{
 "what": "The self-audit of cert-machine, Phase 1 — the inventory: per register row and per record, what exists before anything is measured (the re-derive command, the standard-library verifier, the second implementation, the rerun kit's measured seconds, the per-row timing field, and whether the row is mutable under the pre-registration's class table or why not). Every field derived from the register, the kit, the kit's run record and the records; the class table is the pre-registration's. Written by tools/run-selfaudit-inventory.js.",
 "name": "selfaudit",
 "phase": 1,
 "generated": "2026-10-22T01:17:03.472Z",
 "git": "16849460",
 "preregistration": {
  "path": "notes/selfaudit-preregistration-2026-10-20.md",
  "sha256": "b799715c0f840d2a201b7a7907025137e70653095319ad8c97a3b7f8be7b23c2"
 },
 "inputs": {
  "register": {
   "path": "certs/claims-ledger.json",
   "sha256": "270094aa3c9218fa000654ae3020d388e3821b845e76647da9d429f095cd77ff",
   "rows": 132,
   "meta": {
    "date": "2026-10-06",
    "git": "a310e6e"
   }
  },
  "kit": {
   "path": "corpus/rerun-kit.json",
   "sha256": "8d276e9c3ec889d7bfaafdf8f06567f8743a9afe9437dd15d22665998ced1b5a",
   "entries": 25
  },
  "run": {
   "path": "certs/rerun-kit-run.json",
   "sha256": "415cd158cbec52f4784214abbc91845282c4143d5d8914a6ba0348887e898ee9",
   "date": "2026-10-21",
   "git": "fcff53c7",
   "machine": {
    "os": "Darwin 27.0.0",
    "cpu": "Apple M2",
    "node": "v24.14.1",
    "python": "Python 3.9.6"
   },
   "registerRows": 132
  }
 },
 "totals": {
  "records": 25,
  "rows": 132,
  "rowsDecided": 131,
  "rowsPending": 1,
  "byVerdict": {
   "CERTIFIED": 107,
   "PARTIAL": 9,
   "REFUTED": 2,
   "QUEUED": 1,
   "MIXED": 5,
   "REPAIRED": 6,
   "NEEDS DATA": 2
  },
  "byKind": {
   "none": 108,
   "narrower-scope": 8,
   "float-printed-as-exact": 1,
   "sign-slip": 1,
   "tolerance-witness": 5,
   "not-from-the-published-data": 1,
   "arithmetic-slip": 2,
   "not-the-optimum": 1,
   "wrong-quantity": 1,
   "data-not-public": 2,
   "depends-on-reading": 1,
   "checker-wider-than-definition": 1
  },
  "recordsWithRederive": 23,
  "recordsWithVerifier": 7,
  "recordsWithSecond": 1,
  "recordsWithoutRederive": [
   "certs/ai-claims-summary.json",
   "corpus/navier-stokes/audit.json"
  ],
  "rowsWithRederive": 125,
  "rowsWithVerifier": 50,
  "rowsWithSecond": 1,
  "commandsTimed": 31,
  "recordsTimed": 23,
  "recordsUntimed": [],
  "portableWallSeconds": 60,
  "recordsOverPortable": [
   {
    "record": "ledger.json",
    "seconds": 344.4,
    "rows": 1
   },
   {
    "record": "certs/horizon-ledger.json",
    "seconds": 133.9,
    "rows": 1
   },
   {
    "record": "certs/hseva-ledger.json",
    "seconds": 518.4,
    "rows": 1
   },
   {
    "record": "certs/gnnw-certificate.json",
    "seconds": 218.5,
    "rows": 1
   },
   {
    "record": "certs/polymaps-ledger.json",
    "seconds": 98,
    "rows": 8
   }
  ],
  "rowsOverPortable": 12,
  "rederiveChecksOnly": [
   "certs/hseva-ledger.json",
   "certs/design-table-audit.json",
   "certs/sumdiff-ledger.json",
   "certs/fei-ledger.json",
   "certs/sumproduct-ledger.json",
   "certs/turan-ledger.json",
   "certs/countex-ledger.json",
   "certs/horizonmath-ledger.json",
   "certs/gnnw-certificate.json",
   "certs/polymaps-ledger.json"
  ],
  "rederiveWrites": [
   "certs/erdos852-certificate.json",
   "certs/kissing-ledger.json",
   "ledger.json",
   "certs/strassen-certificate.json",
   "certs/easota-ledger.json",
   "certs/ecbench-ledger.json",
   "certs/gsm8k-ledger.json",
   "certs/horizon-ledger.json",
   "certs/mc100-alphatensor-q.json",
   "certs/mc100-alphatensor-f2.json",
   "certs/mc100-alphaevolve-nb-matmul.json",
   "certs/mc100-einstein-arena.json",
   "certs/mc100-station-v2.json"
  ],
  "rederiveByteIdentical": [],
  "rederiveNotByteIdentical": [
   "certs/erdos852-certificate.json",
   "certs/kissing-ledger.json",
   "ledger.json",
   "certs/strassen-certificate.json",
   "certs/easota-ledger.json",
   "certs/ecbench-ledger.json",
   "certs/gsm8k-ledger.json",
   "certs/horizon-ledger.json",
   "certs/mc100-alphatensor-q.json",
   "certs/mc100-alphatensor-f2.json",
   "certs/mc100-alphaevolve-nb-matmul.json",
   "certs/mc100-einstein-arena.json",
   "certs/mc100-station-v2.json"
  ],
  "rowsWithPerRowTiming": 74,
  "rowsMutable": 119,
  "rowsNotMutated": 13,
  "byFamily": {
   "erdos852": 1,
   "kissing": 11,
   "tensor": 45,
   "shapes": 28,
   "entropy": 4,
   "sumproduct": 1,
   "turan": 2,
   "countex": 14,
   "horizonmath": 3,
   "gnnw": 1,
   "polymaps": 9
  },
  "refusals": [
   {
    "id": "kiss-ganzhinov-592",
    "verdict": "QUEUED",
    "kind": "none",
    "scope": "the configuration as published, in exact arithmetic"
   },
   {
    "id": "design-table-bhaskaran-2023",
    "verdict": "NEEDS DATA",
    "kind": "data-not-public",
    "scope": "the fits are to a commercial hindcast nobody outside can re-run; against the nearest cells of the public one they are 19 OFF THE MAXIMUM, 1 OUTSIDE ITS SUPPORT — the distance between two records, not an error"
   },
   {
    "id": "horizonmath-gpt56-closed-forms",
    "verdict": "NEEDS DATA",
    "kind": "data-not-public",
    "scope": "the expressions are not published: the paper says all six discoveries \"are detailed in Appendix A\", which details three (A.1–A.3), none of these; agreement with a reference to 20 digits would not decide equality in any case"
   }
  ],
  "compositions": {
   "PARTIAL": 9,
   "MIXED": 5,
   "REPAIRED": 6
  }
 },
 "records": [
  {
   "record": "certs/ai-claims-summary.json",
   "sha256": "d5e561e3888537dad824a32b7ca4079386216a95a6f26d64bb6978601aff7f70",
   "rows": 6,
   "byVerdict": {
    "CERTIFIED": 5,
    "PARTIAL": 1
   },
   "rederive": null,
   "verifier": null,
   "second": null,
   "needs": "nothing to run",
   "timed": {
    "rederive": null,
    "verifier": null,
    "second": null
   },
   "rederiveSeconds": null,
   "untimed": false,
   "overPortable": null,
   "rederiveWrites": false,
   "rederiveByteIdentical": null,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "an aggregate of six audit lanes with no single object to mutate"
   }
  },
  {
   "record": "certs/erdos852-certificate.json",
   "sha256": "13cfc7fa212a4355139a45cba78450ed371db78d2c980b3faec09a121c024ad1",
   "rows": 1,
   "byVerdict": {
    "REFUTED": 1
   },
   "rederive": "node tools/export-erdos852-certificate.js",
   "verifier": "python3 tools/verify_erdos852.py certs/erdos852-certificate.json --sources corpus/sources",
   "second": null,
   "needs": "node for the export; python3 standard library for the verifier; corpus/sources for the pinned paper",
   "timed": {
    "rederive": {
     "seconds": 5.5,
     "status": 0,
     "sha256After": "2a2eb84b841f641551ff74a863a4c5bfbda9e376cd20b8ccd09382a41e447b39"
    },
    "verifier": {
     "seconds": 0.6,
     "status": 0,
     "sha256After": "2a2eb84b841f641551ff74a863a4c5bfbda9e376cd20b8ccd09382a41e447b39"
    },
    "second": null
   },
   "rederiveSeconds": 5.5,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": null,
   "mutation": {
    "family": "erdos852",
    "classes": "FALSE: the published digit string; the corrected enclosure's upper end raised by one unit. TRUE: the enclosure widened outward. MALFORMED: a non-numeric digit"
   }
  },
  {
   "record": "certs/kissing-ledger.json",
   "sha256": "5c823b21ac43b5bdb3ad4b91a46e909cbf86a192e4cf382e2d8c5be2b29f611f",
   "rows": 11,
   "byVerdict": {
    "CERTIFIED": 10,
    "QUEUED": 1
   },
   "rederive": "node tools/run-kissing-ledger.js",
   "verifier": null,
   "second": null,
   "needs": "node",
   "timed": {
    "rederive": {
     "seconds": 7.2,
     "status": 0,
     "sha256After": "bd66441a42aff059caa1d1db279231fd87dee40e2b1a9d9191946ce5d73d6a4f"
    },
    "verifier": null,
    "second": null
   },
   "rederiveSeconds": 7.2,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": "ms",
   "mutation": {
    "family": "kissing",
    "classes": "the seven planted classes of certs/method-eval.json (a row duplicated, doubled, a 30° sum, the zero vector = FALSE; negation, a coordinate permutation = TRUE; mixed dimensions = MALFORMED) on the register's own configurations"
   }
  },
  {
   "record": "ledger.json",
   "sha256": "4b666d3d922357659b588cf625e2ec9f8d79bef398db1d690394a2b9760a0acd",
   "rows": 1,
   "byVerdict": {
    "MIXED": 1
   },
   "rederive": "make engine",
   "verifier": null,
   "second": null,
   "needs": "node; about four minutes",
   "timed": {
    "rederive": {
     "seconds": 344.4,
     "status": 0,
     "sha256After": "ad405c31a02f7ab766ce2c9753714fc29596c97f9de1f9419269119626e7764c"
    },
    "verifier": null,
    "second": null
   },
   "rederiveSeconds": 344.4,
   "untimed": false,
   "overPortable": true,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "the engine's own ledger (the Ramanujan-audit row); an aggregate, no object to mutate"
   }
  },
  {
   "record": "certs/strassen-certificate.json",
   "sha256": "0e400efeb8a4bba99fba620dd77c6e6d4aa6eff9b8016834f0c4aa9071f8b008",
   "rows": 10,
   "byVerdict": {
    "CERTIFIED": 10
   },
   "rederive": "node tools/export-strassen-certificate.js",
   "verifier": "python3 tools/verify_strassen.py certs/strassen-certificate.json --sources corpus/sources",
   "second": null,
   "needs": "node for the export; python3 standard library for the verifier; corpus/sources for the pinned bytes",
   "timed": {
    "rederive": {
     "seconds": 0.1,
     "status": 0,
     "sha256After": "5c3f7d79c58d33d9010d82d7465a86b1ddd0d2b4d1b09094e9714522d44ec768"
    },
    "verifier": {
     "seconds": 0.3,
     "status": 0,
     "sha256After": "5c3f7d79c58d33d9010d82d7465a86b1ddd0d2b4d1b09094e9714522d44ec768"
    },
    "second": null
   },
   "rederiveSeconds": 0.1,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": null,
   "mutation": {
    "family": "tensor",
    "classes": "a tensor decomposition — FALSE: one coefficient +1; one coefficient × (1 + 10⁻⁹) as the exact decimal; a rank-1 term dropped; a term duplicated; an F₂ scheme asserted over Q (with a witness, else discarded). TRUE: the factor columns permuted together; one term's (u, v) signs flipped together. MALFORMED: a short row"
   }
  },
  {
   "record": "certs/easota-ledger.json",
   "sha256": "57f46876a7c79b0c6f7f236f0cb133e0ce896f9773cc85b36cf9d8e7fa3f627b",
   "rows": 20,
   "byVerdict": {
    "CERTIFIED": 16,
    "REPAIRED": 4
   },
   "rederive": "node tools/run-easota-ledger.js",
   "verifier": null,
   "second": null,
   "needs": "node",
   "timed": {
    "rederive": {
     "seconds": 3.2,
     "status": 0,
     "sha256After": "de4640982022f44861e5ca3b81e7d5a1ed97cd0b0ebefb47fa94331ef7e8fb2f"
    },
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    "second": null
   },
   "rederiveSeconds": 3.2,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": "ms",
   "mutation": {
    "family": "shapes",
    "classes": "an EinsteinArena shape — FALSE: the printed value moved one unit in its last digit past the bytes; a coordinate perturbed by 10⁻¹² (with a witness, else discarded). TRUE: a rigid motion the problem admits, stated per problem. MALFORMED: a coordinate missing"
   }
  },
  {
   "record": "certs/ecbench-ledger.json",
   "sha256": "cdecac8aae53d79c5803184cd12d63431a4838582950f3d833d8e520256897c8",
   "rows": 1,
   "byVerdict": {
    "MIXED": 1
   },
   "rederive": "node tools/run-ecbench-ledger.js",
   "verifier": null,
   "second": null,
   "needs": "node; about a minute",
   "timed": {
    "rederive": {
     "seconds": 6.1,
     "status": 0,
     "sha256After": "04c5d28271c0d2d9014dda88d6c52eb5f4d3552aefa87d5b2228e88af58827e1"
    },
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   },
   "rederiveSeconds": 6.1,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "an aggregate row (a benchmark's counts); no object to mutate"
   }
  },
  {
   "record": "certs/gsm8k-ledger.json",
   "sha256": "7fbcda606b601c9c2867cc6305c39906ef21e7e0a7dcd6a11285125cca8e9248",
   "rows": 1,
   "byVerdict": {
    "MIXED": 1
   },
   "rederive": "python3 tools/run-gsm8k-ledger.py",
   "verifier": null,
   "second": null,
   "needs": "python3 standard library and the instrument's own modules (instruments/gsm8k)",
   "timed": {
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     "status": 0,
     "sha256After": "0591b1b93ec66481ef89ecbbf0c77bd2ba4a954a4fc2df3e30fe31cf175619c6"
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   },
   "rederiveSeconds": 1.6,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "an aggregate row (an answer key re-decided); no object to mutate"
   }
  },
  {
   "record": "certs/horizon-ledger.json",
   "sha256": "fa5b0bac0539bf9694e6c7044a6acf0325635f18474e387d4bf56bcf49bb2315",
   "rows": 1,
   "byVerdict": {
    "MIXED": 1
   },
   "rederive": "python3 tools/run-horizon-ledger.py",
   "verifier": null,
   "second": null,
   "needs": "python3 standard library and the instrument's own modules (instruments/horizon)",
   "timed": {
    "rederive": {
     "seconds": 133.9,
     "status": 0,
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   },
   "rederiveSeconds": 133.9,
   "untimed": false,
   "overPortable": true,
   "rederiveWrites": true,
   "rederiveByteIdentical": false,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "an aggregate row (a time-horizon fit); no object to mutate"
   }
  },
  {
   "record": "certs/hseva-ledger.json",
   "sha256": "23aa58c1078c357ab77ff00337ba73667c389101b6c3192eb604b7171291bf73",
   "rows": 1,
   "byVerdict": {
    "MIXED": 1
   },
   "rederive": "node tools/run-hseva-ledger.js --check",
   "verifier": null,
   "second": null,
   "needs": "node; several minutes with workers in parallel",
   "timed": {
    "rederive": {
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     "status": 0,
     "sha256After": "f7b0379625119653b63814cff4c8efce81a12c7e4ba8b2891ed7cf21d13ff64c"
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   },
   "rederiveSeconds": 518.4,
   "untimed": false,
   "overPortable": true,
   "rederiveWrites": false,
   "rederiveByteIdentical": null,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "an aggregate row (a benchmark's marginals); no object to mutate"
   }
  },
  {
   "record": "certs/design-table-audit.json",
   "sha256": "c88a6bcd5ce5b76ef10ed8cacfb434eec190b8ce781e69f890b0de7ae21fe357",
   "rows": 1,
   "byVerdict": {
    "NEEDS DATA": 1
   },
   "rederive": "node tools/run-design-table-audit.js --check",
   "verifier": null,
   "second": null,
   "needs": "node",
   "timed": {
    "rederive": {
     "seconds": 0.3,
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    "second": null
   },
   "rederiveSeconds": 0.3,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": false,
   "rederiveByteIdentical": null,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "a NEEDS DATA row whose pin cannot resolve; no object to mutate"
   }
  },
  {
   "record": "corpus/navier-stokes/audit.json",
   "sha256": "5931f9ad48b4ed87f94ebb7f9b219bfe4ea6f8bce1bc32da740c6865ea5be766",
   "rows": 1,
   "byVerdict": {
    "CERTIFIED": 1
   },
   "rederive": null,
   "verifier": null,
   "second": null,
   "needs": "a Lean 4 toolchain at the pinned commit, for the counts the record points at",
   "timed": {
    "rederive": null,
    "verifier": null,
    "second": null
   },
   "rederiveSeconds": null,
   "untimed": false,
   "overPortable": null,
   "rederiveWrites": false,
   "rederiveByteIdentical": null,
   "perRowTimingField": null,
   "mutation": {
    "family": null,
    "classes": "a reading beside a kernel verdict; no object to mutate"
   }
  },
  {
   "record": "certs/sumdiff-ledger.json",
   "sha256": "bf8857db9f64b6508da042b5f0d4e4b30fe452f47fb14a64b701482e7ab94ac4",
   "rows": 3,
   "byVerdict": {
    "CERTIFIED": 3
   },
   "rederive": "node tools/run-sumdiff-ledger.js --check",
   "verifier": "python3 tools/verify_sumdiff.py",
   "second": null,
   "needs": "node; python3 standard library for the verifier",
   "timed": {
    "rederive": {
     "seconds": 1.2,
     "status": 0,
     "sha256After": "bf8857db9f64b6508da042b5f0d4e4b30fe452f47fb14a64b701482e7ab94ac4"
    },
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     "status": 0,
     "sha256After": "bf8857db9f64b6508da042b5f0d4e4b30fe452f47fb14a64b701482e7ab94ac4"
    },
    "second": null
   },
   "rederiveSeconds": 1.2,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": false,
   "rederiveByteIdentical": null,
   "perRowTimingField": null,
   "mutation": {
    "family": "entropy",
    "classes": "classes written in Phase 3 under the rule (FALSE with a witness, TRUE by invariance, MALFORMED by shape); a family with no admissible class is reported as not mutated (the three planted entropy classes of certs/method-eval.json exist already)"
   }
  },
  {
   "record": "certs/fei-ledger.json",
   "sha256": "ad853dabf838029896747144ee765fd418830311dc7c4b133575119d08bcf59e",
   "rows": 1,
   "byVerdict": {
    "CERTIFIED": 1
   },
   "rederive": "python3 tools/run-fei-ledger.py --check",
   "verifier": null,
   "second": null,
   "needs": "python3 standard library and instruments/fei",
   "timed": {
    "rederive": {
     "seconds": 1.5,
     "status": 0,
     "sha256After": "ad853dabf838029896747144ee765fd418830311dc7c4b133575119d08bcf59e"
    },
    "verifier": null,
    "second": null
   },
   "rederiveSeconds": 1.5,
   "untimed": false,
   "overPortable": false,
   "rederiveWrites": false,
   "rederiveByteIdentical": null,
   "perRowTimingField": null,
   "mutation": {
    "family": "entropy",
    "classes": "classes written in Phase 3 under the rule (FALSE with a witness, TRUE by invariance, MALFORMED by shape); a family with no admissible class is reported as not mutated"
   }
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   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphatensor-q-3x3x3",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphatensor-q-4x4x4",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphatensor-q-3x4x5",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphatensor-q-4x5x5",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphatensor-f2-4x4x4",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphatensor-f2-5x5x5",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "mm-alphaevolve-48-4x4x4",
   "record": "certs/strassen-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/alphaevolve.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "tensor",
   "notMutatedBecause": null
  },
  {
   "id": "ea-circles-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": 0,
   "timingField": "ms",
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-circles-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "REPAIRED",
   "kind": "tolerance-witness",
   "page": "/reports/easota.html",
   "timingMs": 0,
   "timingField": "ms",
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-heilbronn-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-heilbronn-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-mindist-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-mindist-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-overlap-haugland_2016",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-overlap-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "REPAIRED",
   "kind": "tolerance-witness",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-overlap-ttt_discover_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "REPAIRED",
   "kind": "tolerance-witness",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-overlap-together_ai_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "REPAIRED",
   "kind": "tolerance-witness",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-edges-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-edges-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-autocorr-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": 6,
   "timingField": "ms",
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-autocorr-alphaevolve_v2_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": 6,
   "timingField": "ms",
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-autocorr-ttt_discover_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": 1326,
   "timingField": "ms",
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-autocorr-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": 971,
   "timingField": "ms",
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-flat-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-flat-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-hexagons-alphaevolve_2025",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ea-hexagons-ours_2026",
   "record": "certs/easota-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/easota.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "shapes",
   "notMutatedBecause": null
  },
  {
   "id": "ecbench-counts",
   "record": "certs/ecbench-ledger.json",
   "verdict": "MIXED",
   "kind": "not-from-the-published-data",
   "page": "/reports/ec-benchmark.html",
   "timingMs": null,
   "timingField": null,
   "mutable": false,
   "family": null,
   "notMutatedBecause": "an aggregate row (a benchmark's counts); no object to mutate"
  },
  {
   "id": "gsm8k-keys",
   "record": "certs/gsm8k-ledger.json",
   "verdict": "MIXED",
   "kind": "arithmetic-slip",
   "page": "/reports/gsm8k-audit.html",
   "timingMs": null,
   "timingField": null,
   "mutable": false,
   "family": null,
   "notMutatedBecause": "an aggregate row (an answer key re-decided); no object to mutate"
  },
  {
   "id": "metr-horizon",
   "record": "certs/horizon-ledger.json",
   "verdict": "MIXED",
   "kind": "not-the-optimum",
   "page": "/reports/time-horizon.html",
   "timingMs": null,
   "timingField": null,
   "mutable": false,
   "family": null,
   "notMutatedBecause": "an aggregate row (a time-horizon fit); no object to mutate"
  },
  {
   "id": "ecbench-marginals",
   "record": "certs/hseva-ledger.json",
   "verdict": "MIXED",
   "kind": "wrong-quantity",
   "page": "/reports/return-levels.html",
   "timingMs": null,
   "timingField": null,
   "mutable": false,
   "family": null,
   "notMutatedBecause": "an aggregate row (a benchmark's marginals); no object to mutate"
  },
  {
   "id": "design-table-bhaskaran-2023",
   "record": "certs/design-table-audit.json",
   "verdict": "NEEDS DATA",
   "kind": "data-not-public",
   "page": "/instruments/return-level-atlas/",
   "timingMs": null,
   "timingField": null,
   "mutable": false,
   "family": null,
   "notMutatedBecause": "a NEEDS DATA row whose pin cannot resolve; no object to mutate"
  },
  {
   "id": "navier-stokes-openai-2026",
   "record": "corpus/navier-stokes/audit.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/navier-stokes.html",
   "timingMs": null,
   "timingField": null,
   "mutable": false,
   "family": null,
   "notMutatedBecause": "a reading beside a kernel verdict; no object to mutate"
  },
  {
   "id": "optconst-3b",
   "record": "certs/sumdiff-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "entropy",
   "notMutatedBecause": null
  },
  {
   "id": "optconst-3c",
   "record": "certs/sumdiff-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "entropy",
   "notMutatedBecause": null
  },
  {
   "id": "optconst-3c-95",
   "record": "certs/sumdiff-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "entropy",
   "notMutatedBecause": null
  },
  {
   "id": "optconst-71",
   "record": "certs/fei-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "entropy",
   "notMutatedBecause": null
  },
  {
   "id": "optconst-84b",
   "record": "certs/sumproduct-ledger.json",
   "verdict": "REPAIRED",
   "kind": "arithmetic-slip",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "sumproduct",
   "notMutatedBecause": null
  },
  {
   "id": "optconst-42a",
   "record": "certs/turan-ledger.json",
   "verdict": "PARTIAL",
   "kind": "narrower-scope",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "turan",
   "notMutatedBecause": null
  },
  {
   "id": "optconst-42a-pr184",
   "record": "certs/turan-ledger.json",
   "verdict": "PARTIAL",
   "kind": "narrower-scope",
   "page": "/reports/optimization-constants.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "turan",
   "notMutatedBecause": null
  },
  {
   "id": "countex-aim-problems",
   "record": "certs/countex-ledger.json",
   "verdict": "PARTIAL",
   "kind": "narrower-scope",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 500,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-courtade-volume-conjecture",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 1000,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-dpp-feasible-step",
   "record": "certs/countex-ledger.json",
   "verdict": "PARTIAL",
   "kind": "depends-on-reading",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-hamiltonian-nepv-identity",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-lorentzian-jensen",
   "record": "certs/countex-ledger.json",
   "verdict": "PARTIAL",
   "kind": "narrower-scope",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 300,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-macdonald-schur-convexity",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-odonnell-matrix-conjecture",
   "record": "certs/countex-ledger.json",
   "verdict": "PARTIAL",
   "kind": "narrower-scope",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 22500,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-osi-sketch-and-solve",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-qrcp-orthonormal-greedy",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-quantum-coupon-collector",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 600,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-rank-two-mixed-norm",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-sdd-nystrom-diminishing-returns",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-theta-derivative-log-concavity",
   "record": "certs/countex-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 0,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "countex-variance-only-matrix-discrepancy",
   "record": "certs/countex-ledger.json",
   "verdict": "PARTIAL",
   "kind": "narrower-scope",
   "page": "/reports/counterexample-machine.html",
   "timingMs": 8200,
   "timingField": "seconds",
   "mutable": true,
   "family": "countex",
   "notMutatedBecause": null
  },
  {
   "id": "horizonmath-ramsey-asymptotic",
   "record": "certs/horizonmath-ledger.json",
   "verdict": "REFUTED",
   "kind": "checker-wider-than-definition",
   "page": "/reports/horizonmath.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "horizonmath",
   "notMutatedBecause": null
  },
  {
   "id": "horizonmath-keich-thin-triangles-128",
   "record": "certs/horizonmath-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/horizonmath.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "horizonmath",
   "notMutatedBecause": null
  },
  {
   "id": "horizonmath-gpt56-closed-forms",
   "record": "certs/horizonmath-ledger.json",
   "verdict": "NEEDS DATA",
   "kind": "data-not-public",
   "page": "/reports/horizonmath.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "horizonmath",
   "notMutatedBecause": null
  },
  {
   "id": "gnnw-gai-3782",
   "record": "certs/gnnw-certificate.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/diagonal-ramsey.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "gnnw",
   "notMutatedBecause": null
  },
  {
   "id": "polymaps-gao-g",
   "record": "certs/polymaps-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/polymaps.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "polymaps",
   "notMutatedBecause": null
  },
  {
   "id": "polymaps-gao-f4",
   "record": "certs/polymaps-ledger.json",
   "verdict": "CERTIFIED",
   "kind": "none",
   "page": "/reports/polymaps.html",
   "timingMs": null,
   "timingField": null,
   "mutable": true,
   "family": "polymaps",
   "notMutatedBecause": null
  },
  {
   "id": "polymaps-gao-f5",
   "record": "certs/polymaps-ledger.json",
   "verdict": "CERTIFIED",
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