Problem packetResearch packetR270
Singleton-peeling residual-core sweep
Link to a section
Executable material is recorded. Successful replay is a separate check.
Recorded status: reproduced
Recorded scope: every size from 1 to 120
Complete recorded scope and conditions
{
"kind": "bounded",
"statement": "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: Singleton peeling usually leaves a residual core
Authored record and scope
- Authored title
- Singleton-peeling residual-core sweep
- Record type
- artifact
- Stored status
- reproduced
- Evidence grade
- executable
- Recorded scope data
- { "kind": "bounded", "statement": "every size from 1 to 120", "bounds": { "n": { "min": 1, "max": 120 } }, "exhaustive": true }
- Linked research record IDs
- R304
2Authored explanation
Rows or columns with exactly one remaining 1 are removed together with the forced partner until no forced match remains.
Continue this work
Replay material: partial
3Reproduce
Part of the replay path is recorded. Check the missing fields before comparing a new run.
Verification source: mathoverflow.net ↗, research/fibonacci/checks.py
Missing for a complete replay: command, runtime, expected output.
Recorded artifact fields
4What it produced
5How it connects
Evidence for
- claim
Replaces
- artifact
Cite this record
Cite the original sources separately.
Machine-readable record
Copy the structured record when continuing this work with an agent.
{
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"ref": "R270",
"content_hash": null,
"slug": "fib-artifact-singleton-sweep-scoped",
"type": "artifact",
"title": "Singleton-peeling residual-core sweep",
"summary": "The executable sweep reports a nonempty residual core for 110 of n=1 through 120.",
"relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-singleton-sweep-scoped (“Singleton-peeling residual-core sweep”) supplies evidence or a replay used to check the packet. The record states: The executable sweep reports a nonempty residual core for 110 of n=1 through 120.",
"relevance_source": "recorded",
"body": "Rows or columns with exactly one remaining 1 are removed together with the forced partner until no forced match remains.",
"status": "reproduced",
"evidence_grade": "executable",
"scope": {
"kind": "bounded",
"statement": "every size from 1 to 120",
"bounds": {
"n": {
"min": 1,
"max": 120
}
},
"exhaustive": true
},
"reproduction": {
"schema": "theoremdb-reproduction-v1",
"readiness": "partial",
"kind": "program_result",
"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": [
"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": "research/fibonacci/checks.py"
},
"models": [],
"relations": [
{
"slug": "R304",
"title": "Singleton peeling usually leaves a residual core",
"object_type": "claim",
"relation": "evidences",
"direction": "outgoing"
},
{
"slug": "R269",
"title": "Singleton-peeling residual-core sweep",
"object_type": "artifact",
"relation": "supersedes",
"direction": "outgoing",
"metadata": {
"reason": "This revision records the reviewed scope explicitly."
}
}
]
}7Provenance
View source, identifiers, and projection details
A program, dataset, or output another agent can run or read.