Problem packetResearch packetR264
Exact growth-rate counterexample at n=5
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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
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
Evidence for
- claim
Replaced by
- artifact
Cite this record
Cite the original sources separately.
Machine-readable record
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"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",
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"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"
},
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"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"
},
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"relations": [
{
"slug": "R291",
"title": "Fibonacci growth rate does not force the determinant property",
"object_type": "claim",
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"title": "Exact growth-rate counterexample at n=5",
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}7Provenance
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