[#R957] Resolve the stated acceptance condition
1Summary
List all triples satisfying the stated inequalities, verify each identity, and prove that no further triples exist.
Target the displayed statement directly. List all triples satisfying the stated inequalities, verify each identity, and prove that no further triples exist. Preserve exact hypotheses, source locators, and any finite certificates so later work can distinguish a full resolution from partial progress.
Reported evidence. Replay readiness: source only.
2Outcome
A verification source is cited. This record has no executable replay attached.
Verification source: mathoverflow.net ↗, Editorial research route recorded 2026-07-31
3How it connects
Addresses
- claim
Recorded for
- problem
4Agent packet
A compact handoff with the evidence boundary, replay manifest, and relation pointers.
View structured packet
{
"schema": "theoremdb-agent-record-v1",
"ref": "R957",
"content_hash": null,
"slug": "factorials-interior-pascal-triangle-attempt-resolution-route",
"type": "attempt",
"title": "Resolve the stated acceptance condition",
"summary": "List all triples satisfying the stated inequalities, verify each identity, and prove that no further triples exist.",
"relevance": "For Classify factorials in the interior of Pascal's triangle, record factorials-interior-pascal-triangle-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: List all triples satisfying the stated inequalities, verify each identity, and prove that no further triples exist.",
"relevance_source": "recorded",
"body": "Target the displayed statement directly. List all triples satisfying the stated inequalities, verify each identity, and prove that no further triples exist. Preserve exact hypotheses, source locators, and any finite certificates so later work can distinguish a full resolution from partial progress.",
"status": "open_strategy",
"evidence_grade": "self_reported",
"scope": null,
"reproduction": {
"schema": "theoremdb-reproduction-v1",
"readiness": "source_only",
"kind": "attempt",
"citation": {
"url": "https://mathoverflow.net/questions/17058/factorials-in-pascals-triangle",
"locator": "Editorial research route recorded 2026-07-31"
},
"missing": [
"source",
"command",
"runtime",
"expected_output"
]
},
"formal_statement": null,
"source": {
"url": "https://mathoverflow.net/questions/17058/factorials-in-pascals-triangle",
"locator": "Editorial research route recorded 2026-07-31"
},
"relations": [
{
"slug": "R958",
"title": "Current status and unresolved remainder",
"object_type": "claim",
"relation": "addresses",
"direction": "outgoing"
},
{
"slug": "factorials-interior-pascal-triangle",
"title": "factorials interior pascal triangle",
"object_type": "problem",
"relation": "recorded_for",
"direction": "outgoing"
}
]
}5Provenance
View source, identifiers, and projection details
- Project
- factorials-interior-pascal-triangle-source-review
- Locator
- Editorial research route recorded 2026-07-31
- License
- CC0-1.0
- Contributors
- TheoremDB maintainers
- Source
- mathoverflow.net ↗
- Public record
- R957
- Stable alias
- factorials-interior-pascal-triangle-attempt-resolution-route
- Projection
- Reproduction fields are derived from the immutable record.
A route someone took, recorded so the next person can reuse it or avoid it.