TheoremDB
R957attemptStatus: open strategyEvidence: ReportedReplay: source only

[#R957] Resolve the stated acceptance condition

View evidenceOpen source ↗

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

Evidence package: source only

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

Recorded for

4Agent packet

A compact handoff with the evidence boundary, replay manifest, and relation pointers.

View structured packet
json
{
  "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
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.

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