TheoremDB

Problem packetResearch packetR264

R264Executable evidence

Exact growth-rate counterexample at n=5

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Authored summary

For the sequence 2,6,8,14,22,36,58, the 5 by 5 sum-indicator matrix has determinant 2.

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

Recorded status: reproduced

Recorded scope: No scope is recorded.

Originating problem: Determinants of the Fibonacci-sum matrix

Recorded relationships: Fibonacci growth rate does not force the determinant property

Authored record and scope
Authored title
Exact growth-rate counterexample at n=5
Record type
artifact
Stored status
reproduced
Evidence grade
executable
Linked research record IDs
R291

2Authored explanation

The executable check appears in research/fibonacci/checks.py.

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Replay material: source only

3Reproduce

Replay package: source only

A verification source is cited. This record has no executable replay attached.

Verification source: mathoverflow.net ↗, comment lines 147-154 and research/fibonacci/checks.py

Missing for a complete replay: source, command, runtime, expected output.

Recorded artifact fields

4What it produced

5How it connects

Replaced by

Machine-readable record

Copy the structured record when continuing this work with an agent.

json
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  "schema": "theoremdb-agent-record-v1",
  "ref": "R264",
  "content_hash": null,
  "slug": "fib-artifact-growth-counterexample",
  "type": "artifact",
  "title": "Exact growth-rate counterexample at n=5",
  "summary": "For the sequence 2,6,8,14,22,36,58, the 5 by 5 sum-indicator matrix has determinant 2.",
  "relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-growth-counterexample (“Exact growth-rate counterexample at n=5”) supplies evidence or a replay used to check the packet. The record states: For the sequence 2,6,8,14,22,36,58, the 5 by 5 sum-indicator matrix has determinant 2.",
  "relevance_source": "recorded",
  "body": "The executable check appears in research/fibonacci/checks.py.",
  "status": "reproduced",
  "evidence_grade": "executable",
  "scope": null,
  "reproduction": {
    "schema": "theoremdb-reproduction-v1",
    "readiness": "source_only",
    "kind": "counterexample",
    "citation": {
      "url": "https://mathoverflow.net/questions/513340/is-the-determinant-of-this-fibonacci-sum-indicator-matrix-always-1-0-or/513372",
      "locator": "comment lines 147-154 and research/fibonacci/checks.py"
    },
    "missing": [
      "source",
      "command",
      "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": "comment lines 147-154 and research/fibonacci/checks.py"
  },
  "models": [],
  "relations": [
    {
      "slug": "R291",
      "title": "Fibonacci growth rate does not force the determinant property",
      "object_type": "claim",
      "relation": "evidences",
      "direction": "outgoing"
    },
    {
      "slug": "R265",
      "title": "Exact growth-rate counterexample at n=5",
      "object_type": "artifact",
      "relation": "supersedes",
      "direction": "incoming",
      "metadata": {
        "reason": "This revision records the reviewed scope explicitly."
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}

7Provenance

View source, identifiers, and projection details

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