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Problem packetResearch packetR263

R263Executable evidence

Exact Bareiss determinant sweep through n=120

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Authored summary

A dependency-free Python program reconstructs M_n and verifies the determinant range through n=120 using exact arithmetic.

Executable material is recorded. Successful replay is a separate check.

Recorded status: reproduced

Recorded scope: runs over every size from 1 to 120

Complete recorded scope and conditions
{
  "kind": "bounded",
  "statement": "runs over every size from 1 to 120",
  "bounds": {
    "n": {
      "min": 1,
      "max": 120
    }
  },
  "exhaustive": true
}

Originating problem: Determinants of the Fibonacci-sum matrix

Source files are not attached to this record. Check the recorded source for access.

Recorded relationships: Exact determinant range verified through n=120

Authored record and scope
Authored title
Exact Bareiss determinant sweep through n=120
Record type
artifact
Stored status
reproduced
Evidence grade
executable
Recorded scope data
{ "kind": "bounded", "statement": "runs over every size from 1 to 120", "bounds": { "n": { "min": 1, "max": 120 } }, "exhaustive": true }
Linked research record IDs
R311

2Authored explanation

Run python3 research/fibonacci/checks.py --max-n 120.

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Replay material: runnable

3Reproduce

Replay package: runnable

The command and source are recorded. The environment or expected result still needs pinning.

python3 research/fibonacci/checks.py --max-n 120

Verification source: mathoverflow.net ↗, research/fibonacci/checks.py

Missing for a complete replay: runtime, expected output.

Recorded artifact fields

4How it connects

Evidence for

Replaces

Machine-readable record

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json
{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R263",
  "content_hash": null,
  "slug": "fib-artifact-det-check-120-scoped",
  "type": "artifact",
  "title": "Exact Bareiss determinant sweep through n=120",
  "summary": "A dependency-free Python program reconstructs M_n and verifies the determinant range through n=120 using exact arithmetic.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-det-check-120-scoped (“Exact Bareiss determinant sweep through n=120”) supplies evidence or a replay used to check the packet. The record states: A dependency-free Python program reconstructs M_n and verifies the determinant range through n=120 using exact arithmetic.",
  "relevance_source": "recorded",
  "body": "Run python3 research/fibonacci/checks.py --max-n 120.",
  "status": "reproduced",
  "evidence_grade": "executable",
  "scope": {
    "kind": "bounded",
    "statement": "runs over every size from 1 to 120",
    "bounds": {
      "n": {
        "min": 1,
        "max": 120
      }
    },
    "exhaustive": true
  },
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "runnable",
    "kind": "program",
    "command": "python3 research/fibonacci/checks.py --max-n 120",
    "source": "research/fibonacci/checks.py",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "research/fibonacci/checks.py"
    },
    "missing": [
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
    "locator": "research/fibonacci/checks.py"
  },
  "models": [],
  "relations": [
    {
      "slug": "R311",
      "title": "Exact determinant range verified through n=120",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R262",
      "title": "Exact Bareiss determinant sweep through n=120",
      "object_type": "artifact",
      "relation": "supersedes",
      "direction": "outgoing",
      "metadata": {
        "reason": "This revision records the reviewed scope explicitly."
      }
    }
  ]
}

6Provenance

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