numerical-evidence.json

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5093 bytes, as of the version from 2026-10-26 20:13 (current). Recorded here, not run.

{
  "table": "T526",
  "mode": "stored",
  "skill_manifest": "agents/runs/20261026T200330Z-build-skills/manifest.json",
  "skill_sha256": "b4d51ded0d52cfe3dcc0859de0845c3879b0c2363273ba7e809a7e06ded40b18",
  "numberdb_version": "0.1.10",
  "generator_working_bits": 513,
  "independent_working_bits": 768,
  "min_odd_relative_accuracy_bits": 509,
  "measure": {
    "entries": 12,
    "longest": 102,
    "longest_at": "1",
    "block_kb": 1.1181640625
  },
  "controls": "M0 and Table 4 orders 1 through 4; exact interval parser",
  "polynomial_ode_residuals": "zero, both equations, all orders 1 through 12",
  "coefficient_agreement": "exact, all orders 0 through 12",
  "rows": [
    {
      "n": 1,
      "Q_n": "3/4",
      "rational_factor": "3/4",
      "number": "0.9399856029866251884059119818041419698776200277287268687362213411283601204779407406049734393917714748",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "7.9789675e-101"
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    {
      "n": 2,
      "Q_n": "59/32",
      "rational_factor": "59/60",
      "number": "59/60",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "1.7952677e-100"
    },
    {
      "n": 3,
      "Q_n": "465/64",
      "rational_factor": "465/512",
      "number": "1.138263816116616439085284040465953166648680502327755192610268030272623583391256365576335024263473270",
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    {
      "n": 4,
      "Q_n": "80175/2048",
      "rational_factor": "5345/3696",
      "number": "5345/3696",
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      "stored_recurrence_residual_radius": "3.3530364e-98"
    },
    {
      "n": 5,
      "Q_n": "274305/1024",
      "rational_factor": "91435/57344",
      "number": "1.998409217101052690241224006144478260225078758263024117440857475959626293152448651813982199376549126",
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      "rational_factor": "29181239/9801792",
      "number": "29181239/9801792",
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      "Q_n": "44643315/2048",
      "rational_factor": "2976221/786432",
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    {
      "n": 8,
      "Q_n": "2062447907675/8388608",
      "rational_factor": "412489581535/51400597248",
      "number": "412489581535/51400597248",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "5.1747993e-95"
    },
    {
      "n": 9,
      "Q_n": "823139313825/262144",
      "rational_factor": "54875954255/4798283776",
      "number": "14.33362687102359914440474651494517668380878038059399322423019942073406318809985136875721221357872060",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "2.1915483e-93"
    },
    {
      "n": 10,
      "Q_n": "12025441761878925/268435456",
      "rational_factor": "53446407830573/1987489760256",
      "number": "53446407830573/1987489760256",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "3.1219108e-92"
    },
    {
      "n": 11,
      "Q_n": "2961991897667925/4194304",
      "rational_factor": "197466126511195/4690104287232",
      "number": "52.76792856635463452662673847373621057385543365490724131248862804839130831075674135899635140506288750",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "1.3417928e-91"
    },
    {
      "n": 12,
      "Q_n": "209426414990949073275/17179869184",
      "rational_factor": "90075877415461967/834745699307520",
      "number": "90075877415461967/834745699307520",
      "independent_ball_accuracy_bits": 764,
      "stored_recurrence_residual_radius": "2.3091397e-90"
    }
  ],
  "log_convexity": "strict for n=1,...,11, including M0=1",
  "all_written_intervals_checked": true,
  "verify": "<VerifyReport T526: 12/12 matched, 0 differing, 0 missing, 0 extra>",
  "builder_run": "20261026T200330Z",
  "sage_version": "10.9",
  "audit": {
    "tid": "T526",
    "title": "Moments of the Brownian meander area",
    "findings": [],
    "clean": true
  },
  "source_pdf_sha256": "a742ea288305a81470781d6576c09893f78d1bfd0d777a403492fa76f9da44b7",
  "source": "https://arxiv.org/pdf/0704.2289; section 22 and Appendix C.3",
  "generator_source_sha256": {
    "generate.py": "60ec39bfbf293156114e45aaadad6c38aed5d9462356e51d7aa024cc7635163b",
    "checks.py": "e0af93f05c422d40e69ba37078308fece3be97b8c9b54dac2d3095c7d429ae59",
    "check.py": "1b69965212b74b8e9fa1d38b507f5629f9f4319707aefcf0bcb0dc94a6fb611b"
  },
  "independent_critique": "Required in a separate session; no builder acceptance sidecar."
}