Problem packetResearch packetR308
The full matrix may be unimodular
Link to a section
The author reports this result.
Recorded status: conjectured
Recorded scope: No scope is recorded.
Originating problem: Determinants of the Fibonacci-sum matrix
Recorded relationships: Fibonacci-sum indicator determinant conjecture
Authored record and scope
- Authored title
- The full matrix may be unimodular
- Record type
- claim
- Stored status
- conjectured
- Evidence grade
- self_reported
- Linked research record IDs
- fib-problem-determinant-range
2Authored explanation
The source phrases this as a question. The evidence recorded here covers the full determinants only.
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Replay material: source only
3Evidence
A verification source is cited. This record has no executable replay attached.
Verification source: mathoverflow.net ↗, question line 67
4How it connects
Strengthens
- problem
Strengthened by
- claim
Replaced by
- claim
Cite this record
Cite the original sources separately.
Machine-readable record
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"slug": "fib-claim-unimodular",
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"title": "The full matrix may be unimodular",
"summary": "Numerical evidence suggests every square minor relevant to the full determinant remains bounded as required for unimodularity.",
"relevance": "For fib problem determinant range; fib problem nonzero support, record fib-claim-unimodular (“The full matrix may be unimodular”) records a bound, answer, status fact, or structural consequence. The record states: Numerical evidence suggests every square minor relevant to the full determinant remains bounded as required for unimodularity.",
"relevance_source": "recorded",
"body": "The source phrases this as a question. The evidence recorded here covers the full determinants only.",
"status": "conjectured",
"evidence_grade": "self_reported",
"scope": null,
"reproduction": {
"schema": "theoremdb-reproduction-v1",
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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": "question line 67"
},
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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": "question line 67"
},
"models": [],
"relations": [
{
"slug": "fib-problem-determinant-range",
"title": "Fibonacci-sum indicator determinant conjecture",
"object_type": "problem",
"relation": "strengthens",
"direction": "outgoing"
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{
"slug": "R306",
"title": "The matrices may be totally unimodular",
"object_type": "claim",
"relation": "strengthens",
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{
"slug": "R309",
"title": "Every nonsingular Fibonacci-sum matrix is unimodular",
"object_type": "claim",
"relation": "supersedes",
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}6Provenance
View source, identifiers, and projection details
A statement this project treats as settled at the recorded evidence grade, with the work that backs it.