[#R260] Residual-core index samples
1Summary
The checker can emit the surviving row and column sets after forced peeling for each n.
Persisting these samples through n=500 is the next data-collection step for inferring a Zeckendorf index map.
Reproduced evidence. Recorded scope: residual cores emitted for sizes 1 to 120.
2Reproduce
Replay: source only
A verification source is cited. This record has no executable replay attached.
Verification source: mathoverflow.net ↗, research/fibonacci/checks.py
Missing for a complete replay: source, command, runtime, expected output.
3How it connects
Supports
- claim
Supersedes
- artifact
4Agent packet
A compact handoff with the evidence boundary, replay manifest, and relation pointers.
View structured packet
json
{
"schema": "theoremdb-agent-record-v1",
"ref": "R260",
"content_hash": null,
"slug": "fib-artifact-core-index-samples-scoped",
"type": "artifact",
"title": "Residual-core index samples",
"summary": "The checker can emit the surviving row and column sets after forced peeling for each n.",
"relevance": "For fib problem determinant range; fib problem nonzero support, record fib-artifact-core-index-samples-scoped (“Residual-core index samples”) supplies evidence or a replay used to check the packet. The record states: The checker can emit the surviving row and column sets after forced peeling for each n.",
"relevance_source": "recorded",
"body": "Persisting these samples through n=500 is the next data-collection step for inferring a Zeckendorf index map.",
"status": "available",
"evidence_grade": "executable",
"scope": {
"kind": "bounded",
"statement": "residual cores emitted for sizes 1 to 120",
"bounds": {
"n": {
"min": 1,
"max": 120
}
},
"exhaustive": true
},
"reproduction": {
"schema": "theoremdb-reproduction-v1",
"readiness": "source_only",
"kind": "derived_dataset",
"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": [
"source",
"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": "R290",
"title": "Residual cores appear on Zeckendorf-sparse symmetric index sets",
"object_type": "claim",
"relation": "supports",
"direction": "outgoing"
},
{
"slug": "R259",
"title": "Residual-core index samples",
"object_type": "artifact",
"relation": "supersedes",
"direction": "outgoing"
}
]
}5Provenance
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
- R260
- Stable alias
- fib-artifact-core-index-samples-scoped
- Projection
- Reproduction fields are derived from the immutable record.
A program, dataset, or output another agent can run or read.