From b2a47e14f7189969a8a8d0e5f0a44be69898f514 Mon Sep 17 00:00:00 2001 From: woklerx Date: Tue, 13 Oct 2026 09:07:05 -0700 Subject: [PATCH] Research: reconcile PR946 frozen pins with exact restoration replay --- research/pr946-pin-migration/CLAIM.json | 24 + research/pr946-pin-migration/EXPECTED.json | 10675 ++++++++++++++++ research/pr946-pin-migration/NOTICE.md | 29 + research/pr946-pin-migration/OVERLAP.json | 267 + research/pr946-pin-migration/README.md | 180 + research/pr946-pin-migration/REPLAY.json | 232 + research/pr946-pin-migration/check.py | 39 + .../certificates/dyadic-central-factor.json | 111 + .../pr946/scripts/audit_complex_centers.py | 58 + .../inputs/pr946/scripts/certify.py | 283 + .../pr946/scripts/complex_compression.py | 347 + .../inputs/pr946/scripts/paired_network.py | 91 + .../inputs/pr946/scripts/prepare_layers.py | 163 + .../inputs/pr946/scripts/search_network.py | 105 + .../pr946/scripts/shared_point_network.py | 66 + research/pr946-pin-migration/replay.py | 256 + .../pr946-pin-migration/test_inventory.py | 51 + research/pr946-pin-migration/verify.py | 216 + 18 files changed, 13193 insertions(+) create mode 100644 research/pr946-pin-migration/CLAIM.json create mode 100644 research/pr946-pin-migration/EXPECTED.json create mode 100644 research/pr946-pin-migration/NOTICE.md create mode 100644 research/pr946-pin-migration/OVERLAP.json create mode 100644 research/pr946-pin-migration/README.md create mode 100644 research/pr946-pin-migration/REPLAY.json create mode 100644 research/pr946-pin-migration/check.py create mode 100644 research/pr946-pin-migration/inputs/pr946/certificates/dyadic-central-factor.json create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/audit_complex_centers.py create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/certify.py create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/complex_compression.py create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/paired_network.py create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/prepare_layers.py create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/search_network.py create mode 100644 research/pr946-pin-migration/inputs/pr946/scripts/shared_point_network.py create mode 100644 research/pr946-pin-migration/replay.py create mode 100644 research/pr946-pin-migration/test_inventory.py create mode 100644 research/pr946-pin-migration/verify.py diff --git a/research/pr946-pin-migration/CLAIM.json b/research/pr946-pin-migration/CLAIM.json new file mode 100644 index 0000000000..8b1dc30748 --- /dev/null +++ b/research/pr946-pin-migration/CLAIM.json @@ -0,0 +1,24 @@ +{ + "status": "completed", + "track": "95-99 research consolidation", + "assignment_seed": 95, + "randomness": "OS System.Security.Cryptography.RandomNumberGenerator, rejection sampling one byte below 200, modulo 100", + "base_commit": "407d52ff15b2217b6e22bce44728b4c3907b6515", + "proposal_head": "b6e22dbf548d72f18b722ccb6c2ea8e3d9df6ac1", + "object": "PR946 encoding patch: exact frozen-source pin conflicts and a source-preserving migration plan, with PR950 as executable witness", + "method": "Inventory the complete PR diff and literal SHA256 references at the base; distinguish changed bytes, matching old/proposed digests and other recorded digests without assuming runtime consumption; exercise unchanged PR950 admission against original, proposed and restored source closures.", + "deliverable": "Offline reproducible conflict certificate, bounded migration guidance, source pins and negative controls; no selected frontier or upstream changes", + "expected_finish_utc": "2026-10-13T16:35:00Z", + "coordination": "Curiosity Bot checked the open issues page and both open issue records; no pinned sprint coordination issue was present. Claim recorded locally.", + "candidate_tasks": [ + "Reconcile historical PR210/279 source changes: already covered by PR930 and PR828", + "Reconcile PR236 source and formalization evidence: adjacent PR893 just integrated; fresh kernel build exceeds this bounded scope", + "Reconcile PR946 package-local frozen-pin migration: selected (95 modulo 3 = 2), explicit unresolved maintainer obligation" + ], + "scope_limit": "This is provenance and replay-admission evidence, not semantic equivalence of every PR946 edit or a proof of the multiplication theorem.", + "attribution": "Prepared for woklerx with substantial OpenAI Codex AI assistance. Credits Aaron Wang/navinor (PR946), Ross Richardson (PR950), and the maintainer batch952 review for the original eight-input conflict finding.", + "result": "10707 JSON files parsed with no failures; 561 old-byte references across 99 files and 148 proposed paths. All eight PR950 inputs fail individually. Complete historical restoration passes twice with unchanged 6760000-coefficient receipt. Six adversarial inventory tests pass normally and under -O. Selected record check passes.", + "reproduce": "python -I -B research/pr946-pin-migration/check.py", + "result_link": "https://github.com/woklerx/integer-mult-bounds/tree/research/seed95-pin-migration/research/pr946-pin-migration", + "final_overlap": "See OVERLAP.json: bounded targeted Curiosity Bot queries plus latest open PRs through #986. PR946 head unchanged; upstream refreshed to 8bddbee377e2f3ce1f1247196c4b290d55767d20 with no PR950 original-input/adapter drift and unchanged selected kappa. No overlapping source-pin migration contribution found in that coverage." +} diff --git a/research/pr946-pin-migration/EXPECTED.json b/research/pr946-pin-migration/EXPECTED.json new file mode 100644 index 0000000000..2128059f10 --- /dev/null +++ b/research/pr946-pin-migration/EXPECTED.json @@ -0,0 +1,10675 @@ +{ + "base_commit": "407d52ff15b2217b6e22bce44728b4c3907b6515", + "base_tree": "4ad53884dc76e32600c6b7aa204f0131254ece29", + "changes": [ + { + "base_blob": "66f00cfb30b85b54e834a900e92fb3f098ea8179", + "base_sha256": "f0e33b272b8d08524cb9c41c60d4603e3e19b573170a6d94aa081cc70d42337f", + "path": "Makefile", + "proposed_sha256": "b7204f71ff0d70f8beb411c1974deaec8d81f0582b5a139edc912763bd85be1e", + "state": "different_bytes" + }, + { + "base_blob": "47e598ab3dbc5f879d4b2c123c3464497f97e9e3", + "base_sha256": "f72787ebf4a991e32705c7fb7ef7ad559a9964b27c0f91d1b5a034c05027cfb0", + "path": "certificates/affine-vector-screens.json", + "proposed_sha256": 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References are not proven runtime dependencies.", + "summary": { + "change_states": { + "added": 10, + "different_bytes": 155 + }, + "old_reference_consumers": 99, + "old_reference_locations": { + "archived_or_vendor": 8, + "certificate": 82, + "research_or_other": 471 + }, + "old_reference_targets": 148, + "proposed_files": 165, + "reference_classes": { + "old_bytes_reference": 561, + "other_digest": 42, + "proposed_bytes_reference": 330 + } + } +} diff --git a/research/pr946-pin-migration/NOTICE.md b/research/pr946-pin-migration/NOTICE.md new file mode 100644 index 0000000000..38fc92acf3 --- /dev/null +++ b/research/pr946-pin-migration/NOTICE.md @@ -0,0 +1,29 @@ +# Attribution and license + +Prepared for **woklerx** with substantial **OpenAI Codex AI assistance**, +including implementation, experiment execution and a separate agent review. +This is not independent human peer review. New work is Apache-2.0 under the +repository license. + +**Aaron Wang / navinor, PR946**, identified the locale/newline reproducibility +problem and authored the proposed encoding changes. Files under `inputs/pr946/` +are eight byte-identical proposed inputs from commit +`b6e22dbf548d72f18b722ccb6c2ea8e3d9df6ac1`; their original comments and notices +are preserved. These are test inputs, not adopted production code. + +**Ross Richardson, PR950**, supplied the unchanged exact packed verifier and +its complete historical source manifest. **Douglas R. Colkitt** authored the +historical central-factor implementation and repository sources it checks. +The existing package notices retain further predecessor credit. + +The **batch952 maintainer review** first identified the eight-input PR950 +conflict and deferred PR946. This contribution credits that finding and adds +a reproducible wider inventory, isolated per-input rejection controls and a +complete source-preserving restoration replay. The batch970 review and +**woklerx's PR970** provide an additional accepted package with five matching +source references; no fresh PR970 mathematical replay is claimed here. + +The exact-byte/payload distinction follows the repository's reproducibility +policy and **Maxime Fleury's gzip-container reproducibility audit**, following +**Antoine Olivier's** replay findings. Here the conflicting inputs are plain +files: no gzip normalization or digest relaxation is used. diff --git a/research/pr946-pin-migration/OVERLAP.json b/research/pr946-pin-migration/OVERLAP.json new file mode 100644 index 0000000000..83777acea6 --- /dev/null +++ b/research/pr946-pin-migration/OVERLAP.json @@ -0,0 +1,267 @@ +{ + "checked_date_utc": "2026-10-13", + "provider": "Curiosity Bot github/issues", + "coverage": "Targeted searches, plus latest 15 open PRs through #986; not an exhaustive inventory of all open PRs.", + "results": [ + { + "query": "repo:CrocSwap/integer-mult-bounds is:pr 946 sort:updated-desc", + "limit": 15, + "result": [ + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/947", + "title": "Scoped negative result: exact constant-row center shear optimum (no new kappa)", + "description": "PR closed, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/978", + "title": "Finite R420 construction: restored helper matching and shared target donors save 8,412 XORs (no new kappa)", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/970", + "title": "Research consolidation: bind and replay historical bit-compression evidence (no new kappa)", + "description": "PR closed, 1 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/946", + "title": "Tooling: cross-platform byte/codec reproducibility of the make verify surface (no new kappa)", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/823", + "title": "Research construction: shorten historical R480 quad 1 by 12 XORs (no new kappa)", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/792", + "title": "Finite circuit construction: interleaved R439 mini-nodes save 32 XORs (no new kappa)", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/787", + "title": "Research: compose complex coefficient lowering and cleanup sharing", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/377", + "title": "κ = 9.98243154231047e-4: nine-stage complex E8 (≈2^-9.9683; complex +14.036%, bit side pending)", + "description": "PR open, 0 comments", + "date": "2026-10-11", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/384", + "title": "Conditional κ = 9.98634656132003·10⁻⁴: #377's nine-stage E8 complex component with our #378 re-timed E8 unit, paired with our #382 bit word (+0.039 % over #382)", + "description": "PR open, 0 comments", + "date": "2026-10-11", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/57", + "title": "Joint frame compiler: conditional κ = 4.669442391e-5", + "description": "PR closed, 0 comments", + "date": "2026-10-08", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/56", + "title": "Positive frames and paid clones on skip-prefix graphs for a conditional κ = 4.548671376e-5 bound", + "description": "PR closed, 0 comments", + "date": "2026-10-08", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/54", + "title": "Paid clones on skip-prefix strips: conditional κ = 4.529040672e-5", + "description": "PR closed, 0 comments", + "date": "2026-10-08", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/55", + "title": "Dual suffix-skip strips: conditional κ = 4541011/10^11 > 2^-15", + "description": "PR closed, 0 comments", + "date": "2026-10-08", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/53", + "title": "Skip-prefix strips: conditional κ = 4498144/10^11 > 2^-15", + "description": "PR closed, 0 comments", + "date": "2026-10-08", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/62", + "title": "Interval strips and core-aware pair assembly: conditional κ = 4986133/10^11 (5101691/10^11 stacked with #57)", + "description": "PR closed, 0 comments", + "date": "2026-10-08", + "kind": "PR", + "source": "github" + } + ] + }, + { + "query": "repo:CrocSwap/integer-mult-bounds is:pr migration in:title", + "limit": 15, + "result": [] + }, + { + "query": "repo:CrocSwap/integer-mult-bounds is:pr pin in:title sort:updated-desc", + "limit": 15, + "result": [ + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/818", + "title": "Tooling: accelerate cold R420 RREF with pinned PR367 arithmetic", + "description": "PR closed, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/853", + "title": "Tooling: 1.54-1.71x faster #741 complex replay by running independent pinned stages concurrently", + "description": "PR closed, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/842", + "title": "[Lean] Verify pinned PR596 native moment, bootstrap and outer closure", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/707", + "title": "Tooling: exact Gram prefix reuse with pinned equivalence and timing evidence", + "description": "PR closed, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/821", + "title": "Research audit: 286-to-160-bit prefix estimate for pinned #626 (no new kappa)", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/704", + "title": "Tooling: bind review-ledger metadata to pinned family decisions", + "description": "PR closed, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/672", + "title": "Tooling: exact integer exponential intervals with pinned replay evidence", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/667", + "title": "[Tooling] Exact integer-Horner logarithm intervals with pinned equivalence tests", + "description": "PR open, 0 comments", + "date": "2026-10-13", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/605", + "title": "[Lean] Prove the pinned PR588 native Real moment bound", + "description": "PR open, 0 comments", + "date": "2026-10-12", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/190", + "title": "Stop pinning Makefile, README.md and NOTICE in the joint-dual manifest (no new κ)", + "description": "PR closed, 0 comments", + "date": "2026-10-12", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/397", + "title": "Formalize the indexed B_K scalar bridge and bind the pinned B3 word", + "description": "PR open, 0 comments", + "date": "2026-10-11", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/452", + "title": "Speed up pinned E8 replay with shared prefixes and exact admission", + "description": "PR open, 0 comments", + "date": "2026-10-11", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/367", + "title": "Speed up exact frame algebra with pinned replay evidence", + "description": "PR open, 0 comments", + "date": "2026-10-11", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/302", + "title": "Verify shared-donor kernel improvements on pinned weighted and reordered words", + "description": "PR open, 0 comments", + "date": "2026-10-10", + "kind": "PR", + "source": "github" + }, + { + "url": "https://github.com/CrocSwap/integer-mult-bounds/pull/318", + "title": "Re-pin the root Makefile/README in research/joint-dual/SOURCE.json (fixes the failing 'Verify research artifacts' job on main and all PRs)", + "description": "PR open, 1 comments", + "date": "2026-10-10", + "kind": "PR", + "source": "github" + } + ] + } + ], + "interpretation": "PR946 is the credited proposal, PR950 the credited verifier, and accepted PR970 an additional literal-pin consumer. No source-pin migration contribution appeared in these bounded searches. PR983 concerns selection metadata and is distinct.", + "refreshed_main": "8bddbee377e2f3ce1f1247196c4b290d55767d20", + "refreshed_pr946_head": "b6e22dbf548d72f18b722ccb6c2ea8e3d9df6ac1" +} diff --git a/research/pr946-pin-migration/README.md b/research/pr946-pin-migration/README.md new file mode 100644 index 0000000000..91559ac69b --- /dev/null +++ b/research/pr946-pin-migration/README.md @@ -0,0 +1,180 @@ +# PR946 frozen-source migration: exact inventory and restoration replay + +**Research consolidation; no new kappa.** PR946's locale/newline patch changes +bytes that historical packages deliberately authenticate. Its frozen-file +detector does not visit package-local `research/` manifests. The maintainer's +[batch952 review](../../docs/research/community-batch952-review.md) already +identified eight conflicting PR950 inputs and deferred integration. This +package makes that boundary executable and extends the provenance inventory. + +The new evidence is: + +- All **165** proposed paths are checked against the retained batch952 inventory + and, in the recorded source check, the actual PR946 Git diff and blobs. +- A scan of **10,707** tracked JSON files at the exact base finds **561** literal + references to old bytes, spanning **148** proposed paths and **99** JSON files. + There are no parse failures. This is a bounded syntactic inventory, **not 561 + demonstrated verifier failures**. +- The unchanged PR950 verifier independently rejects **each of its eight** + changed inputs. Restoring only the seven scripts still fails on the changed + certificate. Restoring all eight reproduces the complete historical audit, + including **6,760,000** coefficients, and its byte-identical original receipt. + Neither the verifier nor its source manifest is re-pinned. + +Only this new research directory is added. PR946's changes are not applied to +the production tree. The selected record at the base is Jonathan Capalbo's +PR942 T37 composition with conditional kappa **0.001661960547713947**; the +historical central-factor audit does not change it. + +## One-command reproduction + +Use Python 3.11+ and Git, from a clone containing the base commit and this +contribution. No Python dependencies or network calls are needed: + +```sh +python -I -B research/pr946-pin-migration/check.py +``` + +Expected final line: + +```text +PASS_PR946_PIN_MIGRATION json_files=10707 proposal_files=165 old_references=561 single_file_rejections=8 full_audits=2 coefficients_per_audit=6760000 kappa=unchanged +``` + +The command runs six adversarial inventory tests normally and with `-O`, +recomputes and compares every field of [EXPECTED.json](EXPECTED.json), then +runs the isolated historical replay. Full replay itself rejects optimized +Python because inherited audit assertions are required. Disposable source +closures use the current directory; `--scratch-parent PATH` chooses another +existing writable parent. No producer writes to the real `upstream/` tree. + +The scanner reads immutable Git blobs at the named base, so newer working-tree +JSON cannot silently change the historical inventory. The replay instead checks +the 43 original input hashes and both adapter hashes in the checkout before +copying them. If those historical sources have changed, it fails closed; it does +not silently substitute new inputs or claim to migrate a future checkout. + +To corroborate the maintainer's retained inventory directly against the proposal +commit, fetch the public PR once, then use the optional extra check: + +```sh +git fetch origin refs/pull/946/head +python -I -B research/pr946-pin-migration/check.py --check-proposal +``` + +This option always verifies the **pinned** proposal below, even if the live PR +later changes. The default command does not require that PR object: proposed +hashes are already retained in the base, and the eight replay inputs are +included byte-for-byte under [inputs/pr946/](inputs/pr946/). + +## Exact source identities + +| Object | Pin | +|---|---| +| This investigation's base | `407d52ff15b2217b6e22bce44728b4c3907b6515` | +| PR946 proposal head | `b6e22dbf548d72f18b722ccb6c2ea8e3d9df6ac1` | +| Proposal parent / original submission base | `91a2094f2e022930069e8cfdc810a3ea1b81cd09` | +| PR950 historical source base | `47481c89fd30a43f8f882eb4b391e89c29273fd0` | +| PR950 original source manifest SHA256 | `cc1165946c6469f8873ad4fcf8be6698b210411c300314dde8a0319f9b1ad7df` | +| Original/restored complete receipt SHA256 | `ffae0f0a22863718e3134a924592dcf4b05e919223323ba536c587c592bfe6a1` | + +The PR946 metadata in the later batch952 review uses its then-current base +`47481c89...`; that is distinct from the proposal's actual parent `91a2094...`. +The complete diff check uses the latter. EXPECTED records the exact base tree, +Git blob IDs, original/proposed SHA256 values and JSON pointers for every +reported reference. [REPLAY.json](REPLAY.json) preserves the actual execution +receipt, environment, unchanged adapter hashes and all rejection diagnostics. + +## What the inventory establishes + +All tracked regular `.json` files are parsed, without a filename/size filter. +The closed grammar recognizes a repository-relative proposed path as a map key +whose value is either a lowercase 64-character digest or a `sha256` record; +it also recognizes explicit `path/sha256`, `repository_path/sha256`, +`source_path/source_sha256`, and `file/sha256` records. JSON pointers preserve +the exact location. Numeric tokens are left uninterpreted, so very large +integers neither stop scanning nor become false string digests. Duplicate keys +would be reported as a parse failure rather than silently overwritten. + +| Observed category | Count | Meaning | +|---|---:|---| +| Proposed paths absent at this base | 10 | New files, not old-byte migrations | +| Proposed paths with different base bytes | 155 | Actual byte differences | +| References equal to base bytes | 561 | Candidate retention/migration obligations | +| References equal to proposed bytes | 330 | Proposed-byte records, including review inventories | +| References equal to neither | 42 | Other digests; not automatically stale or erroneous | + +Of the 561 old-byte references, 82 are in `certificates/`, 8 are in explicitly +named submitted/vendor archive directories, and 471 are in research/other +locations. These are **path-location categories only**, not freshness or +execution classifications. A preservation snapshot, archived certificate, +canonical-payload digest and actively consumed raw-byte pin require different +treatment. This scanner does not infer those semantics. + +Three concrete manifest intersections help prioritize review: + +| Manifest | Matching changed inputs | Evidence level here | +|---|---:|---| +| `research/central-factor-packed/SOURCES.json` (PR950) | 8 | Isolated source-admission failures and full restoration replay | +| `research/bit-compression-provenance/SOURCES.json` (PR970) | 5 | Exact manifest entries; no new PR970 runtime replay | +| `research/coordinated-frames-and-entrance-banks/SOURCE.json` | 136 | Exact entries; `verify_inner.py::pins` consumes the map, but unrelated historical drift may already block the package | + +In particular, the PR970 intersection was not present in PR946's original +submission base. Its five paths are `audit_bit_compression.py`, `certify.py`, +`prepare_layers.py`, `search_network.py`, and `shared_point_network.py`, all +under `scripts/`. This demonstrates why the integration base matters even when +the proposed patch head is unchanged. + +The grammar deliberately excludes Python/Markdown literals, dynamically built +paths, relative aliases, SHA1/Git pins, compressed JSON, and other digest-field +schemas. No absence in this inventory is a certificate of safe modification. +It does not reconstruct a complete runtime/transitive dependency graph. + +## Executable source-preserving repair boundary + +`replay.py` first authenticates the original 43 inputs plus two adapter files +and manifest, creating a **46-file** temporary closure. It then: + +1. Runs original source admission and the complete packed historical audit. +2. Overlays each proposed input separately and demands its exact pin failure. +3. Overlays all eight; both source admission and a full-audit invocation must + reject before executing proposed source. This is a provenance rejection, + not a mathematical counterexample to the proposed generators. +4. Restores all seven scripts but leaves the proposed certificate; rejection + must persist. Generator-only retention is insufficient. +5. Restores all eight original byte sequences and repeats admission and the + complete audit. The original receipt digest and every closure file must + match exactly. The three package authentication files never change. + +For PR950 this gives a concrete migration option: retain the **whole historical +source namespace**, including the certificate, when later production encoders +change. Editing expected digests alone would authenticate different evidence; +it is not the repair demonstrated here. A future integration may instead +revalidate a new closure, but that requires its own complete replay and receipt. + +For the other inventory entries, inspect the consuming code and distinguish +historical preservation from active validation before choosing retention or +revalidation. Applying the 165-file patch, migrating all consumers, rerunning +the broad verification suite, and fixing PR946's detector remain outside this +contribution. The package is not approval to merge PR946. + +## Scope, validation and credit + +The assignment seed was **95**, drawn from OS randomness as recorded in +[CLAIM.json](CLAIM.json). The bounded experiment covers exactly the named +proposal and base; it performs no mathematical search. There is no impossibility +claim or finite-replay-as-formal-proof claim. All-size/compiler, realization, +hosting, precision/tape and analytic assumptions of the selected result remain. + +Validation passed on Windows with Python 3.14.5: the complete command including +direct proposal-blob comparison, six tests under both assertion modes, and +`python -I -B scripts/verify_selected_result.py`. The existing interpreter emits +a nonfatal location diagnostic, retained in the raw replay receipt. No Linux CI +pass, whole-repository `make verify`, or fresh selected-construction cold replay +is claimed. Those expensive checks were not repeated for this additive evidence +package. + +See [NOTICE.md](NOTICE.md) for predecessor attribution and substantial AI +assistance disclosure. The known eight-input finding belongs to the maintainer +review; the extension here is the exact wider inventory and reproducible +per-input failure/restoration evidence, not a priority claim for that finding. diff --git a/research/pr946-pin-migration/REPLAY.json b/research/pr946-pin-migration/REPLAY.json new file mode 100644 index 0000000000..012bca5e21 --- /dev/null +++ b/research/pr946-pin-migration/REPLAY.json @@ -0,0 +1,232 @@ +{ + "content_coverage_sha256": "5a50ca8c71f1d02bf4bae64f1a5e23eae9168e4e5c592358f3d744ad2be7e76a", + "copied_closure_files": 46, + "full_receipt_byte_identical": true, + "historical_closure_byte_identical": true, + "historical_input_mode": "hash-verified working-tree snapshot", + "inherited_source_files": 43, + "limits": [ + "Only eight PR946 inputs in PR950 closure are overlaid; not the full 165-file patch.", + "Proposal bytes fail source admission and are never executed by the historical audit.", + "Restoration demonstrates retention of historical inputs, not a re-pinned migrated verifier.", + "No semantic-equivalence, selected-frontier or whole-repository claim is made." + ], + "original_admission": { + "interpreter_diagnostics": [ + "Failed to find real location of C:\\Users\\wilds\\AppData\\Local\\Programs\\Python\\Python314\\python.exe" + ], + "source_files": 43, + "status": "PASS_SOURCE_ADMISSION", + "wall_seconds": 0.17812150006648153 + }, + "original_audit": { + "base_commit": "47481c89fd30a43f8f882eb4b391e89c29273fd0", + "coefficients_checked": 6760000, + "engine": "packed", + "interpreter_diagnostics": [ + "Failed to find real location of C:\\Users\\wilds\\AppData\\Local\\Programs\\Python\\Python314\\python.exe" + ], + "receipt_sha256": "ffae0f0a22863718e3134a924592dcf4b05e919223323ba536c587c592bfe6a1", + "scope": "complete_historical_audit", + "seconds": 5.928595499950461, + "source_files": 43, + "source_manifest_sha256": "cc1165946c6469f8873ad4fcf8be6698b210411c300314dde8a0319f9b1ad7df", + "status": "PASS_CENTRAL_FACTOR_PACKED", + "wall_seconds": 6.160655500018038 + }, + "overlay_admission": { + "exception": "ValueError: Source pin mismatch: certificates/dyadic-central-factor.json", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "certificates/dyadic-central-factor.json", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.20446260005701333 + }, + "overlay_changed_paths": [ + "certificates/dyadic-central-factor.json", + "scripts/audit_complex_centers.py", + "scripts/certify.py", + "scripts/complex_compression.py", + "scripts/paired_network.py", + "scripts/prepare_layers.py", + "scripts/search_network.py", + "scripts/shared_point_network.py" + ], + "overlay_full_audit": { + "exception": "ValueError: Source pin mismatch: certificates/dyadic-central-factor.json", + "invocation": "full_audit", + "process_exit_code": 1, + "rejected_path": "certificates/dyadic-central-factor.json", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 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"exception": "ValueError: Source pin mismatch: scripts/certify.py", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "scripts/certify.py", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.19749479996971786 + }, + { + "exception": "ValueError: Source pin mismatch: scripts/complex_compression.py", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "scripts/complex_compression.py", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.21223840001039207 + }, + { + "exception": "ValueError: Source pin mismatch: scripts/paired_network.py", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "scripts/paired_network.py", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.23934219998773187 + }, + { + "exception": "ValueError: Source pin mismatch: scripts/prepare_layers.py", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "scripts/prepare_layers.py", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.20408579998183995 + }, + { + "exception": "ValueError: Source pin mismatch: scripts/search_network.py", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "scripts/search_network.py", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.19396079995203763 + }, + { + "exception": "ValueError: Source pin mismatch: scripts/shared_point_network.py", + "invocation": "admission", + "process_exit_code": 1, + "rejected_path": "scripts/shared_point_network.py", + "status": "EXPECTED_SOURCE_PIN_REJECTION", + "wall_seconds": 0.21436500002164394 + } + ], + "source_and_adapter_checks_unchanged": true, + "source_manifest_sha256": "cc1165946c6469f8873ad4fcf8be6698b210411c300314dde8a0319f9b1ad7df", + "status": "PASS_PR946_PIN_MIGRATION_REPLAY" +} diff --git a/research/pr946-pin-migration/check.py b/research/pr946-pin-migration/check.py new file mode 100644 index 0000000000..ee12cca250 --- /dev/null +++ b/research/pr946-pin-migration/check.py @@ -0,0 +1,39 @@ +#!/usr/bin/env python3 +"""One-command inventory, adversarial controls and full historical replay.""" +import argparse +import json +from pathlib import Path +import subprocess +import sys + +HERE = Path(__file__).resolve().parent + + +def main(): + if sys.flags.optimize: + raise SystemExit("Full historical replay requires assertion-enabled Python") + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--scratch-parent", type=Path, default=Path.cwd(), + help="Existing writable parent for disposable closures (default: current directory)") + parser.add_argument("--check-proposal", action="store_true", + help="Also compare fetched PR946 Git blobs with the 165-file frozen inventory") + args = parser.parse_args() + for flags in ([], ["-O"]): + subprocess.run([sys.executable, "-I", "-B", *flags, str(HERE / "test_inventory.py")], check=True) + subprocess.run([sys.executable, "-I", "-B", str(HERE / "verify.py"), + *(["--check-proposal"] if args.check_proposal else [])], check=True) + run = subprocess.run([sys.executable, "-I", "-B", str(HERE / "replay.py"), + "--scratch-parent", str(args.scratch_parent.resolve())], + check=True, capture_output=True, text=True, encoding="utf-8") + replay = json.loads(run.stdout) + if replay["status"] != "PASS_PR946_PIN_MIGRATION_REPLAY": + raise ValueError("Unexpected replay status") + if run.stderr: + print(run.stderr, end="", file=sys.stderr) + print("PASS_PR946_PIN_MIGRATION json_files=10707 proposal_files=165 " + "old_references=561 single_file_rejections=8 full_audits=2 " + "coefficients_per_audit=6760000 kappa=unchanged") + + +if __name__ == "__main__": + main() diff --git a/research/pr946-pin-migration/inputs/pr946/certificates/dyadic-central-factor.json b/research/pr946-pin-migration/inputs/pr946/certificates/dyadic-central-factor.json new file mode 100644 index 0000000000..319cfd03eb --- /dev/null +++ b/research/pr946-pin-migration/inputs/pr946/certificates/dyadic-central-factor.json @@ -0,0 +1,111 @@ +{ + "central_factor": { + "all_scalar_weights_dyadic": true, + "central_roles": 26, + "coefficients_checked": 6760000, + "gather_steps": 14100, + "h": 26, + "integer_product_verified": true, + "scatter_steps": 31281, + "triples": 2600 + }, + "central_frames": { + "downward_dimensions_per_invocation": 676, + "gates_keep_all_incidences": true, + "proof": "notes/dyadic-central-factor.tex" + }, + "certified_complex_saving": "9/250000000", + "counts": { + "L": 13709280000, + "N": 17576000000, + "W": 1247192960000, + "central_roles": 26, + "deficit": 7733440000, + "disjoint_roles": 60372, + "eta": "11/31179824", + "h": 26, + "intersection_two_roles": 29250, + "m": 17576, + "s": 21920655731520000, + "side_roles": 89622, + "v": 2600 + }, + "intersection_two": { + "additions": 66, + "exact_integer_coefficient_map": true, + "forward_and_reverse_support_frames_nested": true, + "inputs": 24, + "outputs": 24, + "roles": 90 + }, + "retained_kappa": "1/2147483648", + "saving_bounds": [ + "13867406827121747698213484445917329063926970205812311450540131431139181522838059254585365341115759010725765363151593498401486841552821799043514085337417669717773280021102959251718348882098063376992130842190235853195190429687500000000000000000/384203535827616811305191090247666600132860739384113996108629694609071319923530371217243029931042487506498787920411773785265607601944382812709407218678146478537910783086260126089855555299817768180139156666845559682941405005578001988924714237414010327", + "20382857968031566052195152623489179324388391544943667823094827243466276872102313265390121766735292065250776687010135197081827688880103479064723180848367672476769569859373098624252350032814659377615206713575094252999377886226284317672252655029296875/564717412506692844896840397366158333257107635623755961551470334488405490096014422910704202005572220342527090260809712391962213661943889643880925804090067884903566842883556174214979399312766243319546215838292524849609141674825893227089844061311925774311424" + ], + "scalar_charge": { + "C": 10400, + "E": 124159782907546727457983300019839938112, + "G": 14100, + "H": 31281, + "J": 10400, + "M": 158444, + "guard": { + "B": 124159782907546727458005220675571458112, + "C0": 4881895913278036402129936106457482525749765266192734292477228464885704741276994568192, + "C1": "4961/1000", + "E": 124159782907546727457983300019839938112, + "alpha": "5", + "beta": "1/100", + "finite_network_and_node_charge_verified": false, + "m": 17576, + "recurrence_assumption": "A(e)<=s A(e/m)+E internally; A(e)<=8e at leaves eQ(36,10**9),'Claimed complex saving unsupported') + M=sum(len(ins)+len(outs)-2 for ins,outs in code['gates']) + C=len(code['sources']);J=len(code['outputs']) + G=checked['gather_steps'];H=checked['scatter_steps'] + steps=3*n['v']**2*(4*M+2*C+4*J+2*G+2*H) + E=64*(n['W']+n['m']+1)**3 + slack=E-(4*steps+8*n['s']+8*n['W']+8*n['m']) + require(slack>0,'Node charge insufficient') + g=guard(n['m'],n['s'],E,Q(1,100),Q(1,1000),Q(5)) + labels,pi=matching(h) + require(len(labels)==len(set(pi))==n['v'],'Nonbijective shared matching') + require(all(any(i not in S and i not in labels[j] for i in range(h)) + for S,j in zip(labels,pi)),'Missing shared residual unit') + sources=('scripts/audit_complex_centers.py','scripts/experiments/complex_centers.py', + 'scripts/experiments/disjoint_tensor.py','scripts/complex_compression.py', + 'scripts/exclusion_circuit.py','scripts/binary_phase_frames.py', + 'scripts/general_network_guard.py','notes/dyadic-central-factor.tex', + 'notes/disjoint-tensor-compression.tex','notes/complex-compression.tex', + 'docs/research/dyadic-central-factor.md') + return dict(status='COMPLEX INTERFACE HEADROOM; RETAINED KAPPA 2^-31', + upstream_commit=verify_sources(),retained_kappa=Q(1,2**31), + certified_complex_saving=Q(36,10**9),saving_bounds=(lo,hi),counts=n, + central_factor=checked,side_circuit=side,side_phase_frames=frames, + intersection_two=LeaveOneCircuit(h-2).verify(), + central_frames=dict(gates_keep_all_incidences=True, + downward_dimensions_per_invocation=h*h, + proof='notes/dyadic-central-factor.tex'), + shared_matching_sha256=sha256(json.dumps(pi).encode()).hexdigest(), + scalar_charge=dict(M=M,C=C,J=J,G=G,H=H,steps=steps,E=E,slack=slack,guard=g), + source_sha256={p:sha256((ROOT/p).read_bytes()).hexdigest() for p in sources}) + + +if __name__=='__main__': + result=certificate() + (ROOT/'certificates/dyadic-central-factor.json').write_text( + json.dumps(serializable(result),indent=2,sort_keys=True)+'\n', encoding='utf-8', newline='\n') + print('PASS: h central roles; complex saving > 3.6e-8; retained kappa 2^-31.') diff --git a/research/pr946-pin-migration/inputs/pr946/scripts/certify.py b/research/pr946-pin-migration/inputs/pr946/scripts/certify.py new file mode 100644 index 0000000000..00cae6da5c --- /dev/null +++ b/research/pr946-pin-migration/inputs/pr946/scripts/certify.py @@ -0,0 +1,283 @@ +#!/usr/bin/env python3 +"""Exact certificates for the numerical implications in manuscript #109. + +These checks do not certify the upstream algorithm or its time bounds. +No floating-point arithmetic is used in a certificate. +""" +from dataclasses import dataclass +from fractions import Fraction as Q +import hashlib +import json +from math import comb, factorial +from pathlib import Path + +ROOT = Path(__file__).resolve().parents[1] + + +def dyadic(k): + return Q(1, 2**k) + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +@dataclass(frozen=True) +class Parameters: + tau: Q + sigma: Q + epsilon: Q + c: Q + lam: Q + lamp: Q + kappa: Q + beta: Q = Q(1, 2) + delta: Q = Q(1, 16) + C1: int = 20 + + +def proposed(k): + """The user's family: k=50,42,36 gives kappa=2^-154,-130,-112.""" + return Parameters(1-dyadic(k), 1-dyadic(k), dyadic(k+1), + dyadic(k+1), 1-dyadic(2*k+1), + 1-dyadic(2*k+2), dyadic(3*k+4)) + + +def balanced(k): + """Balance g2 and g3, gaining a factor two with the same epsilon and c.""" + a = dyadic(k) + return Parameters(1-a, 1-a, a/2, a/2, 1-3*a*a/4, + 1-a*a/2, a**3/8) + + +def near_supremum(k, relative_gap=Q(1, 100)): + """Approach the strict-constraint supremum while retaining 2*kappa slack.""" + require(0 < relative_gap < 1, "Choose a positive gap smaller than one") + a = dyadic(k) + q = (1-relative_gap)*a*a/(2-a) + c = q/a + e = a/(1+a+q) + lamp = 1-q + lam = (lamp+(1-a)*(1+2*c))/2 + return Parameters(1-a, 1-a, e, c, lam, lamp, e*q/2) + + +BASELINE = Parameters(1-dyadic(50), 1-dyadic(50), dyadic(75), + dyadic(56), 1-dyadic(52), 1-dyadic(54), dyadic(182)) + +A = Q(9, 500000000000) +LOG_BOUND = Q(5743, 500) + + +def pushed(variant): + """Strict-margin witnesses; variable beta uses the generalized layer proof.""" + a = A + if variant == "109": + return Parameters(1-a, 1-a, 3*a/4, a/2, 1-3*a*a/4, + 1-a*a/2, dyadic(109)) + if variant == "108": + return Parameters(1-a, 1-a, 3*a/4, 3*a/4, 1-7*a*a/8, + 1-3*a*a/4, dyadic(108), beta=Q(3, 4)) + require(variant == "rational", "Unknown pushed variant") + beta, e, c = Q(999, 1000), Q(999, 1000)*a, Q(998, 1000)*a + lamp = 1-a*c + lam = (lamp+(1-a)*(1+c/beta))/2 + return Parameters(1-a, 1-a, e, c, lam, lamp, Q(58, 10**34), beta=beta) + + +def layout_degree(layout_model): + require(layout_model in ("adjacent", "nonadjacent"), "Unknown layout model") + return 2 if layout_model == "adjacent" else 1 + + +def constraints(p, *, layout_model="adjacent", assembly_model="original"): + """Positive slacks, transcribed from the cited labelled source statements.""" + require(assembly_model in ("original", "tight-gaussian"), "Unknown assembly model") + tight = assembly_model == "tight-gaussian" + e, c, t, s, b = p.epsilon, p.c, p.tau, p.sigma, p.beta + return { + # prop:simultaneous-layer and its recurrence proof. + "tau_positive": t, + "tau_below_one": 1-t, + "sigma_positive": s, + "sigma_below_one": 1-s, + "c_positive": c, + "epsilon_positive": e, + "beta_positive": b, + "beta_below_one": 1-b, + "lambda_above_tau": p.lam-t, + "lambda_above_sigma": p.lam-s, + "lambda_below_one": 1-p.lam, + "packed_overhead": p.lam-t*(1+c/b), + "lambda_prime_above_lambda": p.lamp-p.lam, + "leaf_cost": p.lamp-(s+b*(1-s)), + "lambda_prime_below_one": 1-p.lamp, + "guard_width": 1-e*p.C1, + # eq:fixed-parameters and setup proof in sec:assembly. + "dimension_upper_bound": (Q(1, 3) if tight else Q(1, 12))-e, + "crt_layout": 1-t-e*(layout_degree(layout_model)-t), + "gaussian_cost": Q(1, 4)-p.delta-(Q(5, 4) if tight else Q(3, 2))*e, + "prefix_cost": 1-e*(1+c), + "scalar_cost": 1-p.delta-e, + "delta_positive": p.delta, + "delta_below_one_eighth": Q(1, 8)-p.delta, + # Derived conditions used outside the final displayed system. + "prime_interval_growth": 1-2*e, + "alpha_below_sqrt_p": Q(1, 4)-(e/4 if tight else e/2), + "gamma_sublinear": Q(1, 2)-(Q(3, 2) if tight else 2)*e, + "K_smaller_than_ell": 1-e-e*c, + "K_dominates_log_p": e*c, + "r_superpolynomial": 1-e, + "kappa_positive": p.kappa, + } + + +def margins(p, *, layout_model="adjacent", assembly_model="original"): + require(assembly_model in ("original", "tight-gaussian"), "Unknown assembly model") + e, c, t = p.epsilon, p.c, p.tau + return { + "g1": 1-e*(1+c), + "g2": e*c*(1-t), + "g3": e*(1-p.lamp), + "g4": 1-t-e*(layout_degree(layout_model)-t), + "g5": Q(1, 4)-p.delta-(Q(5, 4) if assembly_model == "tight-gaussian" else Q(3, 2))*e, + "g6": 1-p.delta-e, + "g7": e, + } + + +def certify_parameters(p, *, generalized_beta=False, strict_margin=False, + layout_model="adjacent", assembly_model="original", + guard_model="original"): + require(generalized_beta or p.beta == Q(1, 2), + "Upstream layer proof fixes beta=1/2; select the audited generalization") + require(0 < p.beta < 1, "Beta must lie strictly between zero and one") + require(guard_model in ("original", "stopping"), "Unknown guard model") + if guard_model == "original": + require(p.C1 >= 20, "C1 must cover the upstream guard bound") + else: + # Caller must also certify m>=3 and 2<=s_c= 2 and p.beta >= Q(9, 10), + "Stopping guard requires C1>=2 and beta>=9/10") + slacks = constraints(p, layout_model=layout_model, assembly_model=assembly_model) + for name, slack in slacks.items(): + require(slack > 0, f"Failed strict constraint: {name} ({slack})") + gs = margins(p, layout_model=layout_model, assembly_model=assembly_model) + if strict_margin: + require(min(gs.values()) > p.kappa, "Need a positive absorption gap") + else: + require(min(gs.values()) >= 2*p.kappa, + "The proposed patch requires every g_i >= 2*kappa") + result = {"parameters": {k: str(v) for k, v in vars(p).items()}, + "constraint_slacks": {k: str(v) for k, v in slacks.items()}, + "margins": {k: str(v) for k, v in gs.items()}, + "minimum_margin": str(min(gs.values())), + "limiting_margins": [k for k, v in gs.items() if v == min(gs.values())], + "all_margins_at_least_twice_kappa": min(gs.values()) >= 2*p.kappa, + "absorption_gap": str(min(gs.values())-p.kappa), + "slack_rule": "strict" if strict_margin else "half", + "generalized_beta": generalized_beta} + if assembly_model != "original" or guard_model != "original": + result.update(assembly_model=assembly_model, guard_model=guard_model) + return result + + +def network(h): + """Generalized counts only; these do not prove the network interface.""" + require(h > 6 and h != 9, "Need spare coordinates and nondegenerate rational form") + v, m = comb(h, 3), h**3 + N, I = v**3, 3*v**2 + zb, zc = 3*comb(h-3, 2), comb(h-3, 3)+3*(h-3) + Wb, Wc = 2*N+I*(v*zb+h), 2*N+I*(v*zc+h+1) + Lb, Lc = I*h*h, I*(h+1)*h + sb, sc = Wb*m-N+2*Lb, Wc*m-2*N+2*Lc + eb, ec = Q(Wb*m-sb, Wb*m), Q(Wc*m-sc, Wc*m) + E = 64*(Wc+m+1)**3 + B = sc+E + nu = 1 + while m**nu < B: + nu += 1 + return dict(h=h, v=v, m=m, N=N, I=I, zb=zb, zc=zc, + Wb=Wb, Wc=Wc, Lb=Lb, Lc=Lc, sb=sb, sc=sc, + eta_b=eb, eta_c=ec, B=B, nu=nu, C1=max(20, nu+3)) + + +def certify_network(h, k, log_bound): + n = network(h) + # A positive Taylor partial sum below exp(log_bound) proves m n["m"], "Could not certify the logarithm bound") + for key in ("eta_b", "eta_c"): + require(n[key] > log_bound*dyadic(k), f"Insufficient deficit: {key}") + require(2*n["Lb"] < n["N"] and 2*n["Lc"] < n["N"], + "The generalized residual lemma requires L A*LOG_BOUND for key in ("eta_b", "eta_c")), + "Rank deficit does not support the requested rational saving") + certify_network(46, 36, 12) # Residual and guard conditions. + return {"h": 46, "saving": str(A), "log_bound": str(LOG_BOUND), + "log_lower": str(lo), "log_upper": str(hi), + "deficit_slacks": {k: str(n[k]-A*LOG_BOUND) for k in ("eta_b", "eta_c")}} + + +def certificates(): + return { + "upstream_commit": verify_sources(), + "scope": "Exact numerical certificates, conditional on the upstream proof interfaces", + "cases": {name: certify_parameters(p) for name, p in { + "baseline_182": BASELINE, "frozen_154": proposed(50), + "same_network_130": proposed(42), "h46_112": proposed(36), + "balanced_frozen_153": balanced(50), + "balanced_same_network_129": balanced(42), + "balanced_h46_111": balanced(36), + "near_supremum_frozen": near_supremum(50), + "near_supremum_same_network": near_supremum(42), + "near_supremum_h46": near_supremum(36), + }.items()} | { + f"pushed_{v}": certify_parameters(pushed(v), generalized_beta=v != "109", + strict_margin=True) + for v in ("109", "108", "rational") + }, + "networks": { + "baseline_h100": certify_network(100, 50, 20), + "improved_h100": certify_network(100, 42, 14), + "improved_h46": certify_network(46, 36, 12), + "rational_h46": certify_rational_network(), + }, + } + + +if __name__ == "__main__": + result = certificates() + out = ROOT / "certificates/parameters.json" + out.parent.mkdir(exist_ok=True) + out.write_text(json.dumps(result, indent=2, sort_keys=True) + "\n", encoding='utf-8', newline='\n') + for name, case in result["cases"].items(): + print(f"PASS {name}: minimum {case['minimum_margin']} ({', '.join(case['limiting_margins'])})") + print(f"Wrote {out.relative_to(ROOT)}") diff --git a/research/pr946-pin-migration/inputs/pr946/scripts/complex_compression.py b/research/pr946-pin-migration/inputs/pr946/scripts/complex_compression.py new file mode 100644 index 0000000000..98496d0637 --- /dev/null +++ b/research/pr946-pin-migration/inputs/pr946/scripts/complex_compression.py @@ -0,0 +1,347 @@ +#!/usr/bin/env python3 +"""Reusable weighted side circuits with binary phase-frame certificates. + +New finite-network construction, conditional on the written transfer proof. +The published compact-control certificate and upstream sources are unchanged. +""" +from fractions import Fraction as Q +from functools import cache +from hashlib import sha256 +from itertools import combinations, product +from math import comb +from pathlib import Path +import json + +from binary_phase_frames import basis, certify_chain, nullspace +from certify import Parameters, constraints, margins, require, verify_sources +from exclusion_circuit import ExclusionCircuit +from incidence_rectangles import Plan, rectangles, stars +from paired_network import BIT_SAVING +from prepare_layers import serializable +from search_network import log_integer_bounds, log_ratio_bounds + +ROOT = Path(__file__).resolve().parents[1] + + +@cache +def disjoint_plan(n, a=3, b=3): + """Exact partition; optimize only stars and recursive unweighted splits.""" + assert n >= 0 and 0 <= a <= 3 and 0 <= b <= 3 + if a+b > n: + return Plan(n, a, b, 0, 0, 0, 'empty') + if not a or not b: + return Plan(n, a, b, 1, comb(n, a), comb(n, b), 'base') + winner = min((stars(n, a, b, 'rows'), stars(n, a, b, 'cols')), key=lambda p:p.score()) + for left in range(1, n): + terms = tuple((disjoint_plan(left, x, y), disjoint_plan(n-left, a-x, b-y)) + for x in range(a+1) for y in range(b+1) + if x+y <= left and a+b-x-y <= n-left) + p = Plan(n, a, b, sum(A.count*B.count for A, B in terms), + sum(A.left*B.left for A, B in terms), + sum(A.right*B.right for A, B in terms), 'split', left, terms) + if p.score() < winner.score(): + winner = p + return winner + + +class LeaveOneCircuit(ExclusionCircuit): + """Disjoint-support sums of all but one input, with reusable compilation.""" + def __init__(self, n): + assert n >= 3 + self.n = n + self.inputs = list(range(n)) + self.support = [0]+[1 << i for i in range(n)] + self.args = [None]*len(self.support) + self.lookup = {s:i for i, s in enumerate(self.support)} + self.variables = {i:i+1 for i in range(n)} + _, values, _ = self.vector(list(range(1, n+1)), two=False) + self.outputs = dict(enumerate(values)) + self.active = set() + stack = list(values) + while stack: + node = stack.pop() + if not node or node in self.active: + continue + self.active.add(node) + if self.args[node]: + stack.extend(self.args[node]) + self.additions = sum(self.args[i] is not None for i in self.active) + + def verify(self): + assert self.additions == 3*self.n-6 + for i, node in self.outputs.items(): + assert self.support[node] == ((1 << self.n)-1) ^ (1 << i) + for node in self.active: + if self.args[node]: + a, b = self.args[node] + assert not self.support[a] & self.support[b] + assert self.support[node] == self.support[a] | self.support[b] + code = self.compile() + values = [0]*code['roles'] + forward_frames = [0]*code['roles'] + for i, slot in code['sources'].items(): + values[slot] = forward_frames[slot] = 1 << i + for node, ins, outs in code['gates']: + for slot in set(ins+outs): + assert not forward_frames[slot] & ~self.support[node] + forward_frames[slot] = self.support[node] + for i in ins[1:]: + assert not values[ins[0]] & values[i] + values[ins[0]] |= values[i] + for i in outs[1:]: + assert values[i] == 0 + values[i] = values[ins[0]] + for i, slot in code['outputs'].items(): + assert values[slot] == ((1 << self.n)-1) ^ (1 << i) + descendants = {node:0 for node in self.active} + reverse_frames = [0]*code['roles'] + for i,node in self.outputs.items(): + descendants[node] |= 1 << i + reverse_frames[code['outputs'][i]] = 1 << i + for node in sorted(self.active,reverse=True): + if self.args[node]: + for parent in self.args[node]:descendants[parent] |= descendants[node] + for node,ins,outs in reversed(code['gates']): + for slot in set(ins+outs): + assert not reverse_frames[slot] & ~descendants[node] + reverse_frames[slot] = descendants[node] + for i,slot in code['sources'].items(): + assert reverse_frames[slot] == ((1 << self.n)-1) ^ (1 << i) + return dict(inputs=self.n, additions=self.additions, outputs=self.n, + roles=code['roles'], exact_integer_coefficient_map=True, + forward_and_reverse_support_frames_nested=True) + + +def mask(points): + return sum(1 << x for x in points) + + +def rectangle_frame(sources, targets, h): + """Common physical-source frame; swap arguments for the inverse stage.""" + if len(sources) == 1: + return (mask(sources[0]),) + if len(targets) == 1: + return nullspace((mask(targets[0]),), h) + used = set().union(*map(set, sources)) + return tuple(1 << i for i in sorted(used)) + + +def verify_disjoint_partition(h): + triples = list(combinations(range(h), 3)) + indices = {t:i for i, t in enumerate(triples)} + v = len(triples) + seen = bytearray(v*v) + plan = disjoint_plan(h) + totals = [0, 0, 0] + frame_types = dict(source_line=0, target_complement=0, coordinate=0) + digest = sha256() + edges = 0 + for sources, targets in rectangles(plan): + A = set().union(*map(set, sources)); B = set().union(*map(set, targets)) + assert not A & B + if len(sources) == 1: + frame_types['source_line'] += 1 + assert h > 6 + elif len(targets) == 1: + frame_types['target_complement'] += 1 + assert h > 6 + else: + frame_types['coordinate'] += 1 + assert len(A) >= 4 and len(B) >= 4 + totals[0] += 1; totals[1] += len(sources); totals[2] += len(targets) + si = [indices[s] for s in sources]; ti = [indices[t] for t in targets] + digest.update(json.dumps([si, ti], separators=(',', ':')).encode()+b'\n') + for i in si: + for j in ti: + index = i*v+j + assert not seen[index], 'Duplicate disjoint-triple coefficient' + seen[index] = 1 + edges += 1 + assert totals == [plan.count, plan.left, plan.right] + assert edges == v*comb(h-3, 3) + return dict(h=h, rectangles=plan.count, source_memberships=plan.left, + target_memberships=plan.right, roles=plan.score(), coefficients=edges, + every_ordered_disjoint_pair_once=True, frame_types=frame_types, + partition_sha256=digest.hexdigest()) + + +def phase_controls(h=8): + """Exact local residual bases in both directions for every small rectangle.""" + full = tuple(1 << i for i in range(h)) + checked = 0 + for sources, targets in rectangles(disjoint_plan(h)): + for S, T in ((sources, targets), (targets, sources)): + U = rectangle_frame(S, T, h) + certify_chain(((), U, full)) + for s in S: + certify_chain(((mask(s),), U, full)) + for t in T: + certify_chain(((), U, nullspace((mask(t),), h), full)) + checked += 1 + # Fixed-pair indicator vectors plus two extras form an explicit full basis. + for pair in combinations(range(h), 2): + points = [i for i in range(h) if i not in pair] + vectors = [mask((*pair, i)) for i in points] + extras = [mask((i, *points)) for i in pair] + from binary_phase_frames import dot + all_vectors = vectors+extras + assert all(dot(a,b)==(i==j) for i,a in enumerate(all_vectors) + for j,b in enumerate(all_vectors)) + for size in range(1, len(points)): + U = vectors[:size] + certify_chain(((), U, nullspace((vectors[size],), h), full)) + return dict(h=h, directed_rectangle_checks=checked, + all_local_residual_bases_constructed=True, pair_basis_checked=True) + + +def matching(h): + assert h >= 8 and h % 2 == 0 + triples = list(combinations(range(h), 3)) + index = {t:i for i,t in enumerate(triples)} + pi = [index[tuple(sorted(x ^ 1 for x in t))] for t in triples] + assert len(set(pi)) == len(triples) + assert all(len(set(t)&set(triples[j])) in (0,2) for t,j in zip(triples,pi)) + return triples, pi + + +def counts(h=26): + assert h >= 8 and h % 2 == 0 + v=comb(h,3); N=v**3; m=h**3 + R0=disjoint_plan(h).score() + R2=comb(h,2)*(4*(h-2)-6) + R=R0+R2; L=3*v*v*h*(h+1) + W=2*N+2*v*v*(R+h+1) + deficit=2*N-2*L + return dict(h=h,v=v,N=N,m=m,disjoint_roles=R0,intersection_two_roles=R2, + side_roles=R,central_roles=h+1,L=L,W=W,s=W*m-deficit, + deficit=deficit,eta=Q(deficit,W*m)) + + +def saving_bounds(n): + assert 0 < n['eta'] < Q(1,2) + lo,hi=log_ratio_bounds(1/(1-n['eta']),terms=4) + dlo,dhi=log_integer_bounds(n['m']) + return lo/dhi,hi/dlo + + +def scalar_program(h): + """Weighted rectangle and leave-one circuits, over characteristic zero.""" + triples=list(combinations(range(h),3));index={t:i for i,t in enumerate(triples)} + gates=[];sources=[];outputs=[];offset=0 + for S,T in rectangles(disjoint_plan(h)): + ins=tuple(range(offset,offset+len(S))) + outs=(offset,)+tuple(range(offset+len(S),offset+len(S)+len(T)-1)) + gates.append((ins,outs)) + sources.extend((index[s],slot) for s,slot in zip(S,ins)) + outputs.extend((index[t],slot,Q(1,2)) for t,slot in zip(T,outs)) + offset+=len(S)+len(T)-1 + c=LeaveOneCircuit(h-2);code=c.compile() + for pair in combinations(range(h),2): + rest=[x for x in range(h) if x not in pair] + def idx(i):return index[tuple(sorted((*pair,rest[i])))] + for _,ins,outs in code['gates']: + gates.append((tuple(offset+i for i in ins),tuple(offset+i for i in outs))) + sources.extend((idx(i),offset+slot) for i,slot in code['sources'].items()) + outputs.extend((idx(i),offset+slot,Q(-1,2)) for i,slot in code['outputs'].items()) + offset+=code['roles'] + assert offset==counts(h)['side_roles'] + return dict(h=h,triples=triples,gates=gates,sources=sources,outputs=outputs,roles=offset) + + +def invoke(x,y,scratch,center,code,inverse=False): + """Twelve signed operations; no temporary is assumed zero.""" + def mix(sign): + for ins,outs in (code['gates'] if sign==1 else reversed(code['gates'])): + pivot=ins[0] + if sign==1: + for i in ins[1:]:scratch[pivot]+=scratch[i] + for j in outs[1:]:scratch[j]+=scratch[pivot] + else: + for j in outs[1:]:scratch[j]-=scratch[pivot] + for i in ins[1:]:scratch[pivot]-=scratch[i] + def copy(sign): + for i,slot in code['sources']:scratch[slot]+=sign*x[i] + def inject(sign): + for i,slot,weight in code['outputs']:y[i]+=sign*weight*scratch[slot] + def gather(sign): + for i,t in enumerate(code['triples']): + for point in t:center[point]+=sign*x[i] + center[-1]+=sign*x[i] + def scatter(sign): + for i,t in enumerate(code['triples']): + y[i]+=sign*Q(1,2)*(sum(center[point] for point in t)-center[-1]) + operations=((mix,1),(inject,-1),(mix,-1),(scatter,-1),(copy,1),(gather,1), + (scatter,1),(mix,1),(inject,1),(mix,-1),(gather,-1),(copy,-1)) + if inverse:operations=tuple((op,-sign) for op,sign in reversed(operations)) + for op,sign in operations:op(sign) + + +def assembly_control(h=26): + """Exact witness used by make_complex_compression_patch.py.""" + n=counts(h);ac=Q(5,10**9);a=BIT_SAVING + require(saving_bounds(n)[0]>ac,'Unsupported compressed-complex saving') + beta=Q(1,100);zeta=Q(1,1000);C1=5-4*beta+zeta + p=Parameters(1-a,1-ac,Q(199,1000),Q(1),1-Q(293,10**11), + 1-Q(29,10**10),Q(1,2**31),beta=beta,delta=Q(1,10000),C1=C1) + chi=p.tau+(1-beta)*max(p.sigma-p.tau,0) + cs=constraints(p,layout_model='nonadjacent',assembly_model='tight-gaussian') + cs['packed_overhead']=p.lam-chi + cs['reserved_axes']=p.lamp-max(0,1-p.c) + require(all(value>0 for value in cs.values()),'Assembly constraint failed') + gs=margins(p,layout_model='nonadjacent',assembly_model='tight-gaussian') + require(min(gs.values())>p.kappa,'No absorption margin') + require(2<=n['s']=9*n['m']*B*B*(1+1/zeta)+18, + 'Guard must also cover the reserved-axis and outer charges') + powers=dict(d=p.epsilon, K=p.epsilon*p.c, ell=1-p.epsilon, + alpha=(1+p.epsilon)/4, gamma=(1+3*p.epsilon)/2, + prime_interval_ratio=1-2*p.epsilon, guard=p.epsilon*C1) + return dict(status='CONDITIONAL 2^-31 WITNESS; INTEGRATED BY make_complex_compression_patch.py', + parameters=vars(p),complex_saving=ac,internal_exponent=chi, + constraint_slacks=cs,margins=gs,minimum_margin=min(gs.values()), + absorption_gap=min(gs.values())-p.kappa,guard_C0=C0,guard_C1=C1, + scalar_steps_per_network=scalar_steps,guard_node_charge=E, + derived_powers=powers) + + +def certificate(): + h=26;n=counts(h);triples,pi=matching(h) + _,loghi=log_integer_bounds(n['m']) + require(n['eta']>Q(5,10**9)*loghi,'Simple exponential bound failed') + proof_files=['notes/complex-compression.tex','notes/compact-control-movement.tex', + 'notes/compact-control-layout.tex','notes/compact-control-guard.tex'] + return dict(status='CONDITIONAL FINITE COMPLEX NETWORK; WRITTEN TRANSFER PROOF SUPPLIED; PUBLISHED WITNESS UNCHANGED', + upstream_commit=verify_sources(),counts=n, + disjoint_partition=verify_disjoint_partition(h), + intersection_two_circuit=LeaveOneCircuit(h-2).verify(), + phase_controls=phase_controls(), + matching=dict(h=h,triples=len(triples),bijective=True,all_binary_dot_products_zero=True, + sha256=sha256(json.dumps(pi,separators=(',',':')).encode()).hexdigest()), + complex_saving_bounds=saving_bounds(n),simple_saving=Q(5,10**9), + simple_saving_slack=n['eta']-Q(5,10**9)*loghi, + assembly_control=assembly_control(), + proof_sha256={name:sha256((ROOT/name).read_bytes()).hexdigest() + for name in proof_files}, + scoped_ceiling=dict(upper=BIT_SAVING/5, + scope='Retained certified bit exponent and Gaussian assembly constraint; not a ceiling for other bit networks or assembly proofs.'), + finite_screen={str(h):dict(counts=counts(h),saving_bounds=saving_bounds(counts(h))) + for h in range(22,41,2)}, + scope='Exact finite construction and conditional accounting, not independent verification of upstream. The 2^-34 published source patch is unchanged. Finite screen has no all-h optimality claim.') + + +if __name__=='__main__': + (ROOT/'certificates/complex-compression.json').write_text( + json.dumps(serializable(certificate()),indent=2,sort_keys=True)+'\n', encoding='utf-8', newline='\n') + print('PASS compressed complex network and conditional 2^-31 witness.') diff --git a/research/pr946-pin-migration/inputs/pr946/scripts/paired_network.py b/research/pr946-pin-migration/inputs/pr946/scripts/paired_network.py new file mode 100644 index 0000000000..136ee42fa9 --- /dev/null +++ b/research/pr946-pin-migration/inputs/pr946/scripts/paired_network.py @@ -0,0 +1,91 @@ +#!/usr/bin/env python3 +"""Conditional 2^-59 certificate: paired sums, stopped guard, tighter Gaussian width.""" +from fractions import Fraction as Q +from pathlib import Path +import json + +from certify import Parameters,certify_parameters,network,require,verify_sources +from shared_point_circuit import SharedPointCircuit +from shared_point_network import counts +from paired_exclusion_circuit import PairedExclusionCircuit +from search_network import log_integer_bounds + +ROOT=Path(__file__).resolve().parents[1] +H=50 +BIT_SAVING=Q(296,10**11) +COMPLEX_SAVING=Q(1,10**11) +LOG_BOUND=Q(11737,1000) +KAPPA=Q(1,2**59) + + +def circuit(h=H):return SharedPointCircuit(h,PairedExclusionCircuit(h-1)) + + +def parameters(): + a=BIT_SAVING;b=Q(999,1000) + return Parameters(1-a,1-COMPLEX_SAVING,Q(199,1000),b*a, + 1-(1+b)*a*a/2,1-b*a*a,KAPPA,beta=b, + delta=Q(1,10000),C1=2) + + +def guard_certificate(h=H,beta=Q(999,1000)): + n=network(h);m=n['m'];s=n['sc'];E=n['B']-s;B=n['B'] + require(m>=3 and 2<=sBIT_SAVING*LOG_BOUND,'Bit saving failed') + require(old['eta_c']>COMPLEX_SAVING*LOG_BOUND,'Complex saving failed') + require(2*old['Lc']=2^40 cutoff failed') + witness=certify_parameters(p,generalized_beta=True,strict_margin=True, + layout_model='nonadjacent',guard_model='stopping',assembly_model='tight-gaussian') + require(Q(witness['minimum_margin'])==p.epsilon*p.beta*BIT_SAVING**2,'Wrong limiting margin') + a_upper=n['eta']/((1-n['eta'])*lo) + ceiling=a_upper*a_upper/(5*(1-a_upper)) + require(ceiling 0, 'Need 00') + n = network(h) + m, s, B = n['m'], n['sc'], n['B'] + E = B-s + require(m >= 3 and 2 <= s < m**5, 'Unverified coefficient-depth hypothesis') + require(s*(8+E) <= 9*B*B, 'One-piece constant failed') + C1 = 5-4*beta+zeta + raw_C0 = max(Q(128*m*B*B), 18*m*B*B*(1+1/zeta)) + C0 = -(-raw_C0.numerator//raw_C0.denominator) + require(9*m*B*B*(1+1/zeta)+18 <= C0, 'Whole-layer constant failed') + return dict(h=h, m=m, s=s, E=E, B=B, beta=beta, zeta=zeta, + C0=C0, C1=C1, one_piece_exponent=5-4*beta) + + +def packed_exponents(tau, sigma, beta, c, *, theta=None): + """Sum the recurrence for either exponent ordering. + + theta=tau is the EXISTING packed bound. Any other theta is only a + hypothetical O(V e^tau K^theta) primitive with the same remaining contract. + """ + require(0 < tau < 1 and 0 <= sigma < 1 and 0 < beta < 1 and c > 0, + 'Invalid recurrence parameters') + theta = tau if theta is None else theta + require(theta >= 0, 'Negative spacing exponent is not supported') + internal = tau+(1-beta)*max(sigma-tau, Q(0))+theta*c + leaf = sigma+beta*(1-sigma) + return dict(internal=internal, leaf=leaf, layer=max(internal, leaf), + theta=theta, hypothetical=theta != tau) + + +def check_parameters(p, g, *, hypothetical_theta=None): + """Check the stated extensions, without relaxing the published checker.""" + require(g == guard(g['beta'],g['zeta'],g['h']), 'Guard certificate was altered') + require(p.beta == g['beta'] and p.C1 == g['C1'], 'Guard/parameter mismatch') + require(1-p.tau <= BIT_SAVING, 'Preparation retains the published bit saving') + require(1-p.sigma < complex_saving_bounds(g['h'])[0], + 'Complex exponent is not supported by the chosen motif') + exp = packed_exponents(p.tau, p.sigma, p.beta, p.c, theta=hypothetical_theta) + slacks = constraints(p, layout_model='nonadjacent', assembly_model='tight-gaussian') + slacks['packed_overhead'] = p.lam-exp['internal'] + for name, slack in slacks.items(): + require(slack > 0, 'Failed preparation constraint: '+name) + gs = margins(p, layout_model='nonadjacent', assembly_model='tight-gaussian') + require(min(gs.values()) > p.kappa, 'No strict final margin') + return dict(status=('HYPOTHETICAL SPARSE PRIMITIVE; NOT A MULTIPLICATION RESULT' + if exp['hypothetical'] else + 'Existing packed routine; conditional preparation estimates'), + parameters=vars(p), guard=g, recurrence=exp, + constraint_slacks=slacks, margins=gs, minimum_margin=min(gs.values())) + + +def complex_saving_bounds(h): + n = network(h) + eta = n['eta_c'] + require(0 < eta < Q(1, 2), 'Complex deficit must be positive') + lo, hi = log_ratio_bounds(1/(1-eta), terms=3) + dlo, dhi = log_integer_bounds(n['m']) + return lo/dhi, hi/dlo + + +def complex_search(): + # L_c3h(h+1) iff h^2-21h-16>0, hence integer h>=22. + bounds = {h: complex_saving_bounds(h) for h in range(22, 200)} + winner = max(bounds, key=lambda h: bounds[h][0]) + lo, hi = bounds[winner] + require(all(lo > b[1] for h, b in bounds.items() if h != winner), + 'Finite winner not separated') + n200 = network(200) + # eta_c<2/(3*z_c*m), log(m)>1; every factor increases for h>=200. + tail = Q(2, 3*n200['zc']*n200['m']-2) + require(log_integer_bounds(n200['m'])[0] > 1, 'Tail log denominator failed') + require(lo > tail, 'Tail could improve the result') + n = network(winner) + certified = Q(418, 10**12) + _, log_hi = log_integer_bounds(n['m']) + require(n['eta_c'] > certified*log_hi, 'Chosen simple complex saving failed') + require(n['Lc'] < n['N'] and 2*n['Lc'] >= n['N'], + 'Expected the complex-only admissibility range') + require(n['sc'] < n['m']**5, 'Guard requires a different depth bound') + fixed50 = Q(169, 10**13) + require(network(50)['eta_c'] > fixed50*log_integer_bounds(50**3)[1], + 'Fixed-h=50 saving failed') + return dict(status='Conditional complex interface; separate-arity integration not patched', + winner_h=winner, admissible_integer_h_minimum=22, + saving_lower=lo, saving_upper=hi, certified_saving=certified, + counts={k:n[k] for k in ('h','m','v','N','Wc','sc','Lc','eta_c')}, + fixed_h50_saving=fixed50, tail_start=200, tail_upper=tail, + finite_enclosures={str(h):dict(lower=b[0],upper=b[1]) for h,b in bounds.items()}, + scope='Original complex motif only, all integer h>=22; no shared bit positivity requirement. Written interface audit required, not a formal proof.') + + +def scenarios(): + a = BIT_SAVING + epsilon = Q(199,1000) + # The published numerical choice remains valid under the generalized proof. + beta = Q(999,1000) + g = guard(beta) + existing = Parameters(1-a, 1-Q(1,10**11), epsilon, beta*a, + 1-(1+beta)*a*a/2, 1-beta*a*a, Q(1,2**59), + beta=beta, delta=Q(1,10000), C1=g['C1']) + result = {'existing_59_control':check_parameters(existing,g)} + # These two rows assume theta=a instead of theta=tau. No such primitive + # is supplied here. They expose exact research targets and guard budgets. + for name,h,ac,beta,c,q,k in ( + ('hypothetical_39',50,Q(1,10**11),Q(1,100),Q(1,200),Q(95,10**13),39), + ('hypothetical_34',25,Q(418,10**12),Q(1,5),Q(1,10),Q(3,10**10),34)): + g = guard(beta,h=h) + exp = packed_exponents(1-a,1-ac,beta,c,theta=a) + lamp = 1-q + lam = (max(1-a,1-ac,exp['internal'])+lamp)/2 + p = Parameters(1-a,1-ac,epsilon,c,lam,lamp,Q(1,2**k), + beta=beta,delta=Q(1,10000),C1=g['C1']) + result[name] = check_parameters(p,g,hypothetical_theta=a) + actual = packed_exponents(p.tau,p.sigma,p.beta,p.c) + require(actual['internal'] > 1, 'Hypothetical target accidentally uses an existing bound') + result[name]['existing_primitive_internal_exponent'] = actual['internal'] + result[name]['missing_hypothesis'] = 'Uniform fixed-tape O(V f^(1-a) K^a) selected-bit primitive, up to fixed powers of log(p) only, including descriptors, exceptional repair, and dirty-scratch restoration.' + return result + + +def certificate(): + return dict(status='PREPARATION PASS; published headline remains conditional 2^-59', + upstream_commit=verify_sources(), complex_family=complex_search(), + scenarios=scenarios(), + verification_boundary='Exact arithmetic and finite recurrence checks accompany written proofs. Sparse scenarios are unproved design targets, not certificates of new algorithms.') + + +def serializable(value): + if isinstance(value,Q): + return str(value) + if isinstance(value,dict): + return {k:serializable(v) for k,v in value.items()} + if isinstance(value,(list,tuple)): + return [serializable(v) for v in value] + return value + + +if __name__ == '__main__': + result = certificate() + (ROOT/'certificates/layer-preparation.json').write_text( + json.dumps(serializable(result),indent=2,sort_keys=True)+'\n', encoding='utf-8', newline='\n') + print('PASS preparation estimates; complex-family optimum h='+str(result['complex_family']['winner_h'])) + print('Published result remains 2^-59. Sparse targets 2^-39 and 2^-34 remain hypothetical.') diff --git a/research/pr946-pin-migration/inputs/pr946/scripts/search_network.py b/research/pr946-pin-migration/inputs/pr946/scripts/search_network.py new file mode 100644 index 0000000000..237c97caa4 --- /dev/null +++ b/research/pr946-pin-migration/inputs/pr946/scripts/search_network.py @@ -0,0 +1,105 @@ +#!/usr/bin/env python3 +"""Certify the best shared recurrence exponent within the generalized h family. + +Uses rational enclosures of logarithms, plus a tail bound for all h>=200. +The result concerns the counting formulas, conditional on the network proof. +""" +from fractions import Fraction as Q +import json +from pathlib import Path +from certify import network, require + +ROOT = Path(__file__).resolve().parents[1] + + +def log_ratio_bounds(x, terms=24): + """Bounds for log(x), 1 <= x <= 2, by the atanh series.""" + require(1 <= x <= 2, "Log series expects 1<=x<=2") + z = (x-1)/(x+1) + lower = 2*sum((z**(2*j+1)/Q(2*j+1) for j in range(terms)), Q(0)) + tail = 2*z**(2*terms+1)/((2*terms+1)*(1-z*z)) + return lower, lower+tail + + +def log_integer_bounds(m): + k = m.bit_length()-1 + lo2, hi2 = log_ratio_bounds(Q(2)) + lo, hi = log_ratio_bounds(Q(m, 2**k)) + return k*lo2+lo, k*hi2+hi + + +def saving_bounds(n, bit_only=False): + eta = n["eta_b"] if bit_only else min(n["eta_b"], n["eta_c"]) + require(0 < eta < Q(1, 2), "Need a positive small rank deficit") + # Shared exponent saving is min(-log(1-eta_b),-log(1-eta_c))/log(m). + lo_num, hi_num = log_ratio_bounds(1/(1-eta), terms=3) + lo_den, hi_den = log_integer_bounds(n["m"]) + return lo_num/hi_den, hi_num/lo_den + + +def search(bit_only=False): + bounds = {} + rejected = [] + for h in range(7, 200): + if h == 9: + rejected.append(h) + continue + n = network(h) + if 2*n["Lb"] >= n["N"] or 2*n["Lc"] >= n["N"]: + rejected.append(h) + continue + bounds[h] = saving_bounds(n, bit_only=bit_only) + winner = max(bounds, key=lambda h: bounds[h][0]) + lo, hi = bounds[winner] + require(all(lo > b[1] for h, b in bounds.items() if h != winner), + "Enclosures do not separate a unique winner") + # eta_b < 1/(3*z_b*m), and -log(1-eta_b) < eta_b/(1-eta_b). + # For h>=200, z_b and m increase and log(m)>1. This bounds ALL the tail. + n200 = network(200) + tail_upper = Q(1, 3*n200["zb"]*n200["m"]-1) + require(lo > tail_upper, "Tail could contain a better network") + dyadic_power = 1 + while Q(1, 2**dyadic_power) >= lo: + dyadic_power += 1 + require(hi < Q(1, 2**(dyadic_power-1)), "Cannot certify optimal dyadic saving") + return { + "scope": ("Bit-network saving alone" if bit_only else "Common tau=sigma saving") + + "; generalized counting formulas, construction conditional", + "winner_h": winner, + "saving_lower": str(lo), "saving_upper": str(hi), + "largest_certified_dyadic_saving": f"2^-{dyadic_power}", + "tail_start": 200, "tail_saving_upper": str(tail_upper), + "excluded_h": rejected, + "finite_enclosures": {str(h): {"lower": str(b[0]), "upper": str(b[1])} + for h, b in bounds.items()}, + } + + +def parameter_ceiling(): + """Upper bound for kappa even with variable beta and separate sigma. + + Put a=1-tau. The final g4>0 gives epsilon Q(99, 100)*upper, "Witness below 99% of ceiling") + return {"bit_network_search": result, "kappa_upper": str(upper), + "simple_kappa_upper": str(Q(5838, 10**36)), + "witness": str(witness), "witness_fraction_of_upper": str(witness/upper), + "next_dyadic_excluded": "2^-107", + "scope": "Seven-margin accounting and stated network rank bounds; not all algorithms"} + + +if __name__ == "__main__": + result = search() + result["parameter_ceiling"] = parameter_ceiling() + path = ROOT / "certificates/network-search.json" + path.parent.mkdir(exist_ok=True) + path.write_text(json.dumps(result, indent=2, sort_keys=True)+"\n", encoding='utf-8', newline='\n') + print(f"Certified h={result['winner_h']} best within the stated counting family,") + print(f"including all h>=200 by a tail bound; dyadic saving {result['largest_certified_dyadic_saving']}") diff --git a/research/pr946-pin-migration/inputs/pr946/scripts/shared_point_network.py b/research/pr946-pin-migration/inputs/pr946/scripts/shared_point_network.py new file mode 100644 index 0000000000..1b211bfa8f --- /dev/null +++ b/research/pr946-pin-migration/inputs/pr946/scripts/shared_point_network.py @@ -0,0 +1,66 @@ +#!/usr/bin/env python3 +"""Exact conditional witness for sharing across common-point groups.""" +from fractions import Fraction as Q +from math import comb +from pathlib import Path +import json + +from certify import A, LOG_BOUND, Parameters, certify_parameters, require, verify_sources +from search_network import log_integer_bounds +from shared_point_circuit import SharedPointCircuit + +ROOT=Path(__file__).resolve().parents[1] +BIT_SAVING=Q(203,10**11) +KAPPA=Q(13,2**66) + + +def counts(h=46,circuit=None): + require(h>=6 and h%2==0,'Even ground size required') + c=circuit or SharedPointCircuit(h) + require(c.h==h,'Mismatched circuit') + v=comb(h,3);N=v**3;m=h**3;R=c.additions+len(c.outputs) + W=2*N+2*v*v*(R+h);L=3*v*v*h*h;D=N-2*L + return dict(h=h,v=v,N=N,m=m,side_roles_per_invocation=R, + W=W,L=L,D=D,s=W*m-D,eta=Q(D,W*m)) + + +def parameters(): + a=BIT_SAVING + return Parameters(1-a,1-A,Q(1,21),9*a/10,1-19*a*a/20, + 1-9*a*a/10,KAPPA,beta=Q(9,10)) + + +def certificate(): + c=SharedPointCircuit(46);n=counts(circuit=c) + symbolic=c.verify();frames=c.verify_frames() + _,log_hi=log_integer_bounds(n['m']) + require(log_hiBIT_SAVING*LOG_BOUND,'Insufficient saving') + witness=certify_parameters(parameters(),generalized_beta=True,strict_margin=True, + layout_model='nonadjacent') + require(Q(witness['minimum_margin'])==3*BIT_SAVING**2/70,'Wrong minimum') + # Necessary bound for this particular circuit and downstream constraints. + log_lo,_=log_integer_bounds(n['m']) + a_upper=n['eta']/((1-n['eta'])*log_lo) + ceiling=a_upper*a_upper/(20*(1-a_upper)) + require(ceilingQ(1,2**59),'Invalid target saving') + budget=n['D']/(2*n['v']**2*n['m']*target_a*LOG_BOUND)-n['v']-n['h'] + return dict(status='CONDITIONAL 13*2^-66 WITNESS; frame-transfer proof supplied separately', + upstream_commit=verify_sources(),bit_counts={k:str(v) for k,v in n.items()}, + circuit=symbolic,frames=frames,bit_saving=str(BIT_SAVING), + complex_saving_unchanged=str(A),log_m_upper=str(LOG_BOUND), + deficit_slack=str(n['eta']-BIT_SAVING*LOG_BOUND),witness=witness, + exact_circuit_kappa_upper=str(ceiling), + target_59=dict(bit_saving=str(target_a), + sufficient_maximum_integer_side_roles=(budget.numerator-1)//budget.denominator), + scope='Conditional on the written source-span/complement-frame transfer and unchanged upstream interfaces; no general optimality claim.') + + +if __name__=='__main__': + result=certificate() + (ROOT/'certificates/shared-point-network.json').write_text(json.dumps(result,indent=2,sort_keys=True)+'\n', encoding='utf-8', newline='\n') + print('PASS conditional shared-point witness 13*2^-66; minimum',result['witness']['minimum_margin']) + print(result['bit_counts']) + print('Target 59:',result['target_59']) diff --git a/research/pr946-pin-migration/replay.py b/research/pr946-pin-migration/replay.py new file mode 100644 index 0000000000..326d9caba3 --- /dev/null +++ b/research/pr946-pin-migration/replay.py @@ -0,0 +1,256 @@ +#!/usr/bin/env python3 +"""Offline PR946 source-pin conflict and source-preserving PR950 replay. + +Python 3.11+; standard library only. Every audit/admission uses a fresh isolated +interpreter and a disposable source closure. No Git command or network access +is needed. The vendored proposal bytes are checked against batch952's original +content-coverage record; none are imported or executed in the working tree. +""" +import argparse +import hashlib +import json +from pathlib import Path, PurePosixPath +import platform +import subprocess +import sys +import tempfile +import time + +HERE = Path(__file__).resolve().parent +ROOT = HERE.parents[1] +PACKAGE = 'research/central-factor-packed' +MANIFEST = PACKAGE + '/SOURCES.json' +COVERAGE = 'research/community-batch952-audit/CONTENT-COVERAGE.json' +BASE = '407d52ff15b2217b6e22bce44728b4c3907b6515' +PROPOSAL = 'b6e22dbf548d72f18b722ccb6c2ea8e3d9df6ac1' +MANIFEST_SHA256 = 'cc1165946c6469f8873ad4fcf8be6698b210411c300314dde8a0319f9b1ad7df' +COVERAGE_SHA256 = '5a50ca8c71f1d02bf4bae64f1a5e23eae9168e4e5c592358f3d744ad2be7e76a' +CONFLICTS = ( + 'certificates/dyadic-central-factor.json', + 'scripts/audit_complex_centers.py', + 'scripts/certify.py', + 'scripts/complex_compression.py', + 'scripts/paired_network.py', + 'scripts/prepare_layers.py', + 'scripts/search_network.py', + 'scripts/shared_point_network.py', +) +ADMIT = ( + 'import json,runpy,sys; ' + 'p=runpy.run_path(sys.argv[1])["admit_sources"](); ' + 'print(json.dumps({"status":"PASS_SOURCE_ADMISSION",' + '"source_files":len(p["files"])}))' +) + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def sha(raw): + return hashlib.sha256(raw).hexdigest() + + +def pinned_bytes(path, expected): + raw = path.read_bytes() + require(sha(raw) == expected, 'Replay input pin mismatch: ' + str(path)) + return raw + + +def safe_path(root, name): + relative = PurePosixPath(name) + require(not relative.is_absolute() and '..' not in relative.parts and + '\\' not in name and ':' not in name, 'Invalid relative path: ' + name) + return root.joinpath(*relative.parts) + + +def write(root, name, raw): + path = safe_path(root, name) + path.parent.mkdir(parents=True, exist_ok=True) + path.write_bytes(raw) + + +def closure_hashes(root): + return {path.relative_to(root).as_posix(): sha(path.read_bytes()) + for path in sorted(root.rglob('*')) if path.is_file()} + + +def invoke(root, admission=False, rejected_path=None): + verifier = str(root / PACKAGE / 'verify.py') + arguments = ['-c', ADMIT, verifier] if admission else [verifier] + started = time.perf_counter() + process = subprocess.run( + [sys.executable, '-I', '-B', *arguments], cwd=root, + capture_output=True, text=True, encoding='utf-8', timeout=120) + elapsed = time.perf_counter() - started + if rejected_path is not None: + expected = 'ValueError: Source pin mismatch: ' + rejected_path + last_line = process.stderr.strip().splitlines()[-1:] + require(process.returncode != 0 and last_line == [expected], + 'Expected exact source-admission rejection for ' + rejected_path + + ', got exit ' + str(process.returncode) + ': ' + process.stderr) + require(not process.stdout.strip(), 'Rejected replay emitted a result') + return dict(status='EXPECTED_SOURCE_PIN_REJECTION', + invocation='admission' if admission else 'full_audit', + rejected_path=rejected_path, exception=expected, + process_exit_code=process.returncode, wall_seconds=elapsed) + require(process.returncode == 0, + 'Original/restored replay failed: ' + process.stderr) + result = json.loads(process.stdout) + expected_status = 'PASS_SOURCE_ADMISSION' if admission else 'PASS_CENTRAL_FACTOR_PACKED' + require(result['status'] == expected_status, 'Unexpected replay status') + require(result['source_files'] == 43, 'Unexpected inherited source count') + if not admission: + require(result['scope'] == 'complete_historical_audit' and + result['engine'] == 'packed' and + result['coefficients_checked'] == 2600**2 and + result['source_manifest_sha256'] == MANIFEST_SHA256, + 'Full historical replay result is incomplete') + result['wall_seconds'] = elapsed + if process.stderr.strip(): + result['interpreter_diagnostics'] = process.stderr.strip().splitlines() + return result + + +def replay(scratch_parent=None): + require(__debug__, 'Run this replay without Python -O') + started = time.perf_counter() + manifest_raw = pinned_bytes(ROOT / MANIFEST, MANIFEST_SHA256) + coverage_raw = pinned_bytes(ROOT / COVERAGE, COVERAGE_SHA256) + pins = json.loads(manifest_raw) + coverage = json.loads(coverage_raw)['pull_requests']['946'] + require(coverage['head'] == PROPOSAL and coverage['changed_files'] == 165, + 'Unexpected PR946 coverage record') + records = {item['source_path']: item for item in coverage['files']} + require(len(records) == 165, 'Duplicate or missing PR946 coverage records') + overlaps = tuple(sorted(set(pins['files']) & records.keys())) + require(overlaps == CONFLICTS, 'PR946 / PR950 overlap set changed') + original = {name: pinned_bytes(safe_path(ROOT, name), expected) + for name, expected in pins['files'].items()} + original[MANIFEST] = manifest_raw + for name, expected in pins['adapter_files'].items(): + full_name = PACKAGE + '/' + name + original[full_name] = pinned_bytes(safe_path(ROOT, full_name), expected) + require(len(original) == 46, 'Unexpected complete closure size') + proposed = {} + input_records = [] + for name in overlaps: + record = records[name] + require(record['action'] == 'pending', 'Proposal already integrated: ' + name) + raw = pinned_bytes(safe_path(HERE / 'inputs/pr946', name), + record['source_sha256']) + require(raw != original[name], 'Expected actual byte conflict: ' + name) + proposed[name] = raw + input_records.append(dict(path=name, historical_sha256=sha(original[name]), + proposed_sha256=sha(raw), + original_bytes=len(original[name]), proposed_bytes=len(raw))) + expected_receipt = pins['files']['certificates/dyadic-central-factor.json'] + scratch_parent = Path(scratch_parent or tempfile.gettempdir()).resolve() + require(scratch_parent.is_dir(), 'Scratch parent must be an existing directory') + with tempfile.TemporaryDirectory(prefix='pr946-pin-migration-', + dir=scratch_parent) as temporary: + root = Path(temporary).resolve() + require(root.parent == scratch_parent, 'Unexpected temporary directory location') + for name, raw in original.items(): + write(root, name, raw) + original_hashes = closure_hashes(root) + original_admission = invoke(root, admission=True) + original_audit = invoke(root) + require(original_audit['receipt_sha256'] == expected_receipt, + 'Original receipt SHA256 mismatch') + require(closure_hashes(root) == original_hashes, 'Original audit mutated its inputs') + + # Isolate every conflict; failure on the first combined pin does not + # demonstrate admission sensitivity to the remaining seven inputs. + controls = [] + for name, raw in proposed.items(): + write(root, name, raw) + try: + controls.append(invoke(root, admission=True, rejected_path=name)) + finally: + write(root, name, original[name]) + require(closure_hashes(root) == original_hashes, + 'Single-file control did not restore the closure') + + for name, raw in proposed.items(): + write(root, name, raw) + overlaid_hashes = closure_hashes(root) + changed = sorted(name for name in original_hashes + if original_hashes[name] != overlaid_hashes.get(name)) + require(changed == list(CONFLICTS) and + overlaid_hashes.keys() == original_hashes.keys(), + 'Overlay changed more than the eight proposed inputs') + first_mismatch = next(name for name in pins['files'] if name in proposed) + overlay_admission = invoke(root, admission=True, rejected_path=first_mismatch) + overlay_audit = invoke(root, rejected_path=first_mismatch) + require(closure_hashes(root) == overlaid_hashes, 'Rejected audit mutated inputs') + + # Restoring generators alone is insufficient: retain the proposed + # receipt after restoring all seven scripts, and demand rejection. + fixture = 'certificates/dyadic-central-factor.json' + for name in proposed: + if name != fixture: + write(root, name, original[name]) + partial_hashes = closure_hashes(root) + require([name for name in original_hashes + if original_hashes[name] != partial_hashes[name]] == [fixture], + 'Receipt-only control changed unexpected inputs') + receipt_only_control = invoke(root, rejected_path=fixture) + require(closure_hashes(root) == partial_hashes, + 'Receipt-only rejection mutated inputs') + + # Keep the original bytes and the original verifier/manifest/fixture. + # Restoring this whole source namespace models an archival closure. + for name in proposed: + write(root, name, original[name]) + require(closure_hashes(root) == original_hashes, 'Historical closure not restored') + restored_admission = invoke(root, admission=True) + restored_audit = invoke(root) + require(restored_audit['receipt_sha256'] == expected_receipt, + 'Restored receipt SHA256 mismatch') + require(closure_hashes(root) == original_hashes, 'Restored audit mutated inputs') + + return dict( + status='PASS_PR946_PIN_MIGRATION_REPLAY', repository_base=BASE, + proposal_head=PROPOSAL, python=sys.version, platform=platform.platform(), + source_manifest_sha256=MANIFEST_SHA256, content_coverage_sha256=COVERAGE_SHA256, + historical_input_mode='hash-verified working-tree snapshot', + inherited_source_files=43, copied_closure_files=46, + preserved_package_files={name: original_hashes[name] for name in + (MANIFEST, PACKAGE + '/packed.py', PACKAGE + '/verify.py')}, + proposed_inputs=input_records, original_admission=original_admission, + original_audit=original_audit, single_file_controls=controls, + overlay_changed_paths=changed, overlay_admission=overlay_admission, + overlay_full_audit=overlay_audit, receipt_only_control=receipt_only_control, + restored_admission=restored_admission, + restored_audit=restored_audit, historical_closure_byte_identical=True, + full_receipt_byte_identical=True, receipt_sha256=expected_receipt, + source_and_adapter_checks_unchanged=True, + limits=[ + 'Only eight PR946 inputs in PR950 closure are overlaid; not the full 165-file patch.', + 'Proposal bytes fail source admission and are never executed by the historical audit.', + 'Restoration demonstrates retention of historical inputs, not a re-pinned migrated verifier.', + 'No semantic-equivalence, selected-frontier or whole-repository claim is made.', + ], seconds=time.perf_counter() - started) + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument('--output', type=Path, + help='Write a new JSON record; existing files are never replaced') + parser.add_argument('--scratch-parent', type=Path, + help='Existing writable parent for disposable closure (default: system temp)') + args = parser.parse_args() + if args.output is not None and args.output.exists(): + parser.error('Output already exists') + result = replay(args.scratch_parent) + encoded = json.dumps(result, indent=2, sort_keys=True) + '\n' + if args.output is not None: + with args.output.open('x', encoding='utf-8', newline='\n') as stream: + stream.write(encoded) + print(encoded, end='') + + +if __name__ == '__main__': + main() diff --git a/research/pr946-pin-migration/test_inventory.py b/research/pr946-pin-migration/test_inventory.py new file mode 100644 index 0000000000..b753a86cd1 --- /dev/null +++ b/research/pr946-pin-migration/test_inventory.py @@ -0,0 +1,51 @@ +"""Adversarial inputs for the literal provenance inventory; no repository edits.""" +import importlib.util +from pathlib import Path +import unittest + +spec = importlib.util.spec_from_file_location("pin_inventory", Path(__file__).with_name("verify.py")) +inventory = importlib.util.module_from_spec(spec) +spec.loader.exec_module(inventory) +PATH = "scripts/audit_complex_centers.py" +OLD = "a" * 64 +NEW = "b" * 64 + + +class InventoryControls(unittest.TestCase): + def test_escaped_path_and_large_number_do_not_hide_pin(self): + # Five actual historical JSON files exceeded Python's default digit + # limit. Escaping the slash must not defeat coverage either. + raw = ('{"scripts\\u002faudit_complex_centers.py":"' + OLD + + '","unrelated_integer":' + "9" * 15000 + '}').encode() + refs = list(inventory.references(inventory.scan_json(raw), {PATH})) + self.assertEqual([(r[0], r[1]) for r in refs], [(PATH, OLD)]) + + def test_numeric_digest_is_not_a_string_pin(self): + raw = ('{"' + PATH + '":' + '1' * 64 + '}').encode() + self.assertEqual(list(inventory.references(inventory.scan_json(raw), {PATH})), []) + + def test_duplicate_key_fails_instead_of_hiding_old_pin(self): + raw = ('{"' + PATH + '":"' + OLD + '","' + PATH + '":"' + NEW + '"}').encode() + with self.assertRaisesRegex(ValueError, "Duplicate JSON key"): + inventory.scan_json(raw) + + def test_other_digest_is_not_a_newly_introduced_conflict(self): + self.assertEqual(inventory.classify("c" * 64, OLD, NEW), "other_digest") + self.assertEqual(inventory.classify(NEW, OLD, NEW), "proposed_bytes_reference") + self.assertEqual(inventory.classify(OLD, OLD, NEW), "old_bytes_reference") + self.assertEqual(inventory.classify(OLD, OLD, OLD), "unchanged") + + def test_same_digest_with_different_path_is_not_dependency(self): + obj = {"scripts/unrelated.py": OLD, "message": PATH, "sha256": OLD} + self.assertEqual(list(inventory.references(obj, {PATH})), []) + + def test_nested_records_have_precise_json_pointers(self): + obj = {"x/y~": [{"repository_path": PATH, "sha256": OLD}, + {PATH: {"sha256": NEW}}]} + refs = list(inventory.references(obj, {PATH})) + self.assertEqual({r[2] for r in refs}, { + "/x~1y~0/0/sha256", "/x~1y~0/1/scripts~1audit_complex_centers.py/sha256"}) + + +if __name__ == "__main__": + unittest.main() diff --git a/research/pr946-pin-migration/verify.py b/research/pr946-pin-migration/verify.py new file mode 100644 index 0000000000..767c552531 --- /dev/null +++ b/research/pr946-pin-migration/verify.py @@ -0,0 +1,216 @@ +#!/usr/bin/env python3 +"""Reconcile PR946's complete inventory with literal JSON hash references. + +This is a historical, exact-byte inventory, not a general dependency parser. +All scanned data comes from BASE's Git tree, never mutable working-tree JSON. +Only the optional --check-proposal requires the independently fetched PR head. +""" +import argparse +from collections import Counter +import hashlib +import json +from pathlib import Path +import re +import subprocess +import sys + +ROOT = Path(__file__).resolve().parents[2] +HERE = Path(__file__).resolve().parent +BASE = "407d52ff15b2217b6e22bce44728b4c3907b6515" +HEAD = "b6e22dbf548d72f18b722ccb6c2ea8e3d9df6ac1" +PARENT = "91a2094f2e022930069e8cfdc810a3ea1b81cd09" +COVERAGE = "research/community-batch952-audit/CONTENT-COVERAGE.json" +SHA256 = re.compile(r"[0-9a-f]{64}\Z") + + +def require(condition, message): + if not condition: + raise ValueError(message) + + +def sha(data): + return hashlib.sha256(data).hexdigest() + + +def git(*args): + return subprocess.check_output(["git", "-C", str(ROOT), *args]) + + +class Blobs: + """Read only named immutable Git blobs, with one persistent subprocess.""" + def __enter__(self): + self.proc = subprocess.Popen(["git", "-C", str(ROOT), "cat-file", "--batch"], + stdin=subprocess.PIPE, stdout=subprocess.PIPE) + return self + + def read(self, name): + require("\n" not in name and "\r" not in name, "Invalid Git object name") + self.proc.stdin.write(name.encode("utf-8") + b"\n") + self.proc.stdin.flush() + header = self.proc.stdout.readline().split() + require(len(header) == 3 and header[1] == b"blob", "Missing/non-blob source: " + name) + count = int(header[2]) + data = self.proc.stdout.read(count) + require(len(data) == count and self.proc.stdout.read(1) == b"\n", "Truncated blob") + return data + + def __exit__(self, *_): + self.proc.stdin.close() + self.proc.stdout.close() + self.proc.wait() + + +def tree(commit): + result = {} + for entry in git("ls-tree", "-r", "-z", commit).split(b"\0"): + if not entry: + continue + meta, path = entry.split(b"\t", 1) + mode, kind, oid = meta.decode("ascii").split() + if kind == "blob": + result[path.decode("utf-8")] = (mode, oid) + return result + + +def pointer(parts): + return "/" + "/".join(str(p).replace("~", "~0").replace("/", "~1") for p in parts) + + +def scan_json(data): + # We inspect strings and structure only. Leaving numeric tokens as None + # avoids Python's version-dependent giant-integer digit limit and avoids + # mistaking a numeric 64-digit value for a string SHA256 reference. + def unique_pairs(pairs): + obj = {} + for key, value in pairs: + require(key not in obj, "Duplicate JSON key: " + key) + obj[key] = value + return obj + return json.loads(data, parse_int=lambda _: None, parse_float=lambda _: None, + object_pairs_hook=unique_pairs) + + +def references(obj, changed, parts=()): + """Closed grammar: path->hex, path->{sha256:hex}, and explicit records. + + A result means exactly that these strings occur together in this shape. + It does not establish that a verifier consumes the record, or that its + digest semantics are raw bytes rather than a canonical representation. + """ + if isinstance(obj, dict): + for key, value in obj.items(): + if key in changed: + if isinstance(value, str) and SHA256.fullmatch(value): + yield key, value, pointer(parts + (key,)), "path_to_digest" + elif isinstance(value, dict): + digest = value.get("sha256") + if isinstance(digest, str) and SHA256.fullmatch(digest): + yield key, digest, pointer(parts + (key, "sha256")), "path_to_sha256_record" + yield from references(value, changed, parts + (key,)) + for path_key, digest_key in (("path", "sha256"), ("repository_path", "sha256"), + ("source_path", "source_sha256"), ("file", "sha256")): + path, digest = obj.get(path_key), obj.get(digest_key) + if isinstance(path, str) and path in changed and isinstance(digest, str) and SHA256.fullmatch(digest): + yield path, digest, pointer(parts + (digest_key,)), path_key + "_record" + elif isinstance(obj, list): + for i, value in enumerate(obj): + yield from references(value, changed, parts + (i,)) + + +def location_kind(path): + if any(part in path.split("/") for part in ("submitted", "submitted-context", "before-integration", "vendor")): + return "archived_or_vendor" + if path.startswith("certificates/"): + return "certificate" + if path.startswith("docs/"): + return "review_document" + return "research_or_other" + + +def classify(digest, before, after): + if before == after: + return "unchanged" if digest == before else "other_digest" + if digest == before: + return "old_bytes_reference" + if digest == after: + return "proposed_bytes_reference" + return "other_digest" + + +def inventory(check_proposal=False): + files = tree(BASE) + with Blobs() as blobs: + coverage_raw = blobs.read(files[COVERAGE][1]) + cov = json.loads(coverage_raw)["pull_requests"]["946"] + require(cov["head"] == HEAD and cov["changed_files"] == len(cov["files"]) == 165, + "Unexpected frozen PR946 inventory") + proposed = {row["source_path"]: row["source_sha256"] for row in cov["files"]} + require(len(proposed) == 165, "Duplicate proposed path") + require(all(SHA256.fullmatch(d) for d in proposed.values()), "Invalid proposed digest") + old = {path: sha(blobs.read(files[path][1])) if path in files else None for path in proposed} + changes = [{"path": p, "base_blob": files[p][1] if p in files else None, + "base_sha256": old[p], "proposed_sha256": proposed[p], + "state": "added" if p not in files else ("same_bytes" if old[p] == proposed[p] else "different_bytes")} + for p in sorted(proposed)] + if check_proposal: + require(git("rev-parse", HEAD + "^").decode().strip() == PARENT, "Proposal parent mismatch") + actual = set(git("diff", "--name-only", "-z", PARENT, HEAD).decode().strip("\0").split("\0")) + require(actual == set(proposed), "Proposal diff differs from 165-file inventory") + for path, digest in proposed.items(): + require(sha(blobs.read(HEAD + ":" + path)) == digest, "Proposal payload mismatch: " + path) + rows, scanned, parsed, failed = [], [], [], [] + scanned_bytes = 0 + for path, (mode, oid) in sorted(files.items()): + if not path.endswith(".json") or mode == "120000": + continue + data = blobs.read(oid) + scanned.append(path) + scanned_bytes += len(data) + try: + obj = scan_json(data) + except (ValueError, UnicodeError): + failed.append(path) + continue + parsed.append(path) + for target, digest, ptr, schema in references(obj, proposed): + rows.append({"consumer": path, "consumer_blob": oid, "pointer": ptr, + "schema": schema, "target": target, "recorded_sha256": digest, + "classification": classify(digest, old[target], proposed[target]), + "location_kind": location_kind(path)}) + rows.sort(key=lambda r: (r["consumer"], r["pointer"], r["target"], r["schema"])) + old_rows = [r for r in rows if r["classification"] == "old_bytes_reference"] + conflicts = sorted({r["target"] for r in old_rows}) + return {"schema": "pr946-literal-pin-impact-v1", "base_commit": BASE, + "base_tree": git("rev-parse", BASE + "^{tree}").decode().strip(), + "proposal_head": HEAD, "proposal_parent": PARENT, + "inventory_source": COVERAGE, "inventory_sha256": sha(coverage_raw), + "scope": "All tracked regular JSON files at BASE; closed literal path/digest grammar. References are not proven runtime dependencies.", + "scan": {"json_files": len(scanned), "json_bytes": scanned_bytes, + "parsed_json": len(parsed), "parse_failures": failed, + "scanned_paths_sha256": sha(("\n".join(scanned) + "\n").encode())}, + "summary": {"proposed_files": len(changes), "change_states": dict(sorted(Counter(r["state"] for r in changes).items())), + "reference_classes": dict(sorted(Counter(r["classification"] for r in rows).items())), + "old_reference_locations": dict(sorted(Counter(r["location_kind"] for r in old_rows).items())), + "old_reference_consumers": len({r["consumer"] for r in old_rows}), + "old_reference_targets": len(conflicts)}, + "old_reference_targets": conflicts, "changes": changes, "references": rows} + + +def main(): + parser = argparse.ArgumentParser(description=__doc__) + parser.add_argument("--check-proposal", action="store_true", help="Additionally check all actual PR Git blobs and its complete diff") + parser.add_argument("--write", type=Path, help="Write a new deterministic inventory; refuses overwrite") + args = parser.parse_args() + result = inventory(args.check_proposal) + if args.write: + with args.write.open("x", encoding="utf-8", newline="\n") as stream: + json.dump(result, stream, sort_keys=True, indent=2) + stream.write("\n") + else: + expected = json.loads((HERE / "EXPECTED.json").read_text(encoding="utf-8")) + require(result == expected, "Historical inventory differs from EXPECTED.json") + print("PASS_PR946_PIN_INVENTORY " + json.dumps(result["summary"], sort_keys=True)) + + +if __name__ == "__main__": + main()