numerical-evidence.json

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3950 bytes, as of the version from 2026-10-29 07:20. Recorded here, not run.

{
  "table": "T603",
  "run": "20261029T070407Z",
  "skill_manifest": "agents/runs/20261029T070407Z-build-skills/manifest.json",
  "skill_versions": [
    {
      "source": "local",
      "file": "skill-local.md",
      "sha256": "28ecbeeccb0c5e5d6eb541b5a5b0f88aec47b154374d909085116d34f5629199"
    },
    {
      "source": "live",
      "file": "skill-live.md",
      "sha256": "28ecbeeccb0c5e5d6eb541b5a5b0f88aec47b154374d909085116d34f5629199"
    }
  ],
  "numerical_result": {
    "status": "PASS",
    "entries": 40,
    "minimum_relative_accuracy_bits_150": 500,
    "measure": {
      "entries": 40,
      "longest": 173,
      "longest_at": [
        2,
        "logdet"
      ],
      "block_kb": 8.607421875
    },
    "exactness": [],
    "independent_agrees_with": []
  },
  "source_and_relation_result": {
    "status": "PASS",
    "sphere_dimensions": 20,
    "rounded_source_values": 20
  },
  "dowker_discrepancy": {
    "dowker_p7": {
      "spectral_derivative_difference": "[-0.6376951068409565490106071990273847174525726263101483132123646032213257773634596299131868736685988235347527593551991004907469035892654639396973036128826827579616532478789236 +/- 5.45e-173]",
      "corrected_constant": "-1",
      "printed_constant": "+1/2",
      "printed_minus_spectral": "3/2",
      "reconciled": true
    }
  },
  "sources": {
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    "dowker.pdf": "9691784d17ef011880822cfd192b77ab328df14ba0b7f3eabfb0509bd9ef0396"
  },
  "algorithm_notes": "Primary: finite Theorem 3.2 with exact coefficients and Arb at 150 and 200 working decimal digits. Independent: direct shifted spectral continuation with explicit pole cancellation, Arb at 240 digits and an absolute truncation bound below 1e-170. Both use Arb special-function primitives, but no generator code or combinatorial coefficients are shared. Controls and finite widths are enforced. The independent actor critique remains separate.",
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    "checks.py": "c348cae5c98f578fe73ba5e387e71d8a7a6280ba1e032679440d3b30607b8d54",
    "check.py": "1b69965212b74b8e9fa1d38b507f5629f9f4319707aefcf0bcb0dc94a6fb611b",
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    "argument-selection.md": "692465fb6865b8075bb2d950d9472654714f694add77c1bc0a7e85f2add3d302",
    "source-check-notes.md": "22352f6cbebeb9141d8585578232b84acce64df8320c82b30e7b1cda95da18f0"
  },
  "stored_verification": {
    "status": "PASS",
    "entries": 40,
    "ordered_selection_matches": true,
    "maximum_stored_value_characters": 104
  },
  "audit": {
    "tid": "T603",
    "title": "Dirichlet spectral determinants of Laplacians on hemispheres",
    "findings": [
      "parameter convention takes 2 names (det, logdet), each carrying entries of its own, so this reads as 2 tables sharing one title and one value column. If those are 2 named quantities, make 2 tables and relate them in Similar tables; if they are one object in several parts, or one number in several conventions, say so in the definition and leave them together"
    ],
    "clean": false
  },
  "audit_resolution": "The definition explicitly states the permitted invertible convention exception; the remaining structural advisory does not parse that exception.",
  "selection_fingerprint": {
    "table": "T603",
    "selection_sha256": "4976e1ad8ea4ba145cfbe9a07f4eb9336779e96da52d920676b76ddd559bbf16",
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}