create mode 100644 research/complex-bank-run3/EXPORT-CONTRACT-BIT.md create mode 100644 research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md create mode 100644 research/complex-bank-run3/EXPORT-CONTRACT.md create mode 100644 research/complex-bank-run3/NOTICE.md create mode 100644 research/complex-bank-run3/PROOF.md create mode 100644 research/complex-bank-run3/README.md create mode 100644 research/complex-bank-run3/SOURCE.json create mode 100644 research/complex-bank-run3/bit-drop-report.json create mode 100644 research/complex-bank-run3/bitcontract.py create mode 100644 research/complex-bank-run3/bitindex.py create mode 100644 research/complex-bank-run3/certificate.json create mode 100644 research/complex-bank-run3/export-contract-bit.json create mode 100644 research/complex-bank-run3/export-contract-rank3.json create mode 100644 research/complex-bank-run3/export-contract.json create mode 100644 research/complex-bank-run3/exports-bit/charts.index.json.gz create mode 100644 research/complex-bank-run3/exports-bit/charts.json create mode 100644 research/complex-bank-run3/exports-bit/frames.json.gz create mode 100644 research/complex-bank-run3/exports-bit/graph.json create mode 100644 research/complex-bank-run3/exports-bit/incidence.json create mode 100644 research/complex-bank-run3/exports-bit/index.json.gz create mode 100644 research/complex-bank-run3/exports-bit/kchron.json create mode 100644 research/complex-bank-run3/exports-bit/physical.rebuilt.json create mode 100644 research/complex-bank-run3/exports-bit/prime-witnesses.json.gz create mode 100644 research/complex-bank-run3/exports-bit/profile.json create mode 100644 research/complex-bank-run3/exports-bit/word.json.gz create mode 100644 research/complex-bank-run3/importer66.py create mode 100644 research/complex-bank-run3/instantiate66.py create mode 100644 research/complex-bank-run3/instantiate_rank3.py create mode 100644 research/complex-bank-run3/ledger3.py create mode 100644 research/complex-bank-run3/obligations.json create mode 100644 research/complex-bank-run3/occurrences-rank3.json create mode 100644 research/complex-bank-run3/occurrences66.json create mode 100644 research/complex-bank-run3/pins.py create mode 100644 research/complex-bank-run3/prototype66.py create mode 100644 research/complex-bank-run3/rank3-stability.json create mode 100644 research/complex-bank-run3/rank3contract.py create mode 100644 research/complex-bank-run3/rank3stability.py create mode 100644 research/complex-bank-run3/rank4-rung.json create mode 100644 research/complex-bank-run3/rank4rung.py create mode 100644 research/complex-bank-run3/references/pr207-coordinated-crossover.certificate.json create mode 100644 research/complex-bank-run3/references/pr219-run1/NOTICE.md create mode 100644 research/complex-bank-run3/references/pr219-run1/PROOF.md create mode 100644 research/complex-bank-run3/references/pr219-run1/README.md create mode 100644 research/complex-bank-run3/references/pr219-run1/SOURCE.json create mode 100644 research/complex-bank-run3/references/pr219-run1/arithmetic.py create mode 100644 research/complex-bank-run3/references/pr219-run1/banks.py create mode 100644 research/complex-bank-run3/references/pr219-run1/certificate.json create mode 100644 research/complex-bank-run3/references/pr219-run1/inputs/absorbed-occurrences.json create mode 100644 research/complex-bank-run3/references/pr219-run1/interval_moment.py create mode 100644 research/complex-bank-run3/references/pr219-run1/obligations.json create mode 100644 research/complex-bank-run3/references/pr219-run1/paired_cube_assembly.py create mode 100644 research/complex-bank-run3/references/pr219-run1/references/pr193-source-assisted-v4.certificate.json create mode 100644 research/complex-bank-run3/references/pr219-run1/references/pr200-bit.certificate.json create mode 100644 research/complex-bank-run3/references/pr219-run1/references/pr205-packed.certificate.json create mode 100644 research/complex-bank-run3/references/pr219-run1/schedule.py create mode 100644 research/complex-bank-run3/references/pr219-run1/verify.py create mode 100644 research/complex-bank-run3/references/pr233-heads/246f6f9.certificate.json create mode 100644 research/complex-bank-run3/references/pr233-heads/52c6fba.certificate.json create mode 100644 research/complex-bank-run3/references/pr233-heads/7f909fb.certificate.json create mode 100644 research/complex-bank-run3/references/pr233-heads/c3f9ba1.certificate.json create mode 100644 research/complex-bank-run3/references/pr233-heads/cf08677.certificate.json create mode 100644 research/complex-bank-run3/references/pr233-source-assisted-v4-layer.certificate.json create mode 100644 research/complex-bank-run3/run3.py create mode 100644 research/complex-bank-run3/schedule66.json create mode 100644 research/complex-bank-run3/schedule66.py create mode 100644 research/complex-bank-run3/suppliers.py create mode 100644 research/complex-bank-run3/verify.py create mode 100644 research/complex-bank-run3/widths66.py create mode 100644 tests/test_complex_bank_run3.py diff --git a/.github/workflows/complex-bank-ladder.yml b/.github/workflows/complex-bank-ladder.yml new file mode 100644 index 0000000000..943de5c878 --- /dev/null +++ b/.github/workflows/complex-bank-ladder.yml @@ -0,0 +1,45 @@ +name: Verify the complex bank ladder and its rank-3 rung + +on: + push: + paths: + - 'research/complex-bank-run3/**' + - 'tests/test_complex_bank_run3.py' + - '.github/workflows/complex-bank-ladder.yml' + pull_request: + paths: + - 'research/complex-bank-run3/**' + - 'tests/test_complex_bank_run3.py' + - '.github/workflows/complex-bank-ladder.yml' + workflow_dispatch: + +permissions: + contents: read + +jobs: + certificate: + runs-on: ubuntu-24.04 + timeout-minutes: 30 + strategy: + fail-fast: false + matrix: + python-version: ['3.11', '3.13', '3.14'] + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 + with: + persist-credentials: false + - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 # v7 + with: + python-version: ${{ matrix.python-version }} + - name: Reproduce the ladder, re-derive both rungs' ledgers and reprice the points + run: python3 -B research/complex-bank-run3/verify.py + - name: Self-check the vendored rung-1 package in place + working-directory: research/complex-bank-run3/references/pr219-run1 + run: python3 -B verify.py + - name: Run the export gate on all three contracts, and the gate's own thirteen cases + run: | + python3 -B research/complex-bank-run3/importer66.py --self-test + python3 -B research/complex-bank-run3/importer66.py --contract research/complex-bank-run3/export-contract-bit.json --self-test + python3 -B research/complex-bank-run3/importer66.py --contract research/complex-bank-run3/export-contract-rank3.json --self-test + - name: Require committed files to remain unchanged + run: git diff --exit-code diff --git a/research/complex-bank-run3/EXPORT-CONTRACT-BIT.md b/research/complex-bank-run3/EXPORT-CONTRACT-BIT.md new file mode 100644 index 0000000000..e271d32b82 --- /dev/null +++ b/research/complex-bank-run3/EXPORT-CONTRACT-BIT.md @@ -0,0 +1,197 @@ +# The bit-side export contract (the twin) + +**What the bit supplier's program must publish for the rank-22 realization obligations R1-R4 to +close.** The complex side's [export contract](EXPORT-CONTRACT.md) asks what a supplier must publish +for C1-C3 to become a bank increment. This is its twin for the *other* contract in the same ledger +pair: the rank-22 bank absorption of the bit word +([#219's package](references/pr219-run1/README.md)) certifies the accounting and states R1-R4 as the +remaining physical realization. This file says exactly what a physical realization has to publish, +in what form, and how each part is checked. + +The machine-readable twin is [export-contract-bit.json](export-contract-bit.json), and every digest, +count, status and obligation statement quoted below is asserted against the pinned bytes by +`verify.py -> check_bit_export_contract`. The schema, the seven acceptance tests `A1-A7`, the +gate/replay split and the fail-closed reading are the complex side's, unchanged: the two contracts +differ in what they ask for, not in how they are checked. + +## 1. What the pins already publish (the starting point, read not assumed) + +The bit side is **half-met**, and that is the difference between the two twins. The complex side has +no body export at all; the bit side already publishes, in the pins: + +| published today | value | where | +| --- | --- | --- | +| the accounting package's own verdict | `CONDITIONAL accounting construction for the rank-22 bank absorption ... the physical realization obligations R1-R4 are OPEN and the kappa below is conditional on them` | `certificate.json`, `status` | +| and its literal scope | "bank-absorption schedule, accounting and tiling invariants; **no physical column, chart or prime witness is built here**" | `schedule.status` | +| the conditional kappa | `700427501305159/10^18` | `kappa` | +| the absorbed family | rank 22, `ledger_bin_per_vertex = 6,672`, `occurrences_three_copies = 20,016`, `normalization_factor = 3`, `dirt_volume_registers = 440,352`, provenance `1,320 + 24 + 0 + 880` per vertex | `schedule.absorbed_family` | +| the whole-bank condition | `22 x 20,016 = 440,352 = 72 x 6,116` whole banks, stock drop `56,402 - 50,286 = 6,116` | `schedule.banks`, `schedule.row_identity` | +| the retained ledger | `W_after = 50,286`, deficit `5,808`, rank mass `3,614,784`, `857,622` children, largest 21 | `schedule.retained_profile` | +| the tiling candidates | the two admissible patterns of width 72 over `{4, 24, 22}` | `schedule.block_tilings.feasible_patterns` | +| the enumeration | every rank-22 occurrence as an integer tuple per kind, per vertex, with its row identity | `inputs/absorbed-occurrences.json` | +| **the word's base checker** | `4d7c86cd999a1519e0dfb6dcf33a8f26e442a353c3665a0f06881216a260fbf3` | the inventory's `source_pins.checker_sha256` | +| the *unabsorbed* word's formal layer | `20,634` formal columns and `17,114` dirty columns per direction, `1,760` source and `1,760` target columns, integer residual bound `39,780`, packed digit bits `24`, F2 identity and defining-integer decoder both `true`, `new_frames_added = 0` | PR200 certificate, `bit.terminal` / `bit.formal` | +| the *unabsorbed* word's witnesses | `24,401` used frames, `24,401` distinct bases, maximum determinant 118 bits, rule `q > 2^80`, `witness_sha256 = 612f0b91...`, `script_sha256 = 98cd03bc...`, status `PASS exact prime witnesses for every used physical frame` | PR200 certificate, `bit.prime_witnesses` | +| the banked row's physical layer | `m = 72`, `banks = 45,842`, `gauge_roles = 2,200`, `incidences = 154,026`, `physical_roles = 17,114`, `color_stats = {swaps: 733, longest_swapped_path: 11}`, `conflicting_assignment_rejected = true`, `max_den = 18`, `max_num = 5`, `max_chart_factors = 171`, `word_sha256 = 0728ed1c...`, `chart_sha256 = 22662b85...`, `incidence_sha256 = 76bff256...`, `status = PASS exact actual-chain chart and incidence checks` | PR205 certificate, `physical` | + +Two readings matter, and they are the reason this twin is a *closed checklist* rather than an open +question. + +**First, the physical layer exists -- for the unabsorbed word.** PR200 built and pinned the formal +columns and the prime witnesses; PR205 built and pinned the charts, the incidence colouring and the +reject control. R2 and R3 are those same checks re-run on the *banked* word, and the absorbed family +is not a different object: the inventory's `source_pins.word_p12_sha256` **is** PR205's +`physical.word_sha256`, `0728ed1c...`. So the contract asks for bodies behind digests of a word this +repository already half-holds, not for new trust. + +**Second, the digest without the body is the gap.** The five word bodies +(`word_p12.json.gz`, `frames_p12.json.gz`, `graph_p12.json`, `kchron_p12.json`, `profile_p12.json`) +exist in PR200's `prime_witnesses.input_sha256` as hashes of files in the supplier's own workspace, +the witness body as `bit/prime-witnesses.json.gz`, the chart, incidence and word bodies as PR205's +three hashes, and the checker as `source_pins.checker_sha256`. None of those bodies is in the pins. +The one genuinely *new* artifact is the per-occurrence assignment R1 asks for: the enumeration gives +the items, `schedule.py` gives the admissible tilings, and the assignment (item -> bank, offset) with +its normalizer does not exist anywhere yet. + +## 2. The required exports + +Each export names what must be published, the form it takes, the pinned value it must reproduce and +the obligation it unblocks. "Reproduce" means the published body hashes to the digest the certificate +already carries, or declares exactly the count the pinned accounting already fixed. + +| id | the program must publish | form and cardinality | pinned value it must reproduce | unblocks | +| --- | --- | --- | --- | --- | +| **B1 the word and its frames** | the bodies behind the terminal word's five input digests: word, frames (integer kernel basis per frame), graph (parents, children, edges), chronology, and the profile, with the canonical renumbering map from the supplier's frame ids | JSON/gz, integers only; `20,634` formal columns, `17,114` dirty columns, `7,282` changed operation frames, `24,401` used frames, `2,200` selected roles | `prime_witnesses.input_sha256` (all five), `witness_file`, and PR205's `physical.word_sha256` unchanged | R2, R3 | +| **B2 the bank blocks and the assignment** | the rank-22 residual item (one per enumerated occurrence), its coordinate-block shape in a bank of width 72, the selected tiling, and the per-occurrence assignment (item -> bank, offset) with the normalizer sending each item's true residual projector to its assigned block, hashed | JSON tables, integers only; `20,016` items over `6,116` banks of width 72 = `440,352` registers; `6,672` per vertex under factor 3 | `schedule.banks`, `schedule.absorbed_family`, the feasible tilings, the pinned inventory's `counts_per_vertex` and `row_identity_per_vertex` | R1, R4 | +| **B3 charts, colouring and witnesses** | the exact charts of every frame the new blocks use (integer kernel bases, fraction-free inverses, replayed elementary factors), the incidence colouring of the new bank incidences, and the distinct integer Gram/prime witnesses with residual factors | JSON/gz; `24,401` used frames, `17,114` physical roles, `154,026` incidences, `max_chart_factors = 171` | PR205's `chart_sha256`, `incidence_sha256`, `max_den`, `max_num`, `color_stats`, `conflicting_assignment_rejected`, and PR200's `witness_sha256`, frame counts, `rule` | R1, R3 | +| **B4 columns of the banked word** | per direction and ring the formal column tables of the banked word: every source, target and dirty-register column over F2 and over the defining integers, rank-22 transitions realized by bank re-assignment instead of paid children | JSON tables of integer addresses; `20,634` formal, `17,114` dirty, `1,760` source and `1,760` target columns; residual bound `39,780`, packed digits `24` | PR200's `bit.terminal.formal`, `integer_residual_bound`, `packed_digit_bits`, `bit.formal`, `terminal.status`; and R2's statement | R2 | +| **B5 the reject controls** | the negative controls the word's own certificates ran, re-run on the banked word and published with the rejected object: the 4 word controls, the 3 terminal controls, the 21 adverse coarse controls, the 2 rejected adjacent grids and the 6 rejected bank partitions with their 12 weighted cases | JSON, per control the mutated object, the predicate violated and the observed rejection | PR200's `adverse_control_count`, `word_controls`, `terminal.controls`, `coarse.controls` and `coarse.scope`; PR205's `bank_controls`; R3's statement | R2, R3 | +| **B6 envelope and integrity** | the paid moment envelope of the banked word in the form `arithmetic.py` consumes (stock, deficit, retained histogram, worst-case bad fraction `10^-16`, fallback `32*72^2` per retained child), the completion-child ledger, and the manifest of every digest of B1-B5 and the predicates actually run | JSON envelope plus manifest | `schedule.retained_profile` (all of it, histogram included), `schedule.row_identity`, `kappa = 700427501305159/10^18`, `schedule.absorbed_family`; and R4's statement | R4 | + +R4 is the one place an export may move a published number, and the contract says so: if R1 introduces +a completion child, the export must add it to the ledger and **publish the recomputed kappa**, and +the citation this contract makes on `kappa` must be re-anchored. Until then B6's gate admits exactly +the zero-completion-child envelope the pinned kappa prices (`completion_children <= 0`), which is the +fail-closed form of the same rule. + +## 3. Acceptance tests (what "verifiable form" means) + +The tests are the complex side's `A1-A7`, held to the bit side's own published bounds. + +| id | test | bound it is held to | reject control | +| --- | --- | --- | --- | +| **A1** | every exported body hashes to the digest the word's certificates already published | `1cb7e8ed...` (word), `ad8e2705...` (frames), `31a09a55...` (graph), `0fab548e...` (chronology), `c44ef864...` (profile), `612f0b91...` (witness), `0728ed1c...` / `22662b85...` / `76bff256...` (PR205's word, chart, incidence) | any altered byte fails the hash; a matching one is identity, not correctness | +| **A2** | a complete bijection between the supplier's frame ids and the canonical ids, with the frame and role counts reproduced | `24,401` used frames and `24,401` distinct bases, `17,114` physical roles, `2,200` selected roles, `2,242` pinned word files | a renumbering that is not a bijection, or an id used twice | +| **A3** | fraction-free chart inversion and replayed elementary factors on every frame the new blocks use | `max_denominator <= 18`, `max_abs_numerator <= 5`, `max_chart_factors <= 171` | a factor that does not replay, or a denominator above 18 | +| **A4** | the formal columns re-run on the banked word: every source, target and dirty-register column over F2 **and** over the defining integers | `20,634` / `17,114` per direction, `1,760` source and `1,760` target columns, residual bound `39,780`, packed digits `24` | counts quoted from the certificate instead of coming out of the exported tables | +| **A5** | the per-child bijection: the exported occurrences map onto the pinned inventory's items with no other bin touched | `20,016` three-copy items over `6,116 x 72 = 440,352` registers, `1,320 + 24 + 880` per vertex | an occurrence outside the rank-22 bin, a block left without its item, or counts that are not the pinned inventory's | +| **A6** | the colouring of the new bank incidences with the conflicting assignment rejected | `154,026` incidences, `swaps = 733`, `longest_swapped_path = 11`, `conflicting_assignment_rejected = true` | a conflicting assignment accepted | +| **A7** | distinct integer Gram/prime witnesses for every frame the new blocks use, residual factors below the retained `q` bound | `24,401` frames, `24,401` distinct bases, maximum determinant 118 bits, rule `q > 2^80` | a repeated witness, or a factor above the bound | + +A5 is the obligation's own shape: R1 asks for the residual-type definition, the block shapes and a +**hashed** item -> block assignment, and the schedule already enumerates the admissible tilings +(`{rank4: 1, rank24: 1, rank22: 2}` with 4 blocks, or `{rank4: 7, rank24: 0, rank22: 2}` with 9). The +export supplies the selection and the assignment; the gate checks it against the pinned counts and +the pinned bank table in one direction, and the bijection in the other. + +## 4. What the contract deliberately does not ask for + +* **No internal id stability.** Only the canonical renumbering map and the bijection test `A2`. +* **No program text beyond canonical data.** B1 is the word, its frames, its graph, its chronology and + its profile -- not a listing in the supplier's own language. +* **No sources for the supplier's own claims.** The importer re-runs the columns (`A4`) and re-charts + the frames (`A3`); `bit.formal`'s `identity` and `defining_decoder` booleans are claims to + reproduce, not results. +* **No re-derivation of the accounting.** The schedule, the whole-bank condition, the retained ledger + and the conditional kappa are the pinned package's; B6 reproduces them. The single licensed + exception is R4's completion child, described above. +* **No second bank construction.** The gauge family's absorption is already built and pinned in PR205: + it is this contract's *precedent*, not its target. +* **No asymptotic interfaces.** General Clifford/tensor, uniform weighted compilation, restored rows, + routing, paid layout, prime supply, precision/recovery and fixed tape stay the assumptions they + already are. This contract can buy a completed conditional finite witness, never a theorem + (`obligations.json -> claim_scope`), and the complex side's twin states the same limit. + +## 5. The gate, the pinned checker, and the state today + +Both contracts are consumed by the same executable form, [importer66.py](importer66.py), which is +contract-driven: it reads the contract, decides the gate from the bodies' declared data, and refuses +to claim the replay. + +```sh +python3 -B importer66.py --contract export-contract-bit.json --self-test +python3 -B importer66.py --contract export-contract-bit.json --exports exports-bit [--checker FILE] +python3 -B importer66.py --contract export-contract-bit.json --exports exports-bit --partial [--json] +``` + +**The gate** is decidable from what the bodies declare: the hashes (`A1`), the cardinalities and the +frame bijection (`A2`), the chart and witness bounds (`A3`, `A7`), the colouring statistics (`A6`), +the per-child bijection against the pinned inventory (`A5`), and the column counts that must come out +of the exported tables rather than the certificate (`A4`). `--self-test` builds synthetic bit bodies, +patches the anchored digests to the synthetic hashes and breaks each check in turn: the same thirteen +cases the complex contract gets, all four exit codes included -- the thirteenth being the partial +report on the real drop, which the harness also refuses to read as an import. Three defects the real +drop exposed are fixed rather than papered over: a body that is named but absent was being counted as +a *failed* check instead of a missing datum, the anchored-digest and manifest loops crashed on an +absent body instead of reporting the absence, and a body that is present but unparseable remains a +hard failure. + +**The replay** is the physics -- the formal columns, the chart replay, the colouring and the envelope +re-derived -- and the harness never claims to have run it. This contract pins the bit word's own +checker, `source_pins.checker_sha256 = 4d7c86cd...`, the digest the rank-22 inventory carries. That +is deliberately *not* the complex side's `lift.checker_sha256 = 9d841bcf...`: each contract pins its +own supplier's checker by digest, and the two are asserted to differ. + +**Today: the pins export 0 of 6 bodies, and the drop beside them decides 2 of the 7 tests.** Everything +above is present in the pins only as a digest, a count, a status, a path or an enumeration, so the +contract still *fails closed*: the default import exits 2 refusing the five absent bodies, R1-R4 stay +OPEN, the conditional kappa keeps its conditional flag, and nothing in the ledger pair changes status. + +Beside the pins, though, this package now ships `exports-bit/`, and it holds **10 of the 15 required +bodies, 8 of them anchored**: + +| export | bodies in the drop | state | +| --- | --- | --- | +| **B1 the word and its frames** | `word.json.gz` `1cb7e8ed...`, `frames.json.gz` `ad8e2705...`, `graph.json` `31a09a55...`, `kchron.json` `0fab548e...`, `profile.json` `c44ef864...`, plus the derived `index.json.gz` | complete | +| **B3 charts, colouring and witnesses** | `charts.json` `22662b85...`, `incidence.json` `76bff256...`, `prime-witnesses.json.gz` `612f0b91...`, plus the derived `charts.index.json.gz` | complete | +| **B2 the bank blocks and the assignment** | `assignment.json` | absent | +| **B4 columns of the banked word** | `columns.json` | absent | +| **B5 the reject controls** | `controls.json` | absent | +| **B6 envelope and integrity** | `envelope.json`, `integrity.json` | absent | + +The word bodies and the witness body are the supplier's own bytes, each hashing to the digest its +certificate already published. The two streams are not files upstream -- PR205 published digests of +canonical streams -- so they were reproduced rather than obtained: running PR205's packer unmodified +on the word bodies re-derives both streams byte for byte, and `exports-bit/physical.rebuilt.json` +differs from PR205's published `physical` block in **0 of its 26 fields**. What the bodies do not +declare themselves is declared by `index.json.gz` (B1) and `charts.index.json.gz` (B3), derived by +`bitindex.py` from the bodies and the pinned certificates rather than typed in; neither is anchored, +because an index is a declaration and the bodies it describes are what carry the digests. + +The gate on that drop: + +```sh +python3 -B importer66.py --contract export-contract-bit.json --exports exports-bit --partial # exit 4 +python3 -B importer66.py --contract export-contract-bit.json --exports exports-bit # exit 2 +``` + +| test | on the real drop | +| --- | --- | +| **A2** | **PASS**, 9 checks: the six index counts, the frame-record bijection over 220 ids, the zero foreign-replay bound and the presence of the sibling digests | +| **A3** | **PASS**, 17 checks: the colouring statistics, the denominator and numerator bounds, the banked row and the 24,401-entry witness table | +| **A1** | 17 checks pass and 0 fail -- its eight digest anchors all match -- and it is **not runnable**: the manifest that must hash every body arrives with B6 | +| **A6, A7** | 17 checks pass and 0 fail each, and **not runnable**: B5's controls are owed | +| **A4, A5** | no check yet: B4's tables and B2's assignment are absent | + +So two of the seven acceptance tests now decide on published bytes, the drop is reportable in part and +**never admissible** (code 4 is never an import), and the replay stays `NOT RUN` until the checker +`4d7c86cd...` is supplied. The run is kept as [bit-drop-report.json](bit-drop-report.json), and +[bitcontract.py](bitcontract.py) authors this twin's machine-readable form from the pinned bytes, so +the contract is reproducible rather than transcribed. + +Once the remaining bodies exist, the discharge is mechanical and ordered: `A1` admits the last of +them, `A6-A7` follow B5's controls, `A4` follows B4's tables and `A5` follows B2's assignment -- the +one genuinely new artifact R1 asks for; `A4` re-runs R2 on the banked word; `A6-A7` close R3; B6 +closes R4 by reproducing the retained ledger exactly. That is the whole of what this contract buys, +and it is stated in the form the supplier can act on: *publish the bodies behind the hashes you +already publish, plus the assignment the schedule's tilings make possible.* diff --git a/research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md b/research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md new file mode 100644 index 0000000000..d7c5717728 --- /dev/null +++ b/research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md @@ -0,0 +1,254 @@ +# The rank-3 rung's export contract + +**What the supplier's program must publish for C1-C7 to become a bank increment at this rung.** + +`obligations.json` states C1-C7 for the complex ladder of this package, and +[EXPORT-CONTRACT.md](research/complex-bank-run3/EXPORT-CONTRACT.md) turns them into an +interface the importer can accept or refuse -- addressed to the supplier whose word the +ladder banks. This file writes **the same contract at one rung**: the rank-3 family of +PR233's source-assisted v4 layer, the first family of that row whose own volume fills whole +width-66 banks. Two things make it worth writing separately rather than reading off the +general form: + +* the rung's family **divides the bank width** (`66 = 22 * 3`), so its assignment is one + uniform tiling with **no padding at all** -- the T1 obligation the padded schedule exists + to satisfy does not arise here, and the acceptance test that checks the assignment + therefore *rejects* a padding register instead of asking for one; +* the retained row **re-prices above the published top of the ladder and prices bit-bound**: + after this rung the complex coarse saving no longer binds, so the next lever is the bit + leaf and not the supplier. + +The machine-readable twin is [export-contract-rank3.json](research/complex-bank-run3/export-contract-rank3.json), +authored by [rank3contract.py](research/complex-bank-run3/rank3contract.py); the assignment +it is checked against is instanced by [instantiate_rank3.py](research/complex-bank-run3/instantiate_rank3.py) +into [occurrences-rank3.json](research/complex-bank-run3/occurrences-rank3.json). Every +digest, count and status quoted below is derived in that author and re-derived by +`verify.py -> check_rank3_export_contract`, which also resolves every citation -- so the +contract cannot cite a number that is not in the bytes it names. + +## 1. The row, read not assumed + +The rung is priced on a row that this package's pins did not carry until this contract, and +that is **not merged**: PR233's layer certificate at head `109a857`, vendored here +byte-identical as +[references/pr233-source-assisted-v4-layer.certificate.json](research/complex-bank-run3/references/pr233-source-assisted-v4-layer.certificate.json) +(3,988 bytes, sha256 `691cb0aaeb0d6b99…`). The digest is what pins it: if the branch moves, +`check_manifest` fails closed and this contract has to be re-taken rather than reused. + +| published by the row | value | +| --- | --- | +| its verdict | `PASS source-assisted v4 word with this package's physical layer` | +| its physical audit | `PASS exact fused physical candidate, all formal source/target/dirty columns` | +| the word | `m = 66`, `W_per_vertex = 12,052`, `deficit_per_vertex = 1,320`, `rank_per_vertex = 794,112` | +| its own price | `complex_saving = 3549537/5*10^9 = 7.0991e-4`, `kappa = 6768823/10^10`, `binding = bit` | +| its child histogram | `3: 29,964`, `4: 11,517`, `18: 7,920`, `20: 66` (and `16: 243`, the old rung 3's family, which on this row is no longer a whole-bank family) | +| its lift | `nodes = 18,532`, `physical_R = 9,412`, `max_denominator = 2` | +| its layer | `frames = 17,789`, `frames_changed_from_pr168 = 0`, `pairs = 2,310`, `packed_digit_bits = 24` | +| its columns | `source_columns = 1,320`, `target_columns = 1,320`, `dirty_columns = 13,372` per direction; mutations `early-read REJECTED`, `missing-read REJECTED` | +| its column checks | `checked_source_columns = 1,320`, `checked_target_rows = 1,320`, `read_counts = {center: 22, deferred: 2,310, side: 3,135}`, `all_fresh_columns_equal_identity` | +| its audit sources | five digests under `layer.audit_source_sha256` | +| **what it does not publish** | no key containing `bank`, none containing `assign`, none containing `occurrence` -- machine-read by the author and re-read by `verify.py`. The only per-child inventory in the pins is still #219's bit-side `inputs/absorbed-occurrences.json` | + +That last row is the whole reason this contract exists at this rung: the row publishes the +word's *accounting* and its physical candidate's *column counts*, and publishes no bank, no +block layout, no item address and no per-child provenance. + +## 2. The rung's geometry, and why there is no padding here + +| quantity | value | +| --- | --- | +| children per vertex | `29,964` (three registers each) | +| registers per vertex | `3 * 29,964 = 89,892` | +| three-copy volume | `3 * 89,892 = 269,676 = 66 * 4,086` | +| banks | `4,086` three-copy (`1,362` per copy) | +| block pattern | `66 = 22 * 3`: 22 rank-3 blocks of three registers, **every bank exactly filled** | +| padding | `0` registers, `0` per bank -- the padded schedule's T1 does not arise | +| address rule | item `i` -> bank `i // 22`, block `i % 22`, offset `3 * (i % 22)`; last address `(bank 4085, block 21, offset 63)` | +| table digest | sha256 over `item,bank,block,offset` lines: `71cb207f763fba75285d829241d330d3210d619f0adf3b79114305a0bf0d9f6c` | + +The assignment is **instanced on our side** already, and that is what makes the export's +first test a bijection rather than a count: `occurrences-rank3.json` enumerates the 89,892 +items, their banks, blocks and offsets, and passes `verify.py`. + +The ledger the assignment induces, three-copy rows throughout: + +| quantity | before | after | +| --- | --- | --- | +| stock `W` | `36,156` | `32,070` (drop `4,086` = the bank count) | +| deficit | `3,960` | `3,960` | +| mass | `2,382,336` | `2,112,660` (drop `269,676` = `banks * 66`) | +| children | `635,067` | `545,175` | +| families | `20` | `19` (the largest child stays rank `20`) | +| histogram digest | -- | `6e825f3357ba09352d6eee2a190895f414e5f9a83d0ff4772a7d002aae470bc4` | + +The family takes `681/6016 = 11.32%` of the ledger's mass, and what remains still holds +whole-bank families: rank `4` (2,094 banks), rank `18` (6,480) and rank `20` (60) by the +volume criterion -- all three of which fail rank-divides-width and therefore still owe T1's +padding. They are the *next* rung's business, and this contract names them only so that it +does not look exhaustive. + +### 2b. The price this rung carries, and it is bit-bound + +| quantity | value | +| --- | --- | +| retained coarse saving | `417325324839139/5*10^17 = 8.346506496783e-4`; the next `10^-18` grid point up (`834650649678279/10^18`) is excluded | +| bit leaf | `7.282510899902e-4` -- the published leaf, re-derived here through #219's vendored arithmetic rather than read, and asserted equal to `certificate.json -> calibrations.run1.bit_leaf` | +| budget | the leaf itself (`bit_leaf_headroom = 0`): the complex branch, at `8.346506496783e-4`, is *above* it | +| kappa | `1819302815717/25*10^14 = 7.277211262868e-4`, `binding = bit` | +| complex ceiling | `417325324839139/500417325324839139 = 8.339545889388e-4`, i.e. `1.06e-4` **above** the kappa: this rung is not ceiling-tight the way the published ladder's rungs are | +| assembly | the unchanged 47-constraint assembly is green at that budget, and green tightly: its smallest strict constraint is `lambda - tau = budget * eta = 7.282511e-28 > 0`. Its own adjacent `10^-18` point is rejected | +| gain | `+2.2655%` over the published top of the ladder, `711599961413937/10^18 = 7.11599961413937e-4` | + +**None of this is a published claim.** The row's PR is not merged, `certificate.json` still +carries the old ladder's kappa, and this file states what the rung *would* price and what it +*would* take. The contract's own `our_side.allowed_to_move` block records exactly that. + +## 3. The required exports + +Each export names what must be published, the form it takes, the digest or identity it must +reproduce and the obligation it unblocks. "Reproduce" means: the published body is checked +against a number the row or this package already carries -- never new trust. + +| id | the program must publish | form and cardinality | what it must reproduce | unblocks | +| --- | --- | --- | --- | --- | +| **G1 assignment** | the item-to-bank/block/offset map for all `89,892` items onto `4,086` banks x `22` blocks x `3` registers, the per-bank layout of all `66` registers with none padding, the per-copy table of `1,362` banks, and a digest over the whole table | JSON, integers only, one row per item plus one row per bank | the `71cb207f…` table digest and the counts of `occurrences-rank3.json` | C1, C5 | +| **G2 normalizer** | the literal operation program of this layer in canonical order (per node: id, kind, incoming and outgoing edge ids, span) together with the map sending each item's true residual projector to the block G1 assigns | JSON, integers only; `18,532` nodes, `physical_R = 9,412`, `max_denominator = 2`, `89,892` items moved | `lift.nodes = 18,532`, `lift.physical_R = 9,412`, `lift.max_denominator = 2`, and the five `layer.audit_source_sha256` digests | C1 | +| **G3 program and columns** | the renumbered program and the formal-column checks re-run on the word after the re-assignment: every source, target and dirty-register column over F2 and over the defining integers, target chronology nested, source controls at paid-parity frames, both mutation controls rejected | JSON tables of integer addresses plus the column summary; `1,320` source, `1,320` target, `13,372` dirty per direction, `packed_digit_bits = 24` | the row's `checked_source_columns`, `checked_target_rows`, `read_counts`, `dirty_columns`, `pairs = 2,310`, `mutations` | C2, C1 | +| **G4 charts, colouring, witnesses** | exact charts (integer kernel bases, fraction-free inverses, replayed elementary factors) for every frame the new blocks use, the colouring of the `269,676` new incidences, and distinct integer Gram/prime witnesses for every one of those frames | JSON bodies per chart plus a colouring and a witness table; `89,892` charts, `269,676` incidences | `lift.max_denominator = 2`; PR205's precedent (`physical_roles = 17,114`, `swaps = 733`, `longest_swapped_path = 11`) | C3 | +| **G5 provenance** | one entry per child of the rank-3 family with its frame or chain identity, in the shape of the pinned bit-side inventory | JSON: `counts_per_vertex`, `occurrences_per_vertex`, `row_identity_per_vertex`, `source_pins`; `29,964` per vertex, `89,892` items, `4,086` banks | the row's `child_histogram[3] = 29,964`, the pinned inventory's shape, and this package's own item/bank counts and table digest | C5, C6, C7, C1 | +| **G6 envelope and integrity** | the paid moment envelope of the retained row in the form `arithmetic.py` consumes (retained stock, deficit, retained histogram, worst-case bad fraction, the convention's fallback), plus every digest of G1-G5 and the list of predicates actually run | JSON envelope plus manifest; retained stock `32,070`, deficit `3,960`, mass `2,112,660`, children `545,175`, families `19` | `occurrences-rank3.json`'s retained stock, deficit, mass and histogram digest | C4, R4 | + +### 3b. The gate is executable: ten bodies, in the importer's own dialect + +The contract is not a description of an interface: `importer66.py` consumes it directly. Each +export names the **bodies** it requires -- `assignment.json` (G1), `normalizer.json` (G2), +`columns.json` (G3), `charts.index.json.gz`, `charts.json` and `incidence.json` (both published +byte-for-byte, hashed and never parsed) and `prime-witnesses.json.gz` (G4), `children.json` +(G5), `envelope.json` and `integrity.json` (G6): **ten bodies across the six exports** -- and +each gate is declared in the harness's own vocabulary (`equals`, `bijection`, `at_most`, +`flags_true`, `distinct_below`, `counted_in_tables`, `equals_in`, `declares_every_body_on`), so +there is no translation layer between the contract and the code that decides it. + +```sh +cd research/complex-bank-run3 +python3 -B importer66.py --contract export-contract-rank3.json # refuses: exit 2 +python3 -B importer66.py --contract export-contract-rank3.json --partial # reports: exit 4 +python3 -B importer66.py --contract export-contract-rank3.json --self-test # exit 0 +``` + +Two of the checks are comparisons this package already holds rather than restatements: G1's bank +table must carry the `71cb207f...` table digest and the counts of `occurrences-rank3.json` +(which is what makes A2's bijection a bijection against *this package's* addressing rule), and +G5's `counts_per_vertex[3]` must be the row's own `child_histogram[3] = 29,964`, read out of the +pinned certificate rather than from the contract. + +The five exit codes are the two other contracts' five, and every one of them is exercised: + +| code | what it means here | +| ---: | --- | +| 0 | admissible: every body present, the gate green and the pinned replay checker passed | +| 1 | a check failed: A1 on a tampered body, or a declared bound, bijection, flag, witness, table or comparison broken | +| 2 | refusing: at least one of the ten bodies absent (the state today), or a checker supplied that the contract does not pin | +| 3 | gate green, replay NOT RUN: no checker was supplied | +| 4 | partial: the gate run on the bodies present, for reporting only; nothing is discharged | + +`--self-test` builds synthetic bodies out of the contract's own declared expectations, patches +the anchored digests to the synthetic hashes -- streams included, written as they are published +-- and then breaks each declared check in turn: **thirteen cases, all passing**. That is what +makes "the gate is executable" a measurement rather than a claim. + +One gap is recorded rather than papered over. **The row publishes no checker digest**, so there +is nothing for the harness to accept: a walk of the pinned certificate finds no key containing +`checker` anywhere, and its nearest published evidence is `layer.audit_source_sha256`, five +source digests, which is a digest *set* and not a checker. The harness therefore reports the +replay NOT RUN when no checker is supplied (exit 3) and refuses any checker that is (exit 2), +and `check_rank3_export_contract` asserts the absence against the pinned bytes. A green gate on +these ten bodies would still not be an *admissible* import: this rung's physics stays a stated +dependency until the row publishes a checker. + +## 4. Acceptance tests + +| id | test | the bound it is held to | reject control | +| --- | --- | --- | --- | +| **A1** | every body hashes to a digest the row or this package already published, and the row's audit sources are declared by digest | five `layer.audit_source_sha256` digests, `max_denominator = 2`, the `71cb207f…` table digest | any altered byte fails the hash; a matching one is evidence of identity, not correctness | +| **A2** | the assignment is a bijection with **no padding** | `89,892` items onto `4,086` banks x `22` blocks x `3` registers, all `66` registers of every bank used, `1,362` banks per copy, padding `0` | an item placed twice, a block without its item, or a bank with an unused register -- the padding ranks 16 and 20 need would fail here | +| **A3** | no other bin of the ledger moves | children `635,067 -> 545,175`, families `20 -> 19`, mass drop `269,676 = 4,086 * 66`, stock drop `4,086`, largest child `20` unchanged, histogram digest reproduced | one child of another bin moving, or a stock drop that is not the bank count | +| **A4** | the retained row re-prices the top, bit-bound | coarse `8.346506496783e-4` with the next `10^-18` point up excluded, budget = the leaf `7.282510899902e-4`, kappa `7.277211262868e-4`, `binding = bit`, tightest of the 47 constraints `7.282511e-28 = budget * eta`, adjacent grid point rejected | quoting the row's own coarse saving (`7.0991e-4`) or the row's own kappa (`6.7688e-4`), or a point whose next `10^-18` step also assembles | +| **A5** | the columns of the modified word | `1,320` source columns, `1,320` target rows, `13,372` dirty columns per direction, `packed_digit_bits = 24`, `2,310` pairs, `read_counts 22/2,310/3,135` | counts quoted from the row instead of coming out of the exported tables, or a mutation control that reports PASS | +| **A6** | the incidence colouring of the new incidences | two-colouring with a conflicting assignment rejected, at the fraction-free chart inversion; PR205 precedent `swaps 733`, `longest_swapped_path 11`, `physical_roles 17,114`; this rung's incidences `269,676` | a conflicting assignment accepted | +| **A7** | distinct integer Gram/prime witnesses for every frame the new blocks use | the retained prime threshold (PR205: all `17,114` physical roles witnessed); this rung's charts `89,892` | a repeated witness, or a residual factor above the bound | + +A2 is the test this rung adds to the general form: "no padding" is not a remark about the +schedule but a property of the exported map, and a body that filled a bank by leaving a +register idle would be refused even though it is a *uniform* tiling of the sixteen-coordinate +or twenty-coordinate kind. + +## 5. C1-C7 restated at this rung + +The obligations themselves are `obligations.json`'s and are quoted verbatim in the contract +(`obligations_restated[*].quote` is resolved against that file by `verify.py`); what this +table adds is what each one *means here*, and what would discharge it. + +| id | at this rung | exports | status | +| --- | --- | --- | --- | +| **C1** | build the `4,086` width-66 banks and the normalizer that sends each of the `89,892` items' true residual projectors to its assigned block | G1, G2, G3, G5 | `OPEN_PHYSICAL_HALF_INSTANCED_COMBINATORIAL_HALF` | +| **C2** | re-run the formal columns on the word after the rank-3 family leaves, reproducing `1,320 / 1,320 / 13,372` and the read counts | G3 | OPEN | +| **C3** | charts, colouring and witnesses for the `89,892` new blocks and their `269,676` incidences -- uniform, because rank 3 divides the width, so no padding frame is introduced | G4 | OPEN | +| **C4** | envelope parity at this rung's numbers: retained stock `32,070`, deficit `3,960`, mass `2,112,660`, children `545,175`, families `19`, histogram digest `6e825f33…`; coarse `8.346506496783e-4`, kappa bit-bound at `7.277211262868e-4` | G6 | OPEN | +| **C5** | the rank-3 family's provenance: `29,964` children per vertex, `89,892` items onto `4,086` banks x `22` blocks, each with its frame or chain identity | G5 | `INVENTORY_INSTANCED_AT_SCHEDULE_LEVEL` | +| **C6** | the retained row's next whole-bank family (rank `4`, `2,094` banks) -- which does **not** divide the width and so still owes T1's padded tiling as well as its provenance | G5 | `OPEN_NOT_THIS_RUNG` | +| **C7** | the same for the families beyond (`18`, `20`; the retained eligibility is `[4, 18, 20]`, all failing rank-divides-width) | G5 | `OPEN_NOT_THIS_RUNG` | + +C6 and C7 are deliberately outside this rung's scope: absorbing rank 3 does not touch them, +and pretending otherwise would make the contract an inventory instead of a rung. The +inherited bit-side R1-R4 travel with the contract unchanged. + +## 6. What the contract deliberately does not ask for + +* **No internal id stability.** Only a canonical renumbering map and the bijection test A2. +* **No program text beyond canonical data.** G2 is nodes, kinds, edges and spans -- not a + listing in the supplier's own language. +* **No sources for the row's own claims.** The importer re-runs the columns (A5) and + re-charts the frames (A6): a boolean in `contract_checks` is a claim to reproduce. +* **No padding.** Rank 3 divides the width; A2 rejects a padding register rather than + asking for one. +* **Nothing about the retained row's further families.** C6 and C7 are the next rung's. +* **No asymptotic interfaces.** General Clifford/tensor, uniform weighted compilation, + restored rows, routing, paid layout, prime supply, precision/recovery and fixed tape stay + the stated assumptions they already are -- so this contract can buy a conditional finite + witness, never a theorem (`obligations.json -> unconditionality`). + +## 7. Failure semantics, and the state today + +**Today: 0 of the 6 required bodies exist** on the supplier's side, and that reading is +machine-checked rather than asserted: the author walks the vendored certificate for keys +containing `bank`, `assign` and `occurrence` and finds none, and `check_rank3_export_contract` +re-reads the same three empty lists. The import therefore fails closed: the rung stays a +scheduled target and the kappa keeps its conditional flag. + +The one exception is **on this package's side of the interface**: the combinatorial half of +C1 -- the item-to-bank/block/offset assignment -- is instanced (`occurrences-rank3.json`, +digest `71cb207f…`), which is what makes G1's and G5's acceptance a bijection in both +directions rather than a count of items nobody can name. + +Once the exports exist the discharge is mechanical, and ordered: + +1. **A1** admits the anchored bodies, and G2's normalizer becomes a re-assignment over + published frames -- the physical half of C1. +2. **A2** makes the assignment a bijection with no padding; **A3** closes the inventory and + the item-to-block half of C1. +3. **A5** re-runs C2 on the modified word; **A4** closes C4 and R4; **A6** and **A7** close + C3. + +What that buys is the rung -- and it buys it on a row that is pinned to an unmerged branch, +so the honest description of this file today is *an interface and a target*, not a result. +The next lever it identifies is not the supplier: after this rung the complex branch sits +`1.06e-4` above the binding budget, so the ceiling is no longer what is being spent. The +measurement that confirms it is `rank4rung.py` -> +[rank4-rung.json](research/complex-bank-run3/rank4-rung.json): banking the *next* family +(rank 4) is not realisable at the bank count the volume criterion prices, its T1 padding cannot +be saturated (nine slots short), the mixed tiling that does exist draws at least 22 of the +bank's 66 registers from other bins, and none of it moves κ by a single `10^-18` step -- the +coarse saving rises by `+8.89%` on the priced ledger and by `+114.8%` on the best tiled one +while κ stays `1819302815717/25*10^14`. The lever is the bit leaf, and the same module says +exactly how much of it each further target needs. diff --git a/research/complex-bank-run3/EXPORT-CONTRACT.md b/research/complex-bank-run3/EXPORT-CONTRACT.md new file mode 100644 index 0000000000..670bea0691 --- /dev/null +++ b/research/complex-bank-run3/EXPORT-CONTRACT.md @@ -0,0 +1,100 @@ +# The normalizer's export contract + +**What the complex supplier's program must publish for C1-C3 to become a bank increment.** +`obligations.json` -> `unconditionality` records that C1-C7 and R1-R4 are one missing artifact: +the literal operation program, then the columns, charts, witnesses and envelope re-run on the +word it banks. This file says exactly what that artifact has to contain, in what form, and how +each part is checked -- so that the work stops being "a construction" and becomes an interface +the importer can accept or refuse. The machine-readable twin is +[export-contract.json](research/complex-bank-run3/export-contract.json), and every digest and +count quoted below is asserted against the pinned bytes by `verify.py -> check_export_contract`. + +## 1. What the pins already publish (the starting point, read not assumed) + +| published today | value | where | +| --- | --- | --- | +| the supplier's own verdict | `PASS conditional finite witness` | PR193 certificate, `status` | +| the gap | "A literal globally renumbered operation program is not exported" | `complex_profile.status` | +| its receipts | "literal globally renumbered program/replay remains a downstream integration task" | `assembly.construction_receipts.status` | +| complex profile | `m = 66`, `W_per_vertex = 12,052`, `deficit_per_vertex = 1,320`, `h = 22`, `v = 1,320`, `rank_per_vertex = 794,112`, `physical_R = 9,412`, `loss = 440` | `complex_profile` | +| its arithmetic | coefficients `[[-2,1],[-1,1],[-1,2],[1,2],[1,1],[2,1]]`, `denominator_lcm = 2`, root `7.009184438594e-04` | `complex_profile` | +| its **digests** | `exact_scalar_program_sha256 = 3b4e671d…`, `exact_lift_certificate_sha256 = 1d81a79b…` (path `research/source-assisted-v4/.work/lift.certificate.json.gz`), `flow.witness` `51da02c6…`, `proof_chain_sha256 = {frames.json 434b815…, graph.json a4d350f…, record.json 2065cba…}` | `complex_profile`, `lift` | +| its column checks | `checked_source_columns = 1,320`, `checked_target_rows = 1,320`, `read_counts = {center: 22, deferred: 2,310, side: 3,135}`, `target_chains_nested`, `all_fresh_columns_equal_identity`, `all_centers_in_phase1`, `all_target_cap_reads_in_phase2` | `complex_profile.contract_checks` | +| its exact lift | `inverse_elementary_gates = 58,165`, `nodes = 18,532`, `physical_R = 9,412`, `witness_path = …/flow.witness.json`, `checker_path = …/exact_complex_flow_lift.py`, `checker_sha256 = 9d841bcf…` | `lift` | +| its flow | `frames = 18,532`, `vectors = 26,200`, `incoming_dependencies = 24`, `outgoing_dependencies = 8,116`, `edge_basis_values = 42,787`, birth/retirement histograms, `cache_sha256 = {frames.json, graph.json, record.json}`, `source_sha256 = {…/physical/frames.json, pairs.json, …}` | `flow` | +| its regeneration recipe | "Run `source_aligned_local_v4.py`, PR184 `complex_frame_flow.py` …, PR184 `exact_complex_flow_lift.py`, and this checker on the PR168 v4 producer cache" | `complex_profile.regeneration` | + +Two readings matter. First, the supplier publishes **digests, counts, statuses and paths** -- +never a body: `3b4e…`, `1d81…`, `51da…`, `434b…`, `a4d3…`, `2065…` are all hashes of artifacts +that live in its own workspace (`research/source-assisted-v4/.work/…`) or in a PR168 v4 producer +cache, and none of them is in the pins. Second, its own `flow` block says of itself: +*"Modular equal-frame flow price, retaining dirty kernel lifts and complete full-frame cleanup. +**Not an exact supplier certificate.**"* The exact object is the `lift`/witness pair, and the +contract below is addressed there; a modular flow price is explicitly **not** acceptable evidence. + +## 2. The required exports + +Each export names what must be published, the form it must take, the digest it must reproduce and +the obligation it unblocks. "Reproduce" means: the published body hashes to the digest the +certificate already carries, so the contract asks for *bodies behind existing hashes*, never for +new trust. + +| id | the program must publish | form and cardinality | digest it must reproduce | unblocks | +| --- | --- | --- | --- | --- | +| **E1 program** | the literally renumbered operation program, in canonical order: per node its canonical id, operation kind, incoming and outgoing edge ids, and its span | JSON, integers only, exactly `18,532` nodes and `58,165` inverse gates | `lift.exact_scalar_program_sha256 = 3b4e671d…` | C2 (the word to re-run), C1 | +| **E2 frames** | the bodies behind the three cache digests: `frames.json` (integer kernel basis per frame; `edge_basis_values = 42,787`; edge nullity histogram), `graph.json` (parents, children, `incoming_dependencies = 24`, `outgoing_dependencies = 8,116`), `record.json` (provenance) | JSON, canonical integer bases | `434b815…`, `a4d350f…`, `2065cba…` (`proof_chain_sha256` / `flow.cache_sha256`) | C1, C3 | +| **E3 lift and witness** | the exact rational local lifts and inverse gate programs per node, plus the flow witness they were checked against | JSON/gz bodies, denominators `<= 2`, coefficients in the six published pairs, `denominator_lcm = 2` | `lift.certificate_sha256 = 1d81a79b…`, `witness_sha256 = 51da02c6…` | C1 (the projectors the normalizer moves), C3 | +| **E4 chronology** | per vertex the read/write tables: target read chains (nested), source controls at paid-parity frames, and the deferred/side/centre reads with their counts | JSON tables, `read_counts = {center: 22, deferred: 2,310, side: 3,135}`, `checked_source_columns = 1,320`, `checked_target_rows = 1,320` | the `contract_checks` block itself | C2, C3 | +| **E5 children** | the per-bin occurrence inventory of the absorbed families in the shape of the bit word's `inputs/absorbed-occurrences.json`: `counts_per_vertex`, `occurrences_per_vertex` as integer tuples per kind, `row_identity_per_vertex`, `source_pins` | JSON, per vertex `1,062` rank-11, `264` rank-16, `66` rank-20 items with each child's **frame/chain identity** | the pinned inventory's five `source_pins` digests as the format precedent; the flow's own `retirement_histogram` already counts these children (`"1:20": 198`, `"2:20": 1320`, `"2:21": 2640`) | C5, C6, C7, and C1's item-to-block side | +| **E6 envelope and integrity** | the paid moment envelope in the form `arithmetic.py` consumes (retained stock, deficit, retained histogram, worst-case bad fraction, fallback), plus the package path, its head, every digest of E1-E5 and the list of acceptance predicates actually run | JSON envelope + manifest | `complex_profile` totals and histograms, which this package already prices | C4, R4 | + +The bit-side twin of this contract is already half-met in the pins: PR205's packed certificate +publishes a banked word's *shape* -- `m = 72`, `banks = 45,842`, `gauge_roles = 2,200`, +`incidences = 154,026`, `patterns = [{rank24: 2, rank4: 6} x 3,300, …]`, `color_stats`, and the +digests `word_sha256 = 0728ed1c…`, `chart_sha256 = 22662b85…`, `incidence_sha256 = 76bff256…`, +with `status = PASS exact actual-chain chart and incidence checks`. That is the export shape E1-E4 +must reach on the complex word, and R1's precedent to extend. + +## 3. Acceptance tests (what "verifiable form" means) + +| id | test | bound it is held to | reject control | +| --- | --- | --- | --- | +| **A1** | every body hashes to the digest the certificate already published | `3b4e…` (program), `1d81…` (lift), `51da…` (witness) | any altered byte must fail the hash; a matching one is not evidence of correctness, only of identity | +| **A2** | a complete frame-record bijection between the supplier's ids and the canonical ids, plus `frames` and `edge_basis_values` reproduced | `18,532` frames, `42,787` basis values | a renumbering that is not a bijection, or an id used twice, is rejected | +| **A3** | fraction-free chart inversion and replayed elementary factors on every frame, with the denominator bound | denominators `<= 2`; `max_abs_numerator <= 2` | a factor that does not replay, or a denominator above the published bound | +| **A4** | the formal columns re-run on the modified word: every source, target and dirty-register column over F2 **and** over the defining integers, with the target chronology nested and the source controls at paid parity frames | `1,320` source columns and `1,320` target rows per vertex; `read_counts 22/2,310/3,135` | the column counts must come out of the exported tables, not be quoted from the certificate | +| **A5** | the per-child bijection: the exported occurrences map onto this package's `occurrences66.json` items (3,186 / 792 / 198 three-copy items onto 531 x 6, 198 x 4, 66 x 3) with no other bin touched | item counts per bin, and the flow's own retirement counts | an occurrence outside the ledger's bins, or a block left without its item | +| **A6** | incidence colouring of the new incidences with the conflicting assignment rejected | PR205 precedent: `swaps = 733`, `longest_swapped_path = 11` | a conflicting assignment accepted | +| **A7** | distinct integer Gram/prime witnesses for every frame the new blocks use, residual factors below the retained `q` bound | the retained prime threshold (PR205: `physical_roles = 17,114`, all used frames witnessed) | a repeated witness, or a factor above the bound | + +A5 is the test that turns C5-C7 into an increment rather than an inventory: our side of it already +exists (`occurrences66.json` enumerates 4,176 items over 795 banks and passes `verify.py`), so the +export supplies the *identity* of each item and the bijection is checked in one direction and the +other. + +## 4. What the contract deliberately does not ask for + +* **No internal id stability.** Only the canonical renumbering map and the bijection test (A2). +* **No program text beyond canonical data.** E1 is nodes, kinds, edges and spans -- not a listing + in the supplier's own language. +* **No sources for the supplier's claims.** The importer re-runs the columns (A4) and re-charts + the frames (A3); a boolean in `contract_checks` is a claim to be reproduced, not a result. +* **No asymptotic interfaces.** General Clifford/tensor, uniform weighted compilation, restored + rows, routing, paid layout, prime supply, precision/recovery and fixed tape stay the stated + assumptions they already are: this contract can buy a conditional finite witness, never a + theorem (`obligations.json` -> `unconditionality`). +* **No modular flow price.** `flow.status` disclaims exactness; only the `lift`/witness pair + satisfies E3. + +## 5. Failure semantics, and the state today + +**Today: 0 of 6 bodies are exported.** Every required export is present in the pins only as a +digest, a count, a status or a path, and `check_export_contract` asserts exactly that reading +against the pinned certificate. The import therefore *fails closed*: the package stays a scheduled +target, the kappa keeps its conditional flag, and nothing in C1-C7 changes status. + +Once the exports exist, the discharge is mechanical and ordered: A1-A3 make E2-E3 admissible and +C1's normalizer becomes a re-assignment over published frames; A4 re-runs C2; A5 closes C5-C7 and +the item-to-block half of C1; A6-A7 close C3; E6 closes C4. That is the whole of what the contract +buys, and it is stated in the form the supplier can act on: *publish the bodies behind the hashes +you already publish, plus the renumbering map, the chronology tables and the per-child identities.* diff --git a/research/complex-bank-run3/NOTICE.md b/research/complex-bank-run3/NOTICE.md new file mode 100644 index 0000000000..12ddc8091d --- /dev/null +++ b/research/complex-bank-run3/NOTICE.md @@ -0,0 +1,67 @@ +# Notice and credits — `research/complex-bank-run3` + +This package is Apache-2.0, in line with the repository, and changes no existing file. It +vendors two inputs byte-identically and pins them by sha256 (`SOURCE.json`); their licences +and notices are retained with them. + +## Vendored inputs + +* `references/pr219-run1/` — **PR219**, `research/residual-bank-run1` (head `237067f`). This is + rung 1 itself: the bit word's rank-22 absorption, the retained-ledger schedule, the exact + interval-moment engine and the 47-constraint balanced assembly. It is imported, never + re-implemented, and this package inherits its obligations R1-R4 verbatim. +* `references/pr207-coordinated-crossover.certificate.json` — **PR207**, + `research/coordinated-crossover-pr200` (head `cd14825`). The frontier certificate: the two + side child ledgers the ladder is priced against and its published `kappa`. Vendored + verbatim. +* `references/pr233-source-assisted-v4-layer.certificate.json` and `references/pr233-heads/` — + **PR233** (chafreaky), `research/source-assisted-v4-layer`. Its layer certificate is a *row* + for this ledger: on it the complex word's first whole-bank family is rank 3, which is what the + rank-3 rung of this package is priced on. The branch is **unmerged**, so it is pinned by + digest -- head `109a857a329d18ed5552d5573f17ddfa886ae57f` — and the branch's earlier heads are + vendored beside it, because the stability measurement is taken against them and a measurement + that had to re-fetch a branch could not be re-run in a clone. This package reads only the + certificate and prices on it; nothing of PR233 is re-implemented, and no part of its claim is + restated as new. + +## Mechanisms this package uses but does not own + +* **Rung 2 and the ceiling argument** — PR224, `research/complex-bank-run2`: the rank-11 + complex absorption, the fact that rung 1 sits on the complex branch ceiling, and the + identification of the complex supplier as the only way up. This package rebuilds rung 2 + from the pinned profile and reproduces its published grid point exactly; it does not restate + it as new. +* **The bank-absorption ladder and the `10^-10` replica convention** — PR208, + `research/composed-diagonal-bit-bootstrap`: the ladder whose rungs 3 and 4 this package + prices, and the pricing model under which rung 2 reproduces PR208's own published value + `3541457/5*10^9`. +* **The bank proof and the engine chain** — PR200 (Chafik Boukhalfa; bit word and physical + checkers), PR205/PR206 (the completed entrance banks and the packed bit certificate, the + only bank construction in the pins), PR197 (Evan McKinney; the completed-bank machinery), + PR184/PR168-v4 (icekylinx, eumemic; the source-assisted complex word and the physical + paired-cube framework), PR183 (romainhedouin; the closed-form assembly ceiling) and PR193 + (ikeboy; the complex supplier whose profile this ladder is built on). All upstream + attributions, notices and licences stand as published. +* **PR219's own upstream credits** are retained inside the vendored directory, unchanged. + +## What is new here + +The rank-16 and rank-20 absorptions and their exact prices; the exhaustion of the complex +ledger's whole-bank criterion (`66 | r * n_r` holds for exactly three families); the mixed +tiling obligation T1 that the two new families owe and rank 11 did not; the rank-16 and +rank-20 inventory obligations C6 and C7; and the next-step arithmetic showing that +`kappa = 7.2e-4` needs +1.242% more complex saving while anything above `7.277251e-4` needs a +new bit word. + +On PR233's row, and read against the same ledger: that the rank-3 family is a **whole-bank** +family there, that `66 = 22 * 3` makes its bank exactly filled so the T1 obligation does not +arise, that the point lands at `1819302815717/25*10^14 = 7.277211262868e-4` bit-bound -- above +the ladder top and above the frontier -- the **stability** measurement that re-prices the rung on +all six ranked heads of #233 and all nine width-66 rows of this repository, and the negative +result for the rung above it (rank 4 moves neither the criterion nor the price). + +No new kappa is claimed as a record: every number here is a **priced target**, conditional on +C1-C7, T1 and the inherited R1-R4, priced on a *row whose PR is unmerged*, and the package says +so in its own `status` field. + +Prepared by Maxime Fleury with Codebuff assistance. diff --git a/research/complex-bank-run3/PROOF.md b/research/complex-bank-run3/PROOF.md new file mode 100644 index 0000000000..f64282b420 --- /dev/null +++ b/research/complex-bank-run3/PROOF.md @@ -0,0 +1,332 @@ +# The argument for rungs 3 and 4, and for the top of the complex ladder + +Everything below is exact rational arithmetic on the pinned complex profile +(`references/pr193-source-assisted-v4.certificate.json`, the word #207's frontier certificate +prices) through the pinned interval-moment engine and the unchanged 47-constraint assembly. +The machine-checked form is `certificate.json`; `verify.py` rebuilds it from pinned bytes. + +## 1. The criterion + +A family of rank `r` with `n` children per vertex occupies `r * n` registers per copy. It can +leave the ledger into whole banks of width `m` only when + + m | r * n (whole-bank volume) + +and the absorption is free rather than a relabelling when the retained ledger still satisfies +the row identity `m * W - rank_mass = deficit` and the stock falls by exactly the bank count. +Those are the conditions PR219's rank-22 bit absorption and PR224's rank-11 complex +absorption satisfy, and the conditions the certified entrance-bank proof satisfies on the bit +word (2,200 rank-60 exteriors: `60 * 6,600 = 396,000 = 72 * 5,500`). + +The criterion is necessary, and it is what the built rungs use. It is not sufficient: a bank +must be tiled by blocks, which for a rank that does not divide the width means a mixture +(obligation T1). Both facts are stated, not blurred: rungs 3 and 4 are priced on the volume +condition and they owe the tiling. + +## 2. Which families qualify, and that is all of them + +On the complex ledger (`m = 66`, one copy `W = 12,052`, deficit `1,320`, 20 families, +213,147 children, rank mass 794,112, largest child 20) the whole-bank volume condition +`66 | r * n_r` selects exactly three families: + +| rank | n_r | r * n_r | = 66 x | +| ---: | ---: | ---: | ---: | +| 11 | 1,062 | 11,682 | 177 | +| **16** | 264 | 4,224 | 64 | +| **20** | 66 | 1,320 | 20 | + +`verify.py` asserts this list, so the claim "exactly three" is machine-checked rather than +eyeballed. After rungs 2-4 all three are out of the ledger, and the eligibility scan on the +retained row is empty -- the criterion cannot be applied again at this width, on this ledger. + +### 2b. The criterion is not sufficient: T1, enumerated + +A bank is a partition of 66 coordinates into blocks. Absorbing a family *uniformly* -- the +same block pattern in every bank, as the certified bit-side construction uses (eighteen +4-coordinate cores, or three 24-coordinate cores, per width-72 bank) -- means `k_f` blocks of +family `f` per bank and `n_f = k_f * B` items for one **common** `B`. Hence `B` divides +every `n_f` in the absorbed set and the pattern must fit: `sum_f k_f * f <= 66`. So the scan +(`schedule66.py`) is over the **common divisors** of the item counts, not over partitions of +66; it is exhaustive and therefore a decision, not a search. + +| family | `n_f` (three copies) | capacity `66 // f` | banks by volume criterion | banks its capacity needs | uniform patterns | +| ---: | ---: | ---: | ---: | ---: | --- | +| 11 | 3,186 | 6 | 531 | 531 | 4, `B` in {3186, 1593, 1062, **531**} | +| 16 | 792 | 4 | 192 | **198** | 4, `B` in {**198**, 264, 396, 792} | +| 20 | 198 | 3 | 60 | **66** | 3, `B` in {**66**, 99, 198} | + +Three consequences, all asserted in `verify.py` and recorded in `certificate.json` -> +`tiling`: + +1. **Rank 11 is exactly consistent**, and rung 2's 531 is the tightest of its four patterns + (six blocks per bank, no padding). `66 = 6 * 11` is what makes the volume criterion and + the capacity criterion agree. +2. **Ranks 16 and 20 are not.** `66 = 4 * 16 + 2` and `66 = 3 * 20 + 6`: a bank holds four + or three whole blocks, so 792 items need 198 banks and 198 items need 66 -- six three-copy + banks (two per copy) more than the volume criterion prices, the padding being 2 and 6 + registers per bank (396 three-copy registers in both cases). At the priced counts the + required items per bank are `33/8 = 4.125` and `33/10 = 3.3`, above the capacities 4 + and 3; a bank cannot hold a fraction of a block. +3. **No mixture is admissible.** For a set of families absorbed together, `B` divides the + `gcd` of their counts: {11,16} -> 18 (531 and 132 blocks per bank), {16,20} -> 198 (four + and one, 84 registers into a 66-wide bank), {11,20} -> 18 (177 and 11), {11,16,20} -> 18 + (177, 44, 11). Every one overflows the bank, so no uniform tiling of width 66 absorbs two + whole bins at once -- which is also why the padding cannot be paid from a *retained* + family, since that would remove part of a bin, while the priced ledger removes bins whole. + +T1's enumeration therefore has a determined answer, and for *uniform* tilings it is negative: +rungs 3 and 4 cannot be priced on the bank counts the volume criterion gives. What the +criterion leaves is the padding -- and the padding is constructible, in exactly the way this +section's third bullet forbids for a *retained* bin but allows for the banks themselves: the +2 or 6 registers are filled by blocks of a retained family, drawn as a partial removal from +that bin. The retained histogram then carries the reduced count, the mass that leaves is +`banks * 66` by construction, and the row identity and the stock-drop-equals-bank-count rule +both survive. Section 3b builds that schedule and prices it; it is what the certificate's top +rung now is, and it prices *above* the unpadded rows because it removes more. + +## 3. The ledgers, step by step (three-copy rows) + +| after | W | rank mass | children | largest child | rule applied | +| --- | ---: | ---: | ---: | ---: | --- | +| base | 36,156 | 2,382,336 | 639,441 | 20 | row identity `66 * 12,052 - 794,112 = 1,320` | +| rung 2 (+11) | 35,625 | 2,347,290 | 636,255 | 20 | removed 35,046 = 66 x 531; stock drop 531 | +| rung 3 (+16), volume criterion | 35,433 | 2,334,618 | 635,463 | 19 | removed 12,672 = 66 x 192; stock drop 192 (not a width-66 tiling, 2b) | +| rung 4 (+20), volume criterion | 35,373 | 2,330,658 | 635,265 | 19 | removed 3,960 = 66 x 60; stock drop 60 (not a width-66 tiling, 2b) | + +Every row re-satisfies `66 * W - rank_mass = 3,960` (= three copies of the deficit `1,320`, +unchanged by banking). The deficit is untouched, which is the point: banking moves dirt from +paid children into bank structure, it does not create or destroy rank mass. + +### 3b. The padded schedule (`prototype66.py`) + +The rows above are the volume criterion's; the schedule a width-66 bank admits is the padded +one, and this is where it is built. A bank carries the family's whole blocks plus a fixed +pattern of retained ones, with item `i` of the family going to bank `i // k_f`, block +`i % k_f`: + +| rung | banks | per bank | padding per bank | draw (best option) | +| ---: | ---: | --- | ---: | --- | +| 11 | 531 | 6 x rank 11 | 0 | none | +| 16 | 198 | 4 x rank 16 | 2 | 2 rank-1 blocks, i.e. 396 rank-1 children of 262,602 (0.15%) | +| 20 | 66 | 3 x rank 20 | 6 | 6 rank-1 blocks, i.e. 396 rank-1 children | + +Every bank is exactly full (`4 * 16 + 2 = 3 * 20 + 6 = 66`), every item of the family lands in +some block with no slot unused (`4 * 198 = 792`, `3 * 66 = 198`, `6 * 531 = 3,186`), and the +padding is a partial removal from a bin the ledger keeps, so the retained histogram carries the +reduced count. The ledger follows mechanically, because the mass that leaves is `banks * 66`: + +| after | W | rank mass | children | rule applied | +| --- | ---: | ---: | ---: | --- | +| rung 2 (unpadded, as PR224) | 35,625 | 2,347,290 | 636,255 | removed 35,046 = 66 x 531 | +| **rung 3 (padded)** | **35,427** | **2,334,222** | **635,067** | removed 198 x 66 = 12,672 + 396; stock drop **198** | +| **rung 4 (padded)** | **35,361** | **2,329,866** | **634,473** | removed 66 x 66 = 3,960 + 396; stock drop **66** | + +Each padded step re-satisfies the row identity, the stock falls by exactly the bank count, and +the eligibility scan is still empty afterwards, so the padded top is still the top of the +criterion. The padding pattern is a free parameter and every option is enumerated and compared +on the coarse saving it induces (rank 16: two options, `177822495639541/25*10^16` or +`88906856814031/125*10^15`; rank 20: eleven, from `356053348255849/5*10^17` down to +`712015725758741/10^18`); the best is the one claimed, and rank-1 padding wins in both rungs. +What this does *not* do is construct anything physically: the padding blocks are ordinary +retained children, and the normalizer, frames, charts and prime witnesses remain C1-C7. + +### 3c. The instanced schedule, and the width question + +`instantiate66.py` instances the schedule: item `i` of a family goes to bank `i // k_f`, block +`i % k_f`, offset `(i % k_f) * rank`, which addresses 3,186 + 792 + 198 = **4,176 items** over +531 + 198 + 66 = **795 banks** with 792 registers of padding, each family's table digested +(`fb9bd2d1...`, `f96efd45...`, `f9d9567b...`) and the ledger re-derived with the stock falling +by exactly the bank count. That is C1's combinatorial half plus the C5-C7 inventories; the +physical half (the normalizer) and C2-C4 are still owed, because the supplier's own status line +says its operation program is not exported. + +`widths66.py` then settles whether the bank width is a dial. It is not: the pinned precedent +makes it the word's modulus (`M = 72` for the bit word, 66 here). The engine's contraction is +`rank mass < W * modulus`, the pinned row has `rank mass / W = 65.8905...`, so every `w <= 65` +leaves the row unposeable -- 66 is the smallest modulus this ledger admits -- and every wider +modulus leaves a row whose density has moved (99.834% at 66, 95.5% at 69, 91.5% at 72), i.e. a +different word, which the scan records rather than prices. At `w = 54` nine families would tile +whole banks and 1,549,098 registers (65% of the rank mass) could leave, against 52,470 (2.2%) +here: the criterion is not the cap, the density is, so the dial to turn is the supplier. + +## 4. The prices + +For each rung the complex paid moment is recomputed by the pinned engine on the retained row +(`bit=False`, i.e. without the bit branch's rare-class fallback, exactly as PR219 prices the +complex side), on the `10^-18` grid with the adjacent grid point rejected in both directions: + +| rung | complex coarse saving | grid gap above | +| --- | ---: | ---: | +| base | 7.00918443859411e-4 | — | +| rung 2 | 7.08793603125109e-4 | (PR224, reproduced to the digit) | +| rung 3, volume criterion | 7.11077971348264e-4 | adjacent point rejected; not a width-66 tiling (2b) | +| rung 4, volume criterion | 7.11681826686289e-4 | adjacent point rejected; not a width-66 tiling (2b) | +| **rung 3, padded schedule** | **7.11289982558164e-4** | adjacent point rejected; 198 banks of (4 rank-16 + 2 registers) | +| **rung 4, padded schedule (the top)** | **7.12106696511698e-4** | adjacent point rejected; 66 banks of (3 rank-20 + 6 registers) | + +The assembly rule is the queue's own: `a = min(bit_leaf, (1-beta) * C - weak)`, +`q = a(1-2 eta)`, `kappa = floor((1-eta) q/(1+q) * 10^18)/10^18`, with +`eta = beta = 10^-24`, `weak = 10^-30`. It prints the same numbers #207, #219 and #224 print +on their own inputs (asserted equal, not within a tolerance), so the convention is calibrated +rather than chosen here. + +| rung | kappa | binding | assembly bound | ceiling gap | +| --- | ---: | --- | ---: | ---: | +| rung 2 | 7.08291570590726e-4 | complex | 7.082915705907269e-4 | 8.6e-19 | +| rung 3, volume criterion | 7.10572698755137e-4 | complex | 7.105726987551371e-4 | < 1e-18 | +| rung 4, volume criterion | 7.11175695867958e-4 | complex | 7.111756958679581e-4 | < 1e-18 | +| **rung 3, padded schedule** | **7.10784408728476e-4** | complex | 7.107844087284761e-4 | < 1e-18 | +| **rung 4, padded schedule (the top)** | **7.11599961413937e-4** | complex | 7.115999614139371e-4 | < 1e-18 | + +Each rung lands on its own branch ceiling: the complex budget `(1-beta) C - weak` is what the +minimum selects (asserted), the adjacent `10^-18` point is rejected by the unchanged +47-constraint assembly (asserted), and the bit leaf is not the binding branch (recorded). + +## 5. Where the ladder stops, and what the next step costs + +Rung 4 is the top of the accounting ladder: no family of the remaining 17 has a whole-bank +volume (asserted). Two consequences follow, and they are the useful part of the result: + +* **Above the top, the bank mechanism has nothing left to take.** Reaching `kappa = 7.2e-4` + needs a complex coarse saving of `7.20518773516934e-4`, i.e. +1.181% over the top rung's + coarse saving -- more banking than this ledger's remaining mass can supply at this width. +* **Above `kappa = 7.277211e-4` the bit word is the wall.** While the complex branch caps the + budget, the ceiling is `budget/(1+budget)`, and the budget is in turn capped by #219's + rung-1 bit leaf (7.2825e-4). Targets `7.5e-4`, `8e-4` and `1e-3` are therefore unreachable + on this bit word, whatever the complex ledger does; they need a new bit supplier first. + +### 5b. The wall quantified (`suppliers.py` and `bit_requirement`) + +Two measurements bound the next step rather than describing it. First, the density question the +width scan raises is answered over the tree: every ledger-bearing certificate in the repository +is scored on modulus, density `mass/(m*W)`, the smallest modulus the row admits and the mass +share tiling there, keeping only rows that satisfy `m*W - mass = D` with every child inside the +width. 20 distinct poseable ledgers are found and **none is less dense than the complex word** +(`3008/3013 = 0.9983405`), which is itself the least dense one in the repository -- so a narrower +modulus must be built, not found. Second, holding the pinned shape and occupancy fixed and +varying only the modulus, the cheapest stock that poses the row is priced: at the pinned width +the required row is *exactly* the pinned ledger (stock 12,052) and it reproduces the top kappa, +which calibrates the curve; at widths 48 and 60 the complex branch stops binding and the kappa +rises to the budget the bit leaf allows, `7.277211...e-4` (+2.2655% over the top); at 72 nothing +tiles and every wider word is strictly worse (-0.74% at 84, -13.2% at 96). The curve is +synthetic, so it specifies a word instead of reporting one. + +With the ceiling of the complex side established by measurement, the targets invert onto both +branches. Since `kappa` is read off `budget = min(bit leaf, (1-beta) C - weak)`, a target needs +*both* branches above its budget, and because the cap must clear the budget after the `beta` and +`weak` haircuts the complex saving must sit one `10^-18` step above it: + +| target | required budget | required bit leaf | required complex coarse saving | +| ---: | ---: | ---: | ---: | +| 7.2e-4 | 7.20518773516933e-4 | 7.2825e-4 (already enough) | 7.20518773516934e-4 (+1.181%) | +| 7.5e-4 | 7.50562922191644e-4 | 7.50562922191644e-4 (+3.064%) | 7.50562922191645e-4 (+5.400%) | +| 8e-4 | 8.00640512409928e-4 | 8.00640512409928e-4 (+9.940%) | 8.00640512409929e-4 (+12.433%) | +| 1e-3 | 1.001001001001002e-3 | 1.001001001001002e-3 (+37.453%) | 1.001001001001003e-3 (+40.569%) | + +Each line is checked twice -- the pair reaches its target, and one grid step below the budget it +misses -- so the requirement is sufficient and tight on the grid. Only 7.2e-4 is short on the +complex branch alone; the three higher targets are short on both, and the complex ceiling that +the density curve finds above is still below all of them. + +## 6. Verification boundary + +* Machine-checked here: the pinned bytes (60 files, sha256), the frontier reproduction, rung 1 + rebuilt by the vendored #219 package, rung 2 rebuilt by this package's own ledger module, + rungs 3 and 4 (volumes, row identities, stock drops, both paid moments, adjacency + rejections), the branch ceilings, the eligibility exhaustion, the PR208 replica, the T1 + enumeration of the width-66 tilings (both the pinned scan and its findings) and the padded + schedule of 3b (795 banks, every bank exactly filled, stock drops 531/198/66, the residual + eligibility empty, the padded top above the volume-criterion rows it replaces), the instanced + inventories of 3c (4,176 items, 795 banks, 792 registers of padding, the digests, the ledger + cross-check), the modulus scan of 3c (which widths are poseable, and that only the pinned + one is priced) and the rank-3 rung's export contract on the newly pinned row (the assignment + re-instantiated from its addressing rule with zero padding, the retained ledger and its + histogram digest, the bit leaf re-derived through #219's vendored arithmetic, the point + re-priced through the assembly rule and the 47-constraint assembly, and the 0-of-6 body + reading machine-read from the row's own key set), and the rank-3 rung's **stability** against + the six ranked heads of #233 (all vendored, so the measurement re-runs in a clone) and against + the nine distinct width-66 rows this repository's certificates carry: the modular criterion it + rests on -- eligibility is `66 | r * n`, a condition on the family's own count -- is checked + against the ledger's divisibility test on every row, and the finding is asserted: the rung + exists on the last two heads and misses on the first four by nine registers (one child per + copy), its price is identical wherever it exists, the *next* rung's eligibility is not, and no + other width-66 row in the repository carries it. +* **Not** checked here: any physical realization. C1's physical half, C2-C4 and #219's R1-R4 + are open (C5-C7 have their inventories instanced, each child's frame/chain identity still + owed); the rank-3 rung's row is pinned to an **unmerged** branch and the point it carries is + derived rather than published, which its own contract records (`our_side.allowed_to_move`), + and the stability is a statement about the heads that exist -- a new head of #233 is a new + measurement, never a silent pass; the complex supplier has no bank construction in the pins (machine-checked), and + neither new family has an occurrence inventory. T1 is settled here at the *schedule* level + (~2b and ~3b): no uniform width-66 tiling hosts the rungs, the padded schedule does, and the + padded top is what this package claims. The kappa is conditional on C1-C7 and R1-R4, exactly + as #219's rung 1 and #224's rung 2 are. +* Also machine-checked: the supplier scan and the density curve, including their two + calibrations (the least dense poseable ledger in the repository is the word priced here, and +the curve's width-66 row is exactly the pinned stock reproducing the top kappa), and the + per-target requirement table, each line re-derived from the assembly rule and tested one grid + step below its budget. The curve itself is a *specification*: the engine prices a row no + supplier in the pins owns, and the scan reports other packages' certificates at their own + conventions rather than re-deriving them. +* Also machine-checked: the *unconditionality* record. The four pinned readings it quotes -- + the supplier's `PASS conditional finite witness` status, its `not exported` operation-program + line, its `downstream integration task` receipt, and the vendored package's `not an + unconditional multiplication theorem in any case` -- are matched back against the pinned files + by `verify.py` (`check_unconditionality`), together with the per-item table for all eleven + obligations. The verdict is therefore evidence rather than commentary: discharging C1-C7 and + R1-R4 buys a conditional finite witness -- the house-standard status -- and the label + 'unconditional' is closed by the pins. +* Also machine-checked: the normalizer export contract (`EXPORT-CONTRACT.md`, + `export-contract.json`). Six required exports, seven acceptance tests and the mapping of all + eleven obligations are checked, and every citation the contract makes -- the digests + `3b4e671d…`, `1d81a79b…`, `51da02c6…`, the three cache digests, the column and read counts, the + status strings, and the banked word's and inventory's precedent values -- is resolved back + against the pinned bytes, with the declared state (0 of 6 bodies exported) asserted rather + than described. The contract's one design reading is also pinned: it addresses the + `lift`/witness pair, not the flow block, whose own status says *"Not an exact supplier + certificate"*. +* Also machine-checked: the contract's executable form, `importer66.py`. Its self-test is run + as part of the verification and must pass all thirteen of its cases -- every declared check + broken in turn (a tampered body, a broken equality bound, a bound above `at_most`, a false flag, + a broken bijection, a denominator above the published bound, counts that do not come out of the + exported tables, a foreign table, a repeated prime witness), an absent body, a checker the + contract does not pin, the pinned checker passing, and the gate green without any checker -- and + the complex side's real drop, which does not exist yet, must still be refused with the refusal + code. Running the gate on the bit side's real drop found and fixed three defects in the harness, + which is what shipping the bodies was for: an absent *named* body was being recorded as a + *failed check* rather than as a missing datum, so a partial run reported refusals for bodies it + had never read; the anchored-digest loop and the manifest loop raised `FileNotFoundError` + instead of reporting an absent body; and, once those are separated, a body that is *present but + unparseable* is still a hard failure rather than a missing datum. The harness never claims the + physics: the replay needs the checker whose digest E3 pins, and until + it is supplied the import stops at *gate green, replay not run*. Because the self-test is + derived from the contract rather than written beside it, this proof is not specific to one + contract: both are handed to the same thirteen cases. +* Also machine-checked: the bit-side **twin** of that contract (`EXPORT-CONTRACT-BIT.md`, + `export-contract-bit.json`), which asks what the *bit* supplier must publish for the rank-22 + realization obligations R1-R4. Its six exports, seven acceptance tests and the mapping of all + four obligations are checked; the four obligation statements are quoted from the pinned + `obligations.json` and resolved, so the twin cannot answer an obligation the package did not + state; every other citation is resolved against the pinned bit bytes; the 0-of-6 reading is + asserted; and the checker it pins is asserted to be the one the pinned rank-22 inventory + carries and **different** from this side's (`4d7c86cd…` against `9d841bcf…`), so neither + contract can be discharged with the other side's checker. The same harness runs on it: the + twin's thirteen cases pass, the default import still refuses its drop (`exports-bit`, exit 2), + and the partial run is where the twin stops being synthetic. That drop ships **10 of the 15 + required bodies, 8 of them anchored**; the five word bodies and the witness body are the + supplier's own bytes, each hashing to the digest its certificate published, and the chart and + incidence streams are re-derived by running PR205's packer unmodified on those bodies -- + `22662b85…` and `76bff256…`, with `exports-bit/physical.rebuilt.json` differing from PR205's + published `physical` block in **0 of its 26 fields**. The two index bodies are derived by + `bitindex.py` rather than typed in and are deliberately not anchored. On that drop the gate + **decides `A2` and `A3`** (9 and 17 checks) and reports the other five tests instead of guessing: + `A1` passes its eight digest anchors and nine index checks with no failure and stays not + runnable while `integrity.json` is absent, `A6` and `A7` pass seventeen checks each and stay not + runnable while `B5`'s `controls.json` is absent, `A4` and `A5` have no checks. The report is + checked in as `bit-drop-report.json`, the exit code is 4 and the replay is NOT RUN, so R1-R4 + stay OPEN. Like this side's contract, it is a *conditional* increment at best: it can make + R1-R4 a completed finite witness and never a theorem. +* Not run: upstream CI, and any contributor verifier other than the vendored #219 package + invoked in place. +* The `10^-10` supplier field is priced as a conservative variant; on it the ladder's top sits + lower, because PR193's published `complex_saving` is its coarser-grid value. diff --git a/research/complex-bank-run3/README.md b/research/complex-bank-run3/README.md new file mode 100644 index 0000000000..62ea9996fe --- /dev/null +++ b/research/complex-bank-run3/README.md @@ -0,0 +1,629 @@ +# The bank ladder and its new row: rungs 3 and 4 on the published profiles, and the rank-3 rung on PR233's row at κ = 7.277211262868e-4 + +**A scheduled target, not a witness, and the same blocker as rung 2.** This package prices the +rest of the bank ladder above PR224's rung 2 -- two more whole-bank families of the complex +ledger -- records where the accounting criterion the built rungs use stops, and then builds the +bank schedule those rungs need: a width-66 bank tiled by the family's blocks plus a fixed +pattern of retained ones (`prototype66.py`). The padded schedule is admissible where the +unpadded bank count was not, and it prices **higher**, so the top of the ladder is the padded +rung 4 at `711599961413937/10^18` = 7.11599961413937e-4 -- until PR233's source-assisted v4 layer +is read as a *row*, where the same ledger's first whole-bank family is rank 3, needs no padding +at all, and prices **7.277211262868e-4** (the section below, and the top of this package). + +## Result + +| Rung | what leaves the ledger | kappa | Binding | Status | +|---|---|---|---|---| +| frontier, #207 | — | `1366380910073/2*10^15` = 0.0006831904550365 | bit | reproduced here **exactly** | +| rung 1, #219 | bit rank-22 bin, 6,116 width-72 banks | `700427501305159/10^18` = 0.000700427501305159 | complex | reproduced here **exactly**, by importing the vendored #219 package | +| rung 2, #224 | complex rank-11 family, 531 banks | `354145785295363/5*10^17` = 0.000708291570590726 | complex | rebuilt here **exactly** by this package's own ledger module | +| rung 3, **volume criterion** | + complex rank-16 family, 192 banks | `710572698755137/10^18` = 0.000710572698755137 | complex | accounting only: no width-66 tiling hosts 192 banks (T1) | +| rung 3, **padded schedule** | + rank-16 family, 198 banks x (4 blocks + 2 registers) | `177696102182119/25*10^16` = **0.000710784408728476** | complex | **+0.3520%** over rung 2 | +| rung 4, **volume criterion** | + complex rank-20 family, 60 banks | `355587847933979/5*10^17` = 0.000711175695867958 | complex | accounting only: no width-66 tiling hosts 60 banks (T1) | +| **rung 4, padded schedule (the top)** | + rank-20 family, 66 banks x (3 blocks + 6 registers) | `711599961413937/10^18` = **0.000711599961413937** | complex | **+0.4671%** over rung 2, **+1.5951%** over rung 1, **+4.1584%** over the frontier | + +The 192- and 60-bank rows are what the whole-bank volume criterion gives, and they are kept +because they are the accounting the criterion produces -- but a width-66 bank cannot host +them: the rank-16 and rank-20 absorptions need 198 and 66 banks by their own capacity, and no +uniform tiling absorbs either family together with another (T1, below). The padded rows are +the schedule a bank actually admits: every bank exactly filled, every item in a block, the +remainder padded from a retained bin, and the retained ledger re-derived. The padded schedule +is the one this package claims. + +The price is the same ledger in two independent conventions: the `10^-18` grid of the queue's +latest rungs (`eta = beta = 10^-24`, `weak = 10^-30`), and PR208's pricing model +(`stop = 10^-9`, `eta = 10^-8`, `10^-10` grid) as an independent replica -- where rung 2 +reproduces PR208's own published ladder value `3541457/5*10^9`, and rungs 3 and 4 price at +`284229/4*10^8` and `1422351/2*10^9`. + +## The new row: the rank-3 rung prices `κ = 7.277211262868e-4` + +PR233's source-assisted v4 layer is a *new row* for this ledger, and on it the complex word's +first whole-bank family is **rank 3**, not rank 16: 29,964 rank-3 children per vertex, three +registers each, so `3 * 89,892 = 269,676 = 66 * 4,086` three-copy banks -- and `66 = 22 * 3`, so +the bank is exactly filled by 22 rank-3 blocks and **this rung needs no padding at all** (the T1 +obligation the padded schedule exists to satisfy does not arise here). + +| the rung on #233's row (head `109a857`, pinned by digest) | value | +| --- | --- | +| banks | 4,086 (1,362 per copy), 22 blocks of 3 registers, **zero padding** | +| retained ledger | stock 36,156 -> 32,070, mass 2,382,336 -> 2,112,660, children 635,067 -> 545,175 | +| retained coarse saving | `417325324839139/5*10^17` = 8.346506496783e-4 (next grid point up excluded) | +| budget | the bit leaf `7.282510899902e-4` -- **bit-bound**, so the supplier no longer binds | +| **κ** | **`1819302815717/25*10^14 = 7.277211262868e-4`**, `binding = bit` | +| against this package's top | `711599961413937/10^18` = 7.11599961413937e-4, **+2.2655%**, `beats_published_top = True` | +| against the pinned frontier (PR207) | `1366380910073/2*10^15` = 6.831904550365e-4, **+6.5180%**, `beats_frontier = True` | +| assembly | the unchanged 47-constraint assembly green at that budget, its own adjacent `10^-18` point rejected | + +The rung's contract, its instanced assignment and its stability measurement are +[EXPORT-CONTRACT-RANK3.md](research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md), +[occurrences-rank3.json](research/complex-bank-run3/occurrences-rank3.json) and +[rank3-stability.json](research/complex-bank-run3/rank3-stability.json); `verify.py` +re-derives the retained ledger, re-instantiates the assignment, re-derives the bit leaf through +#219's vendored arithmetic and re-prices the point through the assembly rule, and asserts both +comparisons above against numbers this package carries. + +**What this is not.** C1-C7 stay `OPEN` (the normalizer, the columns, the charts and witnesses, +the envelope parity and each child's provenance), the row's PR is **unmerged** and pinned by +digest, and the rung's own export contract is **importable** -- the ten bodies of G1-G6 declared +in the importer's dialect, with its own thirteen-case self-test -- while the row publishes none +of them, so this is a **priced, conditional +target on a scheduled row**, never a witness, exactly as the ladder's other rungs are. It is +also **row-dependent**: on the four earlier heads of #233 the rank-3 family is not a whole-bank +family at all (one child per copy short), which the stability section below measures. + +## Why the ladder is on the complex word, and how far it goes + +Rung 1 already sits on the complex branch's ceiling, so every later rung must raise the +**complex** coarse saving; rung 2 does it once, and lands on the new ceiling in turn. The +criterion that makes such an absorption free is that the family's own volume is a whole +number of banks (`66 | rank * children`), and on this ledger exactly three families satisfy +it: rank 11 (already rung 2), **rank 16** and **rank 20**. Rungs 3 and 4 take the other two. +After them **no family of the remaining 17 has a whole-bank volume**, so the criterion is +exhausted and the complex-side accounting ladder terminates. + +| rank | children per vertex | volume (three copies) | banks (three copies) | share of the ledger's rank mass | +| --- | ---: | ---: | ---: | ---: | +| 11 (rung 2) | 1,062 | 35,046 = 66 x 531 | 531 | 1.471% | +| **16 (rung 3)** | 264 | 12,672 = 66 x 192 | 192 | 0.540% | +| **20 (rung 4)** | 66 | 3,960 = 66 x 60 | 60 | 0.169% | + +Each step is checked rather than relabelled: the volume fills whole banks, the retained +ledger satisfies the row identity `66 * W - rank_mass = 3,960`, and the stock falls by +exactly the bank count. The padded schedule occupies **795 width-66 banks** in total +(531 + 198 + 66), and the top row is `W = 35,361`, rank mass `2,329,866`, 634,473 children in +17 families, largest child 19. + +## What the pins do not provide (the blocker, unchanged from rung 2) + +`obligations.json` states C1-C7 and inherits #219's R1-R4; **T1**, which this package carried as +an obligation, is settled just below -- enumerated, then built at the schedule level. The two +facts that decide the status are read from the pins, not asserted: + +* **The complex supplier still has no bank construction.** Its certificate carries no key + containing `bank` at all (`certificate.json` -> `blocked_on`, machine-checked), and neither + does #207's frontier certificate. The only banked word in the pins is the **bit** word's + entrance-gauge pack (#205: 45,842 banks, width 72, rank-60 exteriors), a mechanism specific + to that word's entrance structure. +* **The new families have no inventory.** Nothing enumerates the complex word's rank-16 or + rank-20 children, exactly as nothing enumerates its rank-11 family or #219's rank-22 bin + before its own inventory was written. A rung that cannot name its items cannot be built. + +One further obligation is specific to rungs 3 and 4, and this package no longer merely owes it: +it **enumerates** it (`schedule66.py`, `schedule66.json`, checked by `verify.py`) and the +answer is negative. A bank is a width-66 block partition, and a *uniform* pattern -- the same +pattern in every bank, which is what the certified bit-side construction uses (eighteen +4-coordinate cores, or three 24-coordinate cores, per width-72 bank) -- absorbing a family +forces one common bank count `B` with `k_f = n_f / B`. So `B` divides `gcd(n_f)`, and +`sum_f k_f * f <= 66`. That is finite and exhaustive: + +| family | blocks per bank (capacity) | banks by volume criterion | banks its capacity needs | admissible uniform patterns | +| --- | ---: | ---: | ---: | --- | +| 11 (rung 2) | 6 (`66 = 6 * 11`) | 531 | 531 | 4, `B` in {3186, 1593, 1062, **531**} | +| **16 (rung 3)** | 4 (`66 = 4 * 16 + 2`) | 192 | **198** | 4, `B` in {**198**, 264, 396, 792} | +| **20 (rung 4)** | 3 (`66 = 3 * 20 + 6`) | 60 | **66** | 3, `B` in {**66**, 99, 198} | + +Three findings, each machine-checked: + +* **rank 11 tiles alone**, four ways, and rung 2's 531 (six blocks per bank, no padding) is the + tightest of them -- which is why rung 2 is consistent and rungs 3 and 4 are not; +* **ranks 16 and 20 tile alone only above the bank counts their own volume criterion prices**: + 792 rank-16 items need 198 banks, not the 192 that `12,672 / 66` gives (192 banks hold + 4.125 items each where 4 is the capacity), and 198 rank-20 items need 66, not 60. The + unused registers are the padding: 2 per rank-16 bank, 6 per rank-20 bank, 396 three-copy + registers in both cases; +* **no subset admits a uniform tiling.** The common divisor for {11,16} is 18 (531 and 132 + blocks per bank), for {16,20} it is 198 (four and one, 84 registers into a 66-wide bank), + for all three it is 18 (177, 44 and 11). Every one overflows the bank. + +So T1 has **no uniform solution**, and the unpadded bank counts the volume criterion prices +are not admissible tilings. The volume criterion and the capacity criterion coincide exactly +when the rank divides the width, which is true of rank 22 at width 72, rank 11 at width 66 +and the certified bit-side rank-60 exteriors (`396,000 / 72 = 5,500` banks, cores of 4 and +24), and false of ranks 16 and 20. What the criterion leaves is the padding, and the padding +is constructible: see the prototype below. + +## The prototype: the padded schedule (`prototype66.py`) + +A bank that the family cannot fill alone can still be filled -- by the family plus a fixed +pattern of **retained** blocks. Then every register is accounted for, and the item-to-block +assignment is as explicit as it is for rank 11: item `i` of the family goes to bank +`i // k_f`, block `i % k_f`. + +| rung | banks | blocks per bank | padding per bank | padding registers | padding draw (chosen) | +| --- | ---: | ---: | ---: | ---: | --- | +| 2 (rank 11) | 531 | 6 x rank 11 | 0 | 0 | none: `66 = 6 * 11` | +| 3 (rank 16) | 198 | 4 x rank 16 | 2 | 396 | 2 rank-1 blocks per bank (396 rank-1 children) | +| 4 (rank 20) | 66 | 3 x rank 20 | 6 | 396 | 6 rank-1 blocks per bank (396 rank-1 children) | + +Every bank is exactly full (`4 * 16 + 2 = 66`, `3 * 20 + 6 = 66`), every family item lands in +a block with no slot unused (`4 * 198 = 792`, `3 * 66 = 198`, `6 * 531 = 3,186`), and the +retained ledger is re-derived rather than assumed: the mass that leaves is exactly +`banks * 66`, so the row identity still holds and **the stock falls by exactly the bank count** +(531, 198, 66 on top of rung 2's row). The padding is a *partial* draw from a bin the ledger +keeps -- 396 of the 262,602 rank-1 children, 0.15% -- which is the one step the priced ledger +never took and does not need to: the retained histogram carries the reduced count. + +The padding pattern is a free parameter of the construction, so all of them are enumerated and +compared on the complex coarse saving each induces (the assembly rule of section 4 then maps +the winner to κ, which is the κ in the table above and in `padded_rungs`): + +* rank 16: two options -- 2 rank-1 blocks per bank, coarse `177822495639541/25*10^16`, or 1 + rank-2 block, coarse `88906856814031/125*10^15`; +* rank 20: eleven options, from 6 rank-1 blocks per bank, coarse `356053348255849/5*10^17`, down + to one rank-6 block, coarse `712015725758741/10^18`; the padding rank matters only in the + fifth digit of the saving, and rank-1 padding wins in both rungs. + +The prototype is a **schedule-level** construction and says so: banks, blocks per bank, the +item-to-block map, the padding draw and the ledger it induces are all machine-checked, but the +normalizer that sends each item's residual projector to its block, the frames, charts and prime +witnesses are C1-C7 and remain open. No new frame family is introduced -- the padding blocks +are ordinary retained children. + +## Is the bank width a lever? (`widths66.py`) + +The bank width is not a schedule parameter: the pinned precedent makes it **the word's own +modulus**. In `references/pr219-run1/schedule.py` the bit word has `M = 72`, its rank-22 bin's +20,016 occurrences carry `22 * 20,016 = 440,352` registers into `440,352 / 72 = 6,116` banks, +the row identity is `M * W - mass = D`, and the stock drops by exactly the bank count. The +complex word's modulus is 66, which is why its banks are width 66. So "use another width" is a +question about the word, and the scan answers it in three machine-checked parts: + +* **No narrower modulus exists for this ledger.** The engine's contraction is + `rank mass < W * modulus`, and the pinned row has `rank mass / W = 65.8905...`, so every + `w <= 65` leaves the row unposeable (`mass >= w * W`) -- checked at 48, 54, 58, 60, 63, 64 + and 65 in the certificate. 66 is the *smallest* modulus this ledger admits, by exact + arithmetic rather than by sampling. +* **At the pinned width the scan reproduces this package.** Running the whole criterion at + `w = 66` returns the same schedule and the same κ, which is the scan's calibration + (asserted in `verify.py`). +* **Wider moduli are different words, and the scan shows why instead of quoting a number.** + Holding the pinned ledger fixed while raising `w` leaves a row whose rank mass fills only + `mass / (W * w)` of its capacity: 99.834% at 66, **95.5% at 69, 91.5% at 72, 68.6% at 96**. + That is no longer the dense ledger the moment is calibrated on -- and the vendored + certifier's own bracket stops holding there, which is why the scan prices `66` and records + the rest as arithmetic. + +The useful part is what the scan exposes about the *criterion*: at `w = 54`, nine of the 20 +families would tile whole banks and **1,549,098 registers (65% of the rank mass)** could leave +-- for comparison, the pinned ladder leaves 52,470 (2.2%). The criterion is not what caps +the ladder; the ledger's density is. A **less** dense complex word -- more stock per unit of +rank mass -- would admit a narrower modulus where far more of its ledger tiles at once. That +is the concrete thing to look for in a new supplier, and it is a measurement, not a guess. + +## Which suppliers exist, and the word a narrower modulus would take (`suppliers.py`) + +The width scan ends on a measurement -- what caps the ladder is the ledger's *density*, not the +criterion -- and `suppliers.py` turns that into two measurements over the tree itself. + +* **No less dense supplier exists to be reused.** Every ledger-bearing certificate in the + repository is read and scored on the same four numbers: modulus, density `mass / (m * W)`, the + smallest modulus the row admits (`floor(mass / W) + 1`), and the mass share that tiles whole + banks there -- keeping only rows that satisfy the row identity `m * W - mass = D` with every + child inside the width. **20** distinct poseable ledgers are found (the densest are the two + `certificates/endpoint-gauge*` rows at modulus 38,400, density 0.9999996), and **none is less + dense than the word priced here**: the complex word, at density `3008/3013 = 0.9983405`, is + itself the least dense poseable ledger in the repository. So the narrower modulus the width + scan wants cannot be reached by reusing anything already pinned; it has to be built. +* **What a word of a given width would have to look like.** Holding the pinned *shape* (the same + bins and counts) and its occupancy fixed and varying only the modulus, the cheapest stock that + poses the row is `ceil(mass / (density * m))`, and the module prices it wherever the vendored + certifier's bracket still holds: + +| modulus | stock it needs | density | what tiles there | coarse saving | kappa | +| ---: | ---: | ---: | --- | ---: | ---: | +| 48 | 16,572 | 0.99831 | the same families | 8.2678e-4 | `1819302815717/25*10^16` **+2.2655%** | +| 54 | 14,731 | 0.99829 | padding exceeds the kept rank-1 bin | -- | not priced | +| 60 | 13,258 | 0.99828 | the same families | 7.7898e-4 | `1819302815717/25*10^16` **+2.2655%** | +| **66** | **12,052** | **0.99834** | the pinned ladder | 7.1211e-4 | `711599961413937/10^18` (the calibration) | +| 72 | 11,048 | 0.99831 | nothing | -- | not priceable | +| 84 | 9,470 | 0.99828 | a smaller set | 7.0686e-4 | -0.7364% | +| 96 | 8,286 | 0.99831 | a smaller set | 6.1836e-4 | -13.1559% | + +At the pinned width the row the curve requires is *exactly* the pinned ledger -- the same stock, +12,052 -- and it reproduces this package's top kappa: that is the curve's calibration, asserted +in `verify.py`. At widths 48 and 60 the complex branch stops binding altogether and the kappa +rises to the budget the pinned **bit** leaf allows, `7.277211...e-4` -- **+2.2655%** over the top +rung, and the whole of the complex headroom that is left. The curve is **synthetic** (the pinned +engine pricing a row that no supplier in the pins owns), so it specifies a word rather than +reporting a result about one; the width-72 entry is what the pinned word itself does, and every +wider word is strictly worse. + +## What is instanced, and what is still owed (`instantiate66.py`) + +The padded schedule is now instanced, which is C1's combinatorial half and C5-C7's +inventories: every item of every absorbed family has a bank, a block and an offset, under the +rule *item `i` -> bank `i // k_f`, block `i % k_f`, offset `(i % k_f) * rank`*. + +| family | per vertex | items (3 copies) | banks | blocks per bank | padding registers | table digest | +| ---: | ---: | ---: | ---: | ---: | ---: | --- | +| 11 | 1,062 | 3,186 | 531 | 6 | 0 | `fb9bd2d17f69...` | +| 16 | 264 | 792 | 198 | 4 | 396 | `f96efd45d9d9...` | +| 20 | 66 | 198 | 66 | 3 | 396 | `f9d9567b4b41...` | + +**795 banks, 4,176 items addressed**, 792 registers of padding (0.30% of the kept rank-1 bin), +every bank exactly filled, every block holding exactly one item, the map a bijection onto the +bank/block/offset grid, a digest per family over the whole table, and the ledger re-derived +with the stock falling by exactly the bank count. The artifact is pinned in +[occurrences66.json](research/complex-bank-run3/occurrences66.json). + +What is still owed is stated as facts read from the pins, not as prose: the complex supplier's +certificate carries **no key containing `bank`** and its own status line declares that a literal +globally renumbered operation program **is not exported** -- so the residual projectors the +normalizer must move (C1's physical half) are not in the pins, only the item counts are. C2, +C3 and C4 (formal columns, charts and prime witnesses, moment-envelope parity) follow the same +gap, and C5-C7 still owe each child's frame/chain identity. The *shape* of the inventory the +complex side owes is pinned -- for the bit word, at +`references/pr219-run1/inputs/absorbed-occurrences.json`, whose per-vertex keys +(`H`, `H_center`, `Y`, `src`) are recorded in the certificate. + +## What the top rung implies for the next step + +While the complex branch caps the budget, the assembly's ceiling is `budget/(1+budget)` with +the budget capped in turn by the bit leaf of #219's rung-1 bit word (7.2825e-4). So: + +* reaching `kappa = 7.2e-4` needs a complex coarse saving of `7.20518773516934e-4`, i.e. + **+1.181%** over the top rung's own coarse saving -- more banking than this ledger contains; +* reaching `7.5e-4`, `8e-4` or `1e-3` is **impossible on this bit word**: the leaf caps kappa + at `1819302815717/25*10^16 = 7.277211...e-4` there, so those targets need a new bit word + before any complex-side work can matter. + +### The same three targets, inverted onto both branches (`bit_requirement`) + +`kappa` is read off `budget = min(bit leaf, (1-beta) * C - weak)`, so a target is met only when +**both** branches clear the budget it needs. The certificate inverts the rule per target and +checks each line twice: the pair (budget, required complex coarse saving) reaches the target, and +one `10^-18` step below the budget misses it. Because the cap must *clear* the budget after the +`beta` and `weak` haircuts, a complex saving on the grid must sit one grid step **above** the +budget it has to supply. + +| target | required budget | required bit leaf (gain over the pinned leaf) | required complex coarse (gain over the top rung) | +| ---: | ---: | ---: | ---: | +| 7.2e-4 | 7.20518773516933e-4 | 7.2825e-4 -- already enough | 7.20518773516934e-4 (+1.181%, as above) | +| 7.5e-4 | 7.50562922191644e-4 | 7.50562922191644e-4 (**+3.064%**) | 7.50562922191645e-4 (**+5.400%**, +7.083% over rung 1) | +| 8e-4 | 8.00640512409928e-4 | 8.00640512409928e-4 (**+9.940%**) | 8.00640512409929e-4 (**+12.433%**, +14.227% over rung 1) | +| 1e-3 | 1.001001001001002e-3 | 1.001001001001002e-3 (**+37.453%**) | 1.001001001001003e-3 (**+40.569%**, +42.813% over rung 1) | + +Only `7.2e-4` is short on the complex branch alone; the three higher targets are short on **both** +-- and the complex ceiling the density curve finds above (`7.27721126e-4`) is still below every +one of them. That is the package's answer to "what would a new bit word have to bring": a leaf of +at least the budget column, and a complex supplier that can clear the same budget by the same +margin -- the bit word because the leaf caps the budget, the complex supplier because the bank +mechanism has nothing left to take at width 66. + +## Can the obligations be discharged, and can this be made unconditional? + +The first answer is yes and the second is no, and both are readings of the pinned bytes rather +than positions -- `verify.py -> check_unconditionality` matches the four quotes back against the +files, so the record cannot drift from what the pins say. + +**C1-C7 and R1-R4 are one missing artifact, not eleven gaps.** Every one of them needs the same +thing: the literal operation program, then the columns, charts, witnesses and envelope re-run on +the word it is banked by. The supplier this whole ladder is priced on certifies its flow and its +all-column fresh identity, and states in the same breath that *"a literal globally renumbered +operation program is not exported"*; its construction receipts call the literal +program/replay *"a downstream integration task"*. So the work is reserved upstream, not +invented here, and it is the work of a construction rather than of arithmetic: C1's normalizer +has to move projectors that exist only in that program, C2 has to re-run the columns of a word +that program defines, C3 has to chart frames those columns create, and C5-C7 need each child's +frame/chain identity, which the pins export as a *count* per bin (`1,062`, `264`, `66` per +vertex) and not as an identity. The one item that could be closed from the pins alone -- once +C1's completion children are named -- is the moment-envelope parity (C4), because the envelope +this package prices is already the certified arithmetic. R1 is the exception on the other side: +the bit word's banked precedent *is* pinned (the entrance-gauge pack, 45,842 physical banks with +gauge roles), so that obligation has a shape to extend instead of a mechanism to invent. + +**Unconditional is not a reachable label.** Three independent pinned facts close it: the +supplier's own certificate is published as `PASS conditional finite witness`; the vendored #219 +package states that discharging R1-R4 buys a completed finite witness and that the result is +`not an unconditional multiplication theorem in any case`; and this package's own scope says the +same for the finite bridge and the all-size interfaces it inherits (general Clifford/tensor, +uniform weighted compilation, restored rows, routing, paid layout, prime supply, +precision/recovery, fixed tape). Discharging the eleven obligations would raise this ladder's +kappa from a *scheduled target* to the **house-standard conditional finite witness** -- the same +status the queue's published rungs carry, and the strongest status anything in the repository +claims. That is the whole of what the work buys, and the package now says so with the quotes +attached rather than in general terms. + +**The contract that would turn it into an increment.** [EXPORT-CONTRACT.md](research/complex-bank-run3/EXPORT-CONTRACT.md) +and its machine-readable twin [export-contract.json](research/complex-bank-run3/export-contract.json) +put the missing artifact in the form an interface can carry: six required exports -- the +operation program, the frame bodies behind the three published cache digests, the lift and +witness pair, the chronology tables, the per-child occurrence inventory, and the envelope plus +integrity manifest -- each with the digest it must *reproduce* (so the contract asks for bodies +behind hashes the supplier already publishes, never for new trust), seven acceptance tests with +their bounds and reject controls, and the mapping from every export to the obligations it +unblocks. Two readings shape it: the exports are addressed to the `lift`/witness pair and not to +the flow block, because the supplier's own `flow.status` says "Not an exact supplier +certificate"; and the per-child export is asked in the exact shape of the bit word's +`inputs/absorbed-occurrences.json`, because our side of that bijection already exists +(`occurrences66.json`, 4,176 items over 795 banks). Today it fails closed -- **0 of 6 bodies** -- +and `verify.py` asserts that reading against the pins rather than asserting it in prose. + +**The contract in executable form** is [importer66.py](research/complex-bank-run3/importer66.py). +It consumes the exports, runs the seven acceptance tests with their bounds and refuses cleanly +while a body is absent -- which is the state today: `python3 -B importer66.py` exits **2** after +naming all ten bodies that are missing, and no obligation moves. The module separates the two +things that are easy to confuse. The **gate** is decidable from what the bodies declare: hashes +anchored to the digests the supplier already published, cardinalities, the published bounds +(denominators, colouring, prime threshold), the two bijections (the frame id map, and A5's +families against this package's own `occurrences66.json`) and the counts that must come out of +the exported tables rather than out of the certificate. The **replay** -- formal columns over F2 +and the defining integers, fraction-free charts, the moment envelope -- is the supplier's own +checker: the contract pins its digest (`lift.checker_sha256`), so the harness requires that exact +file and reports the replay `NOT RUN` until it arrives, and exit code 3 says so rather than +certifying anything. `--self-test` builds synthetic bodies, patches the anchored digests to their +synthetic hashes, and then breaks each check in turn: thirteen cases, including a tampered body, a broken equality bound, a +bound above `at_most`, a false flag, a broken bijection, a denominator above the bound, counts +that do not come out of the tables, a foreign table, a repeated prime witness, an absent body, a +checker the contract does not pin, and the pinned checker passing --with the complex side's real drop, still absent, refused at the end. All thirteen pass in `verify.py`, so the refusals the harness will +perform on the real drop are demonstrated now rather than promised. Both contracts get the same +thirteen cases, because the proof is derived from the contract rather than written beside it: +`importer66.py --self-test` builds the synthetic bodies, the anchored digests and the mutation +that must be rejected out of whichever contract it is handed. + +**Its twin for the bit side.** [EXPORT-CONTRACT-BIT.md](research/complex-bank-run3/EXPORT-CONTRACT-BIT.md) +and [export-contract-bit.json](research/complex-bank-run3/export-contract-bit.json) are this same +contract turned on the *other* half of the ledger pair: what the bit supplier must publish for +#219's rank-22 realization obligations R1-R4 to close. The schema, the seven acceptance tests +`A1-A7`, the gate/replay split and the fail-closed reading are this side's, unchanged; only the +content differs. The bit twin is **half-met** where this side is empty: the pins already carry +that word's built physical layer (PR200's formal columns and prime witnesses, PR205's charts, +incidence and colouring), the rank-22 family enumerated occurrence by occurrence in the exact +shape of `inputs/absorbed-occurrences.json`, the whole-bank schedule and the retained ledger. +What is missing is those bodies *re-published and re-run on the banked word*, plus the one +genuinely new artifact R1 asks for -- the per-occurrence assignment (item -> bank, offset) and +its normalizer, whose admissible tilings `schedule.py` already enumerates. The cross-reading that +makes it a closed checklist rather than an open question: the inventory's +`source_pins.word_p12_sha256` **is** PR205's `physical.word_sha256`, so the twin asks for bodies +behind digests of a word this repository already half-holds, and it pins that supplier's own +checker (`source_pins.checker_sha256 = 4d7c86cd...`) rather than this side's +`lift.checker_sha256 = 9d841bcf...` -- `verify.py` asserts the two digests differ, so neither +contract can be discharged with the other side's checker. + +**The same contract on a new row, at one rung.** [EXPORT-CONTRACT-RANK3.md](research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md) +and [export-contract-rank3.json](research/complex-bank-run3/export-contract-rank3.json) are the +complex contract instantiated at the **rank-3 rung** of PR233's source-assisted v4 layer -- the +row on which the first family whose own volume fills whole width-66 banks is rank **3**, not +rank 16. It is the one rung of this ladder that needs no padding at all: `66 = 22 * 3`, so its +89,892 three-copy items fill 4,086 banks exactly, and the acceptance test that checks the +assignment therefore **rejects** a padding register instead of asking for one. The assignment is +already instanced on this side of the interface +([occurrences-rank3.json](research/complex-bank-run3/occurrences-rank3.json), table digest +`71cb207f...`), which is what makes the export a bijection in both directions rather than a count. +C1-C7 are restated at the rung's own numbers and quoted verbatim from +[obligations.json](research/complex-bank-run3/obligations.json); C6 and C7 (the families beyond) +are explicitly outside its scope. The row is pinned by digest -- +[references/pr233-source-assisted-v4-layer.certificate.json](research/complex-bank-run3/references/pr233-source-assisted-v4-layer.certificate.json), +head `109a857`, 3,988 bytes, sha256 `691cb0aa...` -- because its branch is **unmerged**: if it +moves, `check_manifest` fails closed and the contract must be re-taken rather than reused. The +point the retained row carries is therefore derived and **not published**: coarse +`8.346506496783e-4`, budget = the bit leaf `7.282510899902e-4` (**bit-bound**, so after this rung +the supplier is no longer the lever), kappa `1819302815717/25*10^14 = 7.277211262868e-4` +(+2.2655% over the top this package publishes), with the complex ceiling `1.06e-4` above it -- so +the rung is not ceiling-tight the way the published rungs are. + +The same executable form consumes it, unchanged: +`python3 -B importer66.py --contract export-contract-bit.json` runs the twin's gate on its own +drop (`exports-bit`) and still refuses it (exit **2**), while the same command with `--partial` +reports what the bodies present decide (exit **4**, never admissible) and `--self-test` gives the +twin the identical thirteen-case proof. + +**The bit drop: two of the seven acceptance tests now decide on published bytes.** +`exports-bit/` holds **10 of the 15 required bodies, 8 of them anchored**, and the export groups +they complete are `B1` and `B3`; `B2` (`assignment.json`), `B4` (`columns.json`), `B5` +(`controls.json`) and `B6` (`envelope.json`, `integrity.json`) are absent. The five word bodies +(`word.json.gz` `1cb7e8ed…`, `frames.json.gz` `ad8e2705…`, `graph.json` `31a09a55…`, +`kchron.json` `0fab548e…`, `profile.json` `c44ef864…`) and the witness body +(`prime-witnesses.json.gz` `612f0b91…`) are the supplier's own bytes, each hashing to the digest +its certificate already published. The chart and incidence streams do not exist upstream as +files, so they are **re-derived** by running PR205's packer unmodified on those word bodies: +`22662b85…` and `76bff256…`, byte for byte, with `exports-bit/physical.rebuilt.json` differing +from PR205's published `physical` block in **0 of its 26 fields**. What the bodies do not declare +is declared by two **index** bodies, derived by `bitindex.py` from the bodies and the pinned +certificates rather than typed in (`index.json.gz` for `B1`, `charts.index.json.gz` for `B3`); +neither is anchored, because an index is a declaration and the bodies it describes are what carry +the digests. On that drop the gate **decides `A2` (9 checks) and `A3` (17 checks)** -- `A2` on the +index's six counts, its frame-record bijection and its foreign-replay bound, `A3` on the chart and +witness bounds -- and reports the rest instead of guessing: `A1` passes all eight digest anchors +and nine index checks with no failure but stays not runnable while `integrity.json` is absent, +`A6` and `A7` pass seventeen chart/index checks each and stay not runnable while `B5`'s +`controls.json` is absent, and `A4` and `A5` have no checks at all. The run is recorded as +[bit-drop-report.json](research/complex-bank-run3/bit-drop-report.json); the default import still +refuses the five absent bodies, the replay is **NOT RUN** because the pinned checker `4d7c86cd…` +is not supplied, and R1-R4 therefore stay OPEN with nothing discharged. + +## Is the rank-3 rung stable? (`rank3stability.py`) + +The rung is priced on one row, and that row is on an unmerged branch. So the question worth +measuring is not whether the number is right but whether the rung survives the branch moving, +and whether it is a property of the *family* or of that one *row*. `rank3stability.py` measures +both: every commit of #233 that touches its layer certificate (**six**, all vendored under +[references/pr233-heads/](research/complex-bank-run3/references/pr233-heads) so the measurement +re-runs in a clone rather than needing the branch), and every other width-66 ledger row the +repository's certificates carry (nine distinct rows). + +The reason the answer is delicate is arithmetic. A family of rank `r` with `n` children in the +ledger row fills whole width-66 banks exactly when `66 | r * n`, which is a condition on the +count alone -- `n` a multiple of `66 / gcd(r, 66)`: + +| rank | needs | on the pinned row | +| ---: | --- | --- | +| 3 | `22 \| n` | 89,892 = 22 x 4,086 -- the rung | +| 4 | `33 \| n` | 34,551 = 33 x 1,047 | +| 11 | `6 \| n` | 3,177: 33 registers short, *not* eligible on this row | +| 16 | `33 \| n` | 729: 18 registers short, *not* eligible on this row | +| 18 | `11 \| n` | 23,760 = 11 x 2,160 | +| 20 | `33 \| n` | 198 = 33 x 6 | + +So eligibility is a modular accident of each family's child count, and it moves when the +supplier's pairing moves a handful of children between ranks. It did move: + +| head | row | rank 3 eligible | whole-bank eligibility | registers short of it | +| --- | --- | --- | --- | ---: | +| `52c6fba`, `7f909fb`, `cf08677`, `c3f9ba1` | 29,061 per vertex | **no** | `[12, 17, 18, 20]` | 9 | +| `246f6f9` | 29,964 (rank 4: 11,502) | yes | `[3, 18, 20]` | 0 | +| `109a857` (pinned) | 29,964 (rank 4: 11,517) | yes | `[3, 4, 18, 20]` | 0 | + +**The rung exists on two of the six heads and not on the first four** -- and the four miss it by +*one rank-3 child per copy*, i.e. nine registers over the ledger's three copies, not by a +different family. Where it exists its **price is identical** (`1819302815717/25*10^14`, bit-bound) +even though the coarse saving differs, because the bit leaf binds both and the assembly's floor is +a function of the budget. What is *not* stable is the rung after it: the retained eligibility is +`[18, 20]` on `246f6f9` and `[4, 18, 20]` on the pinned head, so rank 4 is bankable only on the +head the contract is priced on. And **no other width-66 row carries the rung at all**: the +pinned ladder row (PR193/PR207/PR205) is eligible at `[11, 16, 20]` and misses rank 3 by 39 +registers; PR200's complex physical rows, coordinated-frames' two rows and the older heads' +audit row are eligible at `[16, 17, 18, 20]`, `[4, 17, 18, 20]`, `[17, 20]` and +`[12, 17, 18, 20]`. The rung is a property of *this row*, not of the family. + +What the measurement does not cover: any head that does not exist yet (a new head is a new +measurement, not a silent pass), and any row outside this repository. The artifact is +[rank3-stability.json](research/complex-bank-run3/rank3-stability.json), and +`verify.py -> check_rank3_stability` re-derives all of it, checks the modular criterion against +the ledger's own divisibility test on every row, and asserts the four findings above. + +## The rung above: rank 4, and why κ does not move (`rank4rung.py`) + +The rank-3 rung's own contract names the next whole-bank family of the retained row (rank 4, +`2,094` banks by the volume criterion) and says it still owes T1's padded tiling. That is the +question [rank4rung.py](research/complex-bank-run3/rank4rung.py) measures, and the answer is a +negative result in three parts -- recorded as data rather than asserted, in +[rank4-rung.json](research/complex-bank-run3/rank4-rung.json): + +* **The volume criterion holds on one head only.** The retained row's rank-4 bin is `n4 = 34,551` + three-copy children on the pinned head, and `66 | 4 * 34551 = 138,204 = 66 * 2,094`. On + `246f6f9` -- the other head that carries the rank-3 rung -- `n4 = 34,506` and `138,024 / 66` is + not an integer, so the rung does not exist there. The four earlier heads carry neither rung. +* **T1's padding cannot be reinstated here.** The padded schedule needs saturation + (`16 | n4`) and `34,551 = 16 * 2,159 + 7`: nine slots, thirty-six registers short, so its + padding is not uniform. And the bank count the rung *prices* cannot host its own items: + `2,094 * 16 = 33,504 < 34,551`. T1's mixed-tiling enumeration, run at every bank count that + divides `n4`, does have solutions -- `B in {3,141, 3,839, 11,517}`, 1,168 patterns -- but every + one of them draws **at least 22 of the bank's 66 registers** from other bins, and every tiled + ledger is a different ledger from the priced one. +* **κ does not move.** All of it is priced by the same rule as the rest of the package, and every + ledger the rung can induce is bit-bound: the budget is the leaf `7.282510899902e-4`, so κ is + `1819302815717/25*10^14 = 7.277211262868e-4` -- the value the rank-3 rung already holds, to the + last `10^-18` step -- while the coarse saving rises by `+8.8925%` (priced ledger, to + `9.088721229013e-4`) and by `+114.805%` (best tiled ledger, to `1.792871277258e-3`). + +So the ladder's complex side stops binding by a wide margin and the assembly rule cannot spend +any of it. The lever is the bit word's leaf, and the module inverts the rule to say how much +leaf each further target needs -- cross-checked against the certificate's own `bit_requirement` +table: κ's next `10^-18` step needs the leaf's next grid point (`728251089990229/10^18`), +`7.5e-4` needs `7.5056292219e-4` (`+3.06%`), `8e-4` needs `8.0064051241e-4` (`+9.94%`) and +`1e-3` needs `1.0010010010e-3` (`+37.45%`). + +`verify.py -> check_rank4_rung` re-derives the criterion, every head, the padded schedule's +shortfall, the whole enumeration and every price, and asserts the three findings above. + +## Verify + +```sh +cd research/complex-bank-run3 +python3 -B verify.py # check: pins, rebuild, compare with certificate.json +python3 -B verify.py --write # authoring: regenerate certificate.json and SOURCE.json +python3 -B rank4rung.py # the rank-4 measurement: writes rank4-rung.json +python3 -B importer66.py # the export import: refuses, codes 0/1/2/3 +python3 -B importer66.py --self-test # the harness's own thirteen cases +python3 -B importer66.py --contract export-contract-bit.json # the bit twin: same codes +python3 -B importer66.py --contract export-contract-bit.json --exports exports-bit --partial + # the real bit drop: reports, code 4 +python3 -B importer66.py --contract export-contract-bit.json --self-test # and its own proof +python3 -B importer66.py --contract export-contract-rank3.json # the rank-3 rung's gate: refuses, code 2 +python3 -B importer66.py --contract export-contract-rank3.json --partial # ... reports, code 4 +python3 -B importer66.py --contract export-contract-rank3.json --self-test # ... and proves itself, thirteen cases +``` + +`verify.py` passes with exit 0, pins 60 files by sha256 -- the 33 this package owns (the five +ranked heads of #233 among them), the 16 the +vendored rung-1 package carries and the 11 in the bit drop, its reproduction evidence included -- +and rebuilds the whole complex-side +ladder (base, rung 2, rungs 3 and 4), both paid moments per rung, the two 47-constraint +assemblies with adjacent-grid rejection, the eligibility scan, the PR208 replica, the padded +schedule (795 banks, padding 0/2/6 registers per bank, stock drops 531/198/66), the instanced +inventories (4,176 items, 795 banks, the digests), the normalizer export contract (all 6 +exports, 7 acceptance tests and 11 obligations mapped, every citation resolved against the pins, +and the 0-of-6 body reading), the bit-side twin contract (its 6 exports, the four obligations +quoted word for word and mapped, the 0-of-6 reading, the checker it pins -- asserted to be +the bit word's own and not this side's -- and the drop it now ships: 10 of the 15 bodies, 8 +anchored, the gate deciding A2 and A3 on them and reporting the other five, exit 4), the rank-3 +rung's contract on the newly pinned row (its 6 exports, 7 acceptance tests and C1-C7 restated and +quoted verbatim, every citation resolved, the assignment re-instantiated from its addressing rule +with zero padding, the retained ledger re-derived, the bit leaf re-derived through #219's vendored +arithmetic and the point re-priced through the assembly rule and the 47-constraint assembly -- +asserted bit-bound and above the published top -- and the 0-of-6 body reading machine-read from +the row's own key set), the rank-3 rung's stability across the six ranked heads of #233 and the +nine width-66 rows of the repository (the criterion checked against the ledger's own test on every +row, and the four findings asserted), the rank-4 rung on the pinned row (the volume criterion on +every head, the padded schedule's nine-slot shortfall, the whole T1 tiling enumeration, every +price, the unmoved κ and the required bit leaves, all re-derived), the rank-3 rung's gate as +code runs it (the contract in the importer's dialect, the ten bodies, the thirteen-case +self-test, the refusal and the partial report), the modulus +scan (which widths the pinned +row admits, and that only the pinned width is priced), the supplier scan and the density curve +with both of their calibrations, the per-target requirement table (each line re-derived from the +assembly rule and tested one `10^-18` step below its budget), and re-runs the T1 tiling +enumeration against the pinned `schedule66.json`; it reproduces #207's, #219's and #224's +published grid points exactly. The vendored rung-1 package also self-verifies in place: + +```sh +cd research/complex-bank-run3/references/pr219-run1 && python3 -B verify.py +``` + +## Scope and limits + +* **This is a scheduled target, not a witness.** The accounting and the padded bank schedule + are certified; C1-C7 and the inherited R1-R4 are open, so the kappa is conditional on them in + exactly the sense #219 states for rung 1 and #224 for rung 2. It is not an unconditional + multiplication theorem, not a practical multiplier, and not a Lean/kernel certificate. +* T1 is settled here (the enumeration above, plus the padded schedule), and C1's combinatorial + half with C5-C7's inventories are instanced on top of it; what all of that settles is a + *schedule*: the bank geometry, the item addresses and the padding draw are checked, the + normalizer, frames, charts and prime witnesses are C1 (physical half), C2, C3 and C4. +* The whole-bank volume condition is necessary and is the criterion the built rungs use; it is + not sufficient -- for the two new families it is not even compatible with a width-66 tiling + at the bank count it prices, which is why the padded schedule exists. +* Nothing here bounds any *other* complex-side lever: the ladder is over this supplier's + child ledger at this bank width. A different word, width or frame layout is not priced. +* The ladder inherits every interface #207/#219/#224 inherit (all-size compiler, weighted and + restored selector, routing/layout, fixed-tape leaf, prime supply, precision/recovery, + analytic transfer). +* The `10^-10` supplier field (PR193's published `complex_saving = 219037/312500000`) is + priced too, in `certificate.json` -> `conservative_variant`, rather than ignored. + +## Credits + +Rung 1, its retained-ledger schedule, the interval-moment engine and the 47-constraint +assembly are **PR219** (`research/residual-bank-run1`, head `237067f`) -- vendored +byte-identically under `references/pr219-run1/` and imported, not re-implemented; the frontier +floor and the complex ledger's own shape are **PR207** (`research/coordinated-crossover-pr200`, +head `cd14825`), whose certificate is vendored verbatim; rung 2 and the ceiling argument it +rests on are **PR224** (`research/complex-bank-run2`); the bank-absorption ladder and the +`10^-10` replica price are **PR208** (`research/composed-diagonal-bit-bootstrap`); the +underlying bank proof and engine chain is PR200/PR205 (Chafik Boukhalfa and the PR197/PR205 +line) and PR184/PR168-v4 (icekylinx/eumemic) as inherited through them. This package adds +rungs 3 and 4, their prices, the exhaustion of the ledger's whole-bank criterion, the T1 +enumeration of the width-66 tilings (with its negative result), the padded bank schedule +(`prototype66.py`) and the next-step arithmetic. Apache-2.0; no existing file is changed. diff --git a/research/complex-bank-run3/SOURCE.json b/research/complex-bank-run3/SOURCE.json new file mode 100644 index 0000000000..914997e0ea --- /dev/null +++ b/research/complex-bank-run3/SOURCE.json @@ -0,0 +1,66 @@ +{ + "files": { + "EXPORT-CONTRACT-BIT.md": "924bb24b0bbb01051bb6f05e2f51fcce910d1d9b614242998df9a04cc9294dcf", + "EXPORT-CONTRACT-RANK3.md": "f47e80d8b33b2fa4ceec47c6b162534cea8d97f1bb3ac849576762ec5f14c493", + "EXPORT-CONTRACT.md": "7a6a3e7ef9ee5050901291a78e317a0043d4de84d3074d7dbc84c3fbf8fec3b1", + "bit-drop-report.json": "711245bedd13849f47fbae73e2823b16562ff0ecac1cd4bd01795c921e9d9c5f", + "bitcontract.py": "be6de8466d21387fd1599e845545631a7d84e132edddcd63b5993ff493febae4", + "bitindex.py": "d98645dd603621450a1dec339baf9e63f0ced18bde85e8715ccd285af29a42a9", + "export-contract-bit.json": "01137c4faaf6dc15905d96a7d8f0e77b699c930ab9649f34be80fc1e2ddb1f8d", + "export-contract-rank3.json": 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b/research/complex-bank-run3/bit-drop-report.json @@ -0,0 +1,171 @@ +{ + "bodies": [ + "index.json.gz", + "word.json.gz", + "frames.json.gz", + "graph.json", + "kchron.json", + "profile.json", + "assignment.json", + "charts.index.json.gz", + "charts.json", + "incidence.json", + "prime-witnesses.json.gz", + "columns.json", + "controls.json", + "envelope.json", + "integrity.json" + ], + "exports_dir": "exports-bit", + "missing": [ + "B2: assignment.json", + "B4: columns.json", + "B5: controls.json", + "B6: envelope.json", + "B6: integrity.json" + ], + "partial": true, + "replay": { + "reason": "a partial drop cannot be replayed or certified", + "status": "NOT RUN" + }, + "tests": { + "A1": { + "checks": [ + "assignment.json is absent", + "columns.json is absent", + "controls.json is absent", + "envelope.json is absent", + "integrity.json is absent", + "A1 word.json.gz hashes 1cb7e8ed45cf542e, contract anchors 1cb7e8ed45cf542e", + "A1 frames.json.gz hashes ad8e2705652b6847, contract anchors ad8e2705652b6847", + "A1 graph.json hashes 31a09a55920e64c8, contract anchors 31a09a55920e64c8", + "A1 kchron.json hashes 0fab548e84cf5ca7, contract anchors 0fab548e84cf5ca7", + "A1 profile.json hashes c44ef8640cbcbcc9, contract anchors c44ef8640cbcbcc9", + "A1 charts.json hashes 22662b8580d62f26, contract anchors 22662b8580d62f26", + "A1 incidence.json hashes 76bff256b747bd18, contract anchors 76bff256b747bd18", + "A1 prime-witnesses.json.gz hashes 612f0b91c7689b0c, contract anchors 612f0b91c7689b0c", + "A1 index.json.gz.formal_columns = 20634, bound 20634", + "A1 index.json.gz.dirty_columns = 17114, bound 17114", + "A1 index.json.gz.changed_operation_frames = 7282, bound 7282", + "A1 index.json.gz.used_frames = 24401, bound 24401", + "A1 index.json.gz.selected_roles = 2200, bound 2200", + "A1 index.json.gz.gauge_frames = 220, bound 220", + "A1 index.json.gz.foreign_producer_replays = 0, bound at most 0", + "A1 index.json.gz.gauge_frame_map is a bijection on 220 ids", + "A1 index.json.gz.input_sha256 is present" + ], + "failed": 0, + "passed": 17, + "reason": "assignment.json is absent", + "status": "NOT_RUNNABLE" + }, + "A2": { + "checks": [ + "A2 index.json.gz.formal_columns = 20634, bound 20634", + "A2 index.json.gz.dirty_columns = 17114, bound 17114", + "A2 index.json.gz.changed_operation_frames = 7282, bound 7282", + "A2 index.json.gz.used_frames = 24401, bound 24401", + "A2 index.json.gz.selected_roles = 2200, bound 2200", + "A2 index.json.gz.gauge_frames = 220, bound 220", + "A2 index.json.gz.foreign_producer_replays = 0, bound at most 0", + "A2 index.json.gz.gauge_frame_map is a bijection on 220 ids", + "A2 index.json.gz.input_sha256 is present" + ], + "failed": 0, + "passed": 9, + "reason": null, + "status": "PASS" + }, + "A3": { + "checks": [ + "A3 charts.index.json.gz.used_frames = 24401, bound 24401", + "A3 charts.index.json.gz.physical_roles = 17114, bound 17114", + "A3 charts.index.json.gz.gauge_roles = 2200, bound 2200", + "A3 charts.index.json.gz.distinct_gauges = 220, bound 220", + "A3 charts.index.json.gz.incidences = 154026, bound 154026", + "A3 charts.index.json.gz.banks = 45842, bound 45842", + "A3 charts.index.json.gz.W = 56402, bound 56402", + "A3 charts.index.json.gz.rank_mass = 4055136, bound 4055136", + "A3 charts.index.json.gz.deficit = 5808, bound 5808", + "A3 charts.index.json.gz.swaps = 733, bound 733", + "A3 charts.index.json.gz.longest_swapped_path = 11, bound 11", + "A3 charts.index.json.gz.max_chart_factors = 171, bound 171", + "A3 charts.index.json.gz.max_denominator = 18, bound at most 18", + "A3 charts.index.json.gz.max_abs_numerator = 5, bound at most 5", + "A3 charts.index.json.gz.conflicting_assignment_rejected = True, must be true", + "A3 charts.index.json.gz.color_stats is present", + "A3 charts.index.json.gz: 24401 witnesses, distinct True, all factors below 1208925819614629174706176" + ], + "failed": 0, + "passed": 17, + "reason": null, + "status": "PASS" + }, + "A4": { + "checks": [], + "failed": 0, + "passed": 0, + "reason": "columns.json is absent", + "status": "NOT_RUNNABLE" + }, + "A5": { + "checks": [], + "failed": 0, + "passed": 0, + "reason": "assignment.json is absent", + "status": "NOT_RUNNABLE" + }, + "A6": { + "checks": [ + "A6 charts.index.json.gz.used_frames = 24401, bound 24401", + "A6 charts.index.json.gz.physical_roles = 17114, bound 17114", + "A6 charts.index.json.gz.gauge_roles = 2200, bound 2200", + "A6 charts.index.json.gz.distinct_gauges = 220, bound 220", + "A6 charts.index.json.gz.incidences = 154026, bound 154026", + "A6 charts.index.json.gz.banks = 45842, bound 45842", + "A6 charts.index.json.gz.W = 56402, bound 56402", + "A6 charts.index.json.gz.rank_mass = 4055136, bound 4055136", + "A6 charts.index.json.gz.deficit = 5808, bound 5808", + "A6 charts.index.json.gz.swaps = 733, bound 733", + "A6 charts.index.json.gz.longest_swapped_path = 11, bound 11", + "A6 charts.index.json.gz.max_chart_factors = 171, bound 171", + "A6 charts.index.json.gz.max_denominator = 18, bound at most 18", + "A6 charts.index.json.gz.max_abs_numerator = 5, bound at most 5", + "A6 charts.index.json.gz.conflicting_assignment_rejected = True, must be true", + "A6 charts.index.json.gz.color_stats is present", + "A6 charts.index.json.gz: 24401 witnesses, distinct True, all factors below 1208925819614629174706176" + ], + "failed": 0, + "passed": 17, + "reason": "controls.json is absent", + "status": "NOT_RUNNABLE" + }, + "A7": { + "checks": [ + "A7 charts.index.json.gz.used_frames = 24401, bound 24401", + "A7 charts.index.json.gz.physical_roles = 17114, bound 17114", + "A7 charts.index.json.gz.gauge_roles = 2200, bound 2200", + "A7 charts.index.json.gz.distinct_gauges = 220, bound 220", + "A7 charts.index.json.gz.incidences = 154026, bound 154026", + "A7 charts.index.json.gz.banks = 45842, bound 45842", + "A7 charts.index.json.gz.W = 56402, bound 56402", + "A7 charts.index.json.gz.rank_mass = 4055136, bound 4055136", + "A7 charts.index.json.gz.deficit = 5808, bound 5808", + "A7 charts.index.json.gz.swaps = 733, bound 733", + "A7 charts.index.json.gz.longest_swapped_path = 11, bound 11", + "A7 charts.index.json.gz.max_chart_factors = 171, bound 171", + "A7 charts.index.json.gz.max_denominator = 18, bound at most 18", + "A7 charts.index.json.gz.max_abs_numerator = 5, bound at most 5", + "A7 charts.index.json.gz.conflicting_assignment_rejected = True, must be true", + "A7 charts.index.json.gz.color_stats is present", + "A7 charts.index.json.gz: 24401 witnesses, distinct True, all factors below 1208925819614629174706176" + ], + "failed": 0, + "passed": 17, + "reason": "controls.json is absent", + "status": "NOT_RUNNABLE" + } + }, + "verdict": "PARTIAL: 5 of 15 required bodies are absent, so the gate was run on the 10 present for reporting only; nothing is discharged" +} diff --git a/research/complex-bank-run3/bitcontract.py b/research/complex-bank-run3/bitcontract.py new file mode 100644 index 0000000000..4342240272 --- /dev/null +++ b/research/complex-bank-run3/bitcontract.py @@ -0,0 +1,684 @@ +#!/usr/bin/env python3 +"""Authoring script: writes export-contract-bit.json, the bit-side twin contract. + +Every citation is pulled out of the pinned bytes here, so the contract cannot quote a digest, a +count or a status that is not there. verify.py -> check_bit_export_contract then re-resolves all of +them from the written file, and asserts against the drop in `exports-bit/`. +""" +import json +import sys +from pathlib import Path + +sys.set_int_max_str_digits(0) +ROOT = Path(__file__).resolve().parent + +ACC = 'references/pr219-run1/certificate.json' +OCC = 'references/pr219-run1/inputs/absorbed-occurrences.json' +OBL = 'references/pr219-run1/obligations.json' +BIT = 'references/pr219-run1/references/pr200-bit.certificate.json' +PACK = 'references/pr219-run1/references/pr205-packed.certificate.json' + +DOC = {name: json.loads((ROOT / name).read_text()) for name in (ACC, OCC, OBL, BIT, PACK)} + + +def g(source, *keys): + node = DOC[source] + for key in keys: + node = node[key] + return node + + +def citation(source, keys, reading): + return {'source': source, 'keys': list(keys), 'value': g(source, *keys), 'reading': reading} + + +contract = {} +contract['contract'] = ('bit-side twin of the normalizer export contract: what the bit supplier\'s ' + 'program must publish for the rank-22 realization obligations R1-R4 to close') +contract['version'] = 2 +contract['source'] = ('research/complex-bank-run3/EXPORT-CONTRACT-BIT.md (the prose twin this file ' + 'makes checkable)') +contract['scope'] = ( + 'The four physical realization obligations of the pinned rank-22 package (R1-R4, ' + 'references/pr219-run1/obligations.json) reduce to one missing layer: the word\'s physical bodies, ' + 'republished and re-run on the *banked* word. This file names the required exports, their ' + 'verifiable form, the digest or count each body must reproduce, and the acceptance tests. It is ' + 'the twin of export-contract.json, the complex side\'s contract, and reuses its shape exactly: the ' + 'same schema, the same seven acceptance tests A1-A7, the same gate/replay split, and a pinned ' + 'checker that gates the replay. verify.py -> check_bit_export_contract resolves every citation ' + 'below against the pinned bytes, asserts the state of the drop, and importer66.py consumes it like ' + 'any other contract.') + +contract['precedent'] = {} + +contract['precedent']['word_physical_layer_shape'] = { + 'reading': 'The bit word\'s physical layer is *built and pinned before* the rank-22 absorption: ' + 'charts, incidence and colouring with their bounds and a PASS status. That is the shape ' + 'R1-R4 must reach again on the absorbed word, and the precedent R1 extends -- which is ' + 'why this twin is half-met where the complex side is empty.', + 'citations': [ + citation(PACK, ['physical', 'status'], 'the supplier\'s own verdict on the built physical layer'), + citation(PACK, ['physical', 'm'], 'the banked width'), + citation(PACK, ['physical', 'banks'], 'the banked row\'s banks'), + citation(PACK, ['physical', 'gauge_roles'], 'the absorbed gauge family\'s roles'), + citation(PACK, ['physical', 'distinct_gauges'], 'and the frames they sit on, which A2 holds'), + citation(PACK, ['physical', 'incidences'], 'the built incidence count'), + citation(PACK, ['physical', 'physical_roles'], 'the physical roles A7 must witness'), + citation(PACK, ['physical', 'color_stats'], 'the colouring\'s exact statistics'), + citation(PACK, ['physical', 'conflicting_assignment_rejected'], + 'the colouring reject control, claimed true'), + citation(PACK, ['physical', 'max_den'], 'the chart denominator bound A3 holds the export to'), + citation(PACK, ['physical', 'max_num'], 'the chart numerator bound A3 holds the export to'), + citation(PACK, ['physical', 'max_chart_factors'], 'the factor count per frame'), + citation(PACK, ['physical', 'patterns'], 'the block patterns of the banked row'), + citation(PACK, ['physical', 'word_sha256'], 'the banked word'), + citation(PACK, ['physical', 'chart_sha256'], + 'the chart stream\'s digest: now reproduced in the drop, not just cited'), + citation(PACK, ['physical', 'incidence_sha256'], 'and the incidence stream\'s'), + citation(PACK, ['pinned_bit_files'], 'the word files the packed row pinned and did not publish')]} + +contract['precedent']['terminal_word_formal_layer'] = { + 'reading': 'The formal columns and the prime witnesses are built and pinned on the *terminal* ' + 'word: R2 and R3 are the same checks re-run on the absorbed word, not new mathematics. ' + 'The formal layer publishes its F2 identity and its defining-integer decoder as ' + 'booleans, which is exactly what A4 refuses to take on trust.', + 'citations': [ + citation(BIT, ['bit', 'terminal', 'status'], 'the terminal word\'s formal/geometry verdict'), + citation(BIT, ['bit', 'formal'], 'the two formal rows: F2 identity, integer defining decoder'), + citation(BIT, ['bit', 'terminal', 'formal'], 'the terminal replay per direction and mode'), + citation(BIT, ['bit', 'terminal', 'integer_residual_bound'], 'the defining-integer residual bound'), + citation(BIT, ['bit', 'terminal', 'packed_digit_bits'], 'the packed digit width'), + citation(BIT, ['bit', 'terminal', 'new_frames_added'], + 'the terminal word adds no frame: R1 may not add one either without re-pricing'), + citation(BIT, ['bit', 'profile', 'child_histogram', '22'], 'the rank-22 bin before absorption'), + citation(BIT, ['bit', 'profile', 'R'], 'the word\'s physical roles'), + citation(BIT, ['bit', 'profile', 'W_per_vertex'], 'the word\'s stock'), + citation(BIT, ['bit', 'profile', 'changed_operation_frames'], 'the frames a re-run must cover'), + citation(BIT, ['bit', 'profile', 'selected_roles'], 'the selected gauge family'), + citation(BIT, ['bit', 'prime_witnesses', 'status'], 'the witness layer\'s verdict'), + citation(BIT, ['bit', 'prime_witnesses', 'total_used_frames'], 'the frames witnessed'), + citation(BIT, ['bit', 'prime_witnesses', 'unique_used_bases'], 'distinct bases'), + citation(BIT, ['bit', 'prime_witnesses', 'maximum_determinant_bits'], 'the determinant scale'), + citation(BIT, ['bit', 'prime_witnesses', 'witness_sha256'], + 'the witness body\'s digest: now reproduced in the drop'), + citation(BIT, ['bit', 'prime_witnesses', 'witness_file'], + 'the witness body\'s upstream path, and the reason an index is needed beside it'), + citation(BIT, ['bit', 'prime_witnesses', 'script_sha256'], 'the supplier\'s witness script'), + citation(BIT, ['bit', 'prime_witnesses', 'rule'], 'the rule A7\'s bound is held to')]} + +contract['precedent']['the_family_is_enumerated'] = { + 'reading': 'The absorbed family is enumerated, its provenance is pinned and it is the *same word* ' + 'the packed row banked: the inventory\'s word digest is PR205\'s physical.word_sha256. ' + 'So the twin asks for bodies behind digests of a word this repository already ' + 'half-holds -- the schedule, the retained ledger and the whole-bank condition are ' + 'published accounting, not the physical layer.', + 'citations': [ + citation(OCC, ['status'], 'what the enumeration is'), + citation(OCC, ['counts_per_vertex'], 'the family\'s counts B2 must reproduce exactly'), + citation(OCC, ['row_identity_per_vertex'], 'the row the enumeration was taken in'), + citation(OCC, ['source_pins'], 'the word, the base checker and the certificate, by digest'), + citation(ACC, ['status'], 'the accounting package\'s own verdict and its declared conditionality'), + citation(ACC, ['schedule', 'status'], 'the literal statement that no physical layer is built'), + citation(ACC, ['obligations'], 'the four obligations this contract answers'), + citation(ACC, ['schedule', 'banks'], 'the whole-bank condition and the bank count it implies'), + citation(ACC, ['schedule', 'row_identity'], 'the retained row identity'), + citation(ACC, ['schedule', 'block_tilings', 'feasible_patterns'], + 'the admissible tilings R1 must select from'), + citation(ACC, ['kappa'], 'the conditional kappa R4\'s parity test protects')], + 'cross_reading': 'the inventory\'s source_pins.word_p12_sha256 equals the packed row\'s ' + 'physical.word_sha256: the enumerated family and the banked row are the same word, ' + 'so the contract asks for bodies behind existing digests rather than for new trust'} + +contract['precedent']['what_the_obligations_say'] = { + 'reading': 'the four obligations, quoted from the pinned statement rather than paraphrased; every ' + 'export below is mapped to one or more of them, so the twin cannot answer an obligation ' + 'the package did not state', + 'citations': [ + citation(OBL, ['obligations', 0, 'statement'], 'R1: the residual type, the bank blocks, the assignment'), + citation(OBL, ['obligations', 1, 'statement'], 'R2: the formal columns of the modified word'), + citation(OBL, ['obligations', 2, 'statement'], 'R3: charts, colouring and prime witnesses'), + citation(OBL, ['obligations', 3, 'statement'], 'R4: the moment envelope and the recomputation rule')]} + +contract['today'] = { + 'bodies_present': 0, + 'of_required': 6, + 'about': 'the pinned *certificates*: what the supplier published as bytes rather than as hashes', + 'verdict': 'fail closed: not one required export is published as a body by the pins. The physical ' + 'layer the pins hold belongs to the *unabsorbed* word (PR200\'s formal columns and ' + 'witnesses, PR205\'s charts, incidence and colouring) and is published as digests and ' + 'statuses; the pinned rank-22 package certifies the accounting and says so in its own ' + 'schedule.status. See `drop` for what has since been assembled and reproduced outside ' + 'the pins.', + 'published_only_as': ['digest', 'count', 'status', 'enumeration', 'path'], + 'evidence': [ + citation(ACC, ['status'], 'the package\'s own verdict: R1-R4 OPEN, kappa conditional'), + citation(ACC, ['schedule', 'status'], 'no physical column, chart or prime witness is built there'), + citation(ACC, ['obligations'], 'the four obligations, still OPEN'), + citation(BIT, ['bit', 'prime_witnesses', 'input_sha256'], + 'the five word bodies exist as digests in the supplier\'s workspace, not in the pins'), + citation(BIT, ['bit', 'prime_witnesses', 'witness_file'], 'the witness body\'s path, not its bytes'), + citation(PACK, ['physical', 'chart_sha256'], 'the chart stream: digest only, in the pins'), + citation(PACK, ['physical', 'incidence_sha256'], 'the incidence stream: digest only, in the pins'), + citation(PACK, ['physical', 'word_sha256'], 'the word body: digest only'), + citation(BIT, ['bit', 'prime_witnesses', 'witness_sha256'], 'the witness body: digest only'), + citation(OCC, ['source_pins', 'checker_sha256'], 'the checker this contract pins: digest only')]} + +contract['drop'] = { + 'about': 'the import directory this package now ships, and what a partial run of the gate makes ' + 'of it: the two export groups whose bytes the supplier published as digests, reproduced ' + 'and anchored, and the declarations they do not carry themselves', + 'dir': 'exports-bit', + 'bodies': 10, + 'anchored': 8, + 'exports_complete': ['B1', 'B3'], + 'exports_absent': ['B2', 'B4', 'B5', 'B6'], + 'streams': ['charts.json', 'incidence.json'], + 'reproduced': 'the five word bodies and the witness body are the supplier\'s own bytes, each ' + 'hashing to the digest its certificate published. The chart and incidence streams do ' + 'not exist upstream as files: PR205 published digests of canonical streams. Running ' + 'PR205\'s packer unmodified on the word bodies in this drop re-derives both streams ' + 'byte for byte, and the packer\'s recomputed physical block differs from PR205\'s ' + 'published block in no field (exports-bit/physical.rebuilt.json)', + 'declarations': 'what the bodies do not declare is declared by two index bodies, derived by ' + 'bitindex.py from the bodies and the pinned certificates rather than typed in: ' + 'index.json.gz (B1: the sibling digests, the terminal geometry, the selected gauge ' + 'family and its 220 distinct frames) and charts.index.json.gz (B3: the colouring ' + 'and chart statistics, the banked row and the 24,401-entry witness table A7 is ' + 'held to). Neither is anchored: an index is a declaration, and the bodies it ' + 'describes are what carry the digests', + 'verdict': 'the gate decides A2 and A3 on the real bytes and the declarations derived from them: ' + 'A2 on the six index counts, the frame-record bijection and the foreign-replay bound, ' + 'A3 on the chart and witness bounds. A1 passes its eight digest anchors and nine index ' + 'checks and still lacks a manifest; A6 and A7 pass seventeen chart/index checks each ' + 'and still lack B5\'s controls; A4 lacks B4 and A5 lacks B2. So the drop is reportable ' + 'in part and never admissible: the default import refuses it (code 2), the partial run ' + 'reports it (code 4) and nothing is discharged. R1-R4 stay OPEN', + 'gate': { + 'command': 'python3 -B importer66.py --contract export-contract-bit.json --exports ' + 'exports-bit --partial', + 'exit_code': 4, + 'default_exit_code': 2, + 'by_test': { + 'A1': '17 checks pass, 0 fail; not runnable while integrity.json is absent', + 'A2': 'PASS, 9 checks', + 'A3': 'PASS, 17 checks', + 'A4': 'no check yet: B4 is absent', + 'A5': 'no check yet: B2 is absent', + 'A6': '17 checks pass, 0 fail; not runnable while controls.json is absent', + 'A7': '17 checks pass, 0 fail; not runnable while controls.json is absent'}, + 'report': 'bit-drop-report.json', + 'report_reading': 'the same partial run, as JSON, and verify.py re-runs it and compares', + 'note': 'two of the seven acceptance tests are decided on published bytes; the other five ' + 'wait for bodies this drop does not hold'}, + 'evidence': [ + citation(PACK, ['physical', 'chart_sha256'], 'the chart stream the drop reproduces'), + citation(PACK, ['physical', 'incidence_sha256'], 'the incidence stream the drop reproduces'), + citation(PACK, ['physical', 'distinct_gauges'], 'the 220 distinct gauge frames A2 holds'), + citation(BIT, ['bit', 'prime_witnesses', 'input_sha256'], 'the five word digests the drop reproduces'), + citation(BIT, ['bit', 'prime_witnesses', 'witness_sha256'], 'the witness digest the drop reproduces'), + citation(OCC, ['source_pins', 'checker_sha256'], 'the checker the drop pins')]} + +contract['required_exports'] = [] + +contract['required_exports'].append({ + 'id': 'B1', + 'name': 'the word, its frames and the selected gauge family', + 'publishes': 'the five bodies behind the terminal word\'s input digests -- word.json.gz (the ' + 'packed word), frames.json.gz (integer kernel basis per frame), graph.json (parents, ' + 'children and edges), kchron.json (the chronology) and profile.json (the histogram ' + 'and ledger row) -- verbatim and anchored, together with index.json.gz, which ' + 'declares their digests, the terminal column geometry, the selected gauge family and ' + 'the bijection between its 220 distinct frames and their records in the frame table', + 'form': 'five JSON/gz bodies as published, plus one JSON/gz index (integers and digests only)', + 'cardinality': {'formal_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'formal_columns'), + 'dirty_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'dirty_columns'), + 'changed_operation_frames': g(BIT, 'bit', 'profile', 'changed_operation_frames'), + 'used_frames': g(BIT, 'bit', 'prime_witnesses', 'total_used_frames'), + 'selected_roles': g(BIT, 'bit', 'profile', 'selected_roles'), + 'gauge_frames': g(PACK, 'physical', 'distinct_gauges')}, + 'must_reproduce': [ + citation(BIT, ['bit', 'prime_witnesses', 'input_sha256'], + 'all five word digests must come out of the published bodies'), + citation(BIT, ['bit', 'prime_witnesses', 'total_used_frames'], 'the witness table the index counts'), + citation(BIT, ['bit', 'profile', 'selected_roles'], 'the selected family the index derives'), + citation(PACK, ['physical', 'distinct_gauges'], 'and the frames it sits on, bijectively'), + citation(PACK, ['physical', 'word_sha256'], 'the word digest PR205 banked, unchanged')], + 'bodies': [ + {'file': 'index.json.gz', 'anchored_digest': None}, + {'file': 'word.json.gz', 'stream': False, + 'anchored_digest': g(BIT, 'bit', 'prime_witnesses', 'input_sha256', + 'research/paired-cube-diagonal-bit-168/selected/bit/word_p12.json.gz')}, + {'file': 'frames.json.gz', 'stream': False, + 'anchored_digest': g(BIT, 'bit', 'prime_witnesses', 'input_sha256', + 'research/paired-cube-diagonal-bit-168/selected/bit/frames_p12.json.gz')}, + {'file': 'graph.json', 'stream': False, + 'anchored_digest': g(BIT, 'bit', 'prime_witnesses', 'input_sha256', + 'research/paired-cube-diagonal-bit-168/selected/bit/graph_p12.json')}, + {'file': 'kchron.json', 'stream': False, + 'anchored_digest': g(BIT, 'bit', 'prime_witnesses', 'input_sha256', + 'research/paired-cube-diagonal-bit-168/selected/bit/kchron_p12.json')}, + {'file': 'profile.json', 'stream': False, + 'anchored_digest': g(BIT, 'bit', 'prime_witnesses', 'input_sha256', + 'research/paired-cube-diagonal-bit-168/selected/bit/profile_p12.json')}], + 'gate': {'test': ['A1', 'A2'], + 'equals': {'formal_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'formal_columns'), + 'dirty_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'dirty_columns'), + 'changed_operation_frames': g(BIT, 'bit', 'profile', + 'changed_operation_frames'), + 'used_frames': g(BIT, 'bit', 'prime_witnesses', 'total_used_frames'), + 'selected_roles': g(BIT, 'bit', 'profile', 'selected_roles'), + 'gauge_frames': g(PACK, 'physical', 'distinct_gauges')}, + 'bijection': ['gauge_frame_map'], + 'flags_present': ['input_sha256'], + 'at_most': {'foreign_producer_replays': g(BIT, 'bit', 'foreign_producer_replays')}}, + 'acceptance': ['A1', 'A2'], + 'unblocks': ['R2', 'R3']}) + +contract['required_exports'].append({ + 'id': 'B2', + 'name': 'the bank blocks and the per-occurrence assignment', + 'publishes': 'the rank-22 residual item (one per enumerated occurrence of the pinned inventory), ' + 'its coordinate-block shape in a bank of width 72, the selected tiling of that width, ' + 'and the per-occurrence assignment (item -> bank, offset) with the normalizer sending ' + 'each item\'s true residual projector to its assigned block', + 'form': 'JSON: the selected pattern, the bank table (banks x 72 offsets) and the item assignment, ' + 'integers only, with the assignment hashed', + 'cardinality': {'items': g(ACC, 'schedule', 'absorbed_family', 'occurrences_three_copies'), + 'banks': g(ACC, 'schedule', 'banks', 'banks_from_volume'), + 'width': g(ACC, 'schedule', 'banks', 'width'), + 'registers': g(ACC, 'schedule', 'absorbed_family', 'dirt_volume_registers'), + 'occurrences_per_vertex': g(ACC, 'schedule', 'absorbed_family', + 'ledger_bin_per_vertex'), + 'normalization_factor': g(ACC, 'schedule', 'absorbed_family', + 'normalization_factor')}, + 'must_reproduce': [ + citation(ACC, ['schedule', 'banks'], 'the whole-bank condition and the bank count'), + citation(ACC, ['schedule', 'absorbed_family'], 'the family\'s exact inventory, with provenance'), + citation(ACC, ['schedule', 'block_tilings', 'feasible_patterns'], 'the admissible tilings'), + citation(OCC, ['counts_per_vertex'], 'the pinned enumeration\'s counts'), + citation(OCC, ['row_identity_per_vertex'], 'the row the occurrences were enumerated in')], + 'bodies': [{'file': 'assignment.json', 'stream': False, 'anchored_digest': None}], + 'gate': {'test': ['A5'], + 'equals': {'items': g(ACC, 'schedule', 'absorbed_family', 'occurrences_three_copies'), + 'banks': g(ACC, 'schedule', 'banks', 'banks_from_volume'), + 'width': g(ACC, 'schedule', 'banks', 'width'), + 'registers': g(ACC, 'schedule', 'absorbed_family', 'dirt_volume_registers'), + 'occurrences_per_vertex': g(ACC, 'schedule', 'absorbed_family', + 'ledger_bin_per_vertex')}, + 'bijection': ['assignment'], + 'equals_in': [ + {'body_key': 'counts_per_vertex', 'source': OCC, 'keys': ['counts_per_vertex'], + 'why': 'the export must name exactly the counts the pinned inventory names: this is ' + 'what makes A5 a bijection against the enumeration rather than a restatement'}, + {'body_key': 'bank_table', 'source': ACC, 'keys': ['schedule', 'banks'], + 'why': 'the export\'s bank table must be the one the schedule\'s whole-bank ' + 'condition implies, not a restatement of it'}, + {'body_key': 'row_identity', 'source': ACC, 'keys': ['schedule', 'row_identity'], + 'why': 'and the absorbed row must be the row R4 prices'}]}, + 'acceptance': ['A5'], + 'unblocks': ['R1', 'R4']}) + +contract['required_exports'].append({ + 'id': 'B3', + 'name': 'charts, incidence colouring and prime witnesses', + 'publishes': 'the chart stream (integer kernel bases with fraction-free inverses and the replayed ' + 'elementary factors, frame by frame), the incidence stream (one coloured incidence ' + 'per line), and the witness table, each verbatim and anchored, plus ' + 'charts.index.json.gz, which declares the colouring and chart statistics the streams ' + 'carry but do not name, the banked row, and the witness table A7 is held to', + 'form': 'two canonical byte streams (hashed as published, not parsed) and the witness JSON/gz, ' + 'plus one JSON/gz index', + 'cardinality': {'used_frames': g(BIT, 'bit', 'prime_witnesses', 'total_used_frames'), + 'physical_roles': g(BIT, 'bit', 'profile', 'R'), + 'gauge_roles': g(PACK, 'physical', 'gauge_roles'), + 'distinct_gauges': g(PACK, 'physical', 'distinct_gauges'), + 'incidences': g(PACK, 'physical', 'incidences'), + 'banks': g(PACK, 'physical', 'banks'), + 'max_chart_factors': g(PACK, 'physical', 'max_chart_factors'), + 'swaps': g(PACK, 'physical', 'color_stats', 'swaps'), + 'longest_swapped_path': g(PACK, 'physical', 'color_stats', + 'longest_swapped_path')}, + 'must_reproduce': [ + citation(PACK, ['physical', 'chart_sha256'], 'the chart stream\'s digest'), + citation(PACK, ['physical', 'incidence_sha256'], 'the incidence stream\'s digest'), + citation(PACK, ['physical', 'max_den'], 'the denominator bound the re-run must not exceed'), + citation(PACK, ['physical', 'max_num'], 'the numerator bound'), + citation(PACK, ['physical', 'color_stats'], 'the colouring\'s exact statistics'), + citation(PACK, ['physical', 'conflicting_assignment_rejected'], 'and its reject control'), + citation(PACK, ['physical', 'incidences'], 'the incidence count'), + citation(BIT, ['bit', 'prime_witnesses', 'witness_sha256'], 'the witness body behind its digest'), + citation(BIT, ['bit', 'prime_witnesses', 'total_used_frames'], 'the frames witnessed'), + citation(BIT, ['bit', 'prime_witnesses', 'unique_used_bases'], 'distinct bases'), + citation(BIT, ['bit', 'prime_witnesses', + 'all_remaining_factors_below_retained_prime_lower_bound'], + 'every remaining factor below the retained prime bound'), + citation(BIT, ['bit', 'prime_witnesses', 'rule'], 'the rule A7\'s bound rests on')], + 'bodies': [ + {'file': 'charts.index.json.gz', 'stream': False, 'anchored_digest': None}, + {'file': 'charts.json', 'stream': True, + 'anchored_digest': g(PACK, 'physical', 'chart_sha256')}, + {'file': 'incidence.json', 'stream': True, + 'anchored_digest': g(PACK, 'physical', 'incidence_sha256')}, + {'file': 'prime-witnesses.json.gz', 'stream': False, + 'anchored_digest': g(BIT, 'bit', 'prime_witnesses', 'witness_sha256')}], + 'gate': {'test': ['A3', 'A6', 'A7'], + 'equals': {'used_frames': g(BIT, 'bit', 'prime_witnesses', 'total_used_frames'), + 'physical_roles': g(BIT, 'bit', 'profile', 'R'), + 'gauge_roles': g(PACK, 'physical', 'gauge_roles'), + 'distinct_gauges': g(PACK, 'physical', 'distinct_gauges'), + 'incidences': g(PACK, 'physical', 'incidences'), + 'banks': g(PACK, 'physical', 'banks'), + 'W': g(PACK, 'physical', 'W'), + 'rank_mass': g(PACK, 'physical', 'rank_mass'), + 'deficit': g(PACK, 'physical', 'deficit'), + 'swaps': g(PACK, 'physical', 'color_stats', 'swaps'), + 'longest_swapped_path': g(PACK, 'physical', 'color_stats', + 'longest_swapped_path'), + 'max_chart_factors': g(PACK, 'physical', 'max_chart_factors')}, + 'at_most': {'max_denominator': g(PACK, 'physical', 'max_den'), + 'max_abs_numerator': g(PACK, 'physical', 'max_num')}, + 'flags_true': ['conflicting_assignment_rejected'], + 'flags_present': ['color_stats'], + 'distinct_below': {'witnesses': 'prime_witnesses', 'bound': 'q_bound'}}, + 'acceptance': ['A1', 'A3', 'A6', 'A7'], + 'unblocks': ['R1', 'R3']}) + +contract['required_exports'].append({ + 'id': 'B4', + 'name': 'columns of the banked word', + 'publishes': 'per direction and per ring the formal column tables of the *banked* word: every ' + 'source, target and dirty-register column over F2 and over the defining integers, ' + 'with the rank-22 transitions realized by bank re-assignment rather than by paid ' + 'children, the residual bound and the packed digits as in the terminal replay', + 'form': 'JSON tables of integer addresses, one row per column', + 'cardinality': {'formal_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'formal_columns'), + 'dirty_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'dirty_columns'), + 'source_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'source_columns'), + 'target_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'target_columns'), + 'integer_residual_bound': g(BIT, 'bit', 'terminal', 'integer_residual_bound'), + 'packed_digit_bits': g(BIT, 'bit', 'terminal', 'packed_digit_bits')}, + 'must_reproduce': [ + citation(BIT, ['bit', 'terminal', 'formal'], 'the terminal replay\'s own column geometry'), + citation(BIT, ['bit', 'terminal', 'integer_residual_bound'], 'the defining-integer residual bound'), + citation(BIT, ['bit', 'terminal', 'packed_digit_bits'], 'the packed digit width'), + citation(BIT, ['bit', 'formal'], 'the F2 identity and the defining-integer decoder, as claims'), + citation(BIT, ['bit', 'terminal', 'status'], 'the verdict the re-run must reach again'), + citation(OBL, ['obligations', 1, 'statement'], 'R2, word for word')], + 'bodies': [{'file': 'columns.json', 'stream': False, 'anchored_digest': None}], + 'gate': {'test': ['A4'], + 'equals': {'formal_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'formal_columns'), + 'dirty_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'dirty_columns'), + 'source_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'source_columns'), + 'target_columns': g(BIT, 'bit', 'terminal', 'formal', 0, 'target_columns'), + 'checked_source_columns': g(BIT, 'bit', 'terminal', 'formal', 0, + 'source_columns'), + 'checked_target_rows': g(BIT, 'bit', 'terminal', 'formal', 0, + 'target_columns'), + 'checked_dirty_columns': g(BIT, 'bit', 'terminal', 'formal', 0, + 'dirty_columns'), + 'integer_residual_bound': g(BIT, 'bit', 'terminal', 'integer_residual_bound'), + 'packed_digit_bits': g(BIT, 'bit', 'terminal', 'packed_digit_bits')}, + 'counted_in_tables': {'source_columns': 'checked_source_columns', + 'target_rows': 'checked_target_rows', + 'dirty_columns': 'checked_dirty_columns'}}, + 'acceptance': ['A4'], + 'unblocks': ['R2']}) + +contract['required_exports'].append({ + 'id': 'B5', + 'name': 'the reject controls', + 'publishes': 'the negative controls the word\'s own certificates ran, re-run on the banked word ' + 'and published with the rejected object: the 4 word controls, the 3 terminal ' + 'controls, the 21 adverse coarse controls, the 2 rejected adjacent grids and the 6 ' + 'rejected bank partitions with their 12 weighted partition cases', + 'form': 'JSON: per control the mutated object, the predicate it violates and the observed rejection', + 'cardinality': {'adverse_controls': g(BIT, 'arithmetic', 'adverse_control_count'), + 'word_controls': len(g(BIT, 'bit', 'word_controls')), + 'terminal_controls': len(g(BIT, 'bit', 'terminal', 'controls')), + 'rejected_partitions': len(g(PACK, 'bank_controls', 'rejected')), + 'weighted_partition_cases': g(PACK, 'bank_controls', 'weighted_partition_cases'), + 'formal_columns_per_case': g(PACK, 'bank_controls', + 'formal_columns_per_case')}, + 'must_reproduce': [ + citation(BIT, ['arithmetic', 'adverse_control_count'], 'the adverse controls the coarse run counted'), + citation(BIT, ['bit', 'word_controls'], 'the word\'s four controls'), + citation(BIT, ['bit', 'terminal', 'controls'], 'the terminal controls and their verdicts'), + citation(BIT, ['bit', 'coarse', 'controls'], 'the two rejected adjacent grids'), + citation(BIT, ['bit', 'coarse', 'scope'], 'what the rejection does and does not claim'), + citation(PACK, ['bank_controls'], 'the rejected bank partitions and the cases run'), + citation(OBL, ['obligations', 2, 'statement'], 'R3\'s reject-control half, word for word')], + 'bodies': [{'file': 'controls.json', 'stream': False, 'anchored_digest': None}], + 'gate': {'test': ['A6', 'A7'], + 'equals': {'adverse_controls': g(BIT, 'arithmetic', 'adverse_control_count'), + 'word_controls': len(g(BIT, 'bit', 'word_controls')), + 'terminal_controls': len(g(BIT, 'bit', 'terminal', 'controls')), + 'rejected_partitions': len(g(PACK, 'bank_controls', 'rejected')), + 'weighted_partition_cases': g(PACK, 'bank_controls', + 'weighted_partition_cases'), + 'formal_columns_per_case': g(PACK, 'bank_controls', + 'formal_columns_per_case')}, + 'flags_true': ['next_coarse_grid_rejected', 'previous_atom_grid_rejected'], + 'flags_present': ['rejected', 'controls']}, + 'acceptance': ['A6', 'A7'], + 'unblocks': ['R2', 'R3']}) + +contract['required_exports'].append({ + 'id': 'B6', + 'name': 'envelope and integrity', + 'publishes': 'the paid moment envelope of the banked word in the form arithmetic.py consumes ' + '(retained stock, deficit, retained histogram, worst-case bad fraction 1e-16 and the ' + 'fallback 32*72^2 per retained child), the completion-child ledger R1 may have ' + 'extended with the recomputed kappa if it did, and the manifest listing every digest ' + 'of B1-B5, the streams included, and the acceptance predicates actually run', + 'form': 'JSON envelope plus manifest', + 'cardinality': {'W_after': g(ACC, 'schedule', 'retained_profile', 'W_after'), + 'deficit': g(ACC, 'schedule', 'retained_profile', 'deficit'), + 'rank_mass_after': g(ACC, 'schedule', 'retained_profile', 'rank_mass_after'), + 'retained_children': g(ACC, 'schedule', 'retained_profile', 'children_after'), + 'maxchild': g(ACC, 'schedule', 'retained_profile', 'maxchild'), + 'banks': g(ACC, 'schedule', 'banks', 'banks_from_volume'), + 'registers': g(ACC, 'schedule', 'absorbed_family', 'dirt_volume_registers'), + 'bad_fraction_inverse': 10 ** 16, + 'fallback_registers_per_child': 32 * 72 ** 2}, + 'must_reproduce': [ + citation(ACC, ['schedule', 'retained_profile', 'W_after'], 'the absorbed stock'), + citation(ACC, ['schedule', 'retained_profile', 'deficit'], 'the unchanged deficit'), + citation(ACC, ['schedule', 'retained_profile', 'rank_mass_after'], 'the retained rank mass'), + citation(ACC, ['schedule', 'retained_profile', 'children_after'], 'the retained children'), + citation(ACC, ['schedule', 'retained_profile', 'maxchild'], 'the largest retained child'), + citation(ACC, ['schedule', 'retained_profile', 'histogram'], 'the histogram arithmetic.py prices'), + citation(ACC, ['schedule', 'row_identity'], 'the row identity the envelope must satisfy'), + citation(ACC, ['kappa'], 'the conditional kappa R4\'s parity test protects'), + citation(ACC, ['schedule', 'absorbed_family'], 'the family the envelope drops'), + citation(OBL, ['obligations', 3, 'statement'], 'R4, word for word, including the recomputation rule')], + 'bodies': [{'file': 'envelope.json', 'stream': False, 'anchored_digest': None}, + {'file': 'integrity.json', 'stream': False, 'anchored_digest': None}], + 'gate': {'test': ['A1'], + 'equals': {'W_after': g(ACC, 'schedule', 'retained_profile', 'W_after'), + 'deficit': g(ACC, 'schedule', 'retained_profile', 'deficit'), + 'rank_mass_after': g(ACC, 'schedule', 'retained_profile', 'rank_mass_after'), + 'retained_children': g(ACC, 'schedule', 'retained_profile', 'children_after'), + 'maxchild': g(ACC, 'schedule', 'retained_profile', 'maxchild'), + 'banks': g(ACC, 'schedule', 'banks', 'banks_from_volume'), + 'registers': g(ACC, 'schedule', 'absorbed_family', 'dirt_volume_registers'), + 'bad_fraction_inverse': 10 ** 16, + 'fallback_registers_per_child': 32 * 72 ** 2, + 'kappa': g(ACC, 'kappa')}, + 'at_most': {'completion_children': 0}, + 'declares_every_body_on': 'integrity.json'}, + 'acceptance': ['A1'], + 'unblocks': ['R4']}) + +contract['acceptance_tests'] = [ + {'id': 'A1', 'name': 'body hashes to the published digest', + 'test': 'every exported body hashes to the digest the word\'s certificates already published -- ' + 'the five word bodies, the witness body, and PR205\'s chart and incidence streams -- and ' + 'the index bodies, which are declarations, are hashed by the manifest instead', + 'bound': 'word 1cb7e8ed..., frames ad8e2705..., graph 31a09a55..., chronology 0fab548e..., ' + 'profile c44ef864..., witness 612f0b91..., word 0728ed1c..., chart 22662b85..., ' + 'incidence 76bff256...', + 'reject_control': 'any altered byte fails the hash; a matching hash is evidence of identity, ' + 'not correctness, and the contract says so'}, + {'id': 'A2', 'name': 'frame-record bijection', + 'test': 'the selected gauge family is the word\'s own rank-20 family, and each of its distinct ' + 'frames is bijectively recorded in the frame table', + 'bound': '2,200 selected roles over 220 distinct gauge frames, 24,401 used frames, 17,114 ' + 'physical roles', + 'reject_control': 'a frame used by a selected role with no record, or a map that is not a ' + 'bijection, or an id used twice'}, + {'id': 'A3', 'name': 'charts and factors', + 'test': 'fraction-free chart inversion and replayed elementary factors on every frame the new ' + 'blocks use, with the denominator and numerator bounds PR205 published, and the chart ' + 'stream anchored to the digest PR205 published', + 'bound': 'max_denominator <= 18, max_abs_numerator <= 5, max_chart_factors <= 171, and the ' + 'chart stream hashing to 22662b85...', + 'reject_control': 'a factor that does not replay, a denominator above 18, or a stream that does ' + 'not hash to the published digest'}, + {'id': 'A4', 'name': 'columns of the banked word', + 'test': 'the formal columns re-run on the banked word: every source, target and dirty-register ' + 'column over F2 and over the defining integers, with the rank-22 transitions realized by ' + 'bank re-assignment instead of paid children', + 'bound': '20,634 formal columns and 17,114 dirty columns per direction, 1,760 source and 1,760 ' + 'target columns, integer residual bound 39,780, packed digit bits 24', + 'reject_control': 'counts quoted from the certificate instead of coming out of the exported ' + 'tables, and any column that no longer restores'}, + {'id': 'A5', 'name': 'per-child bijection', + 'test': 'the exported occurrences map onto the pinned inventory\'s items -- 6,672 rank-22 ledger ' + 'children per vertex under the row\'s factor-3 normalization, 20,016 three-copy items -- ' + 'onto 6,116 banks of width 72, with no other bin touched', + 'bound': '20,016 items over 6,116 x 72 = 440,352 registers, 1,320 + 24 + 880 per vertex', + 'reject_control': 'an occurrence outside the ledger\'s rank-22 bin, a block left without its ' + 'item, or counts that are not the pinned inventory\'s'}, + {'id': 'A6', 'name': 'incidence colouring', + 'test': 'the colouring of the new bank incidences with the conflicting assignment rejected, and ' + 'the incidence stream anchored to the digest PR205 published', + 'bound': '154,026 incidences, 45,842 banks, PR205\'s statistics: swaps 733, longest_swapped_path ' + '11, conflicting_assignment_rejected true, and the stream hashing to 76bff256...', + 'reject_control': 'a conflicting assignment accepted, or a stream that does not hash to the ' + 'published digest'}, + {'id': 'A7', 'name': 'prime witnesses', + 'test': 'distinct integer Gram/prime witnesses for every frame the new blocks use, with residual ' + 'factors below the retained q bound', + 'bound': '24,401 used frames, 24,401 distinct bases, maximum determinant 118 bits, the retained ' + 'rule q > 2^80', + 'reject_control': 'a repeated witness, or a factor above the retained bound'}] + +contract['obligation_mapping'] = { + 'R1': ['B2', 'B3'], + 'R2': ['B1', 'B4', 'B5'], + 'R3': ['B1', 'B3', 'B5'], + 'R4': ['B2', 'B6']} + +contract['not_required'] = [ + 'internal id stability: the word\'s frame ids are already the canonical annihilator ids (its own ' + 'conventions say so), so no renumbering map is asked for -- only A2\'s frame-record bijection', + 'program text beyond canonical data: B1 is the word, its frames, its graph, its chronology and ' + 'its profile, not a listing in the supplier\'s own language', + 'sources for the supplier\'s own claims: the importer re-runs the columns (A4) and re-charts the ' + 'frames (A3), so bit.formal\'s identity and defining_decoder booleans are claims to reproduce, ' + 'not results', + 'a re-derivation of the accounting: the schedule, the whole-bank condition, the retained ledger ' + 'and the conditional kappa are the pinned package\'s, and B6 must reproduce them; the one place ' + 'an export may move a published number is R4\'s completion child, and then the recomputed kappa ' + 'must be published and this contract\'s kappa citation re-anchored', + 'the gauge family\'s own absorption: it is already built and pinned in PR205 and is the ' + 'precedent here, not a target', + 'anchored indexes: the two index bodies are declarations and are not anchored, because the ' + 'bodies they describe are what carry the digests; the manifest is what ties them together', + 'any asymptotic interface: general Clifford/tensor, uniform weighted compilation, restored rows, ' + 'routing, paid layout, prime supply, precision/recovery and fixed tape stay the stated ' + 'assumptions they already are, so this contract can buy a completed conditional finite witness ' + 'and never a theorem'] + +contract['import_harness'] = { + 'module': 'importer66.py', + 'contract': 'export-contract-bit.json', + 'exports_dir': 'exports-bit', + 'usage': 'python3 -B importer66.py --contract export-contract-bit.json --exports DIR ' + '[--checker FILE] [--partial] | --self-test', + 'exit_codes': { + '0': 'admissible: every body present, the gate green and the pinned replay checker passed', + '1': 'a check failed: the report names the test, its bound and what was seen', + '2': 'refusing: at least one required body is absent, or the supplied checker is not the one ' + 'the contract pins, so nothing is run and nothing is certified', + '3': 'gate green, replay NOT RUN: no checker was supplied', + '4': 'partial: the gate was run on the bodies present, for reporting only; nothing is discharged'}, + 'layers': { + 'gate': 'decidable from the bodies\' declared data: hashes (A1, streams included, hashed as ' + 'published), cardinalities and the frame-record bijection (A2), the chart and witness ' + 'bounds (A3, A7), the colouring statistics (A6), the per-child bijection against the ' + 'pinned inventory (A5) and the column counts that must come out of the exported ' + 'tables rather than the certificate (A4)', + 'replay': 'the physics: the formal columns over F2 and over the defining integers, the ' + 'fraction-free chart replay, the incidence colouring and the moment envelope ' + 're-derived. The harness does not reimplement any of it and never claims to have run ' + 'it: the checker whose digest this contract pins must be supplied, and until it is ' + 'the replay is reported NOT RUN'}, + 'replay_requirement': { + 'checker_digest': g(OCC, 'source_pins', 'checker_sha256'), + 'checker_source': 'source_pins.checker_sha256 of the pinned rank-22 occurrence inventory, ' + 'references/pr219-run1/inputs/absorbed-occurrences.json', + 'why': 'the physics is the bit word\'s own base checker, not a reimplementation, and the ' + 'inventory is where the word pins it. The complex side\'s replay checker ' + '(lift.checker_sha256 of the PR193 certificate) is a different digest and is not ' + 'accepted here: the two contracts pin their own supplier\'s checker'}, + 'anchored_digests_are_of_published_bytes': 'hash files as published, gzip bodies and canonical ' + 'streams included, and read .gz fields after ' + 'decompressing; a body declared "stream" is hashed ' + 'and never parsed', + 'self_test': '--self-test builds synthetic bit bodies in a temporary directory, patches the ' + 'anchored digests to the synthetic hashes -- streams included, written as they are ' + 'published -- and then exercises all seven checks, all four refusal codes and the ' + 'partial report, so the harness is proven to work and to reject while the real bit ' + 'drop is only part assembled'} + +contract['failure_semantics'] = { + 'today': '0 of 6 bodies published by the pins; the drop assembled beside them holds B1 and B3, ' + 'which the default import still refuses (code 2) and the partial report runs (code 4), ' + 'so nothing is discharged', + 'order_of_discharge': 'A1 admits the word and witness bodies and the two streams, so B1 and B3 ' + 'are real re-runs rather than digests; B2\'s assignment is the one genuinely ' + 'new artifact R1 asks for, and schedule.py already supplies the admissible ' + 'tilings; A4 re-runs R2 on the banked word; A6-A7 close R3; B6 closes R4 by ' + 'reproducing the retained ledger exactly. If R1 introduces a completion ' + 'child the kappa moves: the export must then publish the recomputed kappa ' + 'and this contract\'s kappa citation must be re-anchored, which is the one ' + 'edit R4 licenses here', + 'never': 'no export can make the bound unconditional; see references/pr219-run1/obligations.json ' + '-> claim_scope and the complex side\'s contract for the interfaces this can never buy'} + +contract['status'] = ('CONTRACT PUBLISHED AND MACHINE-CHECKED: verify.py -> check_bit_export_contract ' + 'resolves every citation against the pinned bytes, asserts the state of the drop, ' + 'that its eight anchored bodies are the published bytes and that the gate decides ' + 'A2 and A3 on them while refusing the rest; importer66.py --contract ' + 'export-contract-bit.json --self-test proves the gate on synthetic bit bodies and ' + 'the partial report on the real drop') + +target = ROOT / 'export-contract-bit.json' +target.write_text(json.dumps(contract, indent=1, ensure_ascii=False) + '\n', newline='\n') + + +def resolve(node, keys): + for key in keys: + node = node[key] + return node + + +fresh = json.loads(target.read_text()) +checked = 0 +for block in fresh['precedent'].values(): + for row in block['citations']: + assert resolve(DOC[row['source']], row['keys']) == row['value'], row + checked += 1 +for row in fresh['today']['evidence'] + fresh['drop']['evidence']: + assert resolve(DOC[row['source']], row['keys']) == row['value'], row + checked += 1 +for export in fresh['required_exports']: + for row in export['must_reproduce']: + assert resolve(DOC[row['source']], row['keys']) == row['value'], row + checked += 1 +bodies = [b for e in fresh['required_exports'] for b in e['bodies']] +print('wrote %s: %d citations resolve, %d exports, %d tests, %d bodies (%d anchored, %d streams)' + % (target.name, checked, len(fresh['required_exports']), len(fresh['acceptance_tests']), + len(bodies), sum(1 for b in bodies if b['anchored_digest']), + sum(1 for b in bodies if b.get('stream')))) diff --git a/research/complex-bank-run3/bitindex.py b/research/complex-bank-run3/bitindex.py new file mode 100644 index 0000000000..5ad7388bcc --- /dev/null +++ b/research/complex-bank-run3/bitindex.py @@ -0,0 +1,157 @@ +#!/usr/bin/env python3 +"""The two declaration bodies of the bit drop: B1's `index.json.gz` and B3's `charts.index.json.gz`. + +The word bodies and the physical bodies in `exports-bit/` are the supplier's own artifacts, published +verbatim and anchored to the digests the certificates already carried. What they do *not* do is +declare the counts the contract holds them to: the terminal column geometry lives in the PR200 +certificate, the colouring statistics in PR205's, and neither is inside the bodies. This derives +those declarations -- from the real bodies where they are countable (`used_frames` out of the +witness table, the selected gauge roles and their distinct frames out of the word), from the pinned +certificates where the certificate is the published source, and from the recomputed physical block +for the colouring -- and writes them as the export's own index bodies. Nothing here is typed in by +hand, and `--check` re-derives and compares. + + python3 -B bitindex.py # write the two index bodies + python3 -B bitindex.py --check # re-derive and compare with what is in the drop +""" +import gzip +import hashlib +import json +import sys +from pathlib import Path + +HERE = Path(__file__).resolve().parent +DROP = HERE / 'exports-bit' +BIT = HERE / 'references' / 'pr219-run1' / 'references' / 'pr200-bit.certificate.json' +PACK = HERE / 'references' / 'pr219-run1' / 'references' / 'pr205-packed.certificate.json' +REBUILT = HERE / 'exports-bit' / 'physical.rebuilt.json' # the packer's recomputed physical block +Q_BOUND = 2 ** 80 # PR200's rule: every q > 2^80 +sys.dont_write_bytecode = True +if hasattr(sys, 'set_int_max_str_digits'): + sys.set_int_max_str_digits(0) + + +def load(path): + raw = Path(path).read_bytes() + return json.loads(gzip.decompress(raw) if str(path).endswith('.gz') else raw) + + +def dump(path, payload): + """Deterministic bytes: sorted keys, one trailing newline, gzip without a timestamp.""" + raw = json.dumps(payload, indent=1, sort_keys=True).encode('utf-8') + b'\n' + Path(path).write_bytes(gzip.compress(raw, mtime=0) if str(path).endswith('.gz') else raw) + + +def build(): + word = load(DROP / 'word.json.gz') + frames = load(DROP / 'frames.json.gz')['frames'] + witnesses = load(DROP / 'prime-witnesses.json.gz') + bit = json.loads(BIT.read_text())['bit'] + pack = json.loads(PACK.read_text())['physical'] + physical = json.loads(REBUILT.read_text()) + + # --- counted from the bodies themselves ------------------------------------ + used = witnesses['frame_witnesses'] + assert len(used) == witnesses['total_used_frames'] == bit['prime_witnesses']['total_used_frames'] + assert len({row['basis_sha256'] for row in used}) == len(used) == witnesses['unique_used_bases'] + recipients = {b for _a, b in word['pairs']} + gauges = {z['role']: z for z in word['gauges']} + selected = {role: z for role, z in gauges.items() if role not in recipients} + assert len(selected) == pack['gauge_roles'] == bit['profile']['selected_roles'] == 2200 + assert {z['dim'] for z in selected.values()} == {20}, 'the selected family is rank 20' + gauge_frames = sorted({z['frame'] for z in selected.values()}) + assert len(gauge_frames) == pack['distinct_gauges'] == 220, 'distinct gauge frames' + order = {int(frame_id): i for i, frame_id in enumerate(sorted(frames))} + assert all(str(f) in frames for f in gauge_frames) + + # --- the pinned terminal geometry and the recomputed physical block -------- + terminal = bit['terminal']['formal'][0] + index = { + 'export': 'B1', + 'reading': 'the word bodies, declared: what each sibling hashes to, the terminal column ' + 'geometry the PR200 certificate published, and the selected gauge family the ' + 'packer asserts from this very word', + 'bodies': {'word.json.gz': anchors('word.json.gz'), + 'frames.json.gz': anchors('frames.json.gz'), + 'graph.json': anchors('graph.json'), + 'kchron.json': anchors('kchron.json'), + 'profile.json': anchors('profile.json')}, + 'input_sha256': witnesses['input_sha256'], + 'formal_columns': terminal['formal_columns'], + 'dirty_columns': terminal['dirty_columns'], + 'source_columns': terminal['source_columns'], + 'target_columns': terminal['target_columns'], + 'changed_operation_frames': bit['profile']['changed_operation_frames'], + 'used_frames': len(used), + 'selected_roles': len(selected), + 'gauge_frames': len(gauge_frames), + 'frames': len(frames), + 'foreign_producer_replays': bit['foreign_producer_replays'], + 'gauge_frame_map': {str(frame): order[int(frame)] for frame in gauge_frames}, + 'provenance': {'selected_roles': 'word.json.gz gauges minus the 1,760 recipient registers', + 'used_frames': 'prime-witnesses.json.gz frame_witnesses', + 'terminal_geometry': 'PR200 certificate bit.terminal.formal[0]', + 'distinct_gauges': 'PR205 certificate physical.distinct_gauges'}} + + charts = { + 'export': 'B3', + 'reading': 'the chart and incidence streams are PR205\'s published digests, reproduced from ' + 'these very word bodies; this index declares the colouring and chart statistics ' + 'that the streams carry but do not name, and the witness table A7 is held to', + 'streams': {'charts.json': anchors('charts.json'), + 'incidence.json': anchors('incidence.json'), + 'prime-witnesses.json.gz': anchors('prime-witnesses.json.gz')}, + 'used_frames': len(used), + 'physical_roles': physical['physical_roles'], + 'gauge_roles': physical['gauge_roles'], + 'distinct_gauges': physical['distinct_gauges'], + 'incidences': physical['incidences'], + 'banks': physical['banks'], + 'W': physical['W'], + 'm': physical['m'], + 'rank_mass': physical['rank_mass'], + 'deficit': physical['deficit'], + 'copies': physical['copies'], + 'terminal_sinks': physical['terminal_sinks'], + 'interior_splices': physical['interior_splices'], + 'max_chart_factors': physical['max_chart_factors'], + 'max_denominator': physical['max_den'], + 'max_abs_numerator': physical['max_num'], + 'swaps': physical['color_stats']['swaps'], + 'longest_swapped_path': physical['color_stats']['longest_swapped_path'], + 'color_stats': physical['color_stats'], + 'conflicting_assignment_rejected': physical['conflicting_assignment_rejected'], + 'patterns': physical['patterns'], + 'q_bound': Q_BOUND, + 'prime_witnesses': [{'witness': row['basis_sha256'], 'residual_factor': row['remaining_factor']} + for row in used], + 'provenance': {'streams': 'PR205 packed-diagonal-bit packing.py run on exports-bit/word.json.gz, ' + 'frames.json.gz (canonical streams, digests reproduced)', + 'prime_witnesses': 'prime-witnesses.json.gz frame_witnesses[].basis_sha256 and ' + 'remaining_factor', + 'q_bound': 'PR200 bit.prime_witnesses.rule: every q > 2^80'}} + return {'index.json.gz': index, 'charts.index.json.gz': charts} + + +def anchors(name): + raw = (DROP / name).read_bytes() + return {'sha256': hashlib.sha256(raw).hexdigest(), 'bytes': len(raw)} + + +def main(): + check = '--check' in sys.argv + derived = build() + if check: + for name, payload in derived.items(): + assert load(DROP / name) == payload, '%s differs from a fresh derivation' % name + print('the two index bodies re-derive exactly: ' + + ', '.join('%s (%d witnesses)' % (name, len(p.get('prime_witnesses', [])) or len(p)) + for name, p in derived.items())) + return + for name, payload in derived.items(): + dump(DROP / name, payload) + print('wrote %s/%s (%d bytes)' % (DROP.name, name, (DROP / name).stat().st_size)) + + +if __name__ == '__main__': + main() diff --git a/research/complex-bank-run3/certificate.json b/research/complex-bank-run3/certificate.json new file mode 100644 index 0000000000..3e57ae890b --- /dev/null +++ b/research/complex-bank-run3/certificate.json @@ -0,0 +1,2886 @@ +{ + "binding": "complex", + "bit_requirement": [ + { + "binding_at_the_requirement": "complex", + "bit_branch_short": false, + "bit_coarse_now": "728251090009891/1000000000000000000", + "bit_leaf_gain": "-7732316473295079570667060334898259823066154658013234139282580595702841889832933964476516783/728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783", + "bit_leaf_now": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "complex_branch_short": true, + "complex_coarse_gain_vs_ladder_top": "4206038502618/356053348255849", + "complex_coarse_gain_vs_rung1": "19600329657523/700918443859411", + "complex_coarse_now": "356053348255849/500000000000000000", + "kappa_at_the_bit_ceiling_decimal": 0.0007277211262868, + "kappa_at_the_bit_ceiling_now": "1819302815717/2500000000000000", + "reached_by_the_pair": "9/12500", + "required_bit_coarse_saving": "720518773536595920429332939665101740176933845341986765860717419404297158110167066035523483217/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "required_bit_leaf": "720518773516933/1000000000000000000", + "required_budget": "720518773516933/1000000000000000000", + "required_budget_decimal": 0.000720518773516933, + "required_complex_coarse_decimal": 0.000720518773516934, + "required_complex_coarse_saving": "360259386758467/500000000000000000", + "status": "needs a new bit word and more complex supply: both branches sit below the budget this target needs, and the bank ladder cannot raise the complex side again (its whole-bank criterion is exhausted at the top rung)", + "target": "9/12500", + "target_decimal": 0.00072 + }, + { + "binding_at_the_requirement": "bit", + "bit_branch_short": true, + "bit_coarse_now": "728251090009891/1000000000000000000", + "bit_leaf_gain": "2479092466823991158814771073900193352992649482442973984524157711588573123351896226169275913/80916787776692008841185228926099806647007350517557026015475842288411426876648103773830724087", + "bit_leaf_now": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "complex_branch_short": true, + "complex_coarse_gain_vs_ladder_top": "38456225679947/712106696511698", + "complex_coarse_gain_vs_rung1": "49644478332234/700918443859411", + "complex_coarse_now": "356053348255849/500000000000000000", + "kappa_at_the_bit_ceiling_decimal": 0.0007277211262868, + "kappa_at_the_bit_ceiling_now": "1819302815717/2500000000000000", + "reached_by_the_pair": "3/4000", + "required_bit_coarse_saving": "750562922211306920429332939665101740176933845341986765860717419404297158110167066035523483217/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "required_bit_leaf": "187640730547911/250000000000000000", + "required_budget": "187640730547911/250000000000000000", + "required_budget_decimal": 0.000750562922191644, + "required_complex_coarse_decimal": 0.000750562922191645, + "required_complex_coarse_saving": "150112584438329/200000000000000000", + "status": "needs a new bit word and more complex supply: both branches sit below the budget this target needs, and the bank ladder cannot raise the complex side again (its whole-bank criterion is exhausted at the top rung)", + "target": "3/4000", + "target_decimal": 0.00075 + }, + { + "binding_at_the_requirement": "bit", + "bit_branch_short": true, + "bit_coarse_now": "728251090009891/1000000000000000000", + "bit_leaf_gain": "72389422419699920429332939665101740176933845341986765860717419404297158110167066035523483217/728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783", + "bit_leaf_now": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "complex_branch_short": true, + "complex_coarse_gain_vs_ladder_top": "88533815898231/712106696511698", + "complex_coarse_gain_vs_rung1": "99722068550518/700918443859411", + "complex_coarse_now": "356053348255849/500000000000000000", + "kappa_at_the_bit_ceiling_decimal": 0.0007277211262868, + "kappa_at_the_bit_ceiling_now": "1819302815717/2500000000000000", + "reached_by_the_pair": "1/1250", + "required_bit_coarse_saving": "800640512429590920429332939665101740176933845341986765860717419404297158110167066035523483217/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "required_bit_leaf": "100080064051241/125000000000000000", + "required_budget": "100080064051241/125000000000000000", + "required_budget_decimal": 0.000800640512409928, + "required_complex_coarse_decimal": 0.000800640512409929, + "required_complex_coarse_saving": "800640512409929/1000000000000000000", + "status": "needs a new bit word and more complex supply: both branches sit below the budget this target needs, and the bank ladder cannot raise the complex side again (its whole-bank criterion is exhausted at the top rung)", + "target": "1/1250", + "target_decimal": 0.0008 + }, + { + "binding_at_the_requirement": "bit", + "bit_branch_short": true, + "bit_coarse_now": "728251090009891/1000000000000000000", + "bit_leaf_gain": "272749911010773920429332939665101740176933845341986765860717419404297158110167066035523483217/728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783", + "bit_leaf_now": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "complex_branch_short": true, + "complex_coarse_gain_vs_ladder_top": "288894304489305/712106696511698", + "complex_coarse_gain_vs_rung1": "300082557141592/700918443859411", + "complex_coarse_now": "356053348255849/500000000000000000", + "kappa_at_the_bit_ceiling_decimal": 0.0007277211262868, + "kappa_at_the_bit_ceiling_now": "1819302815717/2500000000000000", + "reached_by_the_pair": "1/1000", + "required_bit_coarse_saving": "1001001001020664920429332939665101740176933845341986765860717419404297158110167066035523483217/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "required_bit_leaf": "500500500500501/500000000000000000", + "required_budget": "500500500500501/500000000000000000", + "required_budget_decimal": 0.001001001001001002, + "required_complex_coarse_decimal": 0.001001001001001003, + "required_complex_coarse_saving": "1001001001001003/1000000000000000000", + "status": "needs a new bit word and more complex supply: both branches sit below the budget this target needs, and the bank ladder cannot raise the complex side again (its whole-bank criterion is exhausted at the top rung)", + "target": "1/1000", + "target_decimal": 0.001 + } + ], + "blocked_on": { + "complex_family_inventory": null, + "complex_family_inventory_note": "the only occurrence inventory in the pins is #219's bit-side inputs/absorbed-occurrences.json (rank 22); the complex rank-11 family of PR224, and the rank-16 and rank-20 families this package absorbs, have no such enumeration, so the item-to-block map of C1 has no starting inventory", + "complex_supplier_has_bank_keys": [], + "frontier_certificate_has_bank_keys": [], + "pinned_bit_bank_construction": { + "bank_controls_keys": [ + "formal_columns_per_case", + "rejected", + "weighted_partition_cases" + ], + "distinct_gauges": 220, + "gauge_roles": 2200, + "note": "the pinned construction banks the bit word's selected entrance-gauge exteriors into width-72 banks; it is the only bank construction in the pins", + "physical_banks": 45842, + "physical_copies": 3, + "source": "references/pr219-run1/references/pr205-packed.certificate.json (#205)" + } + }, + "calibrations": { + "frontier": { + "a_bit": "4375408149318106538866216854671930632866706725794304565219529058788314814256861959639757/6400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "a_complex": "700918443859411/1000000000000000000", + "binding": "bit", + "equal": true, + "published": "1366380910073/2000000000000000", + "reproduced": "1366380910073/2000000000000000" + }, + "run1": { + "binding": "complex", + "bit_coarse_after": "728251090009891/1000000000000000000", + "bit_leaf": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "ceiling_gap": "852386528394998651/1000700918443859411000000000000000000", + "complex_ceiling": "700918443859411/1000700918443859411", + "complex_coarse": "700918443859411/1000000000000000000", + "conclusion": "rung 1 already sits on the complex branch ceiling, so every further rung has to raise the complex supplier's own coarse saving", + "equal": true, + "published": "700427501305159/1000000000000000000", + "reproduced": "700427501305159/1000000000000000000" + }, + "run2": { + "coarse": "708793603125109/1000000000000000000", + "equal": true, + "note": "rebuilt here by this package's own ledger module from the pinned complex profile, not imported", + "published": "354145785295363/500000000000000000", + "reproduced": "708793603125109/1000000000000000000" + } + }, + "comparison": { + "frontier": "1366380910073/2000000000000000", + "note": "the volume-criterion rows are the accounting the criterion gives; the padded prototype is the schedule a width-66 bank actually admits, and it is higher, so the top of the ladder is the padded rung 4", + "padded_top": "711599961413937/1000000000000000000", + "pr208_priced_rung2": "3541457/5000000000", + "rung1": "700427501305159/1000000000000000000", + "rung2": "354145785295363/500000000000000000", + "volume_criterion_top": "355587847933979/500000000000000000" + }, + "conservative_variant": { + "certified_moment": "700918443859411/1000000000000000000", + "delta": "-43859411/1000000000000000000", + "note": "PR193 publishes 219037/312500000 = 7.009184e-4, its value on the 10^-10 grid, 4.3859411e-11 below the 10^-18 certified paid moment of the same profile; the ladder above is priced on the certified moment, which #207 and #219's rung 1 also price. A reviewer who prefers the coarser field sees a smaller top rung: recorded here rather than hidden.", + "supplier_field": "219037/312500000", + "top_kappa_on_the_field": "351867950201249/500000000000000000" + }, + "construction": { + "copies": 3, + "inventories": { + "11": { + "address_rule": "item i -> bank i // k, block i % k, offset (i % k) * rank", + "bank_table_digest": "fb9bd2d17f69823324ef9212248ba2741be5f7dd504cfb61a9992872b32f0a59", + "banks": 531, + "capacity_per_bank": 6, + "children_per_vertex": 1062, + "copies": 3, + "family": 11, + "first_addresses": [ + { + "bank": 0, + "block": 0, + "item": 0, + "offset": 0, + "padding_registers": [], + "registers": 11 + }, + { + "bank": 0, + "block": 1, + "item": 1, + "offset": 11, + "padding_registers": [], + "registers": 11 + } + ], + "items": 3186, + "last_address": { + "bank": 530, + "block": 5, + "item": 3185, + "offset": 55, + "padding_registers": [], + "registers": 11 + }, + "padding_blocks_per_bank": 0, + "padding_per_bank": 0, + "padding_registers": 0 + }, + "16": { + "address_rule": "item i -> bank i // k, block i % k, offset (i % k) * rank", + "bank_table_digest": "f96efd45d9d912cec54d9d1633fdc47af34e05948cd8e3ab4305432e0ce35fbb", + "banks": 198, + "capacity_per_bank": 4, + "children_per_vertex": 264, + "copies": 3, + "family": 16, + "first_addresses": [ + { + "bank": 0, + "block": 0, + "item": 0, + "offset": 0, + "padding_registers": [], + "registers": 16 + }, + { + "bank": 0, + "block": 1, + "item": 1, + "offset": 16, + "padding_registers": [], + "registers": 16 + } + ], + "items": 792, + "last_address": { + "bank": 197, + "block": 3, + "item": 791, + "offset": 48, + "padding_registers": [], + "registers": 16 + }, + "padding_blocks_per_bank": 2, + "padding_per_bank": 2, + "padding_registers": 396 + }, + "20": { + "address_rule": "item i -> bank i // k, block i % k, offset (i % k) * rank", + "bank_table_digest": "f9d9567b4b41d5ba567aafff43927d568820792667daf6590fb00a3478890a77", + "banks": 66, + "capacity_per_bank": 3, + "children_per_vertex": 66, + "copies": 3, + "family": 20, + "first_addresses": [ + { + "bank": 0, + "block": 0, + "item": 0, + "offset": 0, + "padding_registers": [], + "registers": 20 + }, + { + "bank": 0, + "block": 1, + "item": 1, + "offset": 20, + "padding_registers": [], + "registers": 20 + } + ], + "items": 198, + "last_address": { + "bank": 65, + "block": 2, + "item": 197, + "offset": 40, + "padding_registers": [], + "registers": 20 + }, + "padding_blocks_per_bank": 6, + "padding_per_bank": 6, + "padding_registers": 396 + } + }, + "ledger_cross_check": { + "children": 634473, + "criterion_exhausted": true, + "rank_mass": 2329866, + "retained_stock": 35361, + "stock_drops": [ + 531, + 198, + 66 + ] + }, + "pins_gap": { + "complex_supplier_bank_keys": [], + "complex_supplier_occurrence_keys": [], + "complex_supplier_status": "Exact local invertible flow, exact all-column fresh identity, paid source controls, target read chains, and integer histogram certified. A literal globally renumbered operation program is not exported; dense initial dirty-response subtraction is defined by the exact certified flow.", + "complex_supplier_status_says_no_operation_program": true, + "pinned_bank_construction": { + "bank_controls_keys": [ + "formal_columns_per_case", + "rejected", + "weighted_partition_cases" + ], + "gauge_roles": 2200, + "note": "width-72 entrance-gauge banks on the bit word: the only bank construction in the pins, and the one whose block/normalizer pattern a complex-side construction would have to mirror without inheriting", + "path": "references/pr219-run1/references/pr205-packed.certificate.json", + "physical_banks": 45842 + }, + "pinned_item_inventory": { + "counts_per_vertex": { + "ledger_bin_22_per_vertex": 6672, + "ledger_bin_22_three_copies": 20016, + "normalization_factor_in_row": 3, + "physical_internal_H": 1344, + "physical_target_Y": 0, + "source_chain_src": 880 + }, + "note": "the only per-child inventory in the pins: it is the bit word's rank-22 family, and it is what closes #219 R1. The shape the complex side owes is this shape -- one entry per child with its chain/frame provenance.", + "path": "references/pr219-run1/inputs/absorbed-occurrences.json", + "per_vertex_keys": [ + "H", + "H_center", + "Y", + "src" + ], + "top_level_keys": [ + "counts_per_vertex", + "occurrences_per_vertex", + "row_identity_per_vertex", + "source_pins", + "status" + ] + } + }, + "rungs": [ + 11, + 16, + 20 + ], + "status": "C1 combinatorial half and C5-C7 inventories INSTANCED at the schedule level: every item of every absorbed family has a bank, a block and an offset, and the ledger the schedule induces is re-derived. The physical half of C1 (the normalizer) and C2-C4 (formal columns, charts and prime witnesses, moment envelope parity) remain open: the pins export the item counts, not the residual projectors the normalizer must move.", + "still_owed": { + "C1_physical": "the normalizer sending each item's residual projector to its block: the addresses exist here (bank, block, offset), the projectors the pinned certificates export do not", + "C2": "formal columns of the modified complex word after re-assignment", + "C3": "charts, routing and prime witnesses for the new complex blocks", + "C4": "complex moment-envelope parity for the re-assigned word", + "C5": "per-child provenance for the rank-11 family: the item addresses exist, the chain/frame identity of each child does not (see the gap)", + "C6": "the same for the rank-16 family", + "C7": "the same for the rank-20 family" + }, + "totals": { + "banks": 795, + "items": 4176, + "padding_registers": 792, + "padding_share_of_the_kept_bin": "44/14589" 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false, + "volume": 3960, + "whole": true + } + ], + "final_eligibility": [], + "final_row": { + "W": 35373, + "children": 635265, + "deficit": 3960, + "families": 17, + "mass": 2330658, + "maxchild": 19 + }, + "final_saving": "711681826686289/1000000000000000000", + "ladder": [ + { + "banks": 531, + "banks_one_copy": "177", + "blocks_per_bank": "6", + "children_after": 636255, + "children_before": 639441, + "family": 11, + "mass_after": 2347290, + "mass_before": 2382336, + "maxchild_after": 20, + "maxchild_before": 20, + "next_excluded": true, + "rank_divides_width": true, + "saving": "708793603125109/1000000000000000000", + "share_of_ledger": "177/12032", + "stock_after": 35625, + "stock_before": 36156, + "stock_drop": 531, + "volume": 35046 + }, + { + "banks": 192, + "banks_one_copy": "64", + "blocks_per_bank": null, + "children_after": 635463, + "children_before": 636255, + "family": 16, + "mass_after": 2334618, + "mass_before": 2347290, + "maxchild_after": 20, + "maxchild_before": 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The kappa below is conditional on those and is not a completed finite witness.", + "supplier_density": { + "corpus": { + "below_pinned_count": 0, + "below_pinned_sample": [], + "least_dense_overall": { + "W": 12052, + "deficit": 1320, + "density": "3008/3013", + "density_decimal": 0.9983405243942914, + "eligible_at_that_modulus": [ + 11, + 16, + 20 + ], + "families": 20, + "m": 66, + "modulus_headroom": 0, + "path": "/corpus/rows/0", + "rank_mass": 794112, + "smallest_admissible_modulus": 66, + "source": "research/complex-bank-run3/rank3-stability.json", + "tiling_mass": 17490, + "tiling_share": "265/12032", + "tiling_share_decimal": 0.022024601063829786 + }, + "pinned_density": "3008/3013", + "profiles_scanned": 22, + "ranked": [ + { + "W": 9854325632000, + "deficit": 170237516800, + "density": "476821993487/476822208000", + "density_decimal": 0.999999550119528, + "eligible_at_that_modulus": [ + 6, + 8, + 10, + 12, + 16, + 20, + 26, + 28, + 36, + 882, + 36402, + 38256, + 38340 + ], + 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"tiling_share_decimal": 0.2101630440839404 + } + ], + "root": "../.." + }, + "curve": [ + { + "banks": 88, + "deficit": 1344, + "density": "4136/4143", + "density_decimal": 0.9983104030895487, + "eligible_families": [ + 16 + ], + "kappa": "1819302815717/2500000000000000", + "mass_removed": 4224, + "modulus": 48, + "pinned_density": "3008/3013", + "priced": true, + "retained_mass": 789888, + "retained_stock": 16484, + "saving": "25836948211799/31250000000000000", + "status": "priced (synthetic row: same shape, this modulus and stock)", + "stock_min": 16572, + "tiling_share": "1/188", + "tiling_share_decimal": 0.005319148936170213 + }, + { + "banks": 5707, + "deficit": 1362, + "density": "132352/132579", + "density_decimal": 0.998287813303766, + "eligible_families": [ + 1, + 6, + 12, + 18 + ], + "kappa": null, + "mass_removed": 308178, + "modulus": 54, + "pinned_density": "3008/3013", + "priced": false, + "saving": null, + "status": "the padding draw exceeds the kept rank-1 bin", + 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"retained_stock": 11787, + "saving": "356053348255849/500000000000000000", + "status": "priced (synthetic row: same shape, this modulus and stock)", + "stock_min": 12052, + "tiling_share": "265/12032", + "tiling_share_decimal": 0.022024601063829786 + }, + { + "banks": 0, + "deficit": 1344, + "density": "4136/4143", + "density_decimal": 0.9983104030895487, + "eligible_families": [], + "kappa": null, + "mass_removed": 0, + "modulus": 72, + "pinned_density": "3008/3013", + "priced": false, + "saving": null, + "status": "nothing tiles, or the stock cannot retire the banks", + "stock_min": 11048, + "tiling_share": "0", + "tiling_share_decimal": 0.0 + }, + { + "banks": 884, + "deficit": 1368, + "density": "33088/33145", + "density_decimal": 0.9982802836023533, + "eligible_families": [ + 12, + 14 + ], + "kappa": "706360069762831/1000000000000000000", + "mass_removed": 74256, + "modulus": 84, + "pinned_density": "3008/3013", + "priced": true, + "retained_mass": 719856, + "retained_stock": 8586, + "saving": "353429683497307/500000000000000000", + "status": "priced (synthetic row: same shape, this modulus and stock)", + "stock_min": 9470, + "tiling_share": "1547/16544", + "tiling_share_decimal": 0.09350822050290135 + }, + { + "banks": 44, + "deficit": 1344, + "density": "4136/4143", + "density_decimal": 0.9983104030895487, + "eligible_families": [ + 16 + ], + "kappa": "617982590757721/1000000000000000000", + "mass_removed": 4224, + "modulus": 96, + "pinned_density": "3008/3013", + "priced": true, + "retained_mass": 789888, + "retained_stock": 8242, + "saving": "309182364697613/500000000000000000", + "status": "priced (synthetic row: same shape, this modulus and stock)", + "stock_min": 8286, + "tiling_share": "1/188", + "tiling_share_decimal": 0.005319148936170213 + } + ], + "note": "Two measurements, both read off the tree rather than assumed. (1) Every ledger-bearing certificate in the repository is scored on the same numbers: modulus, density mass/(m*W), the smallest modulus the row admits and the mass share that tiles whole banks there. No poseable ledger is less dense than the complex word priced here, and that word is itself the least dense one found, so the narrower modulus the width scan wants cannot be reached by reusing a supplier that already exists anywhere in the pins. (2) Holding this word's own bin shape and occupancy fixed and varying only the modulus, the cheapest stock that poses the row is priced: at widths 48, 54 and 60 the complex branch stops binding altogether and the kappa rises to the bit leaf's own ceiling, while the pinned width 72 no longer tiles and every wider word is strictly worse. The curve is synthetic -- same shape, invented width and stock, priced by the pinned engine on a row no supplier in the pins owns -- so it specifies what a word would have to look like; it is not a result about an existing word. Its width-66 point is the calibration: there the stock it requires is exactly the stock the pinned ledger carries and it reproduces this certificate's top kappa.", + "pinned_density": "3008/3013" + }, + "tiling": { + "certified_precedent": { + "banks": 45842, + "copies": 3, + "note": "the only bank construction in the pins: width-72 entrance-gauge banks filled by eighteen 4-coordinate or three 24-coordinate cores (a rank-60 exterior family, 396,000 three-copy registers = 5,500 banks of its own volume)", + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "width": 72 + }, + "copies": 3, + "families": { + "11": { + "capacity_minimum_banks": 531, + "capacity_per_bank": 6, + "divides_width": true, + "fits_the_priced_banks": true, + "items_per_priced_bank": "6", + "padding_per_bank": 0, + "padding_registers": 0, + "per_vertex": 1062, + "priced_banks": 531, + "registers_per_block": 11, + "shortfall_banks": 0, + "three_copies": 3186, + "volume_registers": 35046, + "whole_bank_volume": true + }, + "16": { + "capacity_minimum_banks": 198, + "capacity_per_bank": 4, + "divides_width": false, + "fits_the_priced_banks": false, + "items_per_priced_bank": "33/8", + "padding_per_bank": 2, + "padding_registers": 396, + "per_vertex": 264, + "priced_banks": 192, + "registers_per_block": 16, + "shortfall_banks": 6, + "three_copies": 792, + "volume_registers": 12672, + "whole_bank_volume": true + }, + "20": { + "capacity_minimum_banks": 66, + "capacity_per_bank": 3, + "divides_width": false, + "fits_the_priced_banks": false, + "items_per_priced_bank": "33/10", + "padding_per_bank": 6, + "padding_registers": 396, + "per_vertex": 66, + "priced_banks": 60, + "registers_per_block": 20, + "shortfall_banks": 6, + "three_copies": 198, + "volume_registers": 3960, + "whole_bank_volume": true + } + }, + "findings": { + "mixed_uniform_tilings": 0, + "rank_11_patterns": 4, + "rank_11_tightest_banks": 3186, + "rank_11_tiles_alone": true, + "ranks_16_20_tile_alone_only_above_their_priced_bank_counts": true, + "verdict": "no admissible uniform tiling of a width-66 bank absorbs two whole bins at once, and neither rank 16 nor rank 20 fits the bank count its own volume criterion prices" + }, + "ladder": [ + 11, + 16, + 20 + ], + "obligations": { + "C1": "unchanged: the normalizer and item-to-block maps the bank construction owes", + "T1": "the enumeration above: the mixed tiling ranks 16 and 20 owe has no uniform solution, so it must remove part of a retained bin (padding) or use a different bank width -- the pins state neither, so the rungs above rung 2 stay priced rather than instantiated" + }, + "one_copy_bins": { + "11": 1062, + "16": 264, + "20": 66 + }, + "source_supplier": "pr193-source-assisted-v4.certificate.json", + "subsets": { + "11": { + "admissible": [ + { + "banks": 531, + "blocks": { + "11": 6 + }, + "padding_per_bank": 0, + "padding_registers": 0, + "registers_used": 66 + }, + { + "banks": 1062, + "blocks": { + "11": 3 + }, + "padding_per_bank": 33, + "padding_registers": 35046, + "registers_used": 33 + }, + { + "banks": 1593, + "blocks": { + "11": 2 + }, + "padding_per_bank": 44, + "padding_registers": 70092, + "registers_used": 22 + }, + { + "banks": 3186, + "blocks": { + "11": 1 + }, + "padding_per_bank": 55, + "padding_registers": 175230, + "registers_used": 11 + } + ], + "common_divisor": 3186, + "families": [ + 11 + ] + }, + "11,16": { + "admissible": [], + "closest_attempt": { + "banks": 18, + "blocks": { + "11": 177, + "16": 44 + }, + "overflow": 2585, + "registers_used": 2651 + }, + "common_divisor": 18, + "families": [ + 11, + 16 + ] + }, + "11,16,20": { + "admissible": [], + "closest_attempt": { + "banks": 18, + "blocks": { + "11": 177, + "16": 44, + "20": 11 + }, + "overflow": 2805, + "registers_used": 2871 + }, + "common_divisor": 18, + "families": [ + 11, + 16, + 20 + ] + }, + "11,20": { + "admissible": [], + "closest_attempt": { + "banks": 18, + "blocks": { + "11": 177, + "20": 11 + }, + "overflow": 2101, + "registers_used": 2167 + }, + "common_divisor": 18, + "families": [ + 11, + 20 + ] + }, + "16": { + "admissible": [ + { + "banks": 198, + "blocks": { + "16": 4 + }, + "padding_per_bank": 2, + "padding_registers": 396, + "registers_used": 64 + }, + { + "banks": 264, + "blocks": { + "16": 3 + }, + "padding_per_bank": 18, + "padding_registers": 4752, + "registers_used": 48 + }, + { + "banks": 396, + "blocks": { + "16": 2 + }, + "padding_per_bank": 34, + "padding_registers": 13464, + "registers_used": 32 + }, + { + "banks": 792, + "blocks": { + "16": 1 + }, + "padding_per_bank": 50, + "padding_registers": 39600, + "registers_used": 16 + } + ], + "common_divisor": 792, + "families": [ + 16 + ] + }, + "16,20": { + "admissible": [], + "closest_attempt": { + "banks": 198, + "blocks": { + "16": 4, + "20": 1 + }, + "overflow": 18, + "registers_used": 84 + }, + "common_divisor": 198, + "families": [ + 16, + 20 + ] + }, + "20": { + "admissible": [ + { + "banks": 66, + "blocks": { + "20": 3 + }, + "padding_per_bank": 6, + "padding_registers": 396, + "registers_used": 60 + }, + { + "banks": 99, + "blocks": { + "20": 2 + }, + "padding_per_bank": 26, + "padding_registers": 2574, + "registers_used": 40 + }, + { + "banks": 198, + "blocks": { + "20": 1 + }, + "padding_per_bank": 46, + "padding_registers": 9108, + "registers_used": 20 + } + ], + "common_divisor": 198, + "families": [ + 20 + ] + } + }, + "three_copy_items": { + "11": 3186, + "16": 792, + "20": 198 + }, + "width": 66 + }, + "top": { + "banks": 795, + "banks_by_volume_criterion": 783, + "binding": "complex", + "ceiling": "356053348255849/500356053348255849", + "ceiling_gap": "334778761129632487/500356053348255849000000000000000000", + "children": 634473, + "coarse": "356053348255849/500000000000000000", + "eligibility_exhausted": true, + "families_absorbed": [ + 11, + 16, + 20 + ], + "families_left": 17, + "kappa": "711599961413937/1000000000000000000", + "largest_child": 19, + "note": "no family of the remaining complex ledger has a whole-bank volume, so the accounting criterion the built rungs use cannot be applied again without a different bank width or a mixed tiling that reopens the volume condition; the T1 scan of this certificate shows the mixed tiling has no uniform solution either, and that rungs 3 and 4 are priced at 192 and 60 banks where their own capacities require 198 and 66", + "rank_mass": 2329866, + "schedule": "padded prototype (prototype66.py): 531 + 198 + 66 = 795 banks, the rank-16 and rank-20 banks padded with 2 and 6 registers of retained blocks", + "stock": 35361 + }, + "weighted_ceiling": { + "gain_vs_top": "16121164872863/711599961413937", + "kappa_suppliers_admit_today": "1819302815717/2500000000000000", + "kappa_suppliers_admit_today_decimal": 0.0007277211262868, + "note": "What the complex side would pay if a word of width 48-60 with this shape and occupancy existed: the complex branch stops binding and the kappa rises to the budget the bit leaf itself allows. That is the whole of the complex headroom left, and it is still short of every target, which is why the bit word is the wall and why the bit requirement above is the next real step." + }, + "width_scan": { + "100": { + "blocks_per_bank": { + "10": 10 + }, + "deficit": 1233264, + "density": "49632/75325", + "density_decimal": 0.6589047461002323, + "detail": { + "10": { + "banks": 837, + "capacity_per_bank": 10, + "children": 8370, + "mass_family": 83700, + "mass_removed": 83700, + "padding_registers": 0, + "rank": 10 + } + }, + "eligible_banks": 837, + "eligible_families": [ + 10 + ], + "eligible_mass": 83700, + "kappa": null, + "mass_over_capacity_ratio": "49632/75325", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 100 + }, + "108": { + "blocks_per_bank": { + "10": 10, + "12": 9, + "2": 54, + "4": 27 + }, + "deficit": 1522512, + "density": "16544/27117", + "density_decimal": 0.6100969871298447, + "detail": { + "10": { + "banks": 837, + "capacity_per_bank": 10, + "children": 8370, + "mass_family": 83700, + "mass_removed": 90396, + "padding_registers": 6696, + "rank": 10 + }, + "12": { + "banks": 1197, + "capacity_per_bank": 9, + "children": 10773, + "mass_family": 129276, + "mass_removed": 129276, + "padding_registers": 0, + "rank": 12 + }, + "2": { + "banks": 2213, + "capacity_per_bank": 54, + "children": 119502, + "mass_family": 239004, + "mass_removed": 239004, + "padding_registers": 0, + "rank": 2 + }, + "4": { + "banks": 1403, + "capacity_per_bank": 27, + "children": 37881, + "mass_family": 151524, + "mass_removed": 151524, + "padding_registers": 0, + "rank": 4 + } + }, + "eligible_banks": 5650, + "eligible_families": [ + 2, + 4, + 10, + 12 + ], + "eligible_mass": 610200, + "kappa": null, + "mass_over_capacity_ratio": "16544/27117", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 108 + }, + "120": { + "blocks_per_bank": { + "20": 6 + }, + "deficit": 1956384, + "density": "8272/15065", + "density_decimal": 0.5490872884168603, + "detail": { + "20": { + "banks": 33, + "capacity_per_bank": 6, + "children": 198, + "mass_family": 3960, + "mass_removed": 3960, + "padding_registers": 0, + "rank": 20 + } + }, + "eligible_banks": 33, + "eligible_families": [ + 20 + ], + "eligible_mass": 3960, + "kappa": null, + "mass_over_capacity_ratio": "8272/15065", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 120 + }, + "132": { + "blocks_per_bank": { + "16": 8, + "20": 6 + }, + "deficit": 2390256, + "density": "1504/3013", + "density_decimal": 0.4991702621971457, + "detail": { + "16": { + "banks": 99, + "capacity_per_bank": 8, + "children": 792, + "mass_family": 12672, + "mass_removed": 13068, + "padding_registers": 396, + "rank": 16 + }, + "20": { + "banks": 33, + "capacity_per_bank": 6, + "children": 198, + "mass_family": 3960, + "mass_removed": 4356, + "padding_registers": 396, + "rank": 20 + } + }, + "eligible_banks": 132, + "eligible_families": [ + 16, + 20 + ], + "eligible_mass": 17424, + "kappa": null, + "mass_over_capacity_ratio": "1504/3013", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 132 + }, + "144": { + "blocks_per_bank": { + "16": 9 + }, + "deficit": 2824128, + "density": "4136/9039", + "density_decimal": 0.45757274034738354, + "detail": { + "16": { + "banks": 88, + "capacity_per_bank": 9, + "children": 792, + "mass_family": 12672, + "mass_removed": 12672, + "padding_registers": 0, + "rank": 16 + } + }, + "eligible_banks": 88, + "eligible_families": [ + 16 + ], + "eligible_mass": 12672, + "kappa": null, + "mass_over_capacity_ratio": "4136/9039", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 144 + }, + "48": { + "blocks_per_bank": { + "16": 3 + }, + "deficit": -646848, + "density": "4136/3013", + "density_decimal": 1.3727182210421507, + "detail": { + "16": { + "banks": 264, + "capacity_per_bank": 3, + "children": 792, + "mass_family": 12672, + "mass_removed": 12672, + "padding_registers": 0, + "rank": 16 + } + }, + "eligible_banks": 264, + "eligible_families": [ + 16 + ], + "eligible_mass": 12672, + "kappa": null, + "poseable": false, + "priced": false, + "saving": null, + "status": "the pinned row is not poseable (rank mass >= w * W)", + "width": 48 + }, + "54": { + "blocks_per_bank": { + "1": 54, + "10": 5, + "11": 4, + "12": 4, + "18": 3, + "2": 27, + "4": 13, + "5": 10, + "6": 9 + }, + "deficit": -429912, + "density": "33088/27117", + "density_decimal": 1.2201939742596895, + "detail": { + "1": { + "banks": 4863, + "capacity_per_bank": 54, + "children": 262602, + "mass_family": 262602, + "mass_removed": 262602, + "padding_registers": 0, + "rank": 1 + }, + "10": { + "banks": 1674, + "capacity_per_bank": 5, + "children": 8370, + "mass_family": 83700, + "mass_removed": 90396, + "padding_registers": 6696, + "rank": 10 + }, + "11": { + "banks": 797, + "capacity_per_bank": 4, + "children": 3186, + "mass_family": 35046, + "mass_removed": 43038, + "padding_registers": 7992, + "rank": 11 + }, + "12": { + "banks": 2694, + "capacity_per_bank": 4, + "children": 10773, + "mass_family": 129276, + "mass_removed": 145476, + "padding_registers": 16200, + "rank": 12 + }, + "18": { + "banks": 7959, + "capacity_per_bank": 3, + "children": 23877, + "mass_family": 429786, + "mass_removed": 429786, + "padding_registers": 0, + "rank": 18 + }, + "2": { + "banks": 4426, + "capacity_per_bank": 27, + "children": 119502, + "mass_family": 239004, + "mass_removed": 239004, + "padding_registers": 0, + "rank": 2 + }, + "4": { + "banks": 2914, + "capacity_per_bank": 13, + "children": 37881, + "mass_family": 151524, + "mass_removed": 157356, + "padding_registers": 5832, + "rank": 4 + }, + "5": { + "banks": 1755, + "capacity_per_bank": 10, + "children": 17550, + "mass_family": 87750, + "mass_removed": 94770, + "padding_registers": 7020, + "rank": 5 + }, + "6": { + "banks": 1605, + "capacity_per_bank": 9, + "children": 14445, + "mass_family": 86670, + "mass_removed": 86670, + "padding_registers": 0, + "rank": 6 + } + }, + "eligible_banks": 28687, + "eligible_families": [ + 1, + 2, + 4, + 5, + 6, + 10, + 11, + 12, + 18 + ], + "eligible_mass": 1549098, + "kappa": null, + "poseable": false, + "priced": false, + "saving": null, + "status": "the pinned row is not poseable (rank mass >= w * W)", + "width": 54 + }, + "58": { + "blocks_per_bank": {}, + "deficit": -285288, + "density": "99264/87377", + "density_decimal": 1.1360426656900557, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + "eligible_mass": 0, + "kappa": null, + "poseable": false, + "priced": false, + "saving": null, + "status": "the pinned row is not poseable (rank mass >= w * W)", + "width": 58 + }, + "60": { + "blocks_per_bank": { + "10": 6, + "20": 3 + }, + "deficit": -212976, + "density": "16544/15065", + "density_decimal": 1.0981745768337206, + "detail": { + "10": { + "banks": 1395, + "capacity_per_bank": 6, + "children": 8370, + "mass_family": 83700, + "mass_removed": 83700, + "padding_registers": 0, + "rank": 10 + }, + "20": { + "banks": 66, + "capacity_per_bank": 3, + "children": 198, + "mass_family": 3960, + "mass_removed": 3960, + "padding_registers": 0, + "rank": 20 + } + }, + "eligible_banks": 1461, + "eligible_families": [ + 10, + 20 + ], + "eligible_mass": 87660, + "kappa": null, + "poseable": false, + "priced": false, + "saving": null, + "status": "the pinned row is not poseable (rank 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4356, + "padding_registers": 396, + "rank": 20 + } + }, + "eligible_banks": 795, + "eligible_families": [ + 11, + 16, + 20 + ], + "eligible_mass": 52470, + "kappa": "711599961413937/1000000000000000000", + "padding_registers": 792, + "poseable": true, + "priced": true, + "saving": "356053348255849/500000000000000000", + "status": "priced: the pinned word, this package's padded schedule", + "width": 66 + }, + "67": { + "blocks_per_bank": {}, + "deficit": 40116, + "density": "198528/201871", + "density_decimal": 0.9834399195525856, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + "eligible_mass": 0, + "kappa": null, + "poseable": true, + "priced": false, + "saving": null, + "status": "no family satisfies w | rank * children", + "width": 67 + }, + "68": { + "blocks_per_bank": {}, + "deficit": 76272, + "density": "49632/51221", + "density_decimal": 0.9689775677944593, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + "eligible_mass": 0, + "kappa": null, + "poseable": true, + "priced": false, + "saving": null, + "status": "no family satisfies w | rank * children", + "width": 68 + }, + "69": { + "blocks_per_bank": { + "4": 17 + }, + "deficit": 112428, + "density": "66176/69299", + "density_decimal": 0.9549344146380179, + "detail": { + "4": { + "banks": 2229, + "capacity_per_bank": 17, + "children": 37881, + "mass_family": 151524, + "mass_removed": 153801, + "padding_registers": 2277, + "rank": 4 + } + }, + "eligible_banks": 2229, + "eligible_families": [ + 4 + ], + "eligible_mass": 153801, + "kappa": null, + "mass_over_capacity_ratio": "66176/69299", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 69 + }, + "70": { + "blocks_per_bank": {}, + "deficit": 148584, + "density": "99264/105455", + "density_decimal": 0.9412924944289033, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + 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"padding_registers": 792, + "rank": 20 + }, + "8": { + "banks": 1531, + "capacity_per_bank": 9, + "children": 13779, + "mass_family": 110232, + "mass_removed": 110232, + "padding_registers": 0, + "rank": 8 + } + }, + "eligible_banks": 1795, + "eligible_families": [ + 8, + 16, + 20 + ], + "eligible_mass": 129240, + "kappa": null, + "mass_over_capacity_ratio": "8272/9039", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 72 + }, + "73": { + "blocks_per_bank": {}, + "deficit": 257052, + "density": "198528/219949", + "density_decimal": 0.902609241233195, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + "eligible_mass": 0, + "kappa": null, + "poseable": true, + "priced": false, + "saving": null, + "status": "no family satisfies w | rank * children", + "width": 73 + }, + "74": { + "blocks_per_bank": {}, + "deficit": 293208, + "density": "99264/111481", + "density_decimal": 0.8904118190543681, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + "eligible_mass": 0, + "kappa": null, + "poseable": true, + "priced": false, + "saving": null, + "status": "no family satisfies w | rank * children", + "width": 74 + }, + "75": { + "blocks_per_bank": { + "10": 7, + "5": 15 + }, + "deficit": 329364, + "density": "66176/75325", + "density_decimal": 0.8785396614669765, + "detail": { + "10": { + "banks": 1196, + "capacity_per_bank": 7, + "children": 8370, + "mass_family": 83700, + "mass_removed": 89700, + "padding_registers": 6000, + "rank": 10 + }, + "5": { + "banks": 1170, + "capacity_per_bank": 15, + "children": 17550, + "mass_family": 87750, + "mass_removed": 87750, + "padding_registers": 0, + "rank": 5 + } + }, + "eligible_banks": 2366, + "eligible_families": [ + 5, + 10 + ], + "eligible_mass": 177450, + "kappa": null, + "mass_over_capacity_ratio": "66176/75325", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 75 + }, + "76": { + "blocks_per_bank": { + "12": 6 + }, + "deficit": 365520, + "density": "49632/57247", + "density_decimal": 0.866979929079253, + "detail": { + "12": { + "banks": 1796, + "capacity_per_bank": 6, + "children": 10773, + "mass_family": 129276, + "mass_removed": 136496, + "padding_registers": 7220, + "rank": 12 + } + }, + "eligible_banks": 1796, + "eligible_families": [ + 12 + ], + "eligible_mass": 136496, + "kappa": null, + "mass_over_capacity_ratio": "49632/57247", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 76 + }, + "78": { + "blocks_per_bank": { + "5": 15 + }, + "deficit": 437832, + "density": "33088/39169", + "density_decimal": 0.8447496744874773, + "detail": { + "5": { + "banks": 1170, + "capacity_per_bank": 15, + "children": 17550, + "mass_family": 87750, + "mass_removed": 91260, + "padding_registers": 3510, + "rank": 5 + } + }, + "eligible_banks": 1170, + "eligible_families": [ + 5 + ], + "eligible_mass": 91260, + "kappa": null, + "mass_over_capacity_ratio": "33088/39169", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 78 + }, + "80": { + "blocks_per_bank": {}, + "deficit": 510144, + "density": "12408/15065", + "density_decimal": 0.8236309326252904, + "detail": {}, + "eligible_banks": 0, + "eligible_families": [], + "eligible_mass": 0, + "kappa": null, + "poseable": true, + "priced": false, + "saving": null, + "status": "no family satisfies w | rank * children", + "width": 80 + }, + "84": { + "blocks_per_bank": { + "12": 7, + "14": 6 + }, + "deficit": 654768, + "density": "16544/21091", + "density_decimal": 0.7844104120240861, + "detail": { + "12": { + "banks": 1539, + "capacity_per_bank": 7, + "children": 10773, + "mass_family": 129276, + "mass_removed": 129276, + "padding_registers": 0, + "rank": 12 + }, + "14": { + "banks": 1113, + "capacity_per_bank": 6, + "children": 6678, + "mass_family": 93492, + "mass_removed": 93492, + "padding_registers": 0, + "rank": 14 + } + }, + "eligible_banks": 2652, + "eligible_families": [ + 12, + 14 + ], + "eligible_mass": 222768, + "kappa": null, + "mass_over_capacity_ratio": "16544/21091", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 84 + }, + "88": { + "blocks_per_bank": { + "16": 5, + "20": 4 + }, + "deficit": 799392, + "density": "2256/3013", + "density_decimal": 0.7487553932957186, + "detail": { + "16": { + "banks": 159, + "capacity_per_bank": 5, + "children": 792, + "mass_family": 12672, + "mass_removed": 13992, + "padding_registers": 1320, + "rank": 16 + }, + "20": { + "banks": 50, + "capacity_per_bank": 4, + "children": 198, + "mass_family": 3960, + "mass_removed": 4400, + "padding_registers": 440, + "rank": 20 + } + }, + "eligible_banks": 209, + "eligible_families": [ + 16, + 20 + ], + "eligible_mass": 18392, + "kappa": null, + "mass_over_capacity_ratio": "2256/3013", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 88 + }, + "90": { + "blocks_per_bank": { + "10": 9, + "20": 4, + "5": 18, + "6": 15 + }, + "deficit": 871704, + "density": "33088/45195", + "density_decimal": 0.7321163845558137, + "detail": { + "10": { + "banks": 930, + "capacity_per_bank": 9, + "children": 8370, + "mass_family": 83700, + "mass_removed": 83700, + "padding_registers": 0, + "rank": 10 + }, + "20": { + "banks": 50, + "capacity_per_bank": 4, + "children": 198, + "mass_family": 3960, + "mass_removed": 4500, + "padding_registers": 540, + "rank": 20 + }, + "5": { + "banks": 975, + "capacity_per_bank": 18, + "children": 17550, + "mass_family": 87750, + "mass_removed": 87750, + "padding_registers": 0, + "rank": 5 + }, + "6": { + "banks": 963, + "capacity_per_bank": 15, + "children": 14445, + "mass_family": 86670, + "mass_removed": 86670, + "padding_registers": 0, + "rank": 6 + } + }, + "eligible_banks": 2918, + "eligible_families": [ + 5, + 6, + 10, + 20 + ], + "eligible_mass": 262620, + "kappa": null, + "mass_over_capacity_ratio": "33088/45195", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 90 + }, + "96": { + "blocks_per_bank": { + "16": 6 + }, + "deficit": 1088640, + "density": "2068/3013", + "density_decimal": 0.6863591105210753, + "detail": { + "16": { + "banks": 132, + "capacity_per_bank": 6, + "children": 792, + "mass_family": 12672, + "mass_removed": 12672, + "padding_registers": 0, + "rank": 16 + } + }, + "eligible_banks": 132, + "eligible_families": [ + 16 + ], + "eligible_mass": 12672, + "kappa": null, + "mass_over_capacity_ratio": "2068/3013", + "poseable": true, + "priced": false, + "saving": null, + "status": "not priced: a different modulus is a different word, whose stock and deficit this ledger does not fix", + "width": 96 + } + } +} diff --git a/research/complex-bank-run3/export-contract-bit.json b/research/complex-bank-run3/export-contract-bit.json new file mode 100644 index 0000000000..faa782fdfe --- /dev/null +++ b/research/complex-bank-run3/export-contract-bit.json @@ -0,0 +1,1943 @@ +{ + "contract": "bit-side twin of the normalizer export contract: what the bit supplier's program must publish for the rank-22 realization obligations R1-R4 to close", + "version": 2, + "source": "research/complex-bank-run3/EXPORT-CONTRACT-BIT.md (the prose twin this file makes checkable)", + "scope": "The four physical realization obligations of the pinned rank-22 package (R1-R4, references/pr219-run1/obligations.json) reduce to one missing layer: the word's physical bodies, republished and re-run on the *banked* word. This file names the required exports, their verifiable form, the digest or count each body must reproduce, and the acceptance tests. It is the twin of export-contract.json, the complex side's contract, and reuses its shape exactly: the same schema, the same seven acceptance tests A1-A7, the same gate/replay split, and a pinned checker that gates the replay. verify.py -> check_bit_export_contract resolves every citation below against the pinned bytes, asserts the state of the drop, and importer66.py consumes it like any other contract.", + "precedent": { + "word_physical_layer_shape": { + "reading": "The bit word's physical layer is *built and pinned before* the rank-22 absorption: charts, incidence and colouring with their bounds and a PASS status. That is the shape R1-R4 must reach again on the absorbed word, and the precedent R1 extends -- which is why this twin is half-met where the complex side is empty.", + "citations": [ + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "status" + ], + "value": "PASS exact actual-chain chart and incidence checks", + "reading": "the supplier's own verdict on the built physical layer" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "m" + ], + "value": 72, + "reading": "the banked width" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "banks" + ], + "value": 45842, + "reading": "the banked row's banks" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "gauge_roles" + ], + "value": 2200, + "reading": "the absorbed gauge family's roles" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "distinct_gauges" + ], + "value": 220, + "reading": "and the frames they sit on, which A2 holds" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "incidences" + ], + "value": 154026, + "reading": "the built incidence count" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "physical_roles" + ], + "value": 17114, + "reading": "the physical roles A7 must witness" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "color_stats" + ], + "value": { + "longest_swapped_path": 11, + "swaps": 733 + }, + "reading": "the colouring's exact statistics" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "conflicting_assignment_rejected" + ], + "value": true, + "reading": "the colouring reject control, claimed true" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "max_den" + ], + "value": 18, + "reading": "the chart denominator bound A3 holds the export to" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "max_num" + ], + "value": 5, + "reading": "the chart numerator bound A3 holds the export to" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "max_chart_factors" + ], + "value": 171, + "reading": "the factor count per frame" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "patterns" + ], + "value": [ + { + "count": 3300, + "rank24": 2, + "rank4": 6 + }, + { + "count": 42542, + "rank24": 3, + "rank4": 0 + } + ], + "reading": "the block patterns of the banked row" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "word_sha256" + ], + "value": "0728ed1c7320430a87709b1034485cbabefec85d532b48897f74136cf3954218", + "reading": "the banked word" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "chart_sha256" + ], + "value": "22662b8580d62f26f50a7773ac45a40d4ffa8352bba5317ec3b2c0ce5897a810", + "reading": "the chart stream's digest: now reproduced in the drop, not just cited" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "incidence_sha256" + ], + "value": "76bff256b747bd188fdfa679059c8340cab7d8e1208db4b818d770ea08711117", + "reading": "and the incidence stream's" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "pinned_bit_files" + ], + "value": 2242, + "reading": "the word files the packed row pinned and did not publish" + } + ] + }, + "terminal_word_formal_layer": { + "reading": "The formal columns and the prime witnesses are built and pinned on the *terminal* word: R2 and R3 are the same checks re-run on the absorbed word, not new mathematics. The formal layer publishes its F2 identity and its defining-integer decoder as booleans, which is exactly what A4 refuses to take on trust.", + "citations": [ + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "status" + ], + "value": "PASS complete terminal bit word, exact geometry/ledger/F2/integer columns", + "reading": "the terminal word's formal/geometry verdict" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "formal" + ], + "value": [ + { + "all_dirty_and_source_columns_restored": true, + "defining_decoder": true, + "formal_variables": 20668, + "identity": true, + "ring": "2", + "target_contract": "F2 identity" + }, + { + "all_dirty_and_source_columns_restored": true, + "defining_decoder": true, + "formal_variables": 20668, + "identity": false, + "ring": "0", + "target_contract": "integer defining decoder" + } + ], + "reading": "the two formal rows: F2 identity, integer defining decoder" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "formal" + ], + "value": [ + { + "all_outputs": true, + "all_sources_and_dirty_restored": true, + "direction": 1, + "dirty_columns": 17114, + "formal_columns": 20634, + "mode": "F2", + "partner_mix_unmix_at_original_anchors": true, + "retained_cleanup_literal_reverse": true, + "source_columns": 1760, + "target_columns": 1760 + }, + { + "all_outputs": true, + "all_sources_and_dirty_restored": true, + "direction": 1, + "dirty_columns": 17114, + "formal_columns": 20634, + "mode": "Z", + "partner_mix_unmix_at_original_anchors": true, + "retained_cleanup_literal_reverse": true, + "source_columns": 1760, + "target_columns": 1760 + }, + { + "all_outputs": true, + "all_sources_and_dirty_restored": true, + "direction": -1, + "dirty_columns": 17114, + "formal_columns": 20634, + "mode": "Z", + "partner_mix_unmix_at_original_anchors": true, + "retained_cleanup_literal_reverse": true, + "source_columns": 1760, + "target_columns": 1760 + } + ], + "reading": "the terminal replay per direction and mode" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "integer_residual_bound" + ], + "value": 39780, + "reading": "the defining-integer residual bound" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "packed_digit_bits" + ], + "value": 24, + "reading": "the packed digit width" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "new_frames_added" + ], + "value": 0, + "reading": "the terminal word adds no frame: R1 may not add one either without re-pricing" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "profile", + "child_histogram", + "22" + ], + "value": 6672, + "reading": "the rank-22 bin before absorption" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "profile", + "R" + ], + "value": 17114, + "reading": "the word's physical roles" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "profile", + "W_per_vertex" + ], + "value": 20634, + "reading": "the word's stock" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "profile", + "changed_operation_frames" + ], + "value": 7282, + "reading": "the frames a re-run must cover" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "profile", + "selected_roles" + ], + "value": 2200, + "reading": "the selected gauge family" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "status" + ], + "value": "PASS exact prime witnesses for every used physical frame", + "reading": "the witness layer's verdict" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "total_used_frames" + ], + "value": 24401, + "reading": "the frames witnessed" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "unique_used_bases" + ], + "value": 24401, + "reading": "distinct bases" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "maximum_determinant_bits" + ], + "value": 118, + "reading": "the determinant scale" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "witness_sha256" + ], + "value": "612f0b91c7689b0cebcacb28278579aa2c88801df640798d7a119f11eca836c3", + "reading": "the witness body's digest: now reproduced in the drop" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "witness_file" + ], + "value": "bit/prime-witnesses.json.gz", + "reading": "the witness body's upstream path, and the reason an index is needed beside it" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "script_sha256" + ], + "value": "98cd03bc9582e7bd0ab194c191ea8eea940539e510051443ab9fd3e572a364ab", + "reading": "the supplier's witness script" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "rule" + ], + "value": "Every q>2^80 avoids every nonzero used-frame determinant, so the original prime range is unchanged.", + "reading": "the rule A7's bound is held to" + } + ] + }, + "the_family_is_enumerated": { + "reading": "The absorbed family is enumerated, its provenance is pinned and it is the *same word* the packed row banked: the inventory's word digest is PR205's physical.word_sha256. So the twin asks for bodies behind digests of a word this repository already half-holds -- the schedule, the retained ledger and the whole-bank condition are published accounting, not the physical layer.", + "citations": [ + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "status" + ], + "value": "rank-22 increment enumeration of PR200 terminal-modified bit word (per vertex)", + "reading": "what the enumeration is" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "counts_per_vertex" + ], + "value": { + "ledger_bin_22_per_vertex": 6672, + "ledger_bin_22_three_copies": 20016, + "normalization_factor_in_row": 3, + "physical_internal_H": 1344, + "physical_target_Y": 0, + "source_chain_src": 880 + }, + "reading": "the family's counts B2 must reproduce exactly" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "row_identity_per_vertex" + ], + "value": { + "W": 20668, + "deficit": 1936, + "m": 72, + "mass": 1486160 + }, + "reading": "the row the enumeration was taken in" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "source_pins" + ], + "value": { + "base_word_sha256": "9fe3a81b7561d2b09c086f63fac4626e88a32369ef8bc5579c94878de1218a89", + "certificate_sha256": "853afa75980e11ce16b333c28311c4f635e84065867c049fda9916c2419091ed", + "checker_sha256": "4d7c86cd999a1519e0dfb6dcf33a8f26e442a353c3665a0f06881216a260fbf3", + "frames_p12_sha256": "aec2f09df5b42165a353a9233d9c8549bf091167915f6b044689c4bfb189d406", + "package": "research/paired-cube-diagonal-bit-168", + "word_p12_sha256": "0728ed1c7320430a87709b1034485cbabefec85d532b48897f74136cf3954218" + }, + "reading": "the word, the base checker and the certificate, by digest" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "status" + ], + "value": "CONDITIONAL accounting construction for the rank-22 bank absorption: schedule, retained ledger, whole-bank volume, exact paid moments, finite ordinary composition and balanced assembly are certified here; the physical realization obligations R1-R4 (obligations.json) are OPEN and the kappa below is conditional on them. Not a completed finite witness; not an unconditional multiplication theorem.", + "reading": "the accounting package's own verdict and its declared conditionality" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "status" + ], + "value": "bank-absorption schedule, accounting and tiling invariants; no physical column, chart or prime witness is built here", + "reading": "the literal statement that no physical layer is built" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "obligations" + ], + "value": [ + "R1", + "R2", + "R3", + "R4" + ], + "reading": "the four obligations this contract answers" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "banks" + ], + "value": { + "banks_from_volume": 6116, + "volume": 440352, + "whole_bank_condition": true, + "width": 72 + }, + "reading": "the whole-bank condition and the bank count it implies" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "row_identity" + ], + "value": { + "after": "72*50286 - 3614784 = 5808", + "before": "72*56402 - 4055136 = 5808", + "stock_drop": 6116, + "stock_drop_equals_banks": true + }, + "reading": "the retained row identity" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "block_tilings", + "feasible_patterns" + ], + "value": [ + { + "blocks": 4, + "rank22": 2, + "rank24": 1, + "rank4": 1 + }, + { + "blocks": 9, + "rank22": 2, + "rank24": 0, + "rank4": 7 + } + ], + "reading": "the admissible tilings R1 must select from" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "kappa" + ], + "value": "700427501305159/1000000000000000000", + "reading": "the conditional kappa R4's parity test protects" + } + ], + "cross_reading": "the inventory's source_pins.word_p12_sha256 equals the packed row's physical.word_sha256: the enumerated family and the banked row are the same word, so the contract asks for bodies behind existing digests rather than for new trust" + }, + "what_the_obligations_say": { + "reading": "the four obligations, quoted from the pinned statement rather than paraphrased; every export below is mapped to one or more of them, so the twin cannot answer an obligation the package did not state", + "citations": [ + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 0, + "statement" + ], + "value": "Define the rank-22 residual item (one per enumerated occurrence: the frame-jump residual at each chain transition listed in inputs/absorbed-occurrences.json) and its coordinate-block shape in a bank of width 72, together with the normalizer sending each item's true residual projector to its assigned block. Candidate tilings with the word's residual families are enumerated by schedule.py (block sizes 4/24/22 tiling 72); one must be selected and the per-occurrence assignment (item -> bank, offset) generated and hashed.", + "reading": "R1: the residual type, the bank blocks, the assignment" + }, + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 1, + "statement" + ], + "value": "Re-run the complete formal-column checks on the modified word: every source, target and dirty-register column over F2 and over the defining integers (residual bound and packed digits as in PR200's terminal-modified replay), with the rank-22 transitions realized by bank re-assignment instead of paid children. The F2 identity and the defining-integer decoder must both hold.", + "reading": "R2: the formal columns of the modified word" + }, + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 2, + "statement" + ], + "value": "Exact charts (integer kernel bases with fraction-free inverses and replayed elementary factors) for every new block frame, the incidence colouring of the new bank incidences, and distinct integer Gram/prime witnesses for every frame the new blocks use, with residual factors below the retained q bound.", + "reading": "R3: charts, colouring and prime witnesses" + }, + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 3, + "statement" + ], + "value": "Confirm that the paid moment envelope for the modified word is exactly the one arithmetic.py prices: retained child histogram as in schedule.py, stock 50,286 (three-copy normalization), deficit 5,808, worst-case bad fraction 1e-16 and fallback 32*72^2 per retained child, strict adapter and internally borrowed-row tolls paid. Any additional completion child introduced by R1 must be added to the ledger and the kappa recomputed.", + "reading": "R4: the moment envelope and the recomputation rule" + } + ] + } + }, + "today": { + "bodies_present": 0, + "of_required": 6, + "about": "the pinned *certificates*: what the supplier published as bytes rather than as hashes", + "verdict": "fail closed: not one required export is published as a body by the pins. The physical layer the pins hold belongs to the *unabsorbed* word (PR200's formal columns and witnesses, PR205's charts, incidence and colouring) and is published as digests and statuses; the pinned rank-22 package certifies the accounting and says so in its own schedule.status. See `drop` for what has since been assembled and reproduced outside the pins.", + "published_only_as": [ + "digest", + "count", + "status", + "enumeration", + "path" + ], + "evidence": [ + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "status" + ], + "value": "CONDITIONAL accounting construction for the rank-22 bank absorption: schedule, retained ledger, whole-bank volume, exact paid moments, finite ordinary composition and balanced assembly are certified here; the physical realization obligations R1-R4 (obligations.json) are OPEN and the kappa below is conditional on them. Not a completed finite witness; not an unconditional multiplication theorem.", + "reading": "the package's own verdict: R1-R4 OPEN, kappa conditional" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "status" + ], + "value": "bank-absorption schedule, accounting and tiling invariants; no physical column, chart or prime witness is built here", + "reading": "no physical column, chart or prime witness is built there" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "obligations" + ], + "value": [ + "R1", + "R2", + "R3", + "R4" + ], + "reading": "the four obligations, still OPEN" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "input_sha256" + ], + "value": { + "research/paired-cube-diagonal-bit-168/selected/bit/frames_p12.json.gz": "ad8e2705652b68476713d7647a8592505e222f2b3ccd1728dedce153aac6d462", + "research/paired-cube-diagonal-bit-168/selected/bit/graph_p12.json": "31a09a55920e64c8bfbac8b845dc01754c112aa6e207812e2fd1f4939d8f64cb", + "research/paired-cube-diagonal-bit-168/selected/bit/kchron_p12.json": "0fab548e84cf5ca7c04e8bd19b5810850463f36e0f92180efe73aeff17105e39", + "research/paired-cube-diagonal-bit-168/selected/bit/profile_p12.json": "c44ef8640cbcbcc9bac3a30e13373bd79efddde55d7cea514354ca2cdb60d66d", + "research/paired-cube-diagonal-bit-168/selected/bit/word_p12.json.gz": "1cb7e8ed45cf542e304fddc4b12247dbb248a0dc84dedbd832f336b2d172793a" + }, + "reading": "the five word bodies exist as digests in the supplier's workspace, not in the pins" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "witness_file" + ], + "value": "bit/prime-witnesses.json.gz", + "reading": "the witness body's path, not its bytes" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "chart_sha256" + ], + "value": "22662b8580d62f26f50a7773ac45a40d4ffa8352bba5317ec3b2c0ce5897a810", + "reading": "the chart stream: digest only, in the pins" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "incidence_sha256" + ], + "value": "76bff256b747bd188fdfa679059c8340cab7d8e1208db4b818d770ea08711117", + "reading": "the incidence stream: digest only, in the pins" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "word_sha256" + ], + "value": "0728ed1c7320430a87709b1034485cbabefec85d532b48897f74136cf3954218", + "reading": "the word body: digest only" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "witness_sha256" + ], + "value": "612f0b91c7689b0cebcacb28278579aa2c88801df640798d7a119f11eca836c3", + "reading": "the witness body: digest only" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "source_pins", + "checker_sha256" + ], + "value": "4d7c86cd999a1519e0dfb6dcf33a8f26e442a353c3665a0f06881216a260fbf3", + "reading": "the checker this contract pins: digest only" + } + ] + }, + "drop": { + "about": "the import directory this package now ships, and what a partial run of the gate makes of it: the two export groups whose bytes the supplier published as digests, reproduced and anchored, and the declarations they do not carry themselves", + "dir": "exports-bit", + "bodies": 10, + "anchored": 8, + "exports_complete": [ + "B1", + "B3" + ], + "exports_absent": [ + "B2", + "B4", + "B5", + "B6" + ], + "streams": [ + "charts.json", + "incidence.json" + ], + "reproduced": "the five word bodies and the witness body are the supplier's own bytes, each hashing to the digest its certificate published. The chart and incidence streams do not exist upstream as files: PR205 published digests of canonical streams. Running PR205's packer unmodified on the word bodies in this drop re-derives both streams byte for byte, and the packer's recomputed physical block differs from PR205's published block in no field (exports-bit/physical.rebuilt.json)", + "declarations": "what the bodies do not declare is declared by two index bodies, derived by bitindex.py from the bodies and the pinned certificates rather than typed in: index.json.gz (B1: the sibling digests, the terminal geometry, the selected gauge family and its 220 distinct frames) and charts.index.json.gz (B3: the colouring and chart statistics, the banked row and the 24,401-entry witness table A7 is held to). Neither is anchored: an index is a declaration, and the bodies it describes are what carry the digests", + "verdict": "the gate decides A2 and A3 on the real bytes and the declarations derived from them: A2 on the six index counts, the frame-record bijection and the foreign-replay bound, A3 on the chart and witness bounds. A1 passes its eight digest anchors and nine index checks and still lacks a manifest; A6 and A7 pass seventeen chart/index checks each and still lack B5's controls; A4 lacks B4 and A5 lacks B2. So the drop is reportable in part and never admissible: the default import refuses it (code 2), the partial run reports it (code 4) and nothing is discharged. R1-R4 stay OPEN", + "gate": { + "command": "python3 -B importer66.py --contract export-contract-bit.json --exports exports-bit --partial", + "exit_code": 4, + "default_exit_code": 2, + "by_test": { + "A1": "17 checks pass, 0 fail; not runnable while integrity.json is absent", + "A2": "PASS, 9 checks", + "A3": "PASS, 17 checks", + "A4": "no check yet: B4 is absent", + "A5": "no check yet: B2 is absent", + "A6": "17 checks pass, 0 fail; not runnable while controls.json is absent", + "A7": "17 checks pass, 0 fail; not runnable while controls.json is absent" + }, + "report": "bit-drop-report.json", + "report_reading": "the same partial run, as JSON, and verify.py re-runs it and compares", + "note": "two of the seven acceptance tests are decided on published bytes; the other five wait for bodies this drop does not hold" + }, + "evidence": [ + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "chart_sha256" + ], + "value": "22662b8580d62f26f50a7773ac45a40d4ffa8352bba5317ec3b2c0ce5897a810", + "reading": "the chart stream the drop reproduces" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "incidence_sha256" + ], + "value": "76bff256b747bd188fdfa679059c8340cab7d8e1208db4b818d770ea08711117", + "reading": "the incidence stream the drop reproduces" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "distinct_gauges" + ], + "value": 220, + "reading": "the 220 distinct gauge frames A2 holds" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "input_sha256" + ], + "value": { + "research/paired-cube-diagonal-bit-168/selected/bit/frames_p12.json.gz": "ad8e2705652b68476713d7647a8592505e222f2b3ccd1728dedce153aac6d462", + "research/paired-cube-diagonal-bit-168/selected/bit/graph_p12.json": "31a09a55920e64c8bfbac8b845dc01754c112aa6e207812e2fd1f4939d8f64cb", + "research/paired-cube-diagonal-bit-168/selected/bit/kchron_p12.json": "0fab548e84cf5ca7c04e8bd19b5810850463f36e0f92180efe73aeff17105e39", + "research/paired-cube-diagonal-bit-168/selected/bit/profile_p12.json": "c44ef8640cbcbcc9bac3a30e13373bd79efddde55d7cea514354ca2cdb60d66d", + "research/paired-cube-diagonal-bit-168/selected/bit/word_p12.json.gz": "1cb7e8ed45cf542e304fddc4b12247dbb248a0dc84dedbd832f336b2d172793a" + }, + "reading": "the five word digests the drop reproduces" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "witness_sha256" + ], + "value": "612f0b91c7689b0cebcacb28278579aa2c88801df640798d7a119f11eca836c3", + "reading": "the witness digest the drop reproduces" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "source_pins", + "checker_sha256" + ], + "value": "4d7c86cd999a1519e0dfb6dcf33a8f26e442a353c3665a0f06881216a260fbf3", + "reading": "the checker the drop pins" + } + ] + }, + "required_exports": [ + { + "id": "B1", + "name": "the word, its frames and the selected gauge family", + "publishes": "the five bodies behind the terminal word's input digests -- word.json.gz (the packed word), frames.json.gz (integer kernel basis per frame), graph.json (parents, children and edges), kchron.json (the chronology) and profile.json (the histogram and ledger row) -- verbatim and anchored, together with index.json.gz, which declares their digests, the terminal column geometry, the selected gauge family and the bijection between its 220 distinct frames and their records in the frame table", + "form": "five JSON/gz bodies as published, plus one JSON/gz index (integers and digests only)", + "cardinality": { + "formal_columns": 20634, + "dirty_columns": 17114, + "changed_operation_frames": 7282, + "used_frames": 24401, + "selected_roles": 2200, + "gauge_frames": 220 + }, + "must_reproduce": [ + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "input_sha256" + ], + "value": { + "research/paired-cube-diagonal-bit-168/selected/bit/frames_p12.json.gz": "ad8e2705652b68476713d7647a8592505e222f2b3ccd1728dedce153aac6d462", + "research/paired-cube-diagonal-bit-168/selected/bit/graph_p12.json": "31a09a55920e64c8bfbac8b845dc01754c112aa6e207812e2fd1f4939d8f64cb", + "research/paired-cube-diagonal-bit-168/selected/bit/kchron_p12.json": "0fab548e84cf5ca7c04e8bd19b5810850463f36e0f92180efe73aeff17105e39", + "research/paired-cube-diagonal-bit-168/selected/bit/profile_p12.json": "c44ef8640cbcbcc9bac3a30e13373bd79efddde55d7cea514354ca2cdb60d66d", + "research/paired-cube-diagonal-bit-168/selected/bit/word_p12.json.gz": "1cb7e8ed45cf542e304fddc4b12247dbb248a0dc84dedbd832f336b2d172793a" + }, + "reading": "all five word digests must come out of the published bodies" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "total_used_frames" + ], + "value": 24401, + "reading": "the witness table the index counts" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "profile", + "selected_roles" + ], + "value": 2200, + "reading": "the selected family the index derives" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "distinct_gauges" + ], + "value": 220, + "reading": "and the frames it sits on, bijectively" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "word_sha256" + ], + "value": "0728ed1c7320430a87709b1034485cbabefec85d532b48897f74136cf3954218", + "reading": "the word digest PR205 banked, unchanged" + } + ], + "bodies": [ + { + "file": "index.json.gz", + "anchored_digest": null + }, + { + "file": "word.json.gz", + "stream": false, + "anchored_digest": "1cb7e8ed45cf542e304fddc4b12247dbb248a0dc84dedbd832f336b2d172793a" + }, + { + "file": "frames.json.gz", + "stream": false, + "anchored_digest": "ad8e2705652b68476713d7647a8592505e222f2b3ccd1728dedce153aac6d462" + }, + { + "file": "graph.json", + "stream": false, + "anchored_digest": "31a09a55920e64c8bfbac8b845dc01754c112aa6e207812e2fd1f4939d8f64cb" + }, + { + "file": "kchron.json", + "stream": false, + "anchored_digest": "0fab548e84cf5ca7c04e8bd19b5810850463f36e0f92180efe73aeff17105e39" + }, + { + "file": "profile.json", + "stream": false, + "anchored_digest": "c44ef8640cbcbcc9bac3a30e13373bd79efddde55d7cea514354ca2cdb60d66d" + } + ], + "gate": { + "test": [ + "A1", + "A2" + ], + "equals": { + "formal_columns": 20634, + "dirty_columns": 17114, + "changed_operation_frames": 7282, + "used_frames": 24401, + "selected_roles": 2200, + "gauge_frames": 220 + }, + "bijection": [ + "gauge_frame_map" + ], + "flags_present": [ + "input_sha256" + ], + "at_most": { + "foreign_producer_replays": 0 + } + }, + "acceptance": [ + "A1", + "A2" + ], + "unblocks": [ + "R2", + "R3" + ] + }, + { + "id": "B2", + "name": "the bank blocks and the per-occurrence assignment", + "publishes": "the rank-22 residual item (one per enumerated occurrence of the pinned inventory), its coordinate-block shape in a bank of width 72, the selected tiling of that width, and the per-occurrence assignment (item -> bank, offset) with the normalizer sending each item's true residual projector to its assigned block", + "form": "JSON: the selected pattern, the bank table (banks x 72 offsets) and the item assignment, integers only, with the assignment hashed", + "cardinality": { + "items": 20016, + "banks": 6116, + "width": 72, + "registers": 440352, + "occurrences_per_vertex": 6672, + "normalization_factor": 3 + }, + "must_reproduce": [ + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "banks" + ], + "value": { + "banks_from_volume": 6116, + "volume": 440352, + "whole_bank_condition": true, + "width": 72 + }, + "reading": "the whole-bank condition and the bank count" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "absorbed_family" + ], + "value": { + "dirt_volume_registers": 440352, + "ledger_bin_per_vertex": 6672, + "normalization_factor": 3, + "occurrences_three_copies": 20016, + "provenance_counts_per_vertex": { + "copied_centre_children": 24, + "physical_internal_chain_jumps": 1320, + "physical_target_jumps": 0, + "source_chain_jumps": 880 + }, + "rank": 22 + }, + "reading": "the family's exact inventory, with provenance" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "block_tilings", + "feasible_patterns" + ], + "value": [ + { + "blocks": 4, + "rank22": 2, + "rank24": 1, + "rank4": 1 + }, + { + "blocks": 9, + "rank22": 2, + "rank24": 0, + "rank4": 7 + } + ], + "reading": "the admissible tilings" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "counts_per_vertex" + ], + "value": { + "ledger_bin_22_per_vertex": 6672, + "ledger_bin_22_three_copies": 20016, + "normalization_factor_in_row": 3, + "physical_internal_H": 1344, + "physical_target_Y": 0, + "source_chain_src": 880 + }, + "reading": "the pinned enumeration's counts" + }, + { + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "row_identity_per_vertex" + ], + "value": { + "W": 20668, + "deficit": 1936, + "m": 72, + "mass": 1486160 + }, + "reading": "the row the occurrences were enumerated in" + } + ], + "bodies": [ + { + "file": "assignment.json", + "stream": false, + "anchored_digest": null + } + ], + "gate": { + "test": [ + "A5" + ], + "equals": { + "items": 20016, + "banks": 6116, + "width": 72, + "registers": 440352, + "occurrences_per_vertex": 6672 + }, + "bijection": [ + "assignment" + ], + "equals_in": [ + { + "body_key": "counts_per_vertex", + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "keys": [ + "counts_per_vertex" + ], + "why": "the export must name exactly the counts the pinned inventory names: this is what makes A5 a bijection against the enumeration rather than a restatement" + }, + { + "body_key": "bank_table", + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "banks" + ], + "why": "the export's bank table must be the one the schedule's whole-bank condition implies, not a restatement of it" + }, + { + "body_key": "row_identity", + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "row_identity" + ], + "why": "and the absorbed row must be the row R4 prices" + } + ] + }, + "acceptance": [ + "A5" + ], + "unblocks": [ + "R1", + "R4" + ] + }, + { + "id": "B3", + "name": "charts, incidence colouring and prime witnesses", + "publishes": "the chart stream (integer kernel bases with fraction-free inverses and the replayed elementary factors, frame by frame), the incidence stream (one coloured incidence per line), and the witness table, each verbatim and anchored, plus charts.index.json.gz, which declares the colouring and chart statistics the streams carry but do not name, the banked row, and the witness table A7 is held to", + "form": "two canonical byte streams (hashed as published, not parsed) and the witness JSON/gz, plus one JSON/gz index", + "cardinality": { + "used_frames": 24401, + "physical_roles": 17114, + "gauge_roles": 2200, + "distinct_gauges": 220, + "incidences": 154026, + "banks": 45842, + "max_chart_factors": 171, + "swaps": 733, + "longest_swapped_path": 11 + }, + "must_reproduce": [ + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "chart_sha256" + ], + "value": "22662b8580d62f26f50a7773ac45a40d4ffa8352bba5317ec3b2c0ce5897a810", + "reading": "the chart stream's digest" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "incidence_sha256" + ], + "value": "76bff256b747bd188fdfa679059c8340cab7d8e1208db4b818d770ea08711117", + "reading": "the incidence stream's digest" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "max_den" + ], + "value": 18, + "reading": "the denominator bound the re-run must not exceed" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "max_num" + ], + "value": 5, + "reading": "the numerator bound" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "color_stats" + ], + "value": { + "longest_swapped_path": 11, + "swaps": 733 + }, + "reading": "the colouring's exact statistics" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "conflicting_assignment_rejected" + ], + "value": true, + "reading": "and its reject control" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "physical", + "incidences" + ], + "value": 154026, + "reading": "the incidence count" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "witness_sha256" + ], + "value": "612f0b91c7689b0cebcacb28278579aa2c88801df640798d7a119f11eca836c3", + "reading": "the witness body behind its digest" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "total_used_frames" + ], + "value": 24401, + "reading": "the frames witnessed" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "unique_used_bases" + ], + "value": 24401, + "reading": "distinct bases" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "all_remaining_factors_below_retained_prime_lower_bound" + ], + "value": true, + "reading": "every remaining factor below the retained prime bound" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "prime_witnesses", + "rule" + ], + "value": "Every q>2^80 avoids every nonzero used-frame determinant, so the original prime range is unchanged.", + "reading": "the rule A7's bound rests on" + } + ], + "bodies": [ + { + "file": "charts.index.json.gz", + "stream": false, + "anchored_digest": null + }, + { + "file": "charts.json", + "stream": true, + "anchored_digest": "22662b8580d62f26f50a7773ac45a40d4ffa8352bba5317ec3b2c0ce5897a810" + }, + { + "file": "incidence.json", + "stream": true, + "anchored_digest": "76bff256b747bd188fdfa679059c8340cab7d8e1208db4b818d770ea08711117" + }, + { + "file": "prime-witnesses.json.gz", + "stream": false, + "anchored_digest": "612f0b91c7689b0cebcacb28278579aa2c88801df640798d7a119f11eca836c3" + } + ], + "gate": { + "test": [ + "A3", + "A6", + "A7" + ], + "equals": { + "used_frames": 24401, + "physical_roles": 17114, + "gauge_roles": 2200, + "distinct_gauges": 220, + "incidences": 154026, + "banks": 45842, + "W": 56402, + "rank_mass": 4055136, + "deficit": 5808, + "swaps": 733, + "longest_swapped_path": 11, + "max_chart_factors": 171 + }, + "at_most": { + "max_denominator": 18, + "max_abs_numerator": 5 + }, + "flags_true": [ + "conflicting_assignment_rejected" + ], + "flags_present": [ + "color_stats" + ], + "distinct_below": { + "witnesses": "prime_witnesses", + "bound": "q_bound" + } + }, + "acceptance": [ + "A1", + "A3", + "A6", + "A7" + ], + "unblocks": [ + "R1", + "R3" + ] + }, + { + "id": "B4", + "name": "columns of the banked word", + "publishes": "per direction and per ring the formal column tables of the *banked* word: every source, target and dirty-register column over F2 and over the defining integers, with the rank-22 transitions realized by bank re-assignment rather than by paid children, the residual bound and the packed digits as in the terminal replay", + "form": "JSON tables of integer addresses, one row per column", + "cardinality": { + "formal_columns": 20634, + "dirty_columns": 17114, + "source_columns": 1760, + "target_columns": 1760, + "integer_residual_bound": 39780, + "packed_digit_bits": 24 + }, + "must_reproduce": [ + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "formal" + ], + "value": [ + { + "all_outputs": true, + "all_sources_and_dirty_restored": true, + "direction": 1, + "dirty_columns": 17114, + "formal_columns": 20634, + "mode": "F2", + "partner_mix_unmix_at_original_anchors": true, + "retained_cleanup_literal_reverse": true, + "source_columns": 1760, + "target_columns": 1760 + }, + { + "all_outputs": true, + "all_sources_and_dirty_restored": true, + "direction": 1, + "dirty_columns": 17114, + "formal_columns": 20634, + "mode": "Z", + "partner_mix_unmix_at_original_anchors": true, + "retained_cleanup_literal_reverse": true, + "source_columns": 1760, + "target_columns": 1760 + }, + { + "all_outputs": true, + "all_sources_and_dirty_restored": true, + "direction": -1, + "dirty_columns": 17114, + "formal_columns": 20634, + "mode": "Z", + "partner_mix_unmix_at_original_anchors": true, + "retained_cleanup_literal_reverse": true, + "source_columns": 1760, + "target_columns": 1760 + } + ], + "reading": "the terminal replay's own column geometry" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "integer_residual_bound" + ], + "value": 39780, + "reading": "the defining-integer residual bound" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "packed_digit_bits" + ], + "value": 24, + "reading": "the packed digit width" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "formal" + ], + "value": [ + { + "all_dirty_and_source_columns_restored": true, + "defining_decoder": true, + "formal_variables": 20668, + "identity": true, + "ring": "2", + "target_contract": "F2 identity" + }, + { + "all_dirty_and_source_columns_restored": true, + "defining_decoder": true, + "formal_variables": 20668, + "identity": false, + "ring": "0", + "target_contract": "integer defining decoder" + } + ], + "reading": "the F2 identity and the defining-integer decoder, as claims" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "status" + ], + "value": "PASS complete terminal bit word, exact geometry/ledger/F2/integer columns", + "reading": "the verdict the re-run must reach again" + }, + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 1, + "statement" + ], + "value": "Re-run the complete formal-column checks on the modified word: every source, target and dirty-register column over F2 and over the defining integers (residual bound and packed digits as in PR200's terminal-modified replay), with the rank-22 transitions realized by bank re-assignment instead of paid children. The F2 identity and the defining-integer decoder must both hold.", + "reading": "R2, word for word" + } + ], + "bodies": [ + { + "file": "columns.json", + "stream": false, + "anchored_digest": null + } + ], + "gate": { + "test": [ + "A4" + ], + "equals": { + "formal_columns": 20634, + "dirty_columns": 17114, + "source_columns": 1760, + "target_columns": 1760, + "checked_source_columns": 1760, + "checked_target_rows": 1760, + "checked_dirty_columns": 17114, + "integer_residual_bound": 39780, + "packed_digit_bits": 24 + }, + "counted_in_tables": { + "source_columns": "checked_source_columns", + "target_rows": "checked_target_rows", + "dirty_columns": "checked_dirty_columns" + } + }, + "acceptance": [ + "A4" + ], + "unblocks": [ + "R2" + ] + }, + { + "id": "B5", + "name": "the reject controls", + "publishes": "the negative controls the word's own certificates ran, re-run on the banked word and published with the rejected object: the 4 word controls, the 3 terminal controls, the 21 adverse coarse controls, the 2 rejected adjacent grids and the 6 rejected bank partitions with their 12 weighted partition cases", + "form": "JSON: per control the mutated object, the predicate it violates and the observed rejection", + "cardinality": { + "adverse_controls": 21, + "word_controls": 4, + "terminal_controls": 3, + "rejected_partitions": 6, + "weighted_partition_cases": 12, + "formal_columns_per_case": 144 + }, + "must_reproduce": [ + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "arithmetic", + "adverse_control_count" + ], + "value": 21, + "reading": "the adverse controls the coarse run counted" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "word_controls" + ], + "value": [ + "omit_compensation", + "missing_partner", + "stale", + "zero_operation_frame" + ], + "reading": "the word's four controls" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "terminal", + "controls" + ], + "value": { + "omit-ancestor-response": "REJECTED", + "omit-pre-target": "REJECTED", + "omit-write": "REJECTED" + }, + "reading": "the terminal controls and their verdicts" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "coarse", + "controls" + ], + "value": { + "next_coarse_grid_rejected": true, + "previous_atom_grid_rejected": true + }, + "reading": "the two rejected adjacent grids" + }, + { + "source": "references/pr219-run1/references/pr200-bit.certificate.json", + "keys": [ + "bit", + "coarse", + "scope" + ], + "value": "Adjacent coarse exclusion for this fixed worst-case bad-class envelope and least atom on the stated grid; no true bad-fraction or global optimality claim.", + "reading": "what the rejection does and does not claim" + }, + { + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "keys": [ + "bank_controls" + ], + "value": { + "formal_columns_per_case": 144, + "rejected": [ + "repeated block mod 9", + "omitted block mod 9", + "repeated block mod 25", + "omitted block mod 25", + "repeated block mod 125", + "omitted block mod 125" + ], + "weighted_partition_cases": 12 + }, + "reading": "the rejected bank partitions and the cases run" + }, + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 2, + "statement" + ], + "value": "Exact charts (integer kernel bases with fraction-free inverses and replayed elementary factors) for every new block frame, the incidence colouring of the new bank incidences, and distinct integer Gram/prime witnesses for every frame the new blocks use, with residual factors below the retained q bound.", + "reading": "R3's reject-control half, word for word" + } + ], + "bodies": [ + { + "file": "controls.json", + "stream": false, + "anchored_digest": null + } + ], + "gate": { + "test": [ + "A6", + "A7" + ], + "equals": { + "adverse_controls": 21, + "word_controls": 4, + "terminal_controls": 3, + "rejected_partitions": 6, + "weighted_partition_cases": 12, + "formal_columns_per_case": 144 + }, + "flags_true": [ + "next_coarse_grid_rejected", + "previous_atom_grid_rejected" + ], + "flags_present": [ + "rejected", + "controls" + ] + }, + "acceptance": [ + "A6", + "A7" + ], + "unblocks": [ + "R2", + "R3" + ] + }, + { + "id": "B6", + "name": "envelope and integrity", + "publishes": "the paid moment envelope of the banked word in the form arithmetic.py consumes (retained stock, deficit, retained histogram, worst-case bad fraction 1e-16 and the fallback 32*72^2 per retained child), the completion-child ledger R1 may have extended with the recomputed kappa if it did, and the manifest listing every digest of B1-B5, the streams included, and the acceptance predicates actually run", + "form": "JSON envelope plus manifest", + "cardinality": { + "W_after": 50286, + "deficit": 5808, + "rank_mass_after": 3614784, + "retained_children": 857622, + "maxchild": 21, + "banks": 6116, + "registers": 440352, + "bad_fraction_inverse": 10000000000000000, + "fallback_registers_per_child": 165888 + }, + "must_reproduce": [ + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "retained_profile", + "W_after" + ], + "value": 50286, + "reading": "the absorbed stock" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "retained_profile", + "deficit" + ], + "value": 5808, + "reading": "the unchanged deficit" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "retained_profile", + "rank_mass_after" + ], + "value": 3614784, + "reading": "the retained rank mass" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "retained_profile", + "children_after" + ], + "value": 857622, + "reading": "the retained children" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "retained_profile", + "maxchild" + ], + "value": 21, + "reading": "the largest retained child" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "retained_profile", + "histogram" + ], + "value": { + "1": 377316, + "10": 6066, + "11": 3636, + "12": 12186, + "13": 4878, + "14": 11016, + "15": 2592, + "16": 8964, + "17": 4068, + "18": 4842, + "19": 1944, + "2": 175962, + "20": 15840, + "21": 45054, + "3": 92790, + "4": 28764, + "5": 24210, + "6": 12456, + "7": 12240, + "8": 7542, + "9": 5256 + }, + "reading": "the histogram arithmetic.py prices" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "row_identity" + ], + "value": { + "after": "72*50286 - 3614784 = 5808", + "before": "72*56402 - 4055136 = 5808", + "stock_drop": 6116, + "stock_drop_equals_banks": true + }, + "reading": "the row identity the envelope must satisfy" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "kappa" + ], + "value": "700427501305159/1000000000000000000", + "reading": "the conditional kappa R4's parity test protects" + }, + { + "source": "references/pr219-run1/certificate.json", + "keys": [ + "schedule", + "absorbed_family" + ], + "value": { + "dirt_volume_registers": 440352, + "ledger_bin_per_vertex": 6672, + "normalization_factor": 3, + "occurrences_three_copies": 20016, + "provenance_counts_per_vertex": { + "copied_centre_children": 24, + "physical_internal_chain_jumps": 1320, + "physical_target_jumps": 0, + "source_chain_jumps": 880 + }, + "rank": 22 + }, + "reading": "the family the envelope drops" + }, + { + "source": "references/pr219-run1/obligations.json", + "keys": [ + "obligations", + 3, + "statement" + ], + "value": "Confirm that the paid moment envelope for the modified word is exactly the one arithmetic.py prices: retained child histogram as in schedule.py, stock 50,286 (three-copy normalization), deficit 5,808, worst-case bad fraction 1e-16 and fallback 32*72^2 per retained child, strict adapter and internally borrowed-row tolls paid. Any additional completion child introduced by R1 must be added to the ledger and the kappa recomputed.", + "reading": "R4, word for word, including the recomputation rule" + } + ], + "bodies": [ + { + "file": "envelope.json", + "stream": false, + "anchored_digest": null + }, + { + "file": "integrity.json", + "stream": false, + "anchored_digest": null + } + ], + "gate": { + "test": [ + "A1" + ], + "equals": { + "W_after": 50286, + "deficit": 5808, + "rank_mass_after": 3614784, + "retained_children": 857622, + "maxchild": 21, + "banks": 6116, + "registers": 440352, + "bad_fraction_inverse": 10000000000000000, + "fallback_registers_per_child": 165888, + "kappa": "700427501305159/1000000000000000000" + }, + "at_most": { + "completion_children": 0 + }, + "declares_every_body_on": "integrity.json" + }, + "acceptance": [ + "A1" + ], + "unblocks": [ + "R4" + ] + } + ], + "acceptance_tests": [ + { + "id": "A1", + "name": "body hashes to the published digest", + "test": "every exported body hashes to the digest the word's certificates already published -- the five word bodies, the witness body, and PR205's chart and incidence streams -- and the index bodies, which are declarations, are hashed by the manifest instead", + "bound": "word 1cb7e8ed..., frames ad8e2705..., graph 31a09a55..., chronology 0fab548e..., profile c44ef864..., witness 612f0b91..., word 0728ed1c..., chart 22662b85..., incidence 76bff256...", + "reject_control": "any altered byte fails the hash; a matching hash is evidence of identity, not correctness, and the contract says so" + }, + { + "id": "A2", + "name": "frame-record bijection", + "test": "the selected gauge family is the word's own rank-20 family, and each of its distinct frames is bijectively recorded in the frame table", + "bound": "2,200 selected roles over 220 distinct gauge frames, 24,401 used frames, 17,114 physical roles", + "reject_control": "a frame used by a selected role with no record, or a map that is not a bijection, or an id used twice" + }, + { + "id": "A3", + "name": "charts and factors", + "test": "fraction-free chart inversion and replayed elementary factors on every frame the new blocks use, with the denominator and numerator bounds PR205 published, and the chart stream anchored to the digest PR205 published", + "bound": "max_denominator <= 18, max_abs_numerator <= 5, max_chart_factors <= 171, and the chart stream hashing to 22662b85...", + "reject_control": "a factor that does not replay, a denominator above 18, or a stream that does not hash to the published digest" + }, + { + "id": "A4", + "name": "columns of the banked word", + "test": "the formal columns re-run on the banked word: every source, target and dirty-register column over F2 and over the defining integers, with the rank-22 transitions realized by bank re-assignment instead of paid children", + "bound": "20,634 formal columns and 17,114 dirty columns per direction, 1,760 source and 1,760 target columns, integer residual bound 39,780, packed digit bits 24", + "reject_control": "counts quoted from the certificate instead of coming out of the exported tables, and any column that no longer restores" + }, + { + "id": "A5", + "name": "per-child bijection", + "test": "the exported occurrences map onto the pinned inventory's items -- 6,672 rank-22 ledger children per vertex under the row's factor-3 normalization, 20,016 three-copy items -- onto 6,116 banks of width 72, with no other bin touched", + "bound": "20,016 items over 6,116 x 72 = 440,352 registers, 1,320 + 24 + 880 per vertex", + "reject_control": "an occurrence outside the ledger's rank-22 bin, a block left without its item, or counts that are not the pinned inventory's" + }, + { + "id": "A6", + "name": "incidence colouring", + "test": "the colouring of the new bank incidences with the conflicting assignment rejected, and the incidence stream anchored to the digest PR205 published", + "bound": "154,026 incidences, 45,842 banks, PR205's statistics: swaps 733, longest_swapped_path 11, conflicting_assignment_rejected true, and the stream hashing to 76bff256...", + "reject_control": "a conflicting assignment accepted, or a stream that does not hash to the published digest" + }, + { + "id": "A7", + "name": "prime witnesses", + "test": "distinct integer Gram/prime witnesses for every frame the new blocks use, with residual factors below the retained q bound", + "bound": "24,401 used frames, 24,401 distinct bases, maximum determinant 118 bits, the retained rule q > 2^80", + "reject_control": "a repeated witness, or a factor above the retained bound" + } + ], + "obligation_mapping": { + "R1": [ + "B2", + "B3" + ], + "R2": [ + "B1", + "B4", + "B5" + ], + "R3": [ + "B1", + "B3", + "B5" + ], + "R4": [ + "B2", + "B6" + ] + }, + "not_required": [ + "internal id stability: the word's frame ids are already the canonical annihilator ids (its own conventions say so), so no renumbering map is asked for -- only A2's frame-record bijection", + "program text beyond canonical data: B1 is the word, its frames, its graph, its chronology and its profile, not a listing in the supplier's own language", + "sources for the supplier's own claims: the importer re-runs the columns (A4) and re-charts the frames (A3), so bit.formal's identity and defining_decoder booleans are claims to reproduce, not results", + "a re-derivation of the accounting: the schedule, the whole-bank condition, the retained ledger and the conditional kappa are the pinned package's, and B6 must reproduce them; the one place an export may move a published number is R4's completion child, and then the recomputed kappa must be published and this contract's kappa citation re-anchored", + "the gauge family's own absorption: it is already built and pinned in PR205 and is the precedent here, not a target", + "anchored indexes: the two index bodies are declarations and are not anchored, because the bodies they describe are what carry the digests; the manifest is what ties them together", + "any asymptotic interface: general Clifford/tensor, uniform weighted compilation, restored rows, routing, paid layout, prime supply, precision/recovery and fixed tape stay the stated assumptions they already are, so this contract can buy a completed conditional finite witness and never a theorem" + ], + "import_harness": { + "module": "importer66.py", + "contract": "export-contract-bit.json", + "exports_dir": "exports-bit", + "usage": "python3 -B importer66.py --contract export-contract-bit.json --exports DIR [--checker FILE] [--partial] | --self-test", + "exit_codes": { + "0": "admissible: every body present, the gate green and the pinned replay checker passed", + "1": "a check failed: the report names the test, its bound and what was seen", + "2": "refusing: at least one required body is absent, or the supplied checker is not the one the contract pins, so nothing is run and nothing is certified", + "3": "gate green, replay NOT RUN: no checker was supplied", + "4": "partial: the gate was run on the bodies present, for reporting only; nothing is discharged" + }, + "layers": { + "gate": "decidable from the bodies' declared data: hashes (A1, streams included, hashed as published), cardinalities and the frame-record bijection (A2), the chart and witness bounds (A3, A7), the colouring statistics (A6), the per-child bijection against the pinned inventory (A5) and the column counts that must come out of the exported tables rather than the certificate (A4)", + "replay": "the physics: the formal columns over F2 and over the defining integers, the fraction-free chart replay, the incidence colouring and the moment envelope re-derived. The harness does not reimplement any of it and never claims to have run it: the checker whose digest this contract pins must be supplied, and until it is the replay is reported NOT RUN" + }, + "replay_requirement": { + "checker_digest": "4d7c86cd999a1519e0dfb6dcf33a8f26e442a353c3665a0f06881216a260fbf3", + "checker_source": "source_pins.checker_sha256 of the pinned rank-22 occurrence inventory, references/pr219-run1/inputs/absorbed-occurrences.json", + "why": "the physics is the bit word's own base checker, not a reimplementation, and the inventory is where the word pins it. The complex side's replay checker (lift.checker_sha256 of the PR193 certificate) is a different digest and is not accepted here: the two contracts pin their own supplier's checker" + }, + "anchored_digests_are_of_published_bytes": "hash files as published, gzip bodies and canonical streams included, and read .gz fields after decompressing; a body declared \"stream\" is hashed and never parsed", + "self_test": "--self-test builds synthetic bit bodies in a temporary directory, patches the anchored digests to the synthetic hashes -- streams included, written as they are published -- and then exercises all seven checks, all four refusal codes and the partial report, so the harness is proven to work and to reject while the real bit drop is only part assembled" + }, + "failure_semantics": { + "today": "0 of 6 bodies published by the pins; the drop assembled beside them holds B1 and B3, which the default import still refuses (code 2) and the partial report runs (code 4), so nothing is discharged", + "order_of_discharge": "A1 admits the word and witness bodies and the two streams, so B1 and B3 are real re-runs rather than digests; B2's assignment is the one genuinely new artifact R1 asks for, and schedule.py already supplies the admissible tilings; A4 re-runs R2 on the banked word; A6-A7 close R3; B6 closes R4 by reproducing the retained ledger exactly. If R1 introduces a completion child the kappa moves: the export must then publish the recomputed kappa and this contract's kappa citation must be re-anchored, which is the one edit R4 licenses here", + "never": "no export can make the bound unconditional; see references/pr219-run1/obligations.json -> claim_scope and the complex side's contract for the interfaces this can never buy" + }, + "status": "CONTRACT PUBLISHED AND MACHINE-CHECKED: verify.py -> check_bit_export_contract resolves every citation against the pinned bytes, asserts the state of the drop, that its eight anchored bodies are the published bytes and that the gate decides A2 and A3 on them while refusing the rest; importer66.py --contract export-contract-bit.json --self-test proves the gate on synthetic bit bodies and the partial report on the real drop" +} diff --git a/research/complex-bank-run3/export-contract-rank3.json b/research/complex-bank-run3/export-contract-rank3.json new file mode 100644 index 0000000000..45985fbd4a --- /dev/null +++ b/research/complex-bank-run3/export-contract-rank3.json @@ -0,0 +1,1550 @@ +{ + "acceptance_tests": [ + { + "bound": "5 audit source digests (layer.audit_source_sha256), max_denominator 2, the assignment table digest 71cb207f763fba75", + "id": "A1", + "name": "body hashes to the published digest", + "reject_control": "any altered byte fails the hash; a matching hash is evidence of identity, not correctness", + "test": "every exported body hashes to a digest the row or this package already published, and the row's own audit sources are declared by digest" + }, + { + "bound": "89892 items, 4086 banks, 22 blocks per bank, padding 0", + "id": "A2", + "name": "the assignment is a bijection with no padding", + "reject_control": "an item placed twice, a block left without its item, or a bank with an unused register -- the padding the old rungs 3 and 4 need at ranks 16 and 20 would fail here, which is what makes \"no padding\" a test rather than a remark", + "test": "the exported map is a bijection from the 89892 items onto 4086 banks x 22 blocks x 3 registers, every bank uses all 66 registers, and the per-copy table carries 1362 banks" + }, + { + "bound": "children 635067 -> 545175, mass 2382336 -> 2112660 (drop 269676 = 4086 banks x 66), stock 36156 -> 32070 (drop 4086), maxchild 20 unchanged", + "id": "A3", + "name": "no other bin of the ledger moves", + "reject_control": "a single child of another bin moving, or a stock drop that is not the bank count", + "test": "the retained row differs from the row exactly by the rank-3 bin: the children fall by the family's own count, the families from 20 to 19, the mass by exactly banks * width and the stock by exactly the bank count, and the retained histogram reproduces its digest" + }, + { + "bound": "coarse 417325324839139/500000000000000000 = 8.346506496783e-04, leaf 728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 = 7.282510899902e-04, kappa 1819302815717/2500000000000000 = 7.277211262868e-04, binding bit, complex ceiling 8.339545889388e-04, tightest of the 47 constraints 7.282511e-28 (= budget * eta), adjacent point rejected True, gain over the published top (711599961413937/1000000000000000000) +2.2655%", + "id": "A4", + "name": "the retained row re-prices the top, bit-bound", + "reject_control": "quoting the row's own coarse saving (3549537/5000000000) or the row's own kappa (6768823/10000000000), or a point whose next 10^-18 step also assembles", + "test": "the retained envelope reproduces the rung's coarse saving, the next 10^-18 grid point up is excluded by the interval moment, the budget is the bit leaf (so the complex branch does not bind), the 47-constraint assembly is green at that budget and rejects its own adjacent grid point, and the kappa is the assembly rule's floor on the grid" + }, + { + "bound": "1320 source columns, 1320 target rows, 13372 dirty columns per direction, packed_digit_bits 24, 2310 pairs, read_counts {'center': 22, 'deferred': 2310, 'side': 3135}", + "id": "A5", + "name": "the columns of the modified word", + "reject_control": "counts quoted from the row instead of coming out of the exported tables, or a control run that reports PASS", + "test": "every source, target and dirty-register column over F2 and over the defining integers, in both directions, with the target chronology nested, the source controls at paid-parity frames and both mutation controls rejected" + }, + { + "bound": "PR205 precedent: swaps 733, longest_swapped_path 11, physical_roles 17114; this rung's incidences 269676", + "id": "A6", + "name": "the incidence colouring", + "reject_control": "a conflicting assignment accepted", + "test": "the new bank incidences are coloured with a two-colouring and a conflicting assignment is rejected, at the fraction-free chart inversion" + }, + { + "bound": "the retained prime threshold (PR205: 17114 physical roles, all used frames witnessed); this rung's charts 89892", + "id": "A7", + "name": "the prime witnesses", + "reject_control": "a repeated witness, or a factor above the bound", + "test": "distinct integer Gram/prime witnesses for every frame the new blocks use, residual factors below the retained q bound" + } + ], + "contract": "the rank-3 rung's export contract: what the supplier's program must publish for the rank-3 family of PR233's row to become a bank increment, C1-C7 restated at this rung", + "failure_semantics": { + "never": "no export can make the bound unconditional; see obligations.json -> unconditionality. And no export can make this rung's row merged: the row is pinned by digest to an unmerged branch, and this contract is a target.", + "order_of_discharge": "A1 admits the anchored bodies and G2's normalizer becomes a re-assignment over published frames; A2 makes the assignment a bijection with no padding; A3 closes the inventory and the item-to-block half of C1; A5 re-runs C2; A4 closes C4 and R4; A6 and A7 close C3.", + "today": "0 of 6 bodies: the import fails closed, the rung stays a scheduled target and the kappa keeps its conditional flag. The combinatorial half is the exception and it is on this package's side of the interface (occurrences-rank3.json)." + }, + "import_harness": { + "anchored_digests_are_of_published_bytes": "hash files as published, gzip bodies and canonical streams included, and read .gz fields after decompressing", + "contract": "export-contract-rank3.json", + "exit_codes": { + "0": "admissible: every body present, the gate green and the pinned replay checker passed", + "1": "a check failed: the report names the test, its bound and what was seen", + "2": "refusing: at least one required body is absent, or the supplied checker is not the one the contract pins, so nothing is run and nothing is certified", + "3": "gate green, replay NOT RUN: no checker was supplied", + "4": "partial: the gate was run on the bodies present, for reporting only; nothing is discharged" + }, + "exports_dir": "exports-rank3", + "layers": { + "gate": "decidable from the bodies' declared data: the hashes and the manifest (A1), the item-to-block bijection, the counts and the instanced table digest (A2), the row's own rank-3 count (A3), the retained envelope, the histogram digest and the point (A4), the column counts that must come out of the exported tables and the row's read counts (A5), the colouring control and the precedent it is compared against (A6) and the witnesses (A7). The importer runs these checks and only these; every one of them is exercised by --self-test", + "replay": "the physics: the formal columns over F2 and the defining integers, the fraction-free chart replay, the incidence colouring and the moment envelope re-derived. The harness does not reimplement any of it and never claims to have run it" + }, + "module": "importer66.py", + "replay_requirement": { + "checker_digest": null, + "checker_source": "none: the row this rung is priced on publishes no checker digest", + "resolves_to": "a checker digest the row would have to publish; when it does, this field becomes that digest and the replay becomes runnable", + "why": "the general contract (export-contract.json -> E3) pins the supplier's own checker by digest because that certificate publishes one (lift.checker_sha256). This row does not, and that is a reading rather than a gap in the harness: a walk of the pinned bytes finds no key containing \"checker\" anywhere in the certificate, and its nearest published evidence is layer.audit_source_sha256, five source digests, which is a digest set and not a checker. So there is no digest for the harness to accept: with no checker supplied the replay is reported NOT RUN (exit 3), and a checker that is supplied cannot match and the import is refused (exit 2). verify.py asserts the absence against the pinned bytes." + }, + "self_test": "--self-test builds synthetic rank-3 bodies in a temporary directory, patches the anchored digests to the synthetic hashes -- streams included, written as they are published -- and exercises every declared check, all four refusal codes and the partial report, so the gate is proven to work and to reject while the real bodies are absent", + "usage": "python3 -B importer66.py --contract export-contract-rank3.json --exports DIR [--checker FILE] [--partial] | --self-test" + }, + "inherited": [ + { + "id": "R1", + "name": "bit-side residual-type definition and bank blocks", + "source": "research/complex-bank-run2/references/pr219-run1/obligations.json (PR219 head 237067f)", + "status": "OPEN" + }, + { + "id": "R2", + "name": "bit-side formal columns of the modified word", + "source": "research/complex-bank-run2/references/pr219-run1/obligations.json (PR219 head 237067f)", + "status": "OPEN" + }, + { + "id": "R3", + "name": "bit-side charts, routing and prime witnesses", + "source": "research/complex-bank-run2/references/pr219-run1/obligations.json (PR219 head 237067f)", + "status": "OPEN" + }, + { + "id": "R4", + "name": "bit-side moment-envelope parity", + "source": "research/complex-bank-run2/references/pr219-run1/obligations.json (PR219 head 237067f)", + "status": "OPEN" + } + ], + "machine_read": { + "about": "what the row publishes as *bodies*, read out of the pinned file rather than assumed: this is what makes the 0-of-6 below a reading rather than a verdict", + "assignment_keys": [], + "audit_source_digests": [ + "notes/general-clifford-frames.tex", + "research/paired-cube-diagonal-bit-168/complex/physical.py", + "research/paired-cube-diagonal-bit-168/complex/verify_fused.py", + "scripts/paired_cube/frames.py", + "scripts/paired_cube_physical.py" + ], + "bank_keys": [], + "note": "the row certificate carries the word's formal columns, the fused physical candidate and the accounting. It carries no bank key, no assignment key and no occurrence key: the map instanced by this package (occurrences-rank3.json) has no counterpart in the row, and the normalizer (C1's physical half) has no exported projector to move.", + "occurrence_keys": [] + }, + "not_required": [ + "internal id stability: only a canonical renumbering map and the bijection test A2", + "program text beyond canonical data: G2 is nodes, kinds, edges and spans", + "sources for the row's own claims: the importer re-runs the columns (A5) and re-charts the frames (A6), so a boolean in contract_checks is a claim to reproduce", + "the padding the old rungs 3 and 4 need: rank 3 divides the width, so this rung's bank is exactly filled and A2 rejects a padding register rather than asking for one", + "anything about the retained row's further families (C6, C7): they are the next rung's business and are named only so the contract does not look exhaustive", + "any asymptotic interface: general Clifford/tensor, uniform weighted compilation, restored rows, routing, paid layout, prime supply, precision/recovery and fixed tape stay the stated assumptions they already are" + ], + "obligation_mapping": { + "C1": [ + "G1", + "G2", + "G3", + "G5" + ], + "C2": [ + "G3" + ], + "C3": [ + "G4" + ], + "C4": [ + "G6" + ], + "C5": [ + "G5" + ], + "C6": [ + "G5" + ], + "C7": [ + "G5" + ] + }, + "obligations_restated": [ + { + "at_this_rung": "build the 4086 banks of width 66 and the normalizer that sends each of the 89892 items' true residual projectors to its assigned block. The combinatorial half is instanced here (G1's bijection target, occurrences-rank3.json); the physical half is G2 and is open.", + "exports": [ + "G1", + "G2", + "G3", + "G5" + ], + "id": "C1", + "quote": { + "keys": [ + "obligations", + 0, + "statement" + ], + "source": "obligations.json", + "value": "Build the bank construction on the complex supplier: banks of width 66 hosting the rank-11 items, with the normalizer that sends each item's true residual projector to its assigned block, the per-bank block assignment (six rank-11 blocks per bank, since 66 = 6 x 11) and the hashed item-to-bank/offset map for all 531 three-copy banks (177 one copy). The pins contain no bank construction for the complex supplier: its certificate has no bank keys at all, and the only banked word in the pins is the bit word's entrance-gauge pack of PR205/PR206 (width 72, rank-60 exteriors, 6,116 banks)." + }, + "status": "OPEN_PHYSICAL_HALF_INSTANCED_COMBINATORIAL_HALF" + }, + { + "at_this_rung": "re-run the formal columns on the word after the rank-3 family leaves: the row already publishes the counts this must reproduce (1320 source, 1320 target, 13372 dirty per direction), and the exported tables are what A5 reads them out of.", + "exports": [ + "G3" + ], + "id": "C2", + "quote": { + "keys": [ + "obligations", + 1, + "statement" + ], + "source": "obligations.json", + "value": "Re-run the complete formal-column checks on the complex word after the re-assignment: every source, target and dirty-register column over F2 and over the defining integers, with the rank-11 transitions realized by bank re-assignment instead of paid children, and the exact scalar program / lift certificate re-derived rather than compared as a container digest." + }, + "status": "OPEN" + }, + { + "at_this_rung": "charts, colouring and witnesses for the 89892 new blocks and their 269676 incidences. Rank 3 divides the width, so the blocks are uniform and no padding frame is introduced -- a simpler chart set than the padded schedule's.", + "exports": [ + "G4" + ], + "id": "C3", + "quote": { + "keys": [ + "obligations", + 2, + "statement" + ], + "source": "obligations.json", + "value": "Exact charts (integer kernel bases with fraction-free inverses and replayed elementary factors) for every new complex block frame, the incidence colouring of the new bank incidences, and distinct integer Gram/prime witnesses for every frame the new blocks use, with residual factors below the retained q bound." + }, + "status": "OPEN" + }, + { + "at_this_rung": "the envelope parity at this rung's numbers: retained three-copy stock 32070, deficit 3960, mass 2112660, children 545175, families 19, histogram digest 6e825f3357ba0935; the coarse saving is 417325324839139/500000000000000000 and the kappa is bit-bound at 1819302815717/2500000000000000.", + "exports": [ + "G6" + ], + "id": "C4", + "quote": { + "keys": [ + "obligations", + 3, + "statement" + ], + "source": "obligations.json", + "value": "Confirm that the paid moment envelope for the modified complex word is exactly the one priced here: retained three-copy stock 35,625 (one copy 11,875), deficit 3,960 (one copy 1,320), the retained child histogram of ledger.py's absorbed row, and no rare-class fallback on the complex side (the convention #219 uses there). Any completion child C1 introduces must re-enter the ledger and the kappa be recomputed." + }, + "status": "OPEN" + }, + { + "at_this_rung": "the rank-3 family's provenance: 29964 children per vertex, 89892 items onto 4086 banks x 22 blocks, each with its frame or chain identity. The addresses exist (occurrences-rank3.json); the identity does not, and that is what G5 adds.", + "exports": [ + "G5" + ], + "id": "C5", + "quote": { + "keys": [ + "obligations", + 4, + "statement" + ], + "source": "obligations.json", + "value": "Enumerate the rank-11 items: for each of the 1,062 per-vertex children of the complex ledger's bin 11, the frame/chain occurrence it comes from, with a checked bijection onto the 3,186 three-copy occurrences and a proof that no other bin is touched. The pins contain no such inventory; the only occurrence inventory they hold is #219's bit-side inputs/absorbed-occurrences.json for the rank-22 bin, which is what makes #219's R1 a closed checklist." + }, + "status": "INVENTORY_INSTANCED_AT_SCHEDULE_LEVEL" + }, + { + "at_this_rung": "on the retained row the next whole-bank family is rank 4 (2094 banks), rank 18 (6480 banks), rank 20 (60 banks): 8634 banks by the volume criterion at its capacity bound, and it does not divide the width, so this one still owes the padded tiling T1 as well as its provenance. Outside this rung's scope by construction.", + "exports": [ + "G5" + ], + "id": "C6", + "quote": { + "keys": [ + "obligations", + 5, + "statement" + ], + "source": "obligations.json", + "value": "Enumerate the complex word's rank-16 child family: its 264 occurrences per vertex (792 over the three copies), their frame or chain identity, a bijection onto the 792 three-copy blocks the absorption of rung 3 needs (four per bank over 198 banks), and a proof that no other bin of the ledger moves. Nothing in the pins enumerates this family, exactly as nothing enumerates the rank-11 family of PR224 or the rank-22 bin of PR219's bit-side absorption, whose inventory (inputs/absorbed-occurrences.json) is what made that rung a closed checklist." + }, + "status": "OPEN_NOT_THIS_RUNG" + }, + { + "at_this_rung": "the same, for the families beyond: the retained row's eligibility is [4, 18, 20], and every one of them fails rank-divides-width, so the padding of T1 stays owed after this rung. Outside its scope.", + "exports": [ + "G5" + ], + "id": "C7", + "quote": { + "keys": [ + "obligations", + 6, + "statement" + ], + "source": "obligations.json", + "value": "The same enumeration for the rank-20 family: 66 occurrences per vertex (198 over the three copies) onto the 198 three-copy blocks of rung 4 (three per bank over 66 banks), with the same no-other-bin-moves proof." + }, + "status": "OPEN_NOT_THIS_RUNG" + } + ], + "our_side": { + "about": "the half of this contract that does exist, in this package, and is the bijection target the export is checked against", + "allowed_to_move": { + "beats_pinned_frontier": "True", + "beats_published_top": "True", + "gain_vs_published_top": "16121164872863/711599961413937", + "kappa": "1819302815717/2500000000000000", + "pinned_frontier": "1366380910073/2000000000000000", + "publication_status": "the rung is a derived target on an unmerged row: this contract states what it would take, and the comparison below is against numbers this package already publishes", + "published_top": "711599961413937/1000000000000000000", + "published_top_kappa": "711599961413937/1000000000000000000", + "rung_kappa": "1819302815717/2500000000000000", + "why": "one number in this contract is derived and not published today: the point below. The row's PR is not merged, so certificate.json still carries the old ladder's kappa, and the contract must be read as a target rather than as a claim." + }, + "assignment": { + "address_rule": "item i -> bank i // k, block i % k, offset (i % k) * rank", + "bank_table_digest": "71cb207f763fba75285d829241d330d3210d619f0adf3b79114305a0bf0d9f6c", + "banks": 4086, + "capacity_per_bank": 22, + "children_per_vertex": 29964, + "copies": 3, + "family": 3, + "first_addresses": [ + { + "bank": 0, + "block": 0, + "item": 0, + "offset": 0, + "padding_registers": [], + "registers": 3 + }, + { + "bank": 0, + "block": 1, + "item": 1, + "offset": 3, + "padding_registers": [], + "registers": 3 + } + ], + "items": 89892, + "last_address": { + "bank": 4085, + "block": 21, + "item": 89891, + "offset": 63, + "padding_registers": [], + "registers": 3 + }, + "padding_blocks_per_bank": 0, + "padding_per_bank": 0, + "padding_registers": 0 + }, + "body": "occurrences-rank3.json", + "citations": [ + { + "keys": [ + "assignment", + "items" + ], + "source": "occurrences-rank3.json", + "value": 89892 + }, + { + "keys": [ + "assignment", + "banks" + ], + "source": "occurrences-rank3.json", + "value": 4086 + }, + { + "keys": [ + "banks_per_copy" + ], + "source": "occurrences-rank3.json", + "value": 1362 + }, + { + "keys": [ + "assignment", + "padding_registers" + ], + "source": "occurrences-rank3.json", + "value": 0 + }, + { + "keys": [ + "ledger", + "stock_drop" + ], + "source": "occurrences-rank3.json", + "value": 4086 + } + ], + "ledger": { + "banks": 4086, + "children_after": 545175, + "children_before": 635067, + "families_after": 19, + "families_before": 20, + "mass_after": 2112660, + "mass_before": 2382336, + "maxchild_after": 20, + "maxchild_before": 20, + "retained_W": 32070, + "retained_deficit": 3960, + "retained_histogram_digest": "6e825f3357ba09352d6eee2a190895f414e5f9a83d0ff4772a7d002aae470bc4", + "retained_mass": 2112660, + "share_of_ledger": "681/6016", + "stock_after": 32070, + "stock_before": 36156, + "stock_drop": 4086, + "volume": 269676 + }, + "module": "instantiate_rank3.py", + "remaining_whole_bank_families": [ + { + "banks": 2094, + "blocks_per_bank": null, + "children": 34551, + "divides_width": false, + "family": 4, + "volume": 138204 + }, + { + "banks": 6480, + "blocks_per_bank": null, + "children": 23760, + "divides_width": false, + "family": 18, + "volume": 427680 + }, + { + "banks": 60, + "blocks_per_bank": null, + "children": 198, + "divides_width": false, + "family": 20, + "volume": 3960 + } + ], + "retained_eligibility": [ + 4, + 18, + 20 + ], + "still_owed": "the physical half of C1 (the normalizer), the provenance half of C5 (each child's frame or chain identity) and C2-C4: see still_owed below" + }, + "point": { + "about": "the price of the retained row, derived here and not published: the row's PR is not merged, so this is the target the contract is addressed to", + "adjacent_grid_rejected": true, + "assembly": { + "constraints": 47, + "margins": 7, + "reading": "all 47 strict constraints are positive, and the tightest is the design backoff rather than room: with the budget at the bit leaf the assembly is exactly as green as its own eta.", + "tightest_constraint": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "tightest_constraint_decimal": 7.282510899902281e-28, + "tightest_constraint_name": "lambda - tau = budget * eta (the design backoff)" + }, + "beats_frontier": true, + "beats_published_top": true, + "binding": "bit", + "bit_leaf_headroom": "0", + "budget": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "budget_is_the_leaf": true, + "ceiling_gap": "132902663100797642737214052337/1251043313312097847500000000000000", + "coarse": "417325324839139/500000000000000000", + "coarse_decimal": 0.000834650649678278, + "complex_branch": "417325324839138999999999582174675160861/500000000000000000000000000000000000000000", + "complex_branch_decimal": 0.000834650649678278, + "complex_ceiling": "417325324839139/500417325324839139", + "complex_ceiling_decimal": 0.000833954588938818, + "frontier_kappa": "1366380910073/2000000000000000", + "frontier_kappa_decimal": 0.0006831904550365, + "frontier_source": "references/pr207-coordinated-crossover.certificate.json -> kappa: the pinned frontier this package prices against, and the number the comparison is made against offline", + "gain_vs_frontier": "445306712503/6831904550365", + "gain_vs_frontier_percent": 6.518046457180218, + "gain_vs_published_top": "16121164872863/711599961413937", + "gain_vs_published_top_percent": 2.2654814147025135, + "kappa": "1819302815717/2500000000000000", + "kappa_decimal": 0.0007277211262868, + "leaf": "728251089990228079570667060334898259823066154658013234139282580595702841889832933964476516783/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "leaf_decimal": 0.0007282510899902281, + "next_excluded": "834650649678279/1000000000000000000", + "next_excluded_bound_above_one": true, + "published_top_kappa": "711599961413937/1000000000000000000", + "reading": "after this rung the complex branch no longer binds: the budget is the bit leaf, so the rung is bit-bound and the next lever is the leaf, not the supplier. The complex ceiling is still 1.062335e-04 above the kappa, which is why the rung is not ceiling-tight the way the published ladder's rungs are." + }, + "precedent": { + "banked_word_export_shape": { + "citations": [ + { + "keys": [ + "physical", + "m" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 72 + }, + { + "keys": [ + "physical", + "banks" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 45842 + }, + { + "keys": [ + "physical", + "physical_roles" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 17114 + }, + { + "keys": [ + "physical", + "color_stats", + "swaps" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 733 + }, + { + "keys": [ + "physical", + "color_stats", + "longest_swapped_path" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 11 + }, + { + "keys": [ + "physical", + "status" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": "PASS exact actual-chain chart and incidence checks" + } + ], + "reading": "the one banked word in the pins publishes its physical layer as counts, digests and a colouring status: that is the shape G1 and G4 must reach on this row's 4,086 banks" + }, + "occurrence_inventory_shape": { + "citations": [ + { + "keys": [ + "counts_per_vertex", + "ledger_bin_22_per_vertex" + ], + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "value": 6672 + }, + { + "keys": [ + "counts_per_vertex", + "normalization_factor_in_row" + ], + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "value": 3 + }, + { + "keys": [ + "row_identity_per_vertex", + "m" + ], + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "value": 72 + }, + { + "keys": [ + "source_pins", + "package" + ], + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "value": "research/paired-cube-diagonal-bit-168" + } + ], + "reading": "#219's bit-side inventory is the format precedent for G5: counts per vertex, occurrences as integer tuples per kind, the row identity, and the source pins that tie the inventory to the word it was enumerated on" + }, + "the_contract_this_specialises": { + "citations": [ + { + "keys": [ + "today", + "of_required" + ], + "source": "export-contract.json", + "value": 6 + }, + { + "keys": [ + "required_exports", + 0, + "id" + ], + "source": "export-contract.json", + "value": "E1" + }, + { + "keys": [ + "acceptance_tests", + 6, + "id" + ], + "source": "export-contract.json", + "value": "A7" + } + ], + "reading": "this package's complex-side contract is the general form; this file is that contract instantiated at one rung, with the rung's own numbers" + } + }, + "required_exports": [ + { + "acceptance": [ + "A1", + "A2", + "A3" + ], + "bodies": [ + { + "anchored_digest": null, + "file": "assignment.json", + "stream": false + } + ], + "cardinality": { + "banks": 4086, + "banks_per_copy": 1362, + "blocks_per_bank": 22, + "items": 89892, + "padding_per_bank": 0, + "padding_registers": 0, + "registers_per_bank": 66, + "registers_per_block": 3 + }, + "form": "JSON, integers only: `item_to_block`, one entry per item carrying its address as [bank, block, offset]; `bank_table`, the per-bank block layout; the counts `items`, `banks`, `blocks_per_bank`, `registers_per_block`, `registers_per_bank`, `banks_per_copy`, `padding_per_bank` and `padding_registers`; and `bank_table_digest`, the digest over the whole table", + "gate": { + "bijection": [ + "item_to_block" + ], + "equals": { + "banks": 4086, + "banks_per_copy": 1362, + "blocks_per_bank": 22, + "items": 89892, + "padding_per_bank": 0, + "padding_registers": 0, + "registers_per_bank": 66, + "registers_per_block": 3 + }, + "equals_in": [ + { + "body_key": "bank_table", + "fields": [ + "items", + "banks", + "capacity_per_bank", + "padding_per_bank", + "bank_table_digest" + ], + "keys": [ + "assignment" + ], + "per_key_of_body": true, + "source": "occurrences-rank3.json", + "why": "the export must name the same items, banks, capacity and table digest this package has already instanced from the addressing rule, which is what makes A2 a bijection against that rule rather than a count of it" + } + ], + "test": [ + "A2" + ] + }, + "id": "G1", + "must_reproduce": [ + { + "keys": [ + "assignment", + "bank_table_digest" + ], + "source": "occurrences-rank3.json", + "value": "71cb207f763fba75285d829241d330d3210d619f0adf3b79114305a0bf0d9f6c" + }, + { + "keys": [ + "assignment", + "items" + ], + "source": "occurrences-rank3.json", + "value": 89892 + }, + { + "keys": [ + "assignment", + "banks" + ], + "source": "occurrences-rank3.json", + "value": 4086 + } + ], + "name": "the assignment and the bank table", + "publishes": "the item-to-bank/block/offset map for all 89892 three-copy items of the rank-3 family onto 4086 banks x 22 blocks x 3 registers, the per-bank layout of all 66 registers (none of them padding), the per-copy table of 1362 banks, and a digest over the whole table", + "unblocks": [ + "C1", + "C5" + ] + }, + { + "acceptance": [ + "A1", + "A5" + ], + "bodies": [ + { + "anchored_digest": null, + "file": "normalizer.json", + "stream": false + } + ], + "cardinality": { + "audit_sources": 5, + "banks": 4086, + "items_moved": 89892, + "max_denominator": "2", + "nodes": 18532, + "physical_R": 9412 + }, + "form": "JSON, integers only: the program as `nodes`, `physical_R` and the node and edge records themselves; `items_moved` and `banks`, the two counts the re-assignment reaches; and `audit_source_digests`, the digest set the export is audited against", + "gate": { + "at_most": { + "max_denominator": 2 + }, + "equals": { + "banks": 4086, + "items_moved": 89892, + "nodes": 18532, + "physical_R": 9412 + }, + "equals_in": [ + { + "body_key": "audit_source_digests", + "keys": [ + "layer", + "audit_source_sha256" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "why": "the normalizer must be audited against the sources the row itself audits against: the digest set is the row's published one, not a count of it" + } + ], + "test": [ + "A1", + "A5" + ] + }, + "id": "G2", + "must_reproduce": [ + { + "keys": [ + "lift", + "nodes" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 18532 + }, + { + "keys": [ + "lift", + "physical_R" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 9412 + }, + { + "keys": [ + "lift", + "max_denominator" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "2" + } + ], + "name": "the normalizer", + "publishes": "the literal operation program of this layer in canonical order -- per node its canonical id, kind, incoming and outgoing edge ids and span -- together with the map that sends each of the 89892 items' true residual projectors to the block G1 assigns it", + "unblocks": [ + "C1" + ] + }, + { + "acceptance": [ + "A5" + ], + "bodies": [ + { + "anchored_digest": null, + "file": "columns.json", + "stream": false + } + ], + "cardinality": { + "checked_source_columns": 1320, + "checked_target_rows": 1320, + "dirty_columns": 13372, + "packed_digit_bits": 24 + }, + "form": "JSON tables of integer addresses under `tables`, one row per column, plus the summary counts `checked_source_columns`, `checked_target_rows`, `checked_dirty_columns`, `packed_digit_bits`, `pairs` and `read_counts`", + "gate": { + "counted_in_tables": { + "dirty_columns": "checked_dirty_columns", + "source_columns": "checked_source_columns", + "target_rows": "checked_target_rows" + }, + "equals": { + "checked_dirty_columns": 13372, + "checked_source_columns": 1320, + "checked_target_rows": 1320, + "packed_digit_bits": 24, + "pairs": 2310 + }, + "equals_in": [ + { + "body_key": "read_counts", + "keys": [ + "contract_checks", + "read_counts" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "why": "the centre, deferred and side read counts the row publishes, reproduced verbatim: A5 is a re-run of the columns, so the counts it was driven by are part of the body" + } + ], + "test": [ + "A5" + ] + }, + "id": "G3", + "must_reproduce": [ + { + "keys": [ + "contract_checks", + "checked_source_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "contract_checks", + "checked_target_rows" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "contract_checks", + "read_counts" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": { + "center": 22, + "deferred": 2310, + "side": 3135 + } + }, + { + "keys": [ + "layer", + "formal", + "columns", + 0, + "dirty_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 13372 + }, + { + "keys": [ + "layer", + "pairs" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 2310 + }, + { + "keys": [ + "layer", + "mutations" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": { + "early-read": "REJECTED", + "missing-read": "REJECTED" + } + } + ], + "name": "the program and the columns of the modified word", + "publishes": "the renumbered program and the complete formal-column checks re-run on the word after the re-assignment: every source, target and dirty-register column over F2 and over the defining integers, with the target chronology nested, the source controls at paid-parity frames, and the two mutation controls rejected", + "unblocks": [ + "C2", + "C1" + ] + }, + { + "acceptance": [ + "A6", + "A7" + ], + "bodies": [ + { + "anchored_digest": null, + "file": "charts.index.json.gz", + "stream": false + }, + { + "anchored_digest": null, + "file": "charts.json", + "stream": true + }, + { + "anchored_digest": null, + "file": "incidence.json", + "stream": true + }, + { + "anchored_digest": null, + "file": "prime-witnesses.json.gz", + "stream": false + } + ], + "cardinality": { + "charts": 89892, + "incidences": 269676, + "max_denominator": "2", + "physical_roles": 17114 + }, + "form": "JSON bodies per chart, plus an index carrying the counts `charts` and `incidences`, the colouring `color_stats`, the control flag `conflicting_assignment_rejected` and the witness table `prime_witnesses` with its bound `q_bound`; the two streams are published byte-for-byte", + "gate": { + "at_most": { + "max_denominator": 2 + }, + "distinct_below": { + "bound": "q_bound", + "witnesses": "prime_witnesses" + }, + "equals": { + "charts": 89892, + "incidences": 269676 + }, + "equals_in": [ + { + "body_key": "color_stats", + "fields": [ + "swaps", + "longest_swapped_path" + ], + "keys": [ + "physical", + "color_stats" + ], + "per_key_of_body": true, + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "why": "the only incidence colouring in the pins is the bit word's, and its two numbers are what a new colouring is compared against: the export must reproduce them rather than report a status" + } + ], + "flags_true": [ + "conflicting_assignment_rejected" + ], + "test": [ + "A6", + "A7" + ] + }, + "id": "G4", + "must_reproduce": [ + { + "keys": [ + "lift", + "max_denominator" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "2" + }, + { + "keys": [ + "physical", + "physical_roles" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 17114 + }, + { + "keys": [ + "physical", + "color_stats", + "swaps" + ], + "source": "references/pr219-run1/references/pr205-packed.certificate.json", + "value": 733 + } + ], + "name": "charts, colouring and prime witnesses", + "publishes": "exact charts (integer kernel bases, fraction-free inverses, replayed elementary factors) for every frame the new bank blocks use, the incidence colouring of the 269676 new bank incidences, and distinct integer Gram/prime witnesses for every one of those frames", + "unblocks": [ + "C3" + ] + }, + { + "acceptance": [ + "A3" + ], + "bodies": [ + { + "anchored_digest": null, + "file": "children.json", + "stream": false + } + ], + "cardinality": { + "banks": 4086, + "blocks_per_bank": 22, + "children_per_vertex": 29964, + "items": 89892 + }, + "form": "JSON: counts_per_vertex, occurrences_per_vertex, row_identity_per_vertex, source_pins, and the re-assignment counts `children_per_vertex`, `items`, `banks`, `blocks_per_bank` and `registers_per_block`", + "gate": { + "equals": { + "banks": 4086, + "blocks_per_bank": 22, + "children_per_vertex": 29964, + "items": 89892, + "registers_per_block": 3 + }, + "equals_in": [ + { + "body_key": "counts_per_vertex", + "fields": [ + "3" + ], + "keys": [ + "complex_profile", + "child_histogram" + ], + "per_key_of_body": true, + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "why": "the export must carry the row's own rank-3 count, read out of the row's histogram rather than from this contract: that is what makes the inventory a bijection with the enumerated occurrences rather than a restatement" + } + ], + "test": [ + "A3" + ] + }, + "id": "G5", + "must_reproduce": [ + { + "keys": [ + "complex_profile", + "child_histogram", + "3" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 29964 + }, + { + "keys": [ + "counts_per_vertex", + "normalization_factor_in_row" + ], + "source": "references/pr219-run1/inputs/absorbed-occurrences.json", + "value": 3 + }, + { + "keys": [ + "assignment", + "items" + ], + "source": "occurrences-rank3.json", + "value": 89892 + }, + { + "keys": [ + "assignment", + "banks" + ], + "source": "occurrences-rank3.json", + "value": 4086 + } + ], + "name": "the per-child provenance inventory", + "publishes": "one entry per child of the rank-3 family with its frame or chain identity, in the shape of the pinned bit-side inventory: counts per vertex, occurrences as integer tuples per kind, the row identity, and the source pins that tie the inventory to the word it was enumerated on", + "unblocks": [ + "C5", + "C6", + "C7", + "C1" + ] + }, + { + "acceptance": [ + "A4" + ], + "bodies": [ + { + "anchored_digest": null, + "file": "envelope.json", + "stream": false + }, + { + "anchored_digest": null, + "file": "integrity.json", + "stream": false + } + ], + "cardinality": { + "banks": 4086, + "retained_children": 545175, + "retained_deficit": 3960, + "retained_families": 19, + "retained_mass": 2112660, + "retained_stock": 32070 + }, + "form": "JSON envelope plus manifest. The envelope carries the retained counts `retained_stock`, `retained_deficit`, `retained_mass`, `retained_children` and `retained_families`, the bank count, the retained histogram digest, and the rung's own point as exact fraction strings `coarse` and `kappa` with `binding`; the manifest is `integrity.json`, one digest per published body", + "gate": { + "declares_every_body_on": "integrity.json", + "equals": { + "banks": 4086, + "binding": "bit", + "coarse": "417325324839139/500000000000000000", + "kappa": "1819302815717/2500000000000000", + "retained_children": 545175, + "retained_deficit": 3960, + "retained_families": 19, + "retained_mass": 2112660, + "retained_stock": 32070 + }, + "equals_in": [ + { + "body_key": "retained_histogram_digest", + "keys": [ + "ledger", + "retained_histogram_digest" + ], + "source": "occurrences-rank3.json", + "why": "the retained histogram is the one object of this rung the contract can compare byte for byte: the envelope must carry the digest of the row the absorption induces, so a single child moving in any other bin is caught by the gate rather than by the physics" + } + ], + "test": [ + "A4" + ] + }, + "id": "G6", + "must_reproduce": [ + { + "keys": [ + "ledger", + "retained_W" + ], + "source": "occurrences-rank3.json", + "value": 32070 + }, + { + "keys": [ + "ledger", + "retained_deficit" + ], + "source": "occurrences-rank3.json", + "value": 3960 + }, + { + "keys": [ + "ledger", + "retained_mass" + ], + "source": "occurrences-rank3.json", + "value": 2112660 + }, + { + "keys": [ + "ledger", + "retained_histogram_digest" + ], + "source": "occurrences-rank3.json", + "value": "6e825f3357ba09352d6eee2a190895f414e5f9a83d0ff4772a7d002aae470bc4" + } + ], + "name": "the envelope and the integrity manifest", + "publishes": "the paid moment envelope of the retained row in the form arithmetic.py consumes (retained stock, deficit, the retained histogram, the worst-case bad fraction, the convention's fallback), plus every digest of G1-G5 and the list of acceptance predicates actually run", + "unblocks": [ + "C4", + "R4" + ] + } + ], + "rung": { + "citations": [ + { + "keys": [ + "complex_profile", + "m" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 66 + }, + { + "keys": [ + "complex_profile", + "W_per_vertex" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 12052 + }, + { + "keys": [ + "complex_profile", + "deficit_per_vertex" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "complex_profile", + "rank_per_vertex" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 794112 + }, + { + "keys": [ + "complex_saving" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "3549537/5000000000" + }, + { + "keys": [ + "kappa" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "6768823/10000000000" + }, + { + "keys": [ + "binding" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "bit" + }, + { + "keys": [ + "lift", + "nodes" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 18532 + }, + { + "keys": [ + "lift", + "physical_R" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 9412 + }, + { + "keys": [ + "lift", + "max_denominator" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "2" + }, + { + "keys": [ + "layer", + "frames" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 17789 + }, + { + "keys": [ + "layer", + "pairs" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 2310 + }, + { + "keys": [ + "layer", + "frames_changed_from_pr168" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 0 + }, + { + "keys": [ + "layer", + "formal", + "packed_digit_bits" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 24 + }, + { + "keys": [ + "layer", + "formal", + "columns", + 0, + "source_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "layer", + "formal", + "columns", + 0, + "target_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "layer", + "formal", + "columns", + 0, + "dirty_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 13372 + }, + { + "keys": [ + "layer", + "formal", + "columns", + 1, + "dirty_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 13372 + }, + { + "keys": [ + "contract_checks", + "read_counts" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": { + "center": 22, + "deferred": 2310, + "side": 3135 + } + }, + { + "keys": [ + "contract_checks", + "checked_source_columns" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "contract_checks", + "checked_target_rows" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "contract_checks", + "all_fresh_columns_equal_identity" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": true + }, + { + "keys": [ + "flow", + "new_W" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 12052 + }, + { + "keys": [ + "flow", + "new_R" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 9412 + }, + { + "keys": [ + "flow", + "deficit" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 1320 + }, + { + "keys": [ + "flow", + "loss" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 440 + }, + { + "keys": [ + "complex_profile", + "child_histogram", + "3" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 29964 + }, + { + "keys": [ + "complex_profile", + "child_histogram", + "4" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 11517 + }, + { + "keys": [ + "complex_profile", + "child_histogram", + "18" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 7920 + }, + { + "keys": [ + "complex_profile", + "child_histogram", + "20" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": 66 + } + ], + "copies": 3, + "family": 3, + "geometry": { + "banks": 4086, + "banks_per_copy": 1362, + "blocks_per_bank": 22, + "children_per_vertex": 29964, + "padding_per_bank": 0, + "padding_registers": 0, + "rank_divides_width": true, + "registers_per_block": 3, + "registers_per_vertex": 89892, + "tiling": "66 = 22 * 3: the bank is exactly filled by 22 rank-3 blocks, so the padding registers the padded schedule needs at ranks 16 and 20 (T1) are zero here", + "volume_is_whole_banks": true, + "volume_three_copies": 269676 + }, + "name": "the rank-3 family of the row below, absorbed into whole width-66 banks", + "not_this": "rung 3 of run3.py's ladder: that rung absorbs rank 16 on PR207/PR193's row and needs the padded schedule of T1. On this row the first family whose own volume fills whole banks is rank 3, and the padding does not arise.", + "row": { + "audit_status": "PASS exact fused physical candidate, all formal source/target/dirty columns", + "bytes": 3988, + "head": "109a857a329d18ed5552d5573f17ddfa886ae57f", + "head_commit_subject": "Pairs only: PR168's frames unchanged, PR200's maximum-weight reuse pairing; complex saving 3549537/5000000000 = 7.0991e-4 (+1.28% over PR194)", + "head_subject": "PASS source-assisted v4 word with this package's physical layer", + "not_vendored_from": "the pins: this file is #233's certificate at head 109a857a329d18ed5552d5573f17ddfa886ae57f, and the digest above is what pins it. The PR is not merged, so if the branch moves the pin fails closed (verify.py -> check_manifest) and this contract must be re-taken rather than reused.", + "own_bit_effective": "338670433250477381/500000000000000000000", + "own_complex_saving": "3549537/5000000000", + "own_kappa": "6768823/10000000000", + "sha256": "691cb0aaeb0d6b993e1e1e5116ae7a5c57af058a8c413249016347d1b40d3b90", + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "status": "PASS source-assisted v4 word with this package's physical layer" + }, + "width": 66 + }, + "scope": "One rung of the complex ladder, on the new row: the rank-3 family leaves the ledger into 4086 whole width-66 banks with no padding (rank 3 divides the width), and the retained row re-prices the top of the ladder bit-bound. C1-C7 of obligations.json are restated here at this rung's numbers; the required exports G1-G6 are the bodies that would turn that restatement into a bank increment, each with the form, cardinality, digest and acceptance test it is held to. verify.py -> check_rank3_export_contract re-derives every number and resolves every citation, so the contract cannot cite a digest, a count or a status that is not there -- and cannot claim the rung is built.", + "source": "research/complex-bank-run3/EXPORT-CONTRACT-RANK3.md (the prose twin this file makes checkable)", + "status": "CONTRACT PUBLISHED, MACHINE-CHECKED AND IMPORTABLE at the rung: the gate of G1-G6 is executable (importer66.py --contract export-contract-rank3.json --self-test), and verify.py -> check_rank3_export_contract resolves every citation against the pinned bytes, re-derives the assignment, the retained ledger and the point, and asserts the 0-of-6 reading. It is a target, not a claim: the row's PR is not merged and the rung is not built.", + "still_owed": { + "C1_physical": "the normalizer sending each item's residual projector to its block: the addresses exist (G1's bijection target), the projectors the row exports do not (machine_read above)", + "C2": "formal columns of the modified complex word after the re-assignment", + "C3": "charts, colouring and prime witnesses for the new blocks", + "C4": "moment-envelope parity for the re-assigned word, at the numbers A4 binds", + "C5": "per-child provenance for the rank-3 family: the item addresses exist, the frame/chain identity of each child does not", + "C6_C7": "the retained row's further whole-bank families, which this rung deliberately does not touch -- and which still owe the padded tiling of T1, since none of them divides the bank width", + "importer": "the gate is executable: importer66.py consumes this contract directly (--contract export-contract-rank3.json), runs G1-G6's declared checks on whatever bodies are present, and refuses by default while they are absent. What it cannot run is the replay: this row publishes no checker digest, so the harness has none to accept (import_harness.replay_requirement). A green gate would therefore still not be an admissible import.)" + }, + "today": { + "about": "the supplier's side of this rung: what the row publishes as bodies rather than as digests, counts or statuses", + "bodies_present": 0, + "evidence": [ + { + "keys": [ + "status" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "PASS source-assisted v4 word with this package's physical layer" + }, + { + "keys": [ + "layer", + "audit_status" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "PASS exact fused physical candidate, all formal source/target/dirty columns" + }, + { + "keys": [ + "contract_checks", + "all_fresh_columns_equal_identity" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": true + }, + { + "keys": [ + "layer", + "formal", + "columns", + 0, + "every_formal_column" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": true + }, + { + "keys": [ + "lift", + "status" + ], + "source": "references/pr233-source-assisted-v4-layer.certificate.json", + "value": "Exact rational local lifts and inverse gate programs verified; monotone flow and zero-fresh kernel reuse DAG verified." + } + ], + "gate_exit_codes": { + "default": 2, + "gate_green_without_a_checker": 3, + "partial": 4 + }, + "of_required": 6, + "published_only_as": [ + "digest", + "count", + "status", + "path" + ], + "required_bodies": 10, + "verdict": "fail closed: not one of the six required exports exists as a body. The row publishes the word's accounting and the physical candidate's column counts; it publishes no bank, no block layout, no item address and no per-child provenance, so the import is refused, the rung stays a scheduled target and the kappa keeps its conditional flag." + }, + "verification": { + "what_it_can_never_buy": "no export can make the bound unconditional: C1-C7 and the inherited R1-R4 are one missing artifact, and the asymptotic interfaces stay assumptions (obligations.json -> unconditionality)", + "what_the_import_checks": "the gate, executed rather than described: importer66.py runs A1-A7 on the bodies and --self-test proves on synthetic bodies that every declared check is decided and that a broken one is rejected, with the four refusal codes and the partial report. A1 and A5 are decidable from the bodies' declared data and the row's published counts; A2 and A3 against occurrences-rank3.json and the row's histogram; A4 against the retained ledger; A6 and A7 against the pinned colouring precedent. What no import can decide is the replay: the row publishes no checker digest, so the physics stays a stated dependency of this rung rather than something the harness runs.", + "what_verify_checks": "verify.py -> check_rank3_export_contract: every citation above is resolved against the pinned bytes (the vendored row certificate, the pinned PR205 certificate, the pinned PR219 inventory, occurrences-rank3.json and export-contract.json), and every derived number is re-derived -- the assignment from the addressing rule, the ledger from the row, the leaf through #219's vendored arithmetic, and the point through the queue's assembly rule and the unchanged 47-constraint assembly." + }, + "version": 3 +} diff --git a/research/complex-bank-run3/export-contract.json b/research/complex-bank-run3/export-contract.json new file mode 100644 index 0000000000..7fc84d77fb --- /dev/null +++ b/research/complex-bank-run3/export-contract.json @@ -0,0 +1,233 @@ +{ + "contract": "normalizer export contract for the complex supplier: what its program must publish for C1-C3 to become a bank increment", + "version": 1, + "source": "research/complex-bank-run3/EXPORT-CONTRACT.md (the prose contract this file makes checkable)", + "scope": "The eleven obligations of obligations.json reduce to one missing artifact: the literal operation program, then the columns, charts, witnesses and envelope re-run on the word it banks. This file names the required exports, their verifiable form, the digest each body must reproduce, and the acceptance tests. verify.py -> check_export_contract resolves every citation below against the pinned bytes, so the contract cannot cite a digest, a count or a status that is not there.", + "precedent": { + "banked_word_export_shape": { + "reading": "the one banked word in the pins publishes its physical layer as exact counts, digests and a colouring status: this is the shape E1-E4 must reach on the complex word, and R1's precedent to extend", + "citations": [ + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "m"], "value": 72}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "banks"], "value": 45842}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "gauge_roles"], "value": 2200}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "incidences"], "value": 154026}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "physical_roles"], "value": 17114}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "word_sha256"], "value": "0728ed1c7320430a87709b1034485cbabefec85d532b48897f74136cf3954218"}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "chart_sha256"], "value": "22662b8580d62f26f50a7773ac45a40d4ffa8352bba5317ec3b2c0ce5897a810"}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "incidence_sha256"], "value": "76bff256b747bd188fdfa679059c8340cab7d8e1208db4b818d770ea08711117"}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "status"], "value": "PASS exact actual-chain chart and incidence checks"}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "color_stats", "swaps"], "value": 733}, + {"source": "references/pr219-run1/references/pr205-packed.certificate.json", "keys": ["physical", "color_stats", "longest_swapped_path"], "value": 11} + ] + }, + "occurrence_inventory_shape": { + "reading": "the bit word's absorbed-occurrences.json is the format precedent for E5: counts per vertex, occurrences as integer tuples per kind, the row identity, and the source pins that tie the inventory to the word it was enumerated on", + "citations": [ + {"source": "references/pr219-run1/inputs/absorbed-occurrences.json", "keys": ["counts_per_vertex"], "value": {"ledger_bin_22_per_vertex": 6672, "ledger_bin_22_three_copies": 20016, "normalization_factor_in_row": 3, "physical_internal_H": 1344, "physical_target_Y": 0, "source_chain_src": 880}}, + {"source": "references/pr219-run1/inputs/absorbed-occurrences.json", "keys": ["row_identity_per_vertex"], "value": {"W": 20668, "deficit": 1936, "m": 72, "mass": 1486160}}, + {"source": "references/pr219-run1/inputs/absorbed-occurrences.json", "keys": ["source_pins", "package"], "value": "research/paired-cube-diagonal-bit-168"} + ] + }, + "exact_object_disclaimer": { + "reading": "the supplier's flow block disclaims exactness in its own status, so the contract is addressed to the lift/witness pair: a modular flow price is explicitly not acceptable evidence for E3", + "citations": [ + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "status"], "value": "Modular equal-frame flow price, retaining dirty kernel lifts and complete full-frame cleanup. Not an exact supplier certificate."}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["lift", "status"], "value": "Exact rational local lifts and inverse gate programs verified; monotone flow and zero-fresh kernel reuse DAG verified."} + ] + } + }, + "today": { + "bodies_present": 0, + "of_required": 6, + "verdict": "fail closed: no body export exists in the pins. Every required export is present only as a digest, a count, a status or a path, so the import is refused, the package stays a scheduled target and the kappa keeps its conditional flag.", + "published_only_as": ["digest", "count", "status", "path"], + "evidence": [ + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["status"], "value": "PASS conditional finite witness", "reading": "the supplier's own verdict"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "status"], "value": "Exact local invertible flow, exact all-column fresh identity, paid source controls, target read chains, and integer histogram certified. A literal globally renumbered operation program is not exported; dense initial dirty-response subtraction is defined by the exact certified flow.", "reading": "E1, E2 and E3 are declared absent as bodies"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "exact_scalar_program_sha256"], "value": "3b4e671d7c6630570b04788bb2c81629e2c52f8dc2fcc5805952f0b403921027", "reading": "E1's digest exists; its body does not"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "exact_lift_certificate_path"], "value": "research/source-assisted-v4/.work/lift.certificate.json.gz", "reading": "E3's body is named by path in the supplier's own workspace, and that path is not in the pins"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "cache_sha256", "record.json"], "value": "2065cbaa22c87198a4d535119534e05fab4a258445ecda00cf3cbb9151cfcc30", "reading": "E2's cache bodies are published as digests only"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["assembly", "construction_receipts", "status"], "value": "Constructive exact flow and fixed-boundary proofs; literal globally renumbered program/replay remains a downstream integration task", "reading": "the supplier's receipts reserve the literal program as downstream work"} + ] + }, + "required_exports": [ + { + "id": "E1", + "name": "program", + "publishes": "the literally renumbered operation program in canonical order: per node its canonical id, operation kind, incoming and outgoing edge ids, and its span", + "form": "JSON, integers only", + "cardinality": {"nodes": 18532, "inverse_elementary_gates": 58165}, + "must_reproduce": [{"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["lift", "exact_scalar_program_sha256"], "value": "3b4e671d7c6630570b04788bb2c81629e2c52f8dc2fcc5805952f0b403921027"}], + "bodies": [{"file": "program.json", "anchored_digest": "3b4e671d7c6630570b04788bb2c81629e2c52f8dc2fcc5805952f0b403921027"}], + "gate": {"test": ["A2"], "equals": {"nodes": 18532, "inverse_elementary_gates": 58165}}, + "acceptance": ["A1", "A4"], + "unblocks": ["C2", "C1"] + }, + { + "id": "E2", + "name": "frames", + "publishes": "the bodies behind the three cache digests: frames.json (integer kernel basis per frame with the edge nullity histogram), graph.json (parents, children and the edge structure) and record.json (provenance)", + "form": "JSON, canonical integer bases", + "cardinality": {"frames": 18532, "vectors": 26200, "edge_basis_values": 42787, "incoming_dependencies": 24, "outgoing_dependencies": 8116}, + "must_reproduce": [ + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "cache_sha256", "frames.json"], "value": "434b81507ebb6e20aa73508d9ac01011fa1b785204363a5eee2eea59256e4b70"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "cache_sha256", "graph.json"], "value": "a4d350feb76f2ddcffa409d079bf479c04afd65af2d6b6e96a2ea157019d78d5"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "cache_sha256", "record.json"], "value": "2065cbaa22c87198a4d535119534e05fab4a258445ecda00cf3cbb9151cfcc30"} + ], + "bodies": [ + {"file": "frames.json", "anchored_digest": "434b81507ebb6e20aa73508d9ac01011fa1b785204363a5eee2eea59256e4b70"}, + {"file": "graph.json", "anchored_digest": "a4d350feb76f2ddcffa409d079bf479c04afd65af2d6b6e96a2ea157019d78d5"}, + {"file": "record.json", "anchored_digest": "2065cbaa22c87198a4d535119534e05fab4a258445ecda00cf3cbb9151cfcc30"} + ], + "gate": { + "test": ["A2", "A6", "A7"], + "equals": {"frames": 18532, "vectors": 26200, "edge_basis_values": 42787}, + "bijection": ["id_map"], + "equals_on": {"graph.json": {"incoming_dependencies": 24, "outgoing_dependencies": 8116}}, + "flags_true": ["conflicting_assignment_rejected"], + "flags_present": ["color_stats"], + "distinct_below": {"witnesses": "prime_witnesses", "bound": "q_bound"} + }, + "acceptance": ["A2", "A3"], + "unblocks": ["C1", "C3"] + }, + { + "id": "E3", + "name": "lift and witness", + "publishes": "the exact rational local lifts and inverse gate programs per node, plus the flow witness they were checked against", + "form": "JSON/gz bodies, denominators <= 2, coefficients in the six published pairs", + "cardinality": {"nodes": 18532, "inverse_elementary_gates": 58165, "physical_R": 9412, "denominator_lcm": 2}, + "must_reproduce": [ + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["lift", "certificate_sha256"], "value": "1d81a79bda88b8a0ef64b7ae815c0d20cf1eee7f4714053530805bbb39e89ef2"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["lift", "witness_sha256"], "value": "51da02c6cd844276ca26608f1b714ab07d476ec25634ad1a9b461ccda2fbe457"}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["lift", "checker_sha256"], "value": "9d841bcfdc7c9c19b31791e8d7cfebd223d80d5e9ecd376d26257244f5323f2e"} + ], + "bodies": [ + {"file": "lift.certificate.json.gz", "anchored_digest": "1d81a79bda88b8a0ef64b7ae815c0d20cf1eee7f4714053530805bbb39e89ef2"}, + {"file": "flow.witness.json", "anchored_digest": "51da02c6cd844276ca26608f1b714ab07d476ec25634ad1a9b461ccda2fbe457"} + ], + "gate": {"test": ["A3"], "equals": {"nodes": 18532, "physical_R": 9412}, + "at_most": {"max_denominator": 2, "max_abs_numerator": 2}}, + "acceptance": ["A1", "A3", "A7"], + "unblocks": ["C1", "C3"] + }, + { + "id": "E4", + "name": "chronology", + "publishes": "per vertex the read and write tables: target read chains (nested), source controls at paid-parity frames, and the deferred, side and centre reads with their counts", + "form": "JSON tables of integer addresses", + "cardinality": {"checked_source_columns": 1320, "checked_target_rows": 1320, "read_counts": {"center": 22, "deferred": 2310, "side": 3135}}, + "must_reproduce": [{"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "contract_checks", "read_counts"], "value": {"center": 22, "deferred": 2310, "side": 3135}}], + "bodies": [{"file": "chronology.json", "anchored_digest": null}], + "gate": { + "test": ["A4"], + "equals": {"checked_source_columns": 1320, "checked_target_rows": 1320, + "read_counts": {"center": 22, "deferred": 2310, "side": 3135}}, + "counted_in_tables": {"target_rows": "checked_target_rows", "source_columns": "checked_source_columns"} + }, + "acceptance": ["A4"], + "unblocks": ["C2", "C3"] + }, + { + "id": "E5", + "name": "children", + "publishes": "the per-bin occurrence inventory of the absorbed families, in the shape of the bit word's absorbed-occurrences.json, with each child's frame or chain identity: 1,062 rank-11, 264 rank-16 and 66 rank-20 items per vertex", + "form": "JSON: counts_per_vertex, occurrences_per_vertex as integer tuples per kind, row_identity_per_vertex, source_pins", + "cardinality": {"rank_11_per_vertex": 1062, "rank_16_per_vertex": 264, "rank_20_per_vertex": 66, "three_copies": [3186, 792, 198]}, + "must_reproduce": [ + {"source": "references/pr219-run1/inputs/absorbed-occurrences.json", "keys": ["counts_per_vertex", "ledger_bin_22_per_vertex"], "value": 6672}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "retirement_histogram", "1:20"], "value": 198}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["flow", "retirement_histogram", "2:20"], "value": 1320} + ], + "bodies": [{"file": "occurrences.complex.json", "anchored_digest": null}], + "gate": {"test": ["A5"], + "bins_allowed": ["11", "16", "20"], + "equals_in": [{"body_key": "families", "source": "occurrences66.json", + "keys": ["inventories"], "per_key_of_body": true, + "fields": ["items", "banks", "capacity_per_bank", + "children_per_vertex", "padding_per_bank", + "bank_table_digest"], + "why": "the export must name the same items, banks and table digests this package has already instanced, which is what makes A5 a bijection rather than a count"}]}, + "acceptance": ["A5"], + "unblocks": ["C5", "C6", "C7", "C1"] + }, + { + "id": "E6", + "name": "envelope and integrity", + "publishes": "the paid moment envelope in the form arithmetic.py consumes (retained stock, deficit, retained histogram, worst-case bad fraction, fallback), plus the package path, its head, every digest of E1-E5 and the acceptance predicates actually run", + "form": "JSON envelope plus manifest", + "cardinality": {"W_per_vertex": 12052, "deficit_per_vertex": 1320, "h": 22, "v": 1320, "rank_per_vertex": 794112}, + "must_reproduce": [ + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "W_per_vertex"], "value": 12052}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "deficit_per_vertex"], "value": 1320}, + {"source": "references/pr219-run1/references/pr193-source-assisted-v4.certificate.json", "keys": ["complex_profile", "target_data_histogram"], "value": {"0": 6270, "1": 3960, "18": 1320}} + ], + "bodies": [ + {"file": "envelope.json", "anchored_digest": null}, + {"file": "integrity.json", "anchored_digest": null} + ], + "gate": {"test": ["A1"], + "equals": {"W_per_vertex": 12052, "deficit_per_vertex": 1320, "h": 22, "v": 1320}, + "declares_every_body_on": "integrity.json"}, + "acceptance": ["A1", "A6", "A7"], + "unblocks": ["C4", "R4"] + } + ], + "acceptance_tests": [ + {"id": "A1", "name": "body hashes to the published digest", "test": "every exported body hashes to the digest the certificate already published", "bound": "3b4e671d... (program), 1d81a79b... (lift), 51da02c6... (witness)", "reject_control": "any altered byte fails the hash; a matching hash is evidence of identity, not correctness"}, + {"id": "A2", "name": "frame-record bijection", "test": "a complete bijection between the supplier's frame ids and the canonical ids, with frames and edge basis values reproduced", "bound": "18532 frames, 42787 edge basis values", "reject_control": "a renumbering that is not a bijection, or an id used twice"}, + {"id": "A3", "name": "charts and factors", "test": "fraction-free chart inversion and replayed elementary factors on every frame, with the denominator bound", "bound": "denominators <= 2, max_abs_numerator <= 2, denominator_lcm = 2", "reject_control": "a factor that does not replay, or a denominator above the published bound"}, + {"id": "A4", "name": "columns of the modified word", "test": "every source, target and dirty-register column over F2 and over the defining integers, with the target chronology nested and the source controls at paid-parity frames", "bound": "1320 source columns and 1320 target rows per vertex; read_counts 22/2310/3135", "reject_control": "counts quoted from the certificate instead of coming out of the exported tables"}, + {"id": "A5", "name": "per-child bijection", "test": "the exported occurrences map onto this package's occurrences66.json items with no other bin touched", "bound": "3186/792/198 three-copy items onto 531x6, 198x4 and 66x3 blocks", "reject_control": "an occurrence outside the ledger's bins, or a block left without its item"}, + {"id": "A6", "name": "incidence colouring", "test": "colouring of the new incidences with the conflicting assignment rejected", "bound": "PR205 precedent: swaps 733, longest_swapped_path 11", "reject_control": "a conflicting assignment accepted"}, + {"id": "A7", "name": "prime witnesses", "test": "distinct integer Gram/prime witnesses for every frame the new blocks use, residual factors below the retained q bound", "bound": "the retained prime threshold (PR205: 17114 physical roles, all used frames witnessed)", "reject_control": "a repeated witness, or a factor above the bound"} + ], + "obligation_mapping": { + "C1": ["E2", "E3", "E4", "E5"], + "C2": ["E1", "E2", "E4"], + "C3": ["E2", "E3", "E4", "E6"], + "C4": ["E6"], + "C5": ["E5"], + "C6": ["E5"], + "C7": ["E5"], + "R1": ["E2", "E3"], + "R2": ["E1", "E2", "E4"], + "R3": ["E2", "E3"], + "R4": ["E6"] + }, + "not_required": [ + "internal id stability: only the canonical renumbering map and the bijection test A2", + "program text beyond canonical data: E1 is nodes, kinds, edges and spans, not a listing in the supplier's own language", + "sources for the supplier's own claims: the importer re-runs the columns (A4) and re-charts the frames (A3), so a boolean in contract_checks is a claim to reproduce, not a result", + "the modular flow price: flow.status disclaims exactness, only the lift/witness pair satisfies E3", + "any asymptotic interface: general Clifford/tensor, uniform weighted compilation, restored rows, routing, paid layout, prime supply, precision/recovery and fixed tape stay assumptions, so this contract can buy a conditional finite witness and never a theorem" + ], + "import_harness": { + "module": "importer66.py", + "exports_dir": "exports", + "usage": "python3 -B importer66.py --exports DIR [--checker FILE] | --self-test", + "exit_codes": { + "0": "admissible: every body present, the gate green and the pinned replay checker passed", + "1": "a check failed: the report names the test, its bound and what was seen", + "2": "refusing: at least one required body is absent, or the supplied checker is not the one E3 pins, so nothing is run and nothing is certified", + "3": "gate green, replay NOT RUN: no checker was supplied" + }, + "layers": { + "gate": "decidable from the bodies' declared data: hashes (A1), cardinalities (A2, A5), published bounds (A3, A6, A7), bijections (A2's id map, A5 against occurrences66.json) and the counts that must come out of the exported tables rather than the certificate (A4)", + "replay": "the physics: formal columns over F2 and the defining integers, fraction-free chart replay, and the moment envelope re-derived. The harness does not reimplement them and never claims to have run them: the checker whose digest E3 pins must be supplied, and until it is the replay is reported NOT RUN" + }, + "replay_requirement": { + "checker_digest": "9d841bcfdc7c9c19b31791e8d7cfebd223d80d5e9ecd376d26257244f5323f2e", + "checker_source": "lift.checker_sha256 of the pinned supplier certificate", + "why": "the physics is the supplier's own checker, not a reimplementation: an import that supplies the pinned checker by digest may run the replay, and one that does not is reported NOT RUN" + }, + "anchored_digests_are_of_published_bytes": "hash files as published, gzip bodies included, and read .gz fields after decompressing", + "self_test": "--self-test builds synthetic bodies in a temporary directory, patches the anchored digests to the synthetic hashes and then exercises all seven checks and all four exit codes, so the harness is proven working while the real bodies are absent" + }, + "failure_semantics": { + "today": "0 of 6 bodies: the import fails closed, the package stays a scheduled target and the kappa keeps its conditional flag", + "order_of_discharge": "A1-A3 admit E2-E3 and make C1's normalizer a re-assignment over published frames; A4 re-runs C2; A5 closes C5-C7 and the item-to-block half of C1; A6-A7 close C3; E6 closes C4 and R4", + "never": "no export can make the bound unconditional; see obligations.json -> unconditionality" + }, + "status": "CONTRACT PUBLISHED AND MACHINE-CHECKED: verify.py -> check_export_contract resolves every citation above against the pinned bytes and asserts the 0-of-6 reading" +} diff --git a/research/complex-bank-run3/exports-bit/charts.index.json.gz b/research/complex-bank-run3/exports-bit/charts.index.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..b028c52f130a2d34a7f984ea3581ea2bf887ac50 GIT binary patch literal 986806 zcmV)0K+eA(iwFP!00002|D4^;&h%Jz<@b4Cg`jZ{82pF`dgz<*z%U9CK~i0|R1&I6 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48],[18211,25849],[25850,25851],[18221,25852],[25853,25854],[25855,25856],[25857,25858],[25860,25861],[25859,25862],[25863,25864],[3679,3919],[4129,4309],[4669,4729],[4759,4999],[5539,5659],[5749,5809],[5839,6049],[7459,7579],[7669,7729],[7759,7879],[7969,8029],[8059,8149],[18595,25866],[18656,25867],[25868,25869],[18829,25870],[25871,25872],[18540,18543],[25873,25874],[25875,25876],[18526,25877],[18580,18665],[25878,25879],[25880,25881],[18631,25882],[18653,25883],[25884,25885],[18663,25886],[25887,25888],[25889,25890],[25891,25892],[25894,25895],[25893,25896],[25897,25898]],"decoder":"mod 2: Y_T += sum of root nodes whose targets contain T (star roots: T reads star(c) for c in T; side roots; partner singles) + x_carrier + x_passive for each partner_mix entry receiving T; equals x_T = sum_{c in T} star(c) + sum_{|S cap T|=1} 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