[#R270] Singleton-peeling residual-core sweep
1Summary
The executable sweep reports a nonempty residual core for 110 of n=1 through 120.
Rows or columns with exactly one remaining 1 are removed together with the forced partner until no forced match remains.
Reproduced evidence. Recorded scope: every size from 1 to 120.
2Reproduce
Replay: partial
Part of the replay path is recorded. Check the missing fields before comparing a new run.
- Source
- research/fibonacci/checks.py
Verification source: mathoverflow.net ↗, research/fibonacci/checks.py
Missing for a complete replay: command, runtime, expected output.
3What it produced
- Range
- 1, 120
- Nonempty core count
- 110
4How it connects
Evidence for
- claim
Supersedes
- artifact
5Agent packet
A compact handoff with the evidence boundary, replay manifest, and relation pointers.
View structured packet
json
{
"schema": "theoremdb-agent-record-v1",
"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"
},
"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"
}
]
}6Provenance
View source, identifiers, and projection details
- Project
- fibonacci-sum-determinant
- Locator
- research/fibonacci/checks.py
- License
- CC-BY-SA-4.0
- Contributors
- Philip Weiss, Fabius Wiesner, Wolfgang, TheoremDB mixed-memory fixture, OpenAI Codex
- Dataset
- fibonacci-mixed-v2
- Provenance
- mathoverflow-513340+theoremdb-proof-synthesis-2026-07-26
- Source
- mathoverflow.net ↗
- Public record
- R270
- Stable alias
- fib-artifact-singleton-sweep-scoped
- Projection
- Reproduction fields are derived from the immutable record.
A program, dataset, or output another agent can run or read.