diff --git a/.github/workflows/post-center-rank4-global.yml b/.github/workflows/post-center-rank4-global.yml new file mode 100644 index 0000000000..e0a1823e58 --- /dev/null +++ b/.github/workflows/post-center-rank4-global.yml @@ -0,0 +1,48 @@ +name: Verify post-center rank-four global witness + +on: + push: + paths: + - 'research/post-center-rank4-global/**' + - 'research/direct-delivery504-global/**' + - '.github/workflows/post-center-rank4-global.yml' + pull_request: + paths: + - 'research/post-center-rank4-global/**' + - 'research/direct-delivery504-global/**' + - '.github/workflows/post-center-rank4-global.yml' + workflow_dispatch: + +permissions: + contents: read + +jobs: + verify: + runs-on: ubuntu-24.04 + timeout-minutes: 15 + strategy: + fail-fast: false + matrix: + python-version: ['3.11', '3.14'] + steps: + - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7 + with: + persist-credentials: false + - uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 # v7 + with: + python-version: ${{ matrix.python-version }} + - name: Install exact phase interpreter dependency + run: python -m pip install numpy==2.3.5 + - name: Reconstruct rank-four supplier and verify the changed global witness + run: python -B research/post-center-rank4-global/replay_delta.py --baseline research/direct-delivery504-global --work "$RUNNER_TEMP/rank4" --rebuild-local --delta-phases + - name: Check intermediate phase delta and independent local realization + run: | + mkdir "$RUNNER_TEMP/rank4-checkpoint" + cp research/post-center-rank4-global/inputs/phase-checkpoint/CANONICAL-WORD.json.gz "$RUNNER_TEMP/rank4-checkpoint/" + python -B research/direct-delivery504-global/code/phases_delta.py --local "$RUNNER_TEMP/rank4-checkpoint" --baseline research/direct-delivery504-global/evidence/local --compiler research/direct-delivery504-global/vendor/clifford + cmp "$RUNNER_TEMP/rank4-checkpoint/CLIFFORD-RECIPES.json" research/post-center-rank4-global/inputs/phase-checkpoint/CLIFFORD-RECIPES.json + python -B research/direct-delivery504-global/code/emit_local.py "$RUNNER_TEMP/rank4/scalar" + python -B research/direct-delivery504-global/code/audit_local.py "$RUNNER_TEMP/rank4/scalar" + python -B research/direct-delivery504-global/code/adapters_local.py "$RUNNER_TEMP/rank4/scalar/CANONICAL-WORD.json.gz" "$RUNNER_TEMP/rank4/scalar/RESIDUAL-ADAPTERS.json" "$RUNNER_TEMP/rank4/scalar/LEMMA-A.json" + - name: Require unchanged tracked artifacts + run: git diff --exit-code diff --git a/certificates/mixed-point-audit.json b/certificates/mixed-point-audit.json index 1f6c0fec1b..5b65e2e08a 100644 --- a/certificates/mixed-point-audit.json +++ b/certificates/mixed-point-audit.json @@ -487,7 +487,7 @@ "source_sha256": { "docs/research/mixed-point-audit.md": "c80527f9e98c27bd7f5858a06c7273f84c40e0c41505eb4d16029b61f80fb968", 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"vendor/gk/gk_word.py": "15782ba625e438a3c707718fa51796ec1937018f", + "verify_fast.py": "245b61bbe55fbb6fa40ea3ef89a02c43ca3c51bf" + }, + "scope": "Exact scientific files shared by the published PR531 head and the original Round20 package; changed publication prose/manifest are not required." +} diff --git a/research/post-center-rank4-global/EXPECTED.json b/research/post-center-rank4-global/EXPECTED.json new file mode 100644 index 0000000000..2c5a1a3262 --- /dev/null +++ b/research/post-center-rank4-global/EXPECTED.json @@ -0,0 +1,62 @@ +{ + "status": "PASS_ASYNC_COMPLEX_AND_CITED_BIT_EXACT_ASSEMBLY", + "kappa": "1584931111785787/1000000000000000000", + "kappa_decimal": "0.001584931111785787", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "complex_decimal": "0.001589991533606044174031", + "bit_lower": "396861776523137034277/250000000000000000000000", + "bit_decimal": "0.001587447106092548137108", + "binding_component": "bit", + "improvements": { + "PR531": { + "baseline": "1517760977820331/1000000000000000000", + "relative_gain": "67170133965456/1517760977820331", + "percent_display": "4.42560686" + }, + "rejected_POST208_checkpoint": { + "baseline": "771820390859371/500000000000000000", + "relative_gain": "41290330067045/1543640781718742", + "percent_display": "2.67486649" + }, + "PR533": { + "baseline": "381051987698311/250000000000000000", + "relative_gain": "60723160992543/1524207950793244", + "percent_display": "3.98391577" + } + }, + "global_template_content_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "raw_word_content_sha256": "b9110e8ddb770a3874c2df2019e04a98c1a25684072f7f8e5772653f59f15db2", + "canonical_word_content_sha256": "7c84ac65c8b37173aa4293934f041915895e8ec30595844cc1534e2a19ae0d25", + "global_profile": { + "1": 158976, + "2": 52864, + "3": 15200, + "4": 20160, + "5": 4032, + "6": 4032, + "7": 352, + "8": 576, + "48": 1632 + }, + "local_profile": { + "1": 2208, + "2": 728, + "3": 184, + "4": 280, + "5": 56, + "6": 56, + "8": 8 + }, + "local_rank_mass": 6016, + "entrance_rank": 376, + "width_inventory": { + "5": 56, + "8": 152, + "9": 296 + }, + "global_prefix_bits": 225, + "live": 7168, + "physical": 7682, + "deficit": 2560, + "scope": "Conditional finite witness under the retained all-size compiler, common-label/mutable-basis, whole-call hosting, restored-work, precision/tape and analytic-transfer contracts. Fresh complex admission and finite invoice are separately hash-bound; no unconditional theorem is claimed." +} diff --git a/research/post-center-rank4-global/LICENSE b/research/post-center-rank4-global/LICENSE new file mode 100644 index 0000000000..261eeb9e9f --- /dev/null +++ b/research/post-center-rank4-global/LICENSE @@ -0,0 +1,201 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. Definitions. + + "License" shall mean the terms and conditions for use, reproduction, + and distribution as defined by Sections 1 through 9 of this document. + + "Licensor" shall mean the copyright owner or entity authorized by + the copyright owner that is granting the License. + + "Legal Entity" shall mean the union of the acting entity and all + other entities that control, are controlled by, or are under common + control with that entity. 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All-size realization and analytic-transfer interfaces remain conditional." + }, + "supplemental_checks": { + "checkpoint_new_phase_edges": 194, + "checkpoint_recipes_equal_supplied": true, + "final_new_phase_edges": 126, + "local_replay": "Both orientations, all 728 columns, 11 rejected controls", + "residual_wrappers": "21 frames, 5 rejected controls, global phases checked", + "fresh_programs_and_wrappers_equal_supplied": true + }, + "source_binding": { + "baseline_files_bound": "BASELINE-PINS.json, matching merged main", + "bit_expected": "Pinned PR510 git blob c89fe719e81ae3a4d920bf50f87b7100bbf335ae, with one terminal LF added; exact JSON equality checked" + }, + "packaging": { + "python_sources_byte_identical": false, + "mathematical_inputs_unchanged": true, + "excluded": "All .log files; original archive retained outside the repository", + "changes": "English publication metadata, math delimiters, provenance clarification and manifest" + }, + "scope": "Fresh complex delta and repriced cited PR510 bit supplier. No cold bit replay, predecessor full replay, PDF, or unconditional all-size claim.", + "portability_fix": { + "cause": "Python 3.11 and 3.14 produce different final bits in one floating entropy display. All other regenerated JSON fields match.", + "comparison": "Exclude only report.frame_coalescing.local_entropy_before and local_entropy_after; compare all remaining fields exactly. Exact moments do not consume these displays.", + "python311_rebuild": { + "status": "PASS_FAST_RANK4_DELTA_REPLAY", + "kappa": "1584931111785787/1000000000000000000", + "kappa_decimal": "0.001584931111785787", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "bit", + "elapsed_seconds": 13.7088567839819, + "predecessor_cold_replay": false, + "unchanged_bit_operator_rebuilt": false, + "changed_phase_edges_replayed": false, + "scalar_factory_rebuilt": true, + "steps": [ + { + "name": "rank-four-adjoint", + "seconds": 0.09205432399176061, + "log": "rank-four-adjoint.log" + }, + { + "name": "raw-504-factory", + "seconds": 0.5516239179996774, + "log": "raw-504-factory.log" + }, + { + "name": "frozen-rank-four", + "seconds": 0.8164071930223145, + "log": "frozen-rank-four.log" + }, + { + "name": "coalesced-delivery", + "seconds": 0.44309590698685497, + "log": "coalesced-delivery.log" + }, + { + "name": "changed-scalar-and-frames", + "seconds": 1.2059955459553748, + "log": "changed-scalar-and-frames.log" + }, + { + "name": "new-local-controller-binding", + "seconds": 1.9670655759982765, + "log": "new-local-controller-binding.log" + }, + { + "name": "emit-actual-owners", + "seconds": 4.155400021001697, + "log": "emit-actual-owners.log" + }, + { + "name": "independent-whole-owners", + "seconds": 2.6056362799718045, + "log": "independent-whole-owners.log" + }, + { + "name": "fresh-prefix-and-invoice", + "seconds": 1.1407785390038043, + "log": "fresh-prefix-and-invoice.log" + }, + { + "name": "two-moments-and-outer", + "seconds": 0.46962624398292974, + "log": "two-moments-and-outer.log" + } + ], + "scope": "Fresh changed-word and actual-host finite checks; byte-pinned completed phase/data/bit dependencies reused by default. All-size realization and analytic-transfer interfaces remain conditional." + }, + "mutation_controls": [ + "coefficient change rejected", + "frame change rejected", + "rank count change rejected", + "move count change rejected" + ], + "python314_prior_ci": "https://github.com/icekylinx/integer-mult-bounds/actions/runs/38195000974/job/114635600225" + } +} diff --git a/research/post-center-rank4-global/MANIFEST.json b/research/post-center-rank4-global/MANIFEST.json new file mode 100644 index 0000000000..8911e5792a --- /dev/null +++ b/research/post-center-rank4-global/MANIFEST.json @@ -0,0 +1,57 @@ +{ + "algorithm": "sha256", + "sha256": { + "BASELINE-PINS.json": "5ef0e6c7c93a239027255a7b891fdc1e38cbdccc05833fe59f3af3321bebd478", + "EXPECTED.json": "cb734055c36681d38cf431a6926b7713351a94073cfba37d70a5384a9ef0d178", + "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "LOCAL-VALIDATION.json": "26c4c39e565c201c1d894c2faf4b49edd149b763301dc6b6a322a96e1b6d4226", 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"sources/PR531-SOURCES.json": "6522dbcdb8e6e91df95e5ab1cc6d2f58146ab7ef37518aff899f7397ff064d46" + } +} diff --git a/research/post-center-rank4-global/NOTICE.md b/research/post-center-rank4-global/NOTICE.md new file mode 100644 index 0000000000..f42e0eed85 --- /dev/null +++ b/research/post-center-rank4-global/NOTICE.md @@ -0,0 +1,70 @@ +# Attribution and dependency notice + +Package: **`integer_mult_round21_rank4_delta`**. + +Copyright 2026 icekylinx. Local review and packaging used OpenAI Codex. + +## New work + +Prepared by **icekylinx with GPT-6 Astra assistance**. The new contribution is +the post-center timing and ordered composition of dirty gauges with rank-four +response kernels, including the 14 disjoint M-helper groups, explicit scalar +word, frame and cleanup treatment, independent local argument, physical global +integration, paid accounting, and combined conditional κ assembly. + +The same helper can first serve its own gauge and then donate to a larger +kernel because compensation occurs before the new pivot dirt is injected. +This ordering, its actual frame nesting, and its global use are the substantive +delta. Earlier gauge/kernel primitives and the SAME504 scalar construction +retain their original authorship. + +## Baseline + +[PR531](https://github.com/CrocSwap/integer-mult-bounds/pull/531), by icekylinx +with the disclosed GPT-6 Astra assistance, supplies the SAME504 construction +and the baseline package `research/direct-delivery504-global`. The final +baseline head is `e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`; the scientific +files used here match the original Round20 pins. + +**The original PR531 NOTICE is retained separately and remains applicable.** +That notice records the scalar, geometry, controller, phase, wrapper, hosting, +and analytic ancestry. This short incremental notice does not replace it. + +In particular, DreamingOfClouds's PR484 response/kernel implementation and its +predecessors retain their source notices. Zhihao Chen's PR425 mutable-basis +lemma, the PR425/433/514 scalar lineage, and the previously credited source +and delivery contributions remain attributed through PR531's notice. + +## Adopted bit supplier + +[PR510](https://github.com/CrocSwap/integer-mult-bounds/pull/510), pinned to +`64edee18af02aab0c1696b677a0287dd0146381b`, is by **DreamingOfClouds with +Claude Opus 5.5 assistance via Claude Code**, as disclosed by that package. +Its R480 nine-stage bit endpoint is adopted as a cited conditional dependency. +It is not a new bit-side research result of this delta, and no cold replay +of that full bit pipeline was performed here. + +**The original PR510 NOTICE is retained separately and remains applicable.** +Its ancestry includes eumemic's PR493 carrier-skeleton word; PR503's R480 +dead-total change; chafreaky's PR443/444 replication pipeline; DaysSky's PR442 +whole-residual hosting and PR381 column checker; Zhihao Chen's PR386 geometry; +DreamingOfClouds's PR315 moment engines and pipeline adaptations; and Dylan +Crow's PR370 framework, with the assistance disclosures in those sources. + +The present PR510 mutable-source carryover exposition is by icekylinx with +GPT-6 Astra assistance. It expands the role-independent common-label argument +already present in PR472 and the mutable-basis lemma of PR425; it does not +claim those underlying ideas as new. + +## Comparison, evidence, and licenses + +PR493 is also retained as the former-bit-supplier control. PR533 is used only +for numerical comparison. A cited rate, reused certificate, or prior notice +does not imply a fresh replay in this package; the README states the completed +validation scope. + +Original source headers, notices, licenses, and pinned provenance remain in +force. This incremental notice does not relicense upstream material. New +Python research/audit files carry the Apache-2.0 notice stated in their source +headers. All reported bounds remain conditional on the listed inherited +interfaces. diff --git a/research/post-center-rank4-global/README.md b/research/post-center-rank4-global/README.md new file mode 100644 index 0000000000..43d970203e --- /dev/null +++ b/research/post-center-rank4-global/README.md @@ -0,0 +1,152 @@ +# Rank-four post-center kernels: a global κ delta from PR531 + +**Conditional global saving: `κ = 0.001584931111785787`.** This is +**4.42560686% above PR531** (`0.001517760977820331`) and **3.98391577% above +PR533**. The package is named `integer_mult_round21_rank4_delta` and contains +an incremental construction and its component evidence, using the scientifically +unchanged PR531 package as its baseline. + +| Quantity | Exact certified lower endpoint | +|---|---:| +| New complex supplier, rank-four kernel construction | `b = 0.001589991533606044174031` | +| Adopted PR510 bit supplier | `c = 0.001587447106092548137108` | +| Combined conditional global saving | **`κ = 0.001584931111785787`** | +| Control: new complex supplier with the former PR493 bit supplier | `κ = 0.001562995248531632` | + +The new complex supplier exceeds the old bit endpoint. The bit side now binds, +so the final composition adopts PR510's already published nine-stage R480 bit +supplier. Its exact rational endpoint is +`396861776523137034277 / 250000000000000000000000`. The PR493 control records +the gain available without this dependency change. The final κ is also +2.67486649% above the earlier post-center-only checkpoint. + +## New construction and adopted components + +The new contribution is by **icekylinx with GPT-6 Astra assistance**. It +composes post-center dirty compensation with larger response kernels: + +1. Helpers that are untouched by the source prefix and center cut still contain + exactly their initial dirt at the start of delivery. Their compensation can + therefore be performed there, after the center cut. +2. The 112 ordinary-M helpers form 14 disjoint groups of eight. Within each + group, four response columns span the other four, and all eight first native + frames contain a common frame of rank four. +3. Execute the retained gauge compensations first. Then inject each pivot into + its donors at the common rank-four frame. A donor may itself have been gauged: + the earlier compensation reads its original dirt, and the later injection + cancels the pivot's response without changing the donor's initial column. + +The scalar relations are exact, the frame containments are paid, and the new +source/helper operations are included in full-frame inverse cleanup. The word +retains 112 ports, 504 helpers, local dimension 9, and the existing center cut. +The original whole-call owner intervals remain in force. + +The entrance inventory is **40 rank-one kernel pivots, 112 rank-one gauges, +and 56 rank-four pivots**, for total entrance rank **376**. Residual widths are +**56 × 5, 152 × 8, and 296 × 9**. The coalesced local paid profile is + +```text +rank 1 2 3 4 5 6 8 +count 2208 728 184 280 56 56 8 +``` + +Its rank mass is **6016**. The global evidence includes actual whole-residual +owners, the paid invoice, and exact outer assembly; the reported κ is not +inferred from the local inventory alone. + +PR531 supplies the SAME504 scalar architecture, source/target geometry, +coalescing construction, and unchanged certificates. PR510 supplies the bit +rate and its conditional interfaces. **PR510's bit improvement is adopted and +credited; it is not presented as a new bit construction here.** No cold bit +replay was performed for this delta. PR533 is a numerical comparison source. + +## Fast incremental replay + +Provide the baseline package from PR531 at final head +`e07a8a3f9f79c22113398a0c5dbbc7601f489b3e`. Its relevant scientific files match +the original Round20 baseline pins. The baseline argument is the package +directory `research/direct-delivery504-global`, not the repository root. + +```sh +python -B replay_delta.py \ + --baseline /path/research/direct-delivery504-global \ + --work /tmp/rank4-check +``` + +Use a fresh work directory. The default mode reuses the completed phase evidence +bound to the packaged word and pinned baseline. The default replay uses the Python standard library. `--delta-phases` also +requires NumPy. Optional flags are: + +- `--rebuild-local`: reconstruct the changed local word. +- `--delta-phases`: repeat the targeted phase check for the changed frame pairs. + +For example: + +```sh +python -B replay_delta.py \ + --baseline /path/research/direct-delivery504-global \ + --work /tmp/rank4-check-rebuild \ + --rebuild-local --delta-phases +``` + +## Checks completed and their scope + +The component checks completed before packaging include exact scalar/frame +replay (**2.15 seconds**), the targeted phase delta (**2.29 seconds**), and +the independent check (**6.88 seconds**). Phase coverage consists of **126 new +frame pairs, 2801 pairs reused from bound baseline evidence, and 224 endpoint +adapters**. The new global owner/invoice checks and the combined exact outer +assembly passed. A separate small exact adjoint audit checks all 56 rank-four +response relations and every gauge-to-kernel-to-native frame containment. + +These timings describe completed component runs on the preparation machine. +The assembled `replay_delta.py` default wrapper passed end to end in +**22.71 seconds**, including all dependency bindings, the small rank-four +adjoint check, changed scalar/frame replay, actual owner reconstruction and +admission, fresh finite invoice, and both moments plus the 47 outer constraints. +See `evidence/fast-replay/RESULT.json`. The optional reconstruction and phase +flags have separate component evidence; they were not repeated by this wrapper run. The default fast mode also does not imply that predecessor +phase certificates or PR510's full bit pipeline were freshly rerun. + +## Conditional scope and sources + +This is a **finite conditional global witness**. It retains the all-size +compiler, common-label/mutable-basis and target-label realization, normalized +Lemma A realization, whole-call correlated-helper hosting, compressed-window, +restored-work, common-grid/tape, precision, row, and analytic transfer contracts. +The included PR510 carryover note explains why source-register writes use the +same role-independent address pullback at nine stages. It does not replace +those all-size assumptions with a finite scalar replay. No unconditional +multiplication theorem or Lean formalization is asserted. + +- [PR531: baseline SAME504 global construction](https://github.com/CrocSwap/integer-mult-bounds/pull/531). +- [PR510: adopted R480 nine-stage bit supplier](https://github.com/CrocSwap/integer-mult-bounds/pull/510), pinned to `64edee18af02aab0c1696b677a0287dd0146381b`. +- [PR510 pinned README and declared interfaces](https://github.com/DreamingOfClouds/integer-mult-bounds/blob/64edee18af02aab0c1696b677a0287dd0146381b/research/e8-r480-nine-stage/README.md). +- [PR493: former bit supplier and the mutable-source word](https://github.com/CrocSwap/integer-mult-bounds/pull/493). +- [PR484: attributed gauge/kernel primitives](https://github.com/CrocSwap/integer-mult-bounds/pull/484). +- [PR472: common-label and whole-call realization argument](https://github.com/CrocSwap/integer-mult-bounds/pull/472). +- [PR533: latest numerical comparison](https://github.com/CrocSwap/integer-mult-bounds/pull/533). + +The original PR531 and PR510 notices are retained separately. See `NOTICE.md` +and the packaged proof/evidence files for the contribution boundary and pins. + +## Submission validation + +The optional local reconstruction and changed-phase replay passed on Python +3.14.8 with NumPy 2.3.5 in 15.68 seconds. The intermediate checkpoint phase +delta was also freshly checked against the merged #531 baseline (194 edges), +followed by the final 126-edge delta. Independent emitted-program and all 21 +residual-wrapper checks passed. See `LOCAL-VALIDATION.json`. + +The submission starts from main at `f19cb621be2caf3a7291a37c343c1c55afe935e0`. +Logs remain outside the committed package and its manifest. + +## Cross-version reconstruction + +The word comparison excludes only `local_entropy_before` and +`local_entropy_after` inside `report.frame_coalescing`. These floating +diagnostics may round differently across Python versions. Every instruction, +coefficient, frame, exact rank and move count still must match. The rational +moment and assembly checks do not consume these diagnostics. Python 3.11.17 +reconstruction passed after this adjustment; the previous Python 3.14 CI +passed the full changed-phase and wrapper workflow. diff --git a/research/post-center-rank4-global/SOURCES.json b/research/post-center-rank4-global/SOURCES.json new file mode 100644 index 0000000000..d2aec44057 --- /dev/null +++ b/research/post-center-rank4-global/SOURCES.json @@ -0,0 +1,173 @@ +{ + "baseline": { + "repository": "CrocSwap/integer-mult-bounds", + "pull_request": 531, + "commit": "e07a8a3f9f79c22113398a0c5dbbc7601f489b3e", + "path": "research/direct-delivery504-global", + "scientific_files_matched": 69, + "sha256": { + "EXPECTED.json": "0c4c7df98633ace6dd3f1604462dd509945f6b2d463a0b045442b785906101f1", + "LICENSE": "c71d239df91726fc519c6eb72d318ec65820627232b2f796219e87dcf35d0ab4", + "code/adapters_local.py": "4e89a5c517cd87ff6a5aa9b7334c0d74821179ae5777d31284da25b9d8abf113", + "code/assemble.py": "71b4cbbbc5acdfe06ac67879cf54ea761e29e52143af1cd8410ad672a5cc190b", + 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prose/manifest are not required." + }, + "bit": { + "pull_request": 510, + "commit": "64edee18af02aab0c1696b677a0287dd0146381b", + "path": "research/e8-r480-nine-stage", + "expected_sha256": "19b861f69f7602e47b390d472b487d044bff4230b250520807537c213ad0249f" + }, + "new_contribution": "icekylinx with GPT-6 Astra assistance: post-center gauges composed with rank-four kernels, whole-owner integration and exact composition.", + "notices": [ + "NOTICE.md", + "sources/PR531-NOTICE.md", + "sources/PR510-NOTICE.md" + ], + "phase_checkpoint": "Completed POST208 local phase checkpoint, chained to the PR531 cache; included only as a replay dependency.", + "raw_construction_status": "Historical construction-stage wording is preserved in immutable words; current admission is in evidence/local, evidence/audit and EXPECTED.json.", + "submission_base": "f19cb621be2caf3a7291a37c343c1c55afe935e0", + "pr510_expected_encoding": { + "remote_git_blob": "c89fe719e81ae3a4d920bf50f87b7100bbf335ae", + "remote_sha256": "883f7a1a84f31d9e4430e348bc8d9c1ec10210b206ff602dbe126349056af13d", + "packaged_sha256": "19b861f69f7602e47b390d472b487d044bff4230b250520807537c213ad0249f", + "transformation": "One terminal LF appended; JSON data unchanged. The verifier binds the packaged bytes." + } +} diff --git a/research/post-center-rank4-global/code/assemble_combined.py b/research/post-center-rank4-global/code/assemble_combined.py new file mode 100644 index 0000000000..ea740f367e --- /dev/null +++ b/research/post-center-rank4-global/code/assemble_combined.py @@ -0,0 +1,178 @@ +"""Exact composition of the new complex supplier and pinned PR510 bit supplier. + +Prepared for icekylinx with GPT-6 Astra assistance, Apache-2.0. +Adapted from the attributed PR531 assembly. Both rational moment engines and +the 47-constraint outer engine remain pinned inherited implementations. +The bit operator is a cited conditional dependency, not freshly reconstructed. +Usage: assemble_combined.py AUDIT BASE HOSTED PR510_EXPECTED +""" +import hashlib +import importlib.util +import json +import sys +from fractions import Fraction as Q +from pathlib import Path + +if not __debug__: + raise SystemExit('Run with assertions enabled.') +assert __debug__, 'Run with assertions enabled.' +O, V, H, B = map(Path, sys.argv[1:5]) +BIT_COMMIT = '64edee18af02aab0c1696b677a0287dd0146381b' +BIT_EXPECTED_SHA256 = '19b861f69f7602e47b390d472b487d044bff4230b250520807537c213ad0249f' + + +def sha(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def load(name): + path = V / 'work/pr361/code/engines' / (name + '.py') + spec = importlib.util.spec_from_file_location('combined_' + name, path) + module = importlib.util.module_from_spec(spec) + spec.loader.exec_module(module) + return module + + +def decimal(value, places): + scaled = value * 10 ** places + assert scaled.denominator == 1 + digits = str(scaled.numerator).zfill(places + 1) + return digits[:-places] + '.' + digits[-places:] + + +M, Other, Outer = [load(name) for name in ['moment', 'base_two_moment', 'outer']] +owner = json.loads((O / 'OWNERS-AND-PROFILE.json').read_text()) +inv = json.loads((O / 'PREFIX-AND-INVOICE.json').read_text()) +host = json.loads((H / 'HOSTED.json').read_text()) +assert owner['template_sha256'] == inv['template_sha256'] == host['template_sha256'] +assert inv['owner_audit_sha256'] == sha(O / 'OWNERS-AND-PROFILE.json') +assert all(inv['strict_checks'].values()) +P = {int(rank): count for rank, count in owner['paid_profile'].items()} +m, W = 73, owner['live'] +assert m * W - sum(rank * count for rank, count in P.items()) == 2560 + + +def two_moments(profile, dimension, live, lower): + """Keep the full rational sign intervals for both independent engines.""" + fallback = 32 * dimension * dimension * sum(profile.values()) + receipts = [] + for endpoint, accept in [(lower, True), (lower + Q(1, 10**24), False)]: + lo, hi = M.moment(profile, dimension, live, endpoint, True) + a, b = Other.moment(dimension, live, list(profile.items()), endpoint) + f, g = Other.moment(dimension, live, [(1, fallback)], endpoint) + a += f / 10**16 + b += g / 10**16 + assert (hi < 1 and b < 1) if accept else (lo > 1 and a > 1) + receipts.append(dict(endpoint=str(endpoint), accept=accept, + mercator=[str(lo - 1), str(hi - 1)], + base_two=[str(a - 1), str(b - 1)])) + return receipts + + +cert = M.certify(P, m, W, True) +b, bp = Q(cert['lower']), Q(cert['upper']) +assert bp - b == Q(1, 10**24) +complex_receipts = two_moments(P, m, W, b) + +# These checks bind and reprice published bit data. They do not stand in for +# the physical-operator and mutable-source realization dependency. +assert sha(B) == BIT_EXPECTED_SHA256 +bit = json.loads(B.read_text())['nine'] +bitP = {int(rank): count for rank, count in bit['profile'].items()} +bit_inv = bit['bit'] +bm, bW = bit['m'], bit_inv['live'] +assert (bm, bW, bit['stages'], bit['replicas']) == (64, 30720, 9, 32) +assert sum(rank * count for rank, count in bitP.items()) == bit_inv['rank_mass'] +assert bm * bW - bit_inv['rank_mass'] == 9984 +assert max(bitP) == bit_inv['maxchild'] == 8 +assert bm * bm > 2 * 64 * max(bitP) +assert bit_inv['physical'] == bW + 9 == 30729 +assert bit_inv['hosted_residuals'] == 480 * 9 * 32 +assert bit_inv['bank_assignments'] == 0 +assert bit['nine_stage_payload_bits'] < 104 +assert bit_inv['prefix_bits'] < bit_inv['charged_prefix_bits'] == 256 +assert bit_inv['two_level_coefficient_bits'] < bit_inv['charged_two_level_coefficient_bits'] == 512 +assert bit_inv['row_coefficient'] < 20161 +c = Q(bit['bit_lower']) +assert c == Q(bit['bit_lower_decimal']) +bit_receipts = two_moments(bitP, bm, bW, c) + +eta = beta = grid = Q(1, 10**18) +s = min(c, (1 - beta) * b) - Q(1, 10**24) +assert 0 < s < c and s < (1 - beta) * b +coeff = bit_inv['charged_two_level_coefficient_bits'] +row = max(20161, bit_inv['row_coefficient'], inv['finite']['physical_row_coefficient']) +chain, cuts = [Q(384599, 10**10)], [] + + +def ceil(value): + return -(-value.numerator // value.denominator) + + +for _ in range(6): + old = chain[-1] + a = (1 - s) * s + s * old + gap = min(s - a, 1 - a - s, 1 - a - s * (1 - old), 1 - s) + assert old < a < s < 1 - a and gap > 0 + cut = max(ceil(36 / gap**2), ceil(2 * (4 + coeff) / gap)) + assert cut * gap**2 >= 36 and cut * gap >= 2 * (4 + coeff) + cuts.append(dict(gap=str(gap), cutoff_log2=str(cut))) + chain.append(a) +q = chain[-1] * (1 - 2 * eta) +margin = (1 - eta) * q / (1 + q) +ticks = margin / grid +kap = grid * ((ticks.numerator - 1) // ticks.denominator) +bridge = {'semantic': {'C0': {'base': 2, 'exponent': 210000}, 'strict_literal_gap': 1}, + 'rows': {'degree_gap': Q(10**6) - Q(51 * row, 25)}} +assembly = Outer.assembly(chain[-1], b, bridge, kap, eta=eta, beta=beta) +assert len(assembly['strict_constraints']) == 47 +assert all(value > 0 for value in assembly['strict_constraints'].values()) +controls = [] +for name, k, e, be in [('next_grid', kap + grid, eta, beta), + ('zero_eta', kap, Q(0), beta), + ('zero_beta', kap, eta, Q(0)), + ('unit_beta', kap, eta, Q(1))]: + try: + Outer.assembly(chain[-1], b, bridge, k, eta=e, beta=be) + except AssertionError: + controls.append(name) + else: + raise AssertionError(name) + +baselines = {'PR531': Q('0.001517760977820331'), + 'rejected_POST208_checkpoint': Q('0.001543640781718742'), + 'PR533': Q('0.001524207950793244')} +res = dict( + status='PASS_ASYNC_COMPLEX_AND_CITED_BIT_EXACT_ASSEMBLY', + complex_lower=str(b), complex_decimal=decimal(b, 24), + next_b_rejected=str(bp), exact_moment_receipts=complex_receipts, + bit_lower=str(c), bit_decimal=decimal(c, 24), + bit_exact_moment_receipts=bit_receipts, + bit_result_sha256=sha(B), + bit_dependency={'pull_request': 510, 'commit': BIT_COMMIT, + 'path': 'research/e8-r480-nine-stage', + 'expected_sha256': BIT_EXPECTED_SHA256}, + bit_prefix_bits=bit_inv['charged_prefix_bits'], + bit_charged_two_level_coefficient_bits=coeff, + external_row_allowance=row, + kappa=str(kap), kappa_decimal=decimal(kap, 18), + binding_component='bit' if c < (1 - beta) * b else 'complex', + improvements={name: {'baseline': str(value), + 'relative_gain': str(kap / value - 1), + 'percent_display': f'{float(100 * (kap / value - 1)):.8f}'} + for name, value in baselines.items()}, + strict_outer_constraints={k: str(v) for k, v in assembly['strict_constraints'].items()}, + outer_controls=controls, bootstrap=cuts, + complex_template_sha256=host['template_sha256'], + owner_audit_sha256=sha(O / 'OWNERS-AND-PROFILE.json'), + invoice_sha256=sha(O / 'PREFIX-AND-INVOICE.json'), + bit_scope='Pinned PR510 published profile and operator are cited dependencies. ' + 'Both exact moments are freshly repriced here; the unchanged physical ' + 'bit operator is not cold-reconstructed. See PR510-MUTABLE-SOURCE-CARRYOVER.md.', + scope='Conditional finite witness under the retained all-size compiler, ' + 'common-label/mutable-basis, whole-call hosting, restored-work, ' + 'precision/tape and analytic-transfer contracts. Fresh complex admission ' + 'and finite invoice are separately hash-bound; no unconditional theorem is claimed.') +(O / 'EXACT-ASSEMBLY.json').write_text(json.dumps(res, indent=2) + '\n') +print(res['status'], 'b', res['complex_decimal'], 'kappa', res['kappa_decimal']) +print(json.dumps(res['improvements'], sort_keys=True)) diff --git a/research/post-center-rank4-global/code/audit_post_rank4.py b/research/post-center-rank4-global/code/audit_post_rank4.py new file mode 100644 index 0000000000..073c1bb535 --- /dev/null +++ b/research/post-center-rank4-global/code/audit_post_rank4.py @@ -0,0 +1,178 @@ +"""Independent, small exact audit of post-gauge rank-four kernel blocks. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. +This does not import the response builder, run a full endpoint replay, or +certify Clifford phases/global hosting. It pulls the raw B suffix backwards +and checks the new local algebra and all entrance-frame containments. +""" +import argparse +import gzip +import hashlib +import json +import time +from collections import Counter, defaultdict +from fractions import Fraction as Q +from pathlib import Path + + +def basis(vectors): + rows = {} + for x in vectors: + for p in sorted(rows, reverse=True): + if x >> p & 1: + x ^= rows[p] + if x: + p = x.bit_length()-1 + for q in rows: + if rows[q] >> p & 1: + rows[q] ^= x + rows[p] = x + return tuple(rows[p] for p in sorted(rows, reverse=True)) + + +def inside(a, b): + return basis(tuple(a)+tuple(b)) == basis(b) + + +def axpy(dst, src, q): + for t, x in list(src.items()): + z = dst.get(t, Q(0))+q*x + if z: + dst[t] = z + else: + dst.pop(t, None) + + +def digest(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def run(source, groups_path, gauges_path, out): + started = time.monotonic() + word = json.load(gzip.open(source)) + groups = json.loads(groups_path.read_text()) + original_gauges = {int(h): basis(E) for h, E in + json.loads(gauges_path.read_text())['gauge'].items()} + v, R, hdim = (word['report'][key] for key in ('v', 'R', 'h')) + offset, n = 2*v, 2*v+R + assert (v, R, hdim) == (112, 504, 9) + touched_early = {r for e in word['A']+word['cut'] + for r in (e[1:3] if e[0] == 'add' else e[1:2])} + first = {} + for e in word['B']: + for r in (e[1:3] if e[0] == 'add' else e[1:2]): + first.setdefault(r, basis(e[-1])) + assert not (e[0] == 'add' and v <= e[2] < offset + and not v <= e[1] < offset), 'Y is never read into X/helpers' + for e in word['A']+word['cut']: + if v <= e[1] < offset: + assert e[0] == 'add' and not v <= e[2] < offset + + # Exact reverse accumulation: column[r][t] is the coefficient of the + # scalar present in r at B's beginning in output target t after raw B. + column = [{r-v: Q(1)} if v <= r < offset else {} for r in range(n)] + for e in reversed(word['B']): + if e[0] == 'add': + _, t, s, a, b, _ = e + axpy(column[s], column[t], Q(a, b)) + else: + _, t, a, b, _ = e + column[t] = {j: Q(a, b)*x for j, x in column[t].items()} + + all_donors = set() + all_pivots = set() + group_rows = [] + shear_count = 0 + for group in groups: + E = basis(group['E']) + donors, pivots = group['donors'], group['pivots'] + assert len(E) == len(donors) == len(pivots) == 4 + assert not (set(donors+pivots) & (all_donors | all_pivots)) + assert not set(donors) & set(pivots) + all_donors.update(donors) + all_pivots.update(pivots) + for helper in donors+pivots: + assert offset+helper not in touched_early + assert helper in original_gauges + assert inside(E, first[offset+helper]) + for donor in donors: + assert inside(original_gauges[donor], E) + for pivot in pivots: + relation = {int(d): Q(q) for d, q in group['relations'][str(pivot)].items()} + assert set(relation) <= set(donors) + assert all(q.denominator & (q.denominator-1) == 0 for q in relation.values()) + expected = {} + for donor, q in relation.items(): + axpy(expected, column[offset+donor], q) + assert column[offset+pivot] == expected + shear_count += len(relation) + group_rows.append({'E': list(E), 'donors': donors, 'pivots': pivots, + 'native_first_ranks': [len(first[offset+x]) for x in donors+pivots], + 'exact_raw_B_relations': True, + 'gauge_to_kernel_to_native_nesting': True}) + assert len(groups) == 14 and len(all_donors) == len(all_pivots) == 56 + assert all_donors | all_pivots == set(range(392, 504)) + + # Independently form K^{-1} D for the B-born gauges, using only the + # unchanged preconditioner. This checks the compensations can happen + # at their lines while every Y remains compatible with its next B use. + gauges = {helper: E for helper, E in original_gauges.items() + if helper not in all_pivots} + assert len(original_gauges) == 168 and len(gauges) == 112 + assert not {offset+helper for helper in gauges} & touched_early + rows = [{} for _ in range(n)] + for helper in gauges: + for target, q in column[offset+helper].items(): + rows[v+target][helper] = q + for e in word['precondition']: + if e[0] == 'add': + _, t, s, a, b, _ = e + axpy(rows[t], rows[s], Q(a, b)) + else: + _, t, a, b, _ = e + rows[t] = {j: Q(a, b)*q for j, q in rows[t].items()} + target_frames = {} + compensation_additions = 0 + for target in range(v): + Es = [gauges[helper] for helper in rows[v+target]] + for E in Es: + assert inside(E, first[v+target]) + for E in Es: + for F in Es: + assert inside(E, F) or inside(F, E) + target_frames[target] = list(max(Es, key=len, default=())) + compensation_additions += len(Es) + for helper, E in gauges.items(): + assert inside(E, first[offset+helper]) + + result = { + 'status': 'PASS_EXACT_LOCAL_POST_GAUGE_RANK4_DELTA', + 'scope': 'Raw-B adjoint relations, dyadic coefficients, untouched-before-B guards, gauge compensation compatibility, and gauge/kernel/native frame nesting only. No full endpoint or phase replay and no global hosting claim.', + 'source_sha256': digest(source), + 'groups_sha256': digest(groups_path), + 'original_gauges_sha256': digest(gauges_path), + 'groups': group_rows, + 'remaining_post_gauges': len(gauges), + 'gauge_compensation_additions': compensation_additions, + 'rank4_pivots': len(all_pivots), + 'kernel_shears': shear_count, + 'new_rank4_entrance_mass': 4*len(all_pivots), + 'removed_rank1_gauge_mass': len(all_pivots), + 'entrance_rank_gain': 3*len(all_pivots), + 'ordering_required': 'unchanged pre-A face kernel; unchanged A/cut; all remaining post-gauge target compensations; rank4 donor shears; raw B; inverse source/helper cleanup', + 'seconds': time.monotonic()-started, + } + out.parent.mkdir(parents=True, exist_ok=True) + out.write_text(json.dumps(result, indent=2)+'\n') + print(json.dumps({key: value for key, value in result.items() + if key != 'groups'}, indent=2)) + + +if __name__ == '__main__': + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--source', required=True, type=Path) + parser.add_argument('--groups', required=True, type=Path) + parser.add_argument('--gauges', required=True, type=Path) + parser.add_argument('--out', required=True, type=Path) + args = parser.parse_args() + run(args.source, args.groups, args.gauges, args.out) diff --git a/research/post-center-rank4-global/code/build_rank4_portable.py b/research/post-center-rank4-global/code/build_rank4_portable.py new file mode 100644 index 0000000000..bcc424edad --- /dev/null +++ b/research/post-center-rank4-global/code/build_rank4_portable.py @@ -0,0 +1,154 @@ +"""Replay the frozen SAME504 post-gauge/rank-four entrance construction. + +Prepared for icekylinx with GPT-6 Astra assistance. Apache-2.0. + +This is a deterministic replay, with no candidate search. The inherited +gk_word/gk_common response and kernel primitives are by DreamingOfClouds, +prepared with Claude Opus 5.5 (Anthropic), PR484, and retain their notices. +The input SAME504 scalar word retains its own source and construction credits. + +The new order is: original static40 kernels and A; center cut; 112 gauge +compensations; 56 rank-four pivot injections; native B; full-frame cleanup. +Every pivot is removed from the post-gauge set. A gauge donor receives new +pivot dirt only after its own initial dirt has been compensated. +""" +import argparse +import copy +import gzip +import hashlib +import json +import sys +from collections import Counter +from fractions import Fraction as Q +from pathlib import Path + + +def normalize_gzip_header(result): + # Frozen artifact header: 1f8b0800000000000203. With mtime=0, + # Python 3.11 can inherit zlib's OS byte (3 on this build), whereas + # Python 3.14 writes 255. This byte is metadata, outside the deflate + # payload and its CRC. Fix only that byte to the frozen value; retain + # strict checks of both the entire compressed file and decoded content. + assert result[:9] == bytes.fromhex('1f8b08000000000002'), 'gzip header' + assert len(result) >= 18, 'gzip size' + return result[:9] + bytes([3]) + result[10:] + + +def main(): + # An assert alone would itself disappear under -O, so reject optimized + # execution explicitly before relying on the proof checks below. + if not __debug__: + raise RuntimeError('Proof replay requires Python without -O or -OO.') + assert __debug__, 'proof assertions must remain enabled' + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--base-word', type=Path, required=True) + ap.add_argument('--recipe', type=Path, required=True) + ap.add_argument('--gk-dir', type=Path, required=True) + ap.add_argument('--out', type=Path, required=True, + help='New output directory; writes FULL-WORD.json.gz and REPLAY.json.') + a = ap.parse_args() + sys.path.insert(0, str(a.gk_dir.resolve())) + import gk_word as g + import gk_common as common + g.V = common.V = 112 + common.DATA = 7168 + source = a.base_word.read_bytes() + recipe = json.loads(a.recipe.read_text()) + assert hashlib.sha256(source).hexdigest() == recipe['source_sha256'], 'source hash' + raw = json.loads(gzip.decompress(source)) + assert len(raw['ports']) == 112 and raw['report']['R'] == 504 + assert raw['report']['h'] == len(g.FULL) == 9 + sel = copy.deepcopy(recipe['selection']) + groups = recipe['rank4_groups'] + gauges = {int(h): g.basis(E) for h,E in sel['gauge'].items()} + pivots = {p for cl in groups for p in cl['pivots']} + donors = {d for cl in groups for d in cl['donors']} + assert len(groups) == 14 and len(pivots) == len(donors) == 56 + assert not pivots & donors and not pivots & set(gauges) + assert pivots | donors == set(range(392,504)) + assert len(gauges) == 112 and donors <= set(gauges) + assert sum(len(cl['pivots'])+len(cl['donors']) for cl in groups) == 112 + static = {h for cl in sel['kernel'] for h in cl['pivots']+cl['donors']} + assert not static & (set(gauges)|pivots) + assert sum(len(cl['pivots']) for cl in sel['kernel']) == 40 + touched = {r for e in raw['A']+raw['cut'] + for r in (e[1:3] if e[0]=='add' else e[1:2])} + assert not {224+h for h in set(gauges)|pivots} & touched + for e in raw['A']+raw['cut']: + if 112 <= e[1] < 224: + assert e[0]=='add' and not 112 <= e[2] < 224 + + cols = g.responses(raw) + first = g.first_frames(raw) + w = g.build(raw, {'kernel':sel['kernel']}, check=False) + prefix = [] + for h,E in sorted(gauges.items()): + w['start_extra'][str(224+h)] = list(E) + for t,q in sorted(cols[h].items()): + prefix.append(['add',112+t,224+h,-q.numerator,q.denominator,list(E)]) + assert len(prefix) == recipe['rank4_anchor_after_post_gauge_additions'] == 320 + injections = [] + for cl in groups: + E = g.basis(cl['E']) + assert len(E) == 4 + for h in cl['pivots']+cl['donors']: + assert g.span(E) <= g.span(first[h]) + for d in cl['donors']: + assert g.span(gauges[d]) <= g.span(E) + for p in cl['pivots']: + rel = g.solve_relation(cols, cl['donors'], p) + frozen = {int(d):Q(q) for d,q in cl['relations'][str(p)].items()} + assert rel == frozen, ('frozen relation',p) + w['start_extra'][str(224+p)] = list(E) + for d,q in sorted(rel.items()): + assert q.denominator & (q.denominator-1) == 0 + injections.append(['add',224+d,224+p,-q.numerator,q.denominator,list(E)]) + w['B'] = prefix+injections+w['B'] + w['cleanup'] = [g.inverse(e,g.FULL) for e in reversed(w['A']+w['B']) + if not 112 <= e[1] < 224] + H = g.profile(w) + widths = [9-len(w['start_extra'].get(str(224+h),[])) for h in range(504)] + mass = sum(r*z for r,z in H.items()) + entering = sum(x<9 for x in widths) + rank = sum(9-x for x in widths) + assert Counter(widths) == Counter({5:56,8:152,9:296}) + assert mass == 6016 and rank == 376 and entering == 208 + w['report'].update(local_profile=dict(sorted(H.items())), + local_rank_mass=mass, + width_inventory=dict(sorted(Counter(widths).items())), + post_center_gauges=len(gauges), + post_center_compensation_additions=len(prefix), + entrance_rank=rank, entering_helpers=entering, + rank4_kernel_groups=len(groups), + rank4_kernel_pivots=len(pivots), + rank4_kernel_additions=len(injections), + post_gauge_kernel_anchor=len(prefix), + status='EXACT_RELATIONS_AND_FRAMES_PENDING_INDEPENDENT_REPLAY') + for key in ('global_profile','live','complex_coarse_float','gain_percent_float'): + w['report'].pop(key,None) + # Normalize JSON keys before comparing the frozen report: profile indices + # are integer keys in memory, and JSON object keys are strings on disk. + assert json.loads(json.dumps(w['report'])) == recipe['report'], 'frozen report' + result = normalize_gzip_header(g.dump(w)) + compressed_hash = hashlib.sha256(result).hexdigest() + content_hash = hashlib.sha256(gzip.decompress(result)).hexdigest() + assert compressed_hash == recipe['output_sha256'], 'frozen compressed word' + assert content_hash == recipe['output_uncompressed_sha256'], 'frozen content' + receipt = dict(status='PASS_FROZEN_RANK4_REPLAY', + source_sha256=recipe['source_sha256'], + recipe_sha256=hashlib.sha256(a.recipe.read_bytes()).hexdigest(), + output_sha256=compressed_hash, + output_uncompressed_sha256=content_hash, + local_profile=dict(sorted(H.items())), + width_inventory=dict(sorted(Counter(widths).items())), + local_rank_mass=mass, entrance_rank=rank, + independent_scalar_replay_performed=False, + scope='Exact frozen relations, native frame/profile replay and byte-identical reconstruction only; the separate selected-word receipt supplies the independent scalar audit.') + a.out.mkdir(parents=True,exist_ok=False) + (a.out/'FULL-WORD.json.gz').write_bytes(result) + (a.out/'REPLAY.json').write_text(json.dumps(receipt,indent=2)+'\n') + print(json.dumps(receipt,sort_keys=True)) + + +if __name__ == '__main__': + main() diff --git a/research/post-center-rank4-global/evidence/COALESCING.json b/research/post-center-rank4-global/evidence/COALESCING.json new file mode 100644 index 0000000000..4836c7d8ce --- /dev/null +++ b/research/post-center-rank4-global/evidence/COALESCING.json @@ -0,0 +1,6710 @@ +{ + "status": "EXACT_MONOTONE_FRAME_PROMOTIONS", + "input_sha256": "5d510cf5588450b520cd6481d328b3849a31d56dfb250b7c542a5edf9f06052f", + "input_word": "round21/entrance/rank4/FULL-WORD.json.gz", + "v": 112, + "R": 504, + "local_profile_before": { + "1": 2240, + "2": 888, + "3": 216, + "4": 168, + "5": 56, + "6": 56, + "8": 8 + }, + "local_profile_after": { + "1": 2208, + "2": 728, + "3": 184, + "4": 280, + "5": 56, + "6": 56, + "8": 8 + }, + "local_entropy_before": 21751.125975735074, + "local_entropy_after": 21457.33997944468, + "local_entropy_saving": 293.7859962903931, + "moves": 248, + "passes": 2, + "trace": [ + { + "section": "B", + "index": 1439, + "old_frame": [ + 257, + 128, + 64, + 33, + 16, + 8, + 6 + ], + "new_frame": [ + 257, + 128, + 64, + 33, + 16, + 8, + 5, + 3 + 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"2458935257685996988742640373065976070329449/1000000000000000000000000000000000000000000000000", + "cutoff_log2": "5953992899983" + }, + { + "gap": "3903429658882570053869779063890487076693439864938224920711764043/1000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "2362706551212503884" + }, + { + "gap": "6196488115828958169115639209590415499556136073588052115988731692262446100679396643601/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "937586312398646736663238" + }, + { + "gap": "9836597127409545868283314560200714400615051377525575546685064142160089262527033828463395195128020962202307/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "372059785734359967876272695321" + }, + { + "gap": "15615077643704555604994425885436776413026753051081759442584659149990102084077935377970027573490939593604820736101011172907705849/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "147643456746455004602217631773182069" + }, + { + "gap": "24788109816909242260870500225499627723644532489569312798749735575207324411482233239583707631312250354296798781303533719966836301725924238770077838843/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000", + "cutoff_log2": "58588944991775862180494665844538845859209" + } + ], + "complex_template_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "owner_audit_sha256": "86dd8c1851ec818628dee96ceafbfa31611d1a80eb4fd8084b207607795895ba", + "invoice_sha256": "c79683443afa9a974fe8a8fd009f8efa8358d3f5d8b3972ae058b07869166172", + "bit_scope": "Pinned PR510 published profile and operator are cited dependencies. Both exact moments are freshly repriced here; the unchanged physical bit operator is not cold-reconstructed. See PR510-MUTABLE-SOURCE-CARRYOVER.md.", + "scope": "Conditional finite witness under the retained all-size compiler, common-label/mutable-basis, whole-call hosting, restored-work, precision/tape and analytic-transfer contracts. Fresh complex admission and finite invoice are separately hash-bound; no unconditional theorem is claimed." +} diff --git a/research/post-center-rank4-global/evidence/audit/GLOBAL-PREFIX.json b/research/post-center-rank4-global/evidence/audit/GLOBAL-PREFIX.json new file mode 100644 index 0000000000..1295f686ae --- /dev/null +++ b/research/post-center-rank4-global/evidence/audit/GLOBAL-PREFIX.json @@ -0,0 +1,14 @@ +{ + "status": "PASS_ASYNC_GLOBAL_PREFIX", + "template_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "global_prefix_bits": 225, + "retained_payload_bits": 512, + "complete_invocation_cover_sweeps": 72, + "bridge_factor_two_sweeps": 72, + "local_scalar_coefficient_work_prefix_bits": 40, + "stream_input_sup_to_l2_bits": 37, + "primitive_arithmetic_margin_bits": 4, + "controller_audit_sha256": "e420a2e8d4e861964fdc76127b54e8217808544aa4ba93165da0b1d2aba8d291", + "independent_local_replay_sha256": "e2b567161204bbd2d6eeced1f5550fea904dd714f31c185957f350022d164a23", + "proof": "Each complete normalized invocation has unitary helper endpoints and a data shear with at most two unitary summands. Actual full orthogonal owner charts act by right-translation bijections on the retained cover group. Count all 72 complete local sweeps and 72 individual bridge sweeps. Unit-modulus phases, idle children, terminal translations and normalized spectator endpoints are unitary. The independently recounted scalar/Horner envelope uses 40 bits; input sup-to-L2 uses 37; arithmetic margin is 4. Total 225 < 512. All-size child/compiler and precision/tape interfaces remain inherited." +} diff --git a/research/post-center-rank4-global/evidence/audit/IDLE-REMAINDER-FRAMES.json b/research/post-center-rank4-global/evidence/audit/IDLE-REMAINDER-FRAMES.json new file mode 100644 index 0000000000..615be72e22 --- /dev/null +++ b/research/post-center-rank4-global/evidence/audit/IDLE-REMAINDER-FRAMES.json @@ -0,0 +1,14 @@ +{ + "status": "PASS_LITERAL_IDLE_REMAINDER_FRAMES", + "template_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "uncompressed_frames_sha256": "b486b39b8681fdf55b913023a095900b8b555b91207783262835afdb9240146f", + "children": 4384, + "rank_profile": { + "2": 448, + "3": 1952, + "7": 352, + "48": 1632 + }, + "source_data_phase_sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa", + "scope": "Actual orthogonal axes after the independently checked whole-owner prefix in each inherited pending child." +} diff --git a/research/post-center-rank4-global/evidence/audit/OWNERS-AND-PROFILE.json b/research/post-center-rank4-global/evidence/audit/OWNERS-AND-PROFILE.json new file mode 100644 index 0000000000..200c88cdc8 --- /dev/null +++ b/research/post-center-rank4-global/evidence/audit/OWNERS-AND-PROFILE.json @@ -0,0 +1,39 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_OWNERS_AND_PROFILE", + "template_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "paid_profile": { + "1": 158976, + "2": 52864, + "3": 15200, + "4": 20160, + "5": 4032, + "6": 4032, + "7": 352, + "8": 576, + "48": 1632 + }, + "live": 7168, + "physical": 7682, + "rank_mass": 520704, + "deficit": 2560, + "hosted_residuals": 36288, + "banked_residuals": 0, + "all_live_owners_per_call_distinct": true, + "owners_per_call": 728, + "actual_helper_owner_charts": 36288, + "actual_73column_sigmas": 4074, + "cross_replica_helper_roles": 27552, + "explicit_idle_remainder_children": 4384, + "source_idle_children_charged": 16128, + "source_artifacts": { + "split-centres/CANONICAL-WORD.json.gz": "e070ae2c78b4a1b644b418774af62b40d8d16e6ba89602f0474afb557d507c37", + "split-centres/LOCAL-PROGRAMS.json.gz": "d403a1b263a43a40448046c7661919206d222bf37e85b63a4a8950144b8c158f", + "split-centres/LOCAL-CHECKS.json": "c592e3e4eabbe4c7417546f834c0ee3779d9d139a546d842874726aa193f6997", + "split-centres/RESIDUAL-ADAPTERS.json": "33a7917c83f676c46c78196ffb17d194a351d1fdab61b3451730742da5a8086c", + "split-centres/CLIFFORD-RECIPES.json": "577a1be13f5140d9c3997637784b2f812f46b24c61877699430b02de4f662102", + "split-centres/CLIFFORD-REVIEW.json": "cd48fe6882a39c57021c4614747cc5c2c88ec07e806cebb914cf533997b73d9b", + "split-centres/INDEPENDENT-LOCAL-REPLAY.json": "e2b567161204bbd2d6eeced1f5550fea904dd714f31c185957f350022d164a23", + "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "controller_audit_sha256": "e420a2e8d4e861964fdc76127b54e8217808544aa4ba93165da0b1d2aba8d291" +} diff --git a/research/post-center-rank4-global/evidence/audit/PREFIX-AND-INVOICE.json b/research/post-center-rank4-global/evidence/audit/PREFIX-AND-INVOICE.json new file mode 100644 index 0000000000..b6d6dc05a8 --- /dev/null +++ b/research/post-center-rank4-global/evidence/audit/PREFIX-AND-INVOICE.json @@ -0,0 +1,106 @@ +{ + "status": "PASS_INDEPENDENT_ASYNC_SCALAR_PREFIX_AND_FINITE_INVOICE", + "template_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "parent_template_sha256": "0cf4e24fa2d87ab9c6808c57221bcbe7217f5d3cc0ce50e51a5be04d03afa307", + "owner_audit_sha256": "86dd8c1851ec818628dee96ceafbfa31611d1a80eb4fd8084b207607795895ba", + "controller_audit_sha256": "e420a2e8d4e861964fdc76127b54e8217808544aa4ba93165da0b1d2aba8d291", + "independent_local_replay_sha256": "e2b567161204bbd2d6eeced1f5550fea904dd714f31c185957f350022d164a23", + "canonical_word_sha256": "e070ae2c78b4a1b644b418774af62b40d8d16e6ba89602f0474afb557d507c37", + "local_programs_sha256": "d403a1b263a43a40448046c7661919206d222bf37e85b63a4a8950144b8c158f", + "local_checks_sha256": "c592e3e4eabbe4c7417546f834c0ee3779d9d139a546d842874726aa193f6997", + "global_prefix_bits": 225, + "charged_prefix_bits": 512, + "complete_invocation_sweeps": 72, + "bridge_sweeps": 72, + "row_prefix_extra": 1024, + "local": { + "backward": { + "events": 22253, + "macros": 17060, + "real_component_primitives": 169716, + "prefix_l1": "1014379823602", + "prefix_bits": 40, + "coefficient_work_primitive_count": 84086, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 208, + "post_wrappers": 208, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + }, + "forward": { + "events": 22253, + "macros": 17060, + "real_component_primitives": 169668, + "prefix_l1": "86491024246", + "prefix_bits": 37, + "coefficient_work_primitive_count": 84054, + "all_exact_columns": 728, + "dirty_helper_columns": 504, + "all_dirty_helper_columns_restored": true, + "private_centres_and_coefficient_work_cleared": true, + "pre_wrappers": 208, + "post_wrappers": 208, + "endpoint_evidence": "Hash-bound fresh INDEPENDENT-LOCAL-REPLAY.json" + } + }, + "helpers": 504, + "centres": 8, + "live": 7168, + "physical": 7682, + "physical_stock_identity": { + "data_and_owner_families": 7168, + "local_helpers": 504, + "private_centres": 8, + "coefficient_work": 2 + }, + "entering_helpers": 208, + "entrance_rank": 376, + "width_inventory": { + "5": 56, + "8": 152, + "9": 296 + }, + "local_adapters": 345728, + "local_primitive_bound": 8966226286324, + "wrapper_elementary_factors_charged": 4313088, + "factors_per_wrapper": 144, + "compiler": 25934336, + "unhosted_pervertex": 1580469570081368, + "hosted_rebased_pervertex": 1580469569781992, + "conservative_pervertex_used": 4458416559805936, + "retained_prior_overcharge": { + "sha256": "ce1bfa49be88ae67a404f606a11db2232b7e1f2610d4418058e39749d86d8478", + "previous_pervertex_allowance": 2877946989724568, + "added_complete_new_pervertex": 1580469570081368, + "policy": "Retain old allowance and add the entire fresh recount." + }, + "finite": { + "physical_stock_bits": 2641, + "router_bits": 7985, + "literal_bits": 35282, + "physical_row_coefficient": 16467, + "retained_row_coefficient": 20161, + "required_C0_bits": 200012, + "halving_integer_inequality": [ + 5329, + 4608 + ], + "G_exponent": 30000, + "E_exponent": 100000, + "C0_exponent": 210000 + }, + "strict_checks": { + "local_primitive_bound": true, + "logical": true, + "router": true, + "literal": true, + "mass": true, + "precision": true, + "tape": true, + "row": true, + "halving": true + }, + "scope": "Fresh emitted primitive/Horner, prefix, wrapper and finite recount, using the hash-bound independent local all-column/frame replay and actual whole-owner audit. No old INTEGRATION receipt is used to certify the changed word. The inherited all-size compiler, precision/tape and analytic-transfer contracts remain conditional. Retained payload 512 and physical row allowance 20161 are unchanged." +} diff --git a/research/post-center-rank4-global/evidence/fast-replay/RESULT.json b/research/post-center-rank4-global/evidence/fast-replay/RESULT.json new file mode 100644 index 0000000000..36bfa20f9a --- /dev/null +++ b/research/post-center-rank4-global/evidence/fast-replay/RESULT.json @@ -0,0 +1,50 @@ +{ + "status": "PASS_FAST_RANK4_DELTA_REPLAY", + "kappa": "1584931111785787/1000000000000000000", + "kappa_decimal": "0.001584931111785787", + "complex_lower": "1589991533606044174031/1000000000000000000000000", + "binding_component": "bit", + "elapsed_seconds": 22.713474808000683, + "predecessor_cold_replay": false, + "unchanged_bit_operator_rebuilt": false, + "changed_phase_edges_replayed": false, + "scalar_factory_rebuilt": false, + "steps": [ + { + "name": "rank-four-adjoint", + "seconds": 0.21650877100000798, + "log": "rank-four-adjoint.log" + }, + { + "name": "changed-scalar-and-frames", + "seconds": 1.6470429979999608, + "log": "changed-scalar-and-frames.log" + }, + { + "name": "new-local-controller-binding", + "seconds": 3.5842828450004163, + "log": "new-local-controller-binding.log" + }, + { + "name": "emit-actual-owners", + "seconds": 9.20240320999983, + "log": "emit-actual-owners.log" + }, + { + "name": "independent-whole-owners", + "seconds": 4.7526987949986506, + "log": "independent-whole-owners.log" + }, + { + "name": "fresh-prefix-and-invoice", + "seconds": 2.1175916970005346, + "log": "fresh-prefix-and-invoice.log" + }, + { + "name": "two-moments-and-outer", + "seconds": 0.8016864620003616, + "log": "two-moments-and-outer.log" + } + ], + "scope": "Fresh changed-word and actual-host finite checks; byte-pinned completed phase/data/bit dependencies reused by default. All-size realization and analytic-transfer interfaces remain conditional." +} diff --git a/research/post-center-rank4-global/evidence/hosted/HOSTED.json b/research/post-center-rank4-global/evidence/hosted/HOSTED.json new file mode 100644 index 0000000000..23544427c6 --- /dev/null +++ b/research/post-center-rank4-global/evidence/hosted/HOSTED.json @@ -0,0 +1,49 @@ +{ + "status": "EMITTED_ASYNCHRONOUS_WHOLE_OWNER_COMPLEX_TEMPLATE", + "template_sha256": "b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c", + "parent_template_sha256": "0cf4e24fa2d87ab9c6808c57221bcbe7217f5d3cc0ce50e51a5be04d03afa307", + "live": 7168, + "physical": 7682, + "global_profile": { + "1": 158976, + "2": 52864, + "3": 15200, + "4": 20160, + "5": 4032, + "6": 4032, + "7": 352, + "8": 576, + "48": 1632 + }, + "rank_mass": 520704, + "deficit": 2560, + "maxchild": 48, + "hosted_residuals": 36288, + "banks_per_stage": [ + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0, + 0 + ], + "entering_helper_roles": 14976, + "unique_actual_73column_sigmas": 4074, + "sigma_stream_sha256": "e360bba709f4bcb1d5bce0a2e80add570fe3f3a4d15347ef2abd7d6f433a2a40", + "cross_replica_helper_roles": 27552, + "asynchronous_order_sha256": "2acd6b2004be3d3ef6645f3c968feb22b5167c400bb49eb446821e5cb7af6eee", + "source_artifacts": { + "split-centres/CANONICAL-WORD.json.gz": "e070ae2c78b4a1b644b418774af62b40d8d16e6ba89602f0474afb557d507c37", + "split-centres/LOCAL-PROGRAMS.json.gz": "d403a1b263a43a40448046c7661919206d222bf37e85b63a4a8950144b8c158f", + "split-centres/LOCAL-CHECKS.json": "c592e3e4eabbe4c7417546f834c0ee3779d9d139a546d842874726aa193f6997", + "split-centres/RESIDUAL-ADAPTERS.json": "33a7917c83f676c46c78196ffb17d194a351d1fdab61b3451730742da5a8086c", + "split-centres/CLIFFORD-RECIPES.json": "577a1be13f5140d9c3997637784b2f812f46b24c61877699430b02de4f662102", + "split-centres/CLIFFORD-REVIEW.json": "cd48fe6882a39c57021c4614747cc5c2c88ec07e806cebb914cf533997b73d9b", + "split-centres/INDEPENDENT-LOCAL-REPLAY.json": "e2b567161204bbd2d6eeced1f5550fea904dd714f31c185957f350022d164a23", + "work/complex-nine-native/DATA-PHASES.json": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa" + }, + "scope": "New emitted complete-invocation placement; independent controller/spectator/normalization and complete finite invoice admission required." +} diff --git a/research/post-center-rank4-global/evidence/local/CANONICAL-WORD.json.gz b/research/post-center-rank4-global/evidence/local/CANONICAL-WORD.json.gz new file mode 100644 index 0000000000..cbb49a6277 Binary files /dev/null and b/research/post-center-rank4-global/evidence/local/CANONICAL-WORD.json.gz differ diff --git a/research/post-center-rank4-global/evidence/local/CLIFFORD-RECIPES.json b/research/post-center-rank4-global/evidence/local/CLIFFORD-RECIPES.json new file mode 100644 index 0000000000..e791d26d89 --- /dev/null +++ b/research/post-center-rank4-global/evidence/local/CLIFFORD-RECIPES.json @@ -0,0 +1 @@ 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Identical baseline pairs and all endpoint adapters reuse the pinned phase certificates; no full cold replay was performed." +} diff --git a/research/post-center-rank4-global/proof/GLOBAL-HOSTING-PROOF.md b/research/post-center-rank4-global/proof/GLOBAL-HOSTING-PROOF.md new file mode 100644 index 0000000000..845105d4a8 --- /dev/null +++ b/research/post-center-rank4-global/proof/GLOBAL-HOSTING-PROOF.md @@ -0,0 +1,174 @@ +# Round21: rank-four entrances and the explicit mixed-width global host + +## Result and bottleneck + +The new local word, its complete whole-family placement, the finite invoice, +and both exact moment engines give the strict complex lower endpoint + +$$ +b=0.001589991533606044174031. +$$ + +Both engines reject the next $10^{-24}$ endpoint. This exceeds the cited +PR493 bit exponent $0.001565442026981656908596$, and also exceeds PR510's +published nine-stage bit exponent $0.001587447106092548137108$. The complex +component has therefore ceased to be the binding component for either of +those bit suppliers. The final global kappa must be read from the exact +assembly using the selected, separately admitted bit dependency; it is not +the complex-only quotient $b/(1+b)$. + +The retained PR493 control already passes both engines and all 47 outer +inequalities, giving +$\kappa=0.001562995248531632$. Its receipt is +`evidence/audit/EXACT-ASSEMBLY-PR493.json`. The selected final assembly is recorded +separately in `evidence/audit/EXACT-ASSEMBLY.json`: the pinned PR510 composition +passes both exact bit moments, six bootstrap levels and all 47 strict outer +constraints, giving **kappa = 0.001584931111785787**. The PR510 operator remains +a cited conditional dependency; its full physical pipeline was not rebuilt. + +## Local accounting + +There are 112 data ports, 504 helpers, eight copied centres of total paid +rank 64, and local ambient rank nine. The changed entrance inventory is + +| Residual width | Helpers per invocation | Entrance rank per helper | +|---:|---:|---:| +| 5 | 56 | 4 | +| 8 | 152 | 1 | +| 9 | 296 | 0 | + +The 56 rank-four entrances replace 56 rank-one post-centre gauges from the +208-entry checkpoint. The selected construction retains 112 post-centre +rank-one gauges and 40 static rank-one kernel entries. It has 208 entering +helpers and total entrance rank 376. The fresh local scalar, frame, phase, +and wrapper receipts bind the actual selected program; an expected profile +or independent entrance count is not substituted for that program. + +The paid local profile is + +$$ +H_{\rm loc}=2208H_1+728H_2+184H_3+280H_4+56H_5+56H_6+8H_8. +$$ + +Its rank mass satisfies + +$$ +6016=2\cdot112\cdot8+64+56\cdot5+152\cdot8+296\cdot9. +$$ + +Thus every claimed width reduction is matched by the actual local paid +rank before global hosting is credited. + +## Explicit coupled packing + +The unchanged nine-stage, eight-replica controller supplies 72 complete +invocations, ambient rank 73, and 7,168 live data/owner families. The mixed +integer model associates each pending-child pattern with its own allowed +invocation times and widths. Its integer solution is expanded into literal +physical families by bipartite edge colouring. The nominal solver optimum +is used only to discover the witness; the owner audit reads the emitted +maps directly. + +The full eight-replica pattern histogram is: + +| Parent rank | Whole helper widths in the child | Children | Residual rank | +|---:|:---|---:|---:| +| 8 | 8 | 5,376 | 0 | +| 16 | 8, 8 | 2,784 | 0 | +| 16 | 5, 9 | 448 | 2 | +| 16 | 9 | 352 | 7 | +| 32 | 5, 9, 9, 9 | 3,584 | 0 | +| 48 | 9, 9, 9, 9, 9 | 1,952 | 3 | +| 48 | none | 1,632 | 48 | + +It hosts exactly 4,032 width-five, 10,944 width-eight, and 21,312 width-nine +helper roles: 36,288 roles altogether, equal to $72\cdot504$. +In particular, the width-five residual fills the former five-axis remainder +beside three width-nine helpers in every rank-32 pending child. This is the +main new packing feature. + +The remaining 4,384 positive children have profile + +$$ +H_{\rm rem}=448H_2+1952H_3+352H_7+1632H_{48}. +$$ + +Each helper remains on one physical family for its entire invocation. +All occupied blocks within a pending child are disjoint and packed before +the explicitly listed final remainder. Each remainder is completed before +its family is next physically touched by the retained data controller. +There is no split-helper interface or uncharged residual fragment. + +## Physical chart and chronology admission + +For every call, the 224 active data wires and 504 helpers occupy 728 distinct +live physical families. The independent audit reconstructs each owner's +busy interval from the serialized schedule, including every individual +bridge. Each replica's projected controller event sequence equals its +inherited sequence. Only complete replica invocations are interleaved. + +Each helper chart is a full orthogonal 73-column map. Its first columns are +the actual occupied pending axes. Width-five helpers additionally borrow +four spectator columns; width-eight helpers borrow one. The selected local +normalization wrappers return those spectators at the end of the complete +invocation. The audit checks the wrapper frame identifiers against the +new canonical word and its hash-bound residual-adapter registry. + +The emitted witness uses 4,074 distinct actual 73-column maps, with 27,552 +cross-replica helper roles. The complete source-bound chart stream has +SHA-256 +`e360bba709f4bcb1d5bce0a2e80add570fe3f3a4d15347ef2abd7d6f433a2a40`. +The uncompressed global template has SHA-256 +`b9f4b60e56e5153c1fc89370e9ceb09f24b23e1c8ff56f2b47ef9d867aa04f2c`. + +## Actual recurrence and finite bill + +The audited paid global profile is + +| Rank | Calls | +|---:|---:| +| 1 | 158,976 | +| 2 | 52,864 | +| 3 | 15,200 | +| 4 | 20,160 | +| 5 | 4,032 | +| 6 | 4,032 | +| 7 | 352 | +| 8 | 576 | +| 48 | 1,632 | + +It equals $72H_{\rm loc}+H_{\rm rem}$. Its mass is 520,704, and the +unchanged rank deficit is + +$$ +73\cdot7168-520704=2560. +$$ + +There are no additional hosting banks. The physical stock remains +$7168+504+8+2=7682$, including the reserved helper tableau, private +centres, and coefficient workspace. + +The finite invoice recounts the freshly emitted scalar/Horner instructions, +both wrapper occurrences for all 208 entering helpers in every call, and +the actual owner stock. It charges 4,313,088 elementary wrapper factors. +The exact global prefix uses 225 bits within the retained allowance 512; +the physical row coefficient is 16,467 within the retained allowance +20,161. The previous per-vertex allowance is retained and the entire fresh +per-vertex bill is added. All finite inequalities pass with this +overcharge. + +## Verification scope and reuse + +The changed local program has fresh exact scalar/frame and phase/wrapper +receipts. Global admission performed one independent serialized +owner/controller/chart/profile audit, one finite recount, and one exact +two-engine/outer assembly with the unchanged PR493 supplier as a control. +It did not rerun a cold baseline or a repeated mutation-control batch. +The data port order, data-phase recipes, replica controller, and inherited +all-size compiler, precision/tape, and analytic-transfer contracts retain +their prior scope. + +The discovery scripts now carry an explicit `pattern_widths` list instead +of assuming widths seven, eight, and nine. The physical emitter and owner +auditor already derive every width from the selected canonical entrance +frame, so their mathematical admission rules required no change. diff --git a/research/post-center-rank4-global/proof/POST-GAUGE-RANK4-PROOF.md b/research/post-center-rank4-global/proof/POST-GAUGE-RANK4-PROOF.md new file mode 100644 index 0000000000..bd0a1b06f3 --- /dev/null +++ b/research/post-center-rank4-global/proof/POST-GAUGE-RANK4-PROOF.md @@ -0,0 +1,107 @@ +# Post-center gauges followed by rank-four response kernels + +Prepared for **icekylinx with GPT-6 Astra assistance**. This note proves the +new composition used in `code/build_rank4_portable.py`. The SAME504 scalar word is retained +from icekylinx's PR #531. The response-kernel and gauge primitives retain +DreamingOfClouds's attributed PR #484 implementation and its cited predecessors. +The new contribution is the ordered composition below: a helper may first +serve its own post-center gauge and subsequently donate to a larger-frame +kernel. The former disjoint-role restriction is unnecessary with this order. + +## Algebra and required order + +Let (B) denote the unchanged delivery suffix. Write its target map as + +$$ +y_{\rm out}=K y_{\rm in}+D h+u, +$$ + +where (h) consists of the ordinary-M helpers that have not been touched in +the source prefix or center cut; (u) collects all other inputs. The existing +target preconditioner is (K^{-1}). A gauge of helper (d), performed at the +beginning of (B), adds (-K^{-1}D_d h_d) to the targets. Its later contribution +is therefore (-D_dh_d), cancelling the ordinary response of its initial dirt. + +Suppose an ungauged pivot (p) satisfies the exact relation + +$$ +D_p=\sum_{d\in\mathcal D}q_{dp}D_d. +$$ + +**After all gauge compensations**, apply + +$$ +h_d\leftarrow h_d-q_{dp}h_p +\qquad(d\in\mathcal D), +$$ + +then execute the original (B). The pivot's target coefficient becomes + +$$ +D_p-\sum_dq_{dp}D_d=0. +$$ + +The coefficient of each donor's own initial scalar remains its original unit +coefficient: adding pivot dirt to a donor does not change the donor's initial +column. Thus its earlier gauge compensation remains exact. The gauge has not +read the newly injected pivot dirt. This is why the same helper can legally +be both a gauged helper and a kernel donor. Reversing these two operations +would generally require a different compensation formula. + +The 14 groups use disjoint registers, and pivots never serve as donors. All +relations can therefore be applied simultaneously without substitution terms. +Relations for (K^{-1}D), used by the builder, and for (D), used by the +independent audit, are equivalent because (K) is invertible. + +## Actual frames and cleanup + +The 112 helpers numbered 392 through 503 form 14 groups of eight. Each group +has a common four-dimensional frame (E), four independent donor columns, +and four pivot relations. Every member's first native frame has rank five +and contains (E). Each donor's retained gauge line (L_d) satisfies + +$$ +L_d\subset E\subset F_d^{\rm first}. +$$ + +A donor therefore serves its compensation at (L_d), climbs to (E) for the +kernel shears, and continues into its native frame. A pivot starts at (E) +and has no gauge compensation. These helpers are absent from every source +prefix and center-cut operand, so all hold exactly their initial scalars at +the insertion point. Removing the pivot gauges leaves 112 post-center gauges +and 320 target additions. Their frames are nested at each target and contained +in that target's first own-Y frame. Targets still have frame zero at the +unchanged center cut. + +All new helper shears are invertible with dyadic coefficients. Their pivots +are zero on clean source inputs, so the source scalar map is unchanged. +Sources and helpers never read targets. Reversing all source/helper operations, +including the new shears, therefore restores arbitrary source/helper inputs; +this cleanup takes place at the paid full frame. Every physical helper keeps +its original whole-call owner interval. + +## Inventory and audit scope + +The word retains 40 rank-one face-kernel pivots, 112 rank-one post-center +gauges, and 56 rank-four pivots. Its entrance-rank sum is + +$$ +40+112+4\cdot56=376, +$$ + +and its residual widths are **56 of width 5, 152 of width 8, and 296 of width +9**. There are 168 new donor shears. The coalesced local profile is + +$$ +H=\{1:2208,\;2:728,\;3:184,\;4:280,\;5:56,\;6:56,\;8:8\}, +\qquad \sum_r rH_r=6016. +$$ + +`audit_post_rank4.py` independently accumulates the raw (B) adjoint with exact +fractions; it imports neither the response builder nor the kernel solver. +`POST-GAUGE-RANK4-AUDIT.json` records all 56 exact relations, all group and +gauge frame containments, the untouched-before-(B) condition, and all remaining +target compensation chains. Its measured runtime was about 0.055 seconds. +That targeted audit proves the new local composition. Full endpoint identity, +literal Clifford phases, and physical global hosting are separate certificates; +no global exponent follows from the inventory alone. diff --git a/research/post-center-rank4-global/proof/PR510-MUTABLE-SOURCE-CARRYOVER.md b/research/post-center-rank4-global/proof/PR510-MUTABLE-SOURCE-CARRYOVER.md new file mode 100644 index 0000000000..da33eb5206 --- /dev/null +++ b/research/post-center-rank4-global/proof/PR510-MUTABLE-SOURCE-CARRYOVER.md @@ -0,0 +1,125 @@ +# PR510 as a conditional bit dependency: mutable-source carryover + +## Review conclusion + +PR510 at commit **`64edee18af02aab0c1696b677a0287dd0146381b`** may be used as an +explicitly cited conditional bit supplier with + +$$ +c=\frac{396861776523137034277}{250000000000000000000000} + =0.001587447106092548137108. +$$ + +Its nine-stage mutable-source realization is covered by the same role-independent +common-label/mutable-basis contract already retained by PR493 and PR531. The +lemma below supplies the short carryover argument that PR510's README lists +as a review point. It does **not** discharge the inherited all-size compiler, +target-label, whole-call correlated-helper hosting, compressed-window, restored-work, +common-grid/tape, precision, row, or analytic contracts. A claim that the bit +supplier is unconditional would be unsupported. + +The pinned PR510 README and source were reviewed, together with PR472's +“Shared physical labels and residual routes” proof and PR443's replication +proof. No long bit replay was run for this review. + +## Role-independent local realization lemma + +Work over an admitted odd **address** field. Stream **values** are in +$\mathbf F_2$; these two fields are distinct. For an orthogonal projector +$P$, the bit address permutation is + +$$ +D_P=\begin{pmatrix}I-P&P\\P&I-P\end{pmatrix},\qquad D_P^2=I. +$$ + +Let $\Lambda_D f=f\circ D$ denote pullback by an address bijection. Then, +for arbitrary streams $f,g$, + +$$ +\Lambda_D(f\mathbin\oplus g)=\Lambda_Df\mathbin\oplus\Lambda_Dg. +$$ + +Consequently, if both operands carry the same current address label, an XOR +into either operand commutes with that common label. This statement has no +condition on whether its destination is designated a source, helper, or target, +nor on whether the stream still equals its original input. + +For nested frames $F\subseteq G$, their orthogonal projectors satisfy +$P_GP_F=P_F$. Thus $P_G-P_F$ is a projector orthogonal to $P_F$, and + +$$ +D_{P_G-P_F}D_{P_F}=D_{P_G}. +$$ + +This is the usual paid frame climb. Induction through the literal frame climbs +and common-frame XORs therefore gives the same local realization when source +registers are written. The inherited COPY/ERASE semantics for the retained +totals are unchanged. + +In the compressed nine-stage construction, the local projector is extended +by the same exterior stage projector for every register in one invocation. +The exterior summand cancels from nested differences. The explicit port +isometries provide the entry and exit coordinate transports; their conjugacy +is the elementary identity + +$$ +(\rho\oplus\rho)D_P(\rho^{-1}\oplus\rho^{-1})=D_{\rho P\rho^{-1}}. +$$ + +After these specified transports, each common-frame gate uses one common local +chart. Different port transports are not silently identified. The geometry's +endpoint identities, including $D_I D_P=D_{I-P}$, also give the reflected +invocation. Neither induction depends on the number of stages, the replica +number, or the names of its physical source owners. + +## Application to the actual word and owners + +R480 retains PR493's mutable-source structure. Its source writes are the +577 block-D4 XOR gates in phase A. The parent `interface.py` checks that no +target feeds a source/helper, the dirt compensation is target-from-helper at +frame zero, phase B writes only targets, and the full-frame cleanup is the +literal reverse of every source/helper operation. Writing $z=(x,h)$, the +raw map consequently has the triangular form + +$$ +z'=Uz,\qquad y'=y+Jx+Kh. +$$ + +The checked compensation and scalar columns establish the intended target +map; literal $U^{-1}$ restores every source and helper. The preceding +pullback lemma realizes this argument at the recorded frames even while a +source is temporarily changed below the full frame. F2 column replay verifies +the scalar identity; the pullback identities supply the separate address +argument. One is not being substituted for the other. + +The nine-stage `global_k.py` reads both operands' actual frame IDs uniformly, +replays all local and global data/helper columns, and maps the data registers +by the explicit replica/pair/side/port formula. It makes no read-only-source +assumption in that replay. Repetition over the 32 replicas is a direct sum of +the same nine-stage identity. A restored local source may subsequently be a +bridge operand just as in the eleven-stage construction. + +Finally, PR510's `emit_k.py` changes only whole residual owners. Apply the +retained PR442 hosting contract to the **complete arbitrary-dirt local call**; +do not infer a free gate-by-gate identification of different physical families. +The hosting windows exclude every local or bridge touch of their host data +pair. A mutable source in the active pair therefore cannot also be one of that +call's idle hosts. This is the same owner/window obligation as before. + +## Provenance and limited review scope + +- [PR510 README, pinned](https://github.com/DreamingOfClouds/integer-mult-bounds/blob/64edee18af02aab0c1696b677a0287dd0146381b/research/e8-r480-nine-stage/README.md): exact bit endpoint, stage count, declared interfaces and review point. +- [PR493 README as vendored at that pin](https://github.com/DreamingOfClouds/integer-mult-bounds/blob/64edee18af02aab0c1696b677a0287dd0146381b/research/e8-bit-carrier-skeleton/README.md), and its `code/bit/independent/interface.py`: mutable-source word and structural guards. +- [PR472 proof, pinned](https://github.com/chafreaky/integer-mult-bounds/blob/259c68488b7aa8a14cf3fcae7fc499381c9bf729/research/e8-r715-whole-hosted/PROOF.md): role-independent common-label pullback and whole-call hosting scope. +- [PR443 proof, pinned](https://github.com/chafreaky/integer-mult-bounds/blob/5a514e94f156edcc5fd827b87494d962f79d0f6c/research/e8-r740-replica32/PROOF.md): direct-sum replica construction and conditional realization scope. + +The source review also covered PR510's vendored `global_k.py`, `emit_k.py`, +and the parent `code/nine/geometry.py`. This review does not re-certify the +published bit price or all hosting assignments; those remain pinned dependency +evidence to be bound by the combined package. + +Credit: DreamingOfClouds and disclosed Claude assistance for PR510 and its +nine-stage integration; eumemic for PR493; the attributed PR503 R480 change; +Zhihao Chen for PR425's mutable-basis lemma and PR386 geometry; chafreaky for +PR443/444/472 and their disclosed assistance; DaysSky for PR442 hosting. +This carryover exposition was prepared for icekylinx with GPT-6 Astra assistance. diff --git a/research/post-center-rank4-global/replay_delta.py b/research/post-center-rank4-global/replay_delta.py new file mode 100644 index 0000000000..101c713bdc --- /dev/null +++ b/research/post-center-rank4-global/replay_delta.py @@ -0,0 +1,186 @@ +"""Fast offline finite replay of the rank-four delta on the pinned PR531 package. + +Default: exact changed scalar word, actual global owner/controller audit, +fresh primitive/prefix invoice, two rational moments and strict outer bounds. +The byte-pinned completed phase, data-controller and published PR510 bit profile +are reused. No solver, predecessor cold replay, or all-edge phase pass runs. +Optional --delta-phases lowers only edges absent from the bundled post-center checkpoint. +""" +import argparse +import gzip +import hashlib +import json +import shutil +import subprocess +import sys +import time +from pathlib import Path + + +def read(path): + b = path.read_bytes() + return json.loads(gzip.decompress(b) if path.suffix == '.gz' else b) + + +def sha(path): + return hashlib.sha256(path.read_bytes()).hexdigest() + + +def without_entropy_diagnostics(word): + """Keep every instruction and exact count; omit two floating fee displays. + + Python versions can round the coalescer's floating sum differently. These + displays are not inputs to the rational moment or assembly certificates. + All frame choices, coefficients, ranks, move counts and other fields must + still match exactly. + """ + result = dict(word) + report = result['report'] = dict(word['report']) + coalescing = report['frame_coalescing'] = dict(report['frame_coalescing']) + for key in ('local_entropy_before', 'local_entropy_after'): + coalescing.pop(key) + return result + + +def main(): + if not __debug__: + raise SystemExit('Assertions must be enabled; do not use -O.') + ap = argparse.ArgumentParser(description=__doc__) + ap.add_argument('--baseline', type=Path, required=True) + ap.add_argument('--work', type=Path, required=True) + ap.add_argument('--rebuild-local', action='store_true', help='Also rebuild the scalar factory and frozen rational selection, without a search.') + ap.add_argument('--delta-phases', action='store_true', help='Also freshly lower only changed phase edges; requires NumPy.') + a = ap.parse_args() + root = Path(__file__).resolve().parent + baseline = a.baseline.resolve() + a.work = a.work.resolve() + assert baseline.is_dir(), 'Baseline package directory is required.' + assert baseline not in a.work.parents, 'Place outputs outside the baseline.' + assert not a.work.exists(), 'Use a new output directory.' + assert root not in a.work.parents, 'Place outputs outside the package.' + started = time.monotonic() + manifest = read(root/'MANIFEST.json') + for rel, digest in manifest['sha256'].items(): + assert sha(root/rel) == digest, ('input hash', rel) + pins = read(root/'BASELINE-PINS.json') + for rel, digest in pins['sha256'].items(): + assert sha(baseline/rel) == digest, ('baseline hash', rel) + expected = read(root/'EXPECTED.json') + local = root/'evidence/local' + can = read(local/'CANONICAL-WORD.json.gz') + review = read(local/'CLIFFORD-REVIEW.json') + replay = read(local/'INDEPENDENT-LOCAL-REPLAY.json') + programs = read(local/'LOCAL-PROGRAMS.json.gz') + checks = read(local/'LOCAL-CHECKS.json') + assert review['canonical_word_sha256'] == replay['canonical_word_sha256'] == sha(local/'CANONICAL-WORD.json.gz') + assert replay['local_programs_sha256'] == sha(local/'LOCAL-PROGRAMS.json.gz') + assert review['recipe_sha256'] == sha(local/'CLIFFORD-RECIPES.json') + assert review['compiler_sha256'] == sha(baseline/'vendor/clifford/clifford_exact.py') + assert review['all_child_equalities_include_global_phase'] + assert review['baseline_recipe_sha256'] == sha(root/'inputs/phase-checkpoint/CLIFFORD-RECIPES.json') + checkpoint = root/'inputs/phase-checkpoint' + post_review = read(checkpoint/'CLIFFORD-REVIEW.json') + assert review['baseline_review_sha256'] == sha(checkpoint/'CLIFFORD-REVIEW.json') + assert post_review['canonical_word_sha256'] == sha(checkpoint/'CANONICAL-WORD.json.gz') + assert post_review['recipe_sha256'] == sha(checkpoint/'CLIFFORD-RECIPES.json') + assert post_review['baseline_recipe_sha256'] == sha(baseline/'evidence/local/CLIFFORD-RECIPES.json') + assert post_review['baseline_review_sha256'] == sha(baseline/'evidence/local/CLIFFORD-REVIEW.json') + assert post_review['compiler_sha256'] == review['compiler_sha256'] + for orientation, events in programs.items(): + encoded = json.dumps(events, sort_keys=True, separators=(',',':')).encode() + assert hashlib.sha256(encoded).hexdigest() == checks[orientation]['sha256'] + adapters = read(local/'RESIDUAL-ADAPTERS.json')['recipes'] + starts = {f for f in can['start'][2*can['v']:] if f} + assert set(map(int, adapters)) == starts + for f in starts: + r = adapters[str(f)] + assert r['vectors'] == can['frames'][f] and r['rank'] == 9-len(can['frames'][f]) + + a.work.mkdir(parents=True) + steps = [] + def run(name, script, *args): + t = time.monotonic() + script_path = root/'code'/script + if not script_path.is_file(): + script_path = baseline/'code'/script + command = [sys.executable, '-B', str(script_path), *map(str,args)] + log = a.work/(name+'.log') + with log.open('w') as f: + result = subprocess.run(command, stdout=f, stderr=subprocess.STDOUT) + if result.returncode: + print(log.read_text(), file=sys.stderr) + raise SystemExit(f'{name} failed; see {log}') + steps.append(dict(name=name, seconds=time.monotonic()-t, log=log.name)) + print('PASS', name, f'{steps[-1]["seconds"]:.2f}s', flush=True) + + raw = local/'FULL-WORD.json.gz' + run('rank-four-adjoint', 'audit_post_rank4.py', + '--source', root/'inputs/RAW504-WORD.json.gz', + '--groups', root/'inputs/RANK4-BLOCKS.json', + '--gauges', root/'inputs/POST208-SELECTION.json', + '--out', a.work/'RANK4-ADJOINT.json') + if a.rebuild_local: + run('raw-504-factory', 'construct_504.py', baseline/'inputs/hamming', a.work/'raw504') + assert read(a.work/'raw504/FULL-WORD.json.gz') == read(root/'inputs/RAW504-WORD.json.gz') + # Equality above checks the regenerated mathematical word. Feed the + # frozen encoding to the next pinned step to avoid gzip OS metadata. + run('frozen-rank-four', 'build_rank4_portable.py', + '--base-word', root/'inputs/RAW504-WORD.json.gz', + '--recipe', root/'inputs/RANK4-RECIPE.json', + '--gk-dir', baseline/'vendor/gk', '--out', a.work/'rank4') + run('coalesced-delivery', 'coalesce_frames.py', + '--word', a.work/'rank4/FULL-WORD.json.gz', '--out', a.work/'coalesced') + assert (without_entropy_diagnostics(read(a.work/'coalesced/FULL-WORD.json.gz')) + == without_entropy_diagnostics(read(raw))) + raw = a.work/'coalesced/FULL-WORD.json.gz' + run('changed-scalar-and-frames', 'audit_and_transport.py', '--raw', raw, + '--routing', baseline/'evidence/local/CANONICAL-WORD.json.gz', + '--out', a.work/'scalar') + assert read(a.work/'scalar/CANONICAL-WORD.json.gz') == can + if a.delta_phases: + phase = a.work/'delta-phases' + phase.mkdir() + shutil.copyfile(local/'CANONICAL-WORD.json.gz', phase/'CANONICAL-WORD.json.gz') + run('changed-phase-edges', 'phases_delta.py', '--local', phase, + '--baseline', root/'inputs/phase-checkpoint', '--compiler', baseline/'vendor/clifford') + assert read(phase/'CLIFFORD-RECIPES.json') == read(local/'CLIFFORD-RECIPES.json') + + controller = a.work/'controller-input' + shutil.copytree(baseline/'inputs/data-base', controller) + shutil.copyfile(root/'inputs/ROUND20-PARENT-TEMPLATE.json.gz', controller/'split-centres/GLOBAL-TEMPLATE.json.gz') + shutil.copyfile(baseline/'evidence/local/CANONICAL-WORD.json.gz', controller/'split-centres/CANONICAL-WORD.json.gz') + run('new-local-controller-binding', 'prepare_supplier_base.py', + '--data-base', controller, '--local', local, '--out', a.work/'base') + run('emit-actual-owners', 'emit_supplier_hosted.py', '--base', a.work/'base', + '--owners', root/'inputs/OWNERS.json.gz', '--plan', root/'inputs/OWNER-PLAN.json', + '--out', a.work/'hosted') + audit = a.work/'audit'; audit.mkdir() + run('independent-whole-owners', 'audit_supplier_hosted.py', a.work/'base', + a.work/'hosted', audit/'ASYNC-AUDIT.json') + run('fresh-prefix-and-invoice', 'invoice_final.py', '--base', a.work/'base', + '--hosted', a.work/'hosted', '--audit', audit, '--out', audit, + '--retained-invoice', baseline/'evidence/audit/PREFIX-AND-INVOICE.json') + run('two-moments-and-outer', 'assemble_combined.py', audit, a.work/'base', + a.work/'hosted', root/'inputs/PR510-EXPECTED.json') + answer = read(audit/'EXACT-ASSEMBLY.json') + owners = read(audit/'OWNERS-AND-PROFILE.json') + invoice = read(audit/'PREFIX-AND-INVOICE.json') + assert answer['kappa'] == expected['kappa'] + assert answer['complex_lower'] == expected['complex_lower'] + assert answer['complex_template_sha256'] == expected['global_template_content_sha256'] + assert owners['paid_profile'] == expected['global_profile'] + assert invoice['global_prefix_bits'] == expected['global_prefix_bits'] + assert len(answer['strict_outer_constraints']) == 47 + result = dict(status='PASS_FAST_RANK4_DELTA_REPLAY', kappa=answer['kappa'], + kappa_decimal=answer['kappa_decimal'], complex_lower=answer['complex_lower'], + binding_component=answer['binding_component'], elapsed_seconds=time.monotonic()-started, + predecessor_cold_replay=False, unchanged_bit_operator_rebuilt=False, + changed_phase_edges_replayed=a.delta_phases, scalar_factory_rebuilt=a.rebuild_local, + steps=steps, + scope='Fresh changed-word and actual-host finite checks; byte-pinned completed phase/data/bit dependencies reused by default. All-size realization and analytic-transfer interfaces remain conditional.') + (a.work/'RESULT.json').write_text(json.dumps(result,indent=2)+'\n') + print(json.dumps({k:result[k] for k in ('status','kappa_decimal','elapsed_seconds')},sort_keys=True),flush=True) + + +if __name__ == '__main__': + main() diff --git a/research/post-center-rank4-global/sources/PR510-NOTICE.md b/research/post-center-rank4-global/sources/PR510-NOTICE.md new file mode 100644 index 0000000000..7b01935825 --- /dev/null +++ b/research/post-center-rank4-global/sources/PR510-NOTICE.md @@ -0,0 +1,32 @@ +# Notice + +Apache-2.0 (`LICENSE`). Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. + +## New in this package + +- `code/assemble9.py`: the nine-stage bit invoice of PR #463's `assemble_k.py` (verbatim; its complex half is dropped) + followed by PR #493's per-supplier outer-assembly loop (verbatim). +- `code/adapt.py`: writes the adapted `audit_parent_k.py` (2 listed edits, each anchor checked to occur exactly once). +- `data/selection9-r480.json`: the nine-stage hosting selection, nominated by PR #442's programme through the vendored + `emit_k.py --discover` and rediscovered by `verify.py`. +- `code/findings/levels.py` (frame-level register visits). `code/findings/flowlp2.py` (the junk-dimension min-flow LP) and + `code/findings/piv0.py` (pivot classes) are byte-identical copies of DreamingOfClouds research scripts (Claude Sonnet 5.5 / + Claude Opus 5.5 via Claude Code), not from a PR; sha256 in `SOURCE.json`. +- `verify.py`, `EXPECTED.json`, `MANIFEST.json`, `SOURCE.json`, `README.md`. + +## Vendored, byte-identical (`vendor/`; git blob ids and sha256 in `SOURCE.json`, recomputed by `verify.py`) + +From PR #463 (DreamingOfClouds, branch e8-carrier-rekid-r715, head cdf0c1c6540df987467988fd771340670f4136f3): +- `research/e8-r715-eleven-stage-whole/code/{global_k,emit_k,audit_parent_k,audit_hosted_k,hosting_k,bank_routes_k}.py` + (DreamingOfClouds with Claude Opus 5.5, derived from PR #443 and PR #444 by chafreaky with OpenAI Codex, PR #442 by + DaysSky with Claude, and PR #386 by Zhihao Chen with OpenAI Codex; lineage per file in `SOURCE.json`); +- `research/e8-r740-replica32/code/{config,bank_routes,tile_m,e8core}.py` and `engines/{moment,base_two_moment,outer}.py` + (PR #443, chafreaky with OpenAI Codex; the engines are PR #315's, DreamingOfClouds); +- `research/idle-axis-hosting/hosting_core.py` (PR #442, DaysSky with Claude). + +## Used from the parents, unchanged + +- PR #503 (`research/e8-r480-dead-totals`): the R480 word and its verifier, run as the parent. +- PR #493 (`research/e8-bit-carrier-skeleton`, eumemic): the checkers (`columns_k.cpp` and its headers), the residual + isometry record, the nine-stage geometry builder (through the parent run) and the cited complex receipts + (`data/complex-b.json`). Provenance and licences are listed in PR #493's `NOTICE.md`. diff --git a/research/post-center-rank4-global/sources/PR510-README.md b/research/post-center-rank4-global/sources/PR510-README.md new file mode 100644 index 0000000000..733f58cea6 --- /dev/null +++ b/research/post-center-rank4-global/sources/PR510-README.md @@ -0,0 +1,155 @@ +# Bit word R480 at nine stages: c = 0.001587447106092548137108 + +**The R480 bit word of PR #503 (PR #493's word with its nine totals on dead registers), priced in the nine-stage +whole-residual hosted pipeline instead of the eleven-stage one.** The word is unchanged. Only the stage count changes, +from eleven stages (m = 78, eight pooled replicas) to nine (m = 64, 32 replicas). The nine-stage pipeline is the +PR #443/#444 lineage with PR #442 whole-residual hosting, vendored byte-identical from PR #463. + +| quantity | value | +|---|---| +| bit c, nine stages, 32 replicas, every helper residual hosted whole, no banks (10^-24 grid) | `396861776523137034277/250000000000000000000000` = **0.001587447106092548137108** | +| PR #503, R480 at eleven stages (rebuilt and checked by the parent run) | 0.001574753352953808650916 (this package: **+0.806%**) | +| PR #493, R489 at eleven stages | 0.001565442026981656908596 (this package: **+1.4057%**) | +| κ with #484's complex b (draft; Lemmas A and G), complex-bound | `662515748707749/500000000000000000` = 0.001325031497415498 (unchanged) | +| κ with #471's / #458's complex b, complex-bound | 0.001303530097714685 / 0.001295523322678044 (unchanged) | + +The bit side does not bind, so κ does not move with any of the three cited complex suppliers. The gain is bit-side +headroom. + +## Why nine stages win for R480 + +The bit price is the root c of Σ_t n_t·t·(m/t)^c = m·W. Each stage adds its local invocations, and each odd stage adds +an idle advance. On #472's eleven-stage schedule, the rank-7 idle children of the even stages (7,680 per run) cannot +host any width-8 residual, so they are paid in full. With R480's small helper count, nine stages host every residual +whole: 138,240 = 9 × 32 × 480, with 0 banks and maximum child 8. The smaller window m = 64 then prices lower than +m = 78. The same chain gives R489 at nine stages 0.001576648413160438658485, +0.716% over #493 (not shipped). On +R715/R740 the comparison went the other way (s = 11 was best), which fits the smaller R here. + +## What runs (`verify.py`) + +0. This package's `MANIFEST.json`, and the pinned manifests of #503 and #493. `SOURCE.json`: every vendored file's + git blob id equals PR #463's file at head `cdf0c1c` (recomputed). Seven of them (`bank_routes.py`, `tile_m.py`, + `e8core.py`, `hosting_core.py` and the three moment engines) are also byte-identical to #493's vendored copies. +P. Parent: #503's `verify.py` (`--light` in light mode; full mode also runs #493's `verify.sh`). It rebuilds the + R480 word from #493's plan and runs #493's whole checker chain on it at eleven stages: + - relaxed #370 checker and `interface.py`, with mutants; + - legality and the five- and eleven-stage formal columns; + - Gram; + - hosted audit and assembly. + This package reuses its records and its #386 nine-stage geometry (built by #493's `code/nine/geometry.py`). +1. Nine-stage formal columns: #381's `columns_k` with KPAIRS = 4 and RHELP = 480. 1,440 columns over F2 through 9 + invocations, 2,160 bridge additions, 18/18 omitted-bridge controls rejected, prefix payload 102 bits < 104. +2. Nine-stage template (`global_k.py`, 32 replicas, 288 local invocations; local and unbanked global F2 columns + replayed; omitted bridge shears rejected) and the parent audit (`audit_parent_k.py`, adapted, see Scope). +3. Hosting: #442's programme through `emit_k.py --discover` rediscovers `data/selection9-r480.json` exactly. All + 138,240 helper residuals are hosted whole on idle data coordinates, with 0 banks. Independent hosted audit + (`audit_hosted_k.py`): PASS, with its template mutations rejected. +4. `code/assemble9.py`: the nine-stage bit invoice of #463's `assemble_k.py`, verbatim, and both #315 moment engines + with the 10^-16 bad-branch allowance (next grid point rejected). Then #493's per-supplier outer loop, verbatim: + six bootstrap levels, 47 strict inequalities, next_grid / zero_eta / zero_beta / unit_beta controls. It is run with + #484, #471 and #458 (cited complex b, `data/complex-b.json` of #493). +5. Findings (a) and (b) below, on R480 and R489. +6. Every number against `EXPECTED.json`. + +```sh +BOOST_INCLUDE=/path/to/boost python research/e8-r480-nine-stage/verify.py /absolute/new/output --light # 10 to 15 minutes +BOOST_INCLUDE=/path/to/boost python research/e8-r480-nine-stage/verify.py /absolute/new/output # + #503 full (+ #493 verify.sh) +``` + +Finite invoice (nine-stage, as in #463): prefix 193 bits (charged 256), two-level coefficient 425 bits (charged 512), +row coefficient 18,355 < 20,161, halving depth 2. + +## Findings on the R489 family (knowledge) + +Checked by `verify.py` (step 5, on R480 and on #493's R489): + +- **(a) An LP floor of 480 for R480's skeleton.** `code/findings/flowlp2.py` solves a min-flow LP on the frame lattice of + one 4-frame. Registers are unit flows, sources are free at their lines, helpers are born at frame zero, and the + dual is a max-weight antichain. The lattice has the 4 lines, the 6 cells and two transverse quads per cell. The + node lower bounds come from the junk-dimension lemma: two dirty branches of a cell span only one vector that + carries the cell sum. So a cross cell needs ≥ 3 registers, and a matching cell, whose two pure sources bring no + junk dimension, needs ≥ 4. The optimum is **16 helpers per 4-frame, 480 over the 30 frames**. Without these bounds + the optimum is 8. The bound rests on three hypotheses: + - (H1) 3 branches per source (the spherical 4-design carrier bound); + - (H2) every cell sum feeds 2 transverse quads; + - (H3) the matching-cell sources feed the block frame. + + `code/findings/levels.py` reads R480's own frame visits and shows the word attains every node bound. Its 120 cross + cells hold 3 helpers each, and its 60 matching cells hold 2 helpers and 2 sources each. Each of the 480 helpers + stands at exactly one cell and at exactly one D6 frame, so **levels 2 and 6 are tight antichains**. Levels 1, 4 + and 7 carry 240, 360 and 240 helpers. A word with fewer helpers must break H1, H2 or H3. `verify.py` checks the LP optimum given these node bounds, and the tight levels on R480's own data. The junk-dimension lemma and the flow model itself (that every word of the family is such a flow) are argued here, not machine-checked. +- **(b) Kernel pivots are exactly 0.** `code/findings/piv0.py` checks R480 and R489. Each of the 120 root-line + entrance classes (the helpers whose first frame contains the line) has linearly independent delivery vectors, + i.e. nullity 0. Nullity is monotone, and coordinate and higher-rank entrance classes are sub-classes. So the + maximum pivot count of #443's kernel is 0 for coordinate and root-line entrances of any rank. Every residual stays + width 8. That is why the eleven-stage schedule's rank-7 idle children stay unhostable, and why nine stages win. + +Exploration outside the package, not run by `verify.py`: + +- **(c) The helper ledger is at its floors.** There are 240 carriers, at the 4-design bound (two per source). The + other 240 registers are the junk-dimension count per cell: one extra per cross cell, two per matching cell. Every + shared symbol is held by exactly as many registers as the Dilworth width χ of its read frames. So the + copy-removal methods built on the #370-lattice words (read-then-climb, XOR fusion, Bcw inlining with ILP chains) + have nothing to act on here. +- **(d) Idle fusion has no legal glue.** Fusing a pair's successive idle advances would put the rank-7 children to + use, but it needs glue between the pair's two members, and none is legal: + - An X→Y bridge add mixes frames at rank 1 in #445's geometry (X wires contain the line q, Y wires do not). + - With X→X and Y→Y shears only, a Gröbner-basis test finds no glue for K = 2..5 (the basis is [1], so there is no + solution even over ℂ). + + A check that compares only pair levels misses the X/Y frame difference. #493's own audit hard-codes the twin + X→X/Y→Y form, so it is not affected. + +## Scope (stated plainly) + +- **(a) Vendored, not cited.** The nine-stage pipeline (`global_k`, `audit_parent_k`, `emit_k`, `audit_hosted_k`, + `hosting_k`, `bank_routes_k`, plus #443's `bank_routes`, `tile_m`, `e8core`, `config`, the #315 engines and #442's + `hosting_core`) is not on the hub's main branch. It is in open PRs #463 and #450 (and their parents #443, #444, #442). + It is vendored byte-identical from #463 (DreamingOfClouds, branch e8-carrier-rekid-r715, head + `cdf0c1c6540df987467988fd771340670f4136f3`), with path, git blob id, sha256 and lineage per file in `SOURCE.json`. +- **(b) Not #472's pooled pipeline.** The nine-stage emitter is the per-replica one (#444/#442 lineage), with 32 + replicas in 4 groups of 8. It is not #472's eleven-stage emitter with eight pooled replicas, which #493 and #503 + use. Its finite prefix is #443's per-stage product bound 2^nb·cf^(K+1)·cb^K (193 bits). It is not #472's + chronological physical-family bound (5,479 bits for R480 at eleven stages). The prefix enters only the finite + cutoffs, not c. +- **(c) One adaptation of a vendored audit.** `code/adapt.py` makes two listed edits to `audit_parent_k.py`. The first + points the vendored path at the vendored directory. The second concerns the template control "omit a residual + route factor". That control mutates the first residual isometry that has a route factor (a non-empty + `gaussian_reduction`). In R480 every helper enters at frame zero, so the only isometry is the identity, which has + no route factor. The selector therefore raises StopIteration, and the audit could not start. The control is + vacuous in that case (there is no factor to omit), so it is skipped exactly when no isometry has a route factor. + Every other control runs (17 rejected), and `verify.py` asserts that the skipped control is absent. +- **(d) Review point: the mutable-source interface at nine stages.** R480, like #493's R489, writes source registers + below the full frame (577 gates at block D4 frames), under #425's mutable-basis interface. #493 justifies the + realisation by #472's PROOF ("Shared physical labels": the pullback of D_F on F2-valued streams does not depend on + whether a register is called a source, helper or target). The nine-stage pipeline's address realisation is + #443/#444's (replica groups) with #442's hosting, and that proof text does not discuss source registers as + destinations. What carries over unchanged: + - #425's four word-level hypotheses. They are properties of the word, not of the stage count, and #493's + `interface.py` checks them on R480 in the parent run: no target feeds a source or helper; D only at frame zero; + C = the literal U⁻¹ at the full frame; B writes only targets. + - The local invocation itself: the same word, with the same #386 frame operators D_F per call. #445's eleven-stage + geometry extends this, and the nine-stage one is its parent. + - The exact F2 replay. `global_k.py` replays every local and unbanked global column of the nine-stage template, + including the data families that the source ports occupy, so sources written and restored inside each call are + checked at the composition level, as are the nine-stage formal columns. + + What is not separately re-proved here is #493's realisation sentence for #443's address map. We state it as the + same argument, because the pullback is a statement about one local invocation on its own owners, and the replica + grouping only chooses which owners. A reviewer should treat it as a listed conditional interface, as #493 does at + eleven stages. +- Everything else #493 and #503 are conditional on carries over unchanged: the all-size bit/Gaussian compiler, + target-label realisation, whole-call correlated-helper hosting (#442), compressed windows, restored work, common + grid and tape, precision, row and analytic contracts. Complex savings are cited from their PRs' receipts. The κ + with #484 rests on #484's Lemmas A and G. No unconditional multiplication theorem, Lean proof or κ = 1 result is + claimed. + +## Credits + +eumemic (#493: the R489 carrier-skeleton word, its generator and checks). PR #503 (R480: totals on dead registers). +The nine-stage pipeline: chafreaky (#443 replica kernel and global template, #444 replicated idle hosting, with OpenAI +Codex), DaysSky (#442 idle-axis whole-residual hosting), Zhihao Chen (#386 nine-stage geometry), DreamingOfClouds +(#315 moment engines; #450/#463 eleven-stage adaptations of the pipeline, vendored here), Dylan Crow (#370 checkers); +DaysSky also wrote #381's `columns_k`. Details in `NOTICE.md` and `SOURCE.json`. + +Prepared by DreamingOfClouds with Claude Opus 5.5 (Anthropic), via Claude Code. Apache-2.0 (`LICENSE`). diff --git a/research/post-center-rank4-global/sources/PR510-VENDOR-SOURCE.json b/research/post-center-rank4-global/sources/PR510-VENDOR-SOURCE.json new file mode 100644 index 0000000000..dc56cfe458 --- /dev/null +++ b/research/post-center-rank4-global/sources/PR510-VENDOR-SOURCE.json @@ -0,0 +1,107 @@ +{ + "pull_request": 463, + "repository": "DreamingOfClouds/integer-mult-bounds", + "branch": "e8-carrier-rekid-r715", + "head": "cdf0c1c6540df987467988fd771340670f4136f3", + "note": "Every vendored file is byte-identical to the listed path at the listed head (git blob ids); verify.py recomputes the blob ids. 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PR #386 and #436 lineage)" + }, + "vendor/e8-r715-eleven-stage-whole/code/hosting_k.py": { + "upstream_path": "research/e8-r715-eleven-stage-whole/code/hosting_k.py", + "git_blob": "02fea8320b676e14f8ffa242c3ddfa85fa829e31", + "sha256": "081c3b95b18d900d97ce82af64fb428f085b6adc6d8ca93ea920797dad7eb81e", + "lineage": "PR #442 hosting_core (DaysSky) wrapper, as revised in PR #463" + }, + "vendor/e8-r740-replica32/code/bank_routes.py": { + "upstream_path": "research/e8-r740-replica32/code/bank_routes.py", + "git_blob": "9e43a876664a26899762f3b8e9a582e684a3650a", + "sha256": "7c6997c455bd55acca3a1603797c34e7733d557c27a7694a1429ff15773a505d", + "lineage": "PR #443 (chafreaky / OpenAI Codex), research/e8-r740-replica32, vendored unchanged by PR #463" + }, + "vendor/e8-r740-replica32/code/config.py": { + "upstream_path": "research/e8-r740-replica32/code/config.py", + "git_blob": "c6824d9c4ea37d58c0d24cb7a3021c4dfcc6f3bb", + "sha256": "283d7fad45155ee91e704d63ec947cf4a60aeff5cc43510bc0e835f7da7d8767", + "lineage": "PR #443 (chafreaky / OpenAI Codex), research/e8-r740-replica32, vendored unchanged by PR #463" + }, + "vendor/e8-r740-replica32/code/e8core.py": { + "upstream_path": "research/e8-r740-replica32/code/e8core.py", + "git_blob": "78983b368715e89fe8524a6dd2c13585d2b5394e", + "sha256": "1cb286196c1530d06f50f0997febc5993b388f33464e295611b920ba30a24eeb", + "lineage": "PR #443 (chafreaky / OpenAI Codex), research/e8-r740-replica32, vendored unchanged by PR #463" + }, + "vendor/e8-r740-replica32/code/engines/base_two_moment.py": { + "upstream_path": "research/e8-r740-replica32/code/engines/base_two_moment.py", + "git_blob": "14a90fa0e788217856f070382c9e61bd7c603c61", + "sha256": "aee70c242a2f1d225528fabe2002e1564d1dc884797c07d28a831c7878ee9098", + "lineage": "PR #315 moment engines (DreamingOfClouds), as vendored by PR #443 and PR #463" + }, + "vendor/e8-r740-replica32/code/engines/moment.py": { + "upstream_path": "research/e8-r740-replica32/code/engines/moment.py", + "git_blob": "7d697cb45203fe72d97037403d6da41f71f3b7fd", + "sha256": "81cbc864e106418fc7854322746f72180cb8110ff39f74450a3b8d55a82c1482", + "lineage": "PR #315 moment engines (DreamingOfClouds), as vendored by PR #443 and PR #463" + }, + "vendor/e8-r740-replica32/code/engines/outer.py": { + "upstream_path": "research/e8-r740-replica32/code/engines/outer.py", + "git_blob": "43007488ad2c43187c77cc6798beff8b1cd76ad2", + "sha256": "c1ebb52163a7219504c728a5c2b098bf1e50bf20148a2879c5a74c3cadc7c03c", + "lineage": "PR #315 moment engines (DreamingOfClouds), as vendored by PR #443 and PR #463" + }, + "vendor/e8-r740-replica32/code/tile_m.py": { + "upstream_path": "research/e8-r740-replica32/code/tile_m.py", + "git_blob": "cd5fd9b5399f5e7afe5d2a95bd3504bd543c0d60", + "sha256": "d6ae4a556472d403773cd2117c992bfc10e1187112da1b3893f3fae628a131dd", + "lineage": "PR #443 (chafreaky / OpenAI Codex), research/e8-r740-replica32, vendored unchanged by PR #463" + }, + "vendor/idle-axis-hosting/hosting_core.py": { + "upstream_path": "research/idle-axis-hosting/hosting_core.py", + "git_blob": "68b536daa9e6546c0aa046934bf840aaa3c3fde3", + "sha256": "d8b90cd5d152df3c7c351230863d9e61816ad5e1f21d69bea1a86a5daad559a3", + "lineage": "PR #442 (DaysSky / Claude), research/idle-axis-hosting, vendored unchanged by PR #463" + } + }, + "findings": { + "code/findings/flowlp2.py": { + "origin": "DreamingOfClouds research notes (frame-lattice entropy/LP scout, Claude Sonnet 5.5 via Claude Code), not from a PR; byte-identical to the research copy", + "sha256": "2e778aa9adaee190f9b72a6dac45b5fdeac04110baa00cdc1b0ff49e2ae84554" + }, + "code/findings/piv0.py": { + "origin": "DreamingOfClouds research notes (R489 toolbox pass, Claude Opus 5.5 via Claude Code), not from a PR; byte-identical to the research copy", + "sha256": "b6dea0162404d7a54d1e20c4b14720f00239eb4512187e09e6eb8e075887a00e" + }, + "code/findings/levels.py": { + "origin": "new in this package", + "sha256": "366a56e07b61df63b46eb50dba4843e9416a63eb993106f1d139742d575767db" + } + } +} diff --git a/research/post-center-rank4-global/sources/PR531-NOTICE.md b/research/post-center-rank4-global/sources/PR531-NOTICE.md new file mode 100644 index 0000000000..d57600aefa --- /dev/null +++ b/research/post-center-rank4-global/sources/PR531-NOTICE.md @@ -0,0 +1,25 @@ +# Attribution and derivative scope + +Prepared for icekylinx with OpenAI GPT-6 Astra assistance; Apache-2.0. +Copyright 2026 icekylinx. Local review and submission packaging used OpenAI Codex. +The new work is the same-partition 504-helper scalar architecture, its frozen +entrance selection, delivery-frame coalescing, literal global allocation, +targeted certificate reuse and complete new finite recount. + +The included Hamming inputs, Gaussian-dyadic Clifford compiler, primitive +scalar routines, rational moment engines and outer assembly descend from the +authors recorded in `SOURCES.json` and `inputs/PR523-ANCESTRY.json`. Original +source notices are retained. In particular, DreamingOfClouds' gauge/kernel +and paid-wrapper files retain their notice crediting Claude Opus 5.5 assistance; +those files are not presented as newly authored work. + +Dugongue's PR522 rank-sector coordinate-total principle was inspected and is +credited as a related idea. This increment does not import its ranksector99 +patch or add its reported gain arithmetically. Higherbeing's PR520 face-packet +geometry helped direct the structural investigation; its code is not copied. +The latest numerical comparison, Rohan Arun's PR527, is a comparison source. + +The reproduction wrapper deliberately separates fresh changed-word/global +checks from reuse of the byte-pinned completed baseline and unchanged bit +operator. Old finite receipts never stand in for the changed local word. + diff --git a/research/post-center-rank4-global/sources/PR531-SOURCES.json b/research/post-center-rank4-global/sources/PR531-SOURCES.json new file mode 100644 index 0000000000..cd215d42fc --- /dev/null +++ b/research/post-center-rank4-global/sources/PR531-SOURCES.json @@ -0,0 +1,64 @@ +{ + "repository": "https://github.com/CrocSwap/integer-mult-bounds", + "prepared_for": "icekylinx", + "assistance": "OpenAI GPT-6 Astra", + "license": "Apache-2.0", + "baseline": { + "pr": 523, + "author": "icekylinx", + "head": "a900f98be8ff2c09d3292b5112d4731dbd0c8438", + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/523", + "role": "112 ordered ports, fixed data controller, completed phase cache and finite baseline allowances." + }, + "retained": [ + { + "pr": 514, + "author": "Dugongue", + "head": "246bfacd4cb4072836ae3147099f548bb728229f", + "role": "Pinned Hamming modules and scalar constructor ancestry; derived from PR507 and PR425/433." + }, + { + "pr": 493, + "author": "eumemic", + "head": "c3a9a436b84fe44fdc223a5784d84736d1c2d3c7", + "role": "Unchanged bit supplier; published histogram repriced, operator not reconstructed." + }, + { + "pr": 484, + "author": "DreamingOfClouds", + "head": "035845ce95f31d0a2dcfb42b8c8e13411271fa5f", + "role": "Attributed shared-donor kernel, entrance-gauge, paid-wrapper and hosting lineage; original Claude Opus assistance notices retained." + } + ], + "related_ideas": [ + { + "pr": 522, + "author": "Dugongue", + "head": "e9f8075b5212e9bddf361097dbb022dcd052e0bb", + "role": "Rank-sector coordinate-total principle inspected and credited. Its ranksector99 patch is not imported; this word completes eight independent retired carriers before the center cut." + }, + { + "pr": 520, + "author": "higherbeing", + "head": "6077fa76950facbce11ec2f04dfbc93493114a44", + "role": "Face-packet delivery geometry and open allocation framing informed the bottleneck investigation; no PR520 implementation is copied." + } + ], + "comparison": { + "pr": 527, + "author": "rohanarun", + "head": "2080903b9e6bd01e3f64cc4c7c62ea1b3af0aa6a", + "kappa": "0.001467289440740487", + "role": "Latest comparable numerical PR in the recorded snapshot; comparison only." + }, + "new_contribution": "Same-partition direct output loading and two-half face delivery with 504 helpers; 72 compatible gauges and 80 exact kernel pivots; body frame coalescing; literal pure-pattern whole-owner allocation; fresh finite global invoice and exact kappa.", + "ancestry_file": "inputs/PR523-ANCESTRY.json", + "comparison_at_submission": { + "pr": 529, + "author": "chafreaky", + "head": "05fc7e332651a41860add3c217cd6f6e88758003", + "kappa": "0.001469603966017302", + "role": "Comparison only; no code or proof imported." + } +} +