Problem packetResearch packetR275
Construct a sign-reversing involution on allowed permutations
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The recorded evidence grade has no defined assessment here. The outcome applies to this attempt's recorded scope.
Attempt outcome: open strategy
Recorded scope: No scope is recorded.
Originating problem: Determinants of the Fibonacci-sum matrix
Authored record and scope
- Authored title
- Construct a sign-reversing involution on allowed permutations
- Record type
- attempt
- Stored status
- open_strategy
- Evidence grade
- proposed
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
Pair allowed permutations of opposite parity, leaving at most one fixed exception, to explain the determinant bound directly.
- Reported outcome
No separate outcome supplied.
- Recorded status
open_strategy
- Recorded evidence grade
proposed
- Recorded scope
No explicit scope supplied.
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2Authored explanation
The Fibonacci carry structure may identify the first local difference to switch. No valid involution has been constructed.
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Replay material: source only
3Outcome
A verification source is cited. This record has no executable replay attached.
Verification source: mathoverflow.net ↗, derived from the permutation equivalence
4How it connects
Addresses
- claim
- claim
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Cite the original sources separately.
Machine-readable record
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"slug": "fib-attempt-sign-involution",
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"title": "Construct a sign-reversing involution on allowed permutations",
"summary": "Pair allowed permutations of opposite parity, leaving at most one fixed exception, to explain the determinant bound directly.",
"relevance": "For fib problem determinant range; fib problem nonzero support, record fib-attempt-sign-involution (“Construct a sign-reversing involution on allowed permutations”) documents a concrete method, search boundary, or failed route. The record states: Pair allowed permutations of opposite parity, leaving at most one fixed exception, to explain the determinant bound directly.",
"relevance_source": "recorded",
"body": "The Fibonacci carry structure may identify the first local difference to switch. No valid involution has been constructed.",
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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": "derived from the permutation equivalence"
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"locator": "derived from the permutation equivalence"
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"models": [],
"relations": [
{
"slug": "R298",
"title": "Determinant equals a signed matching imbalance",
"object_type": "claim",
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{
"slug": "R299",
"title": "Determinant equals a signed matching imbalance",
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}6Provenance
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