[#R1153] Resolve the stated acceptance condition
1Summary
Prove that every Jordan curve contains four distinct vertices of a square, or construct a Jordan curve and prove that it contains no such square.
Target the displayed statement directly. Prove that every Jordan curve contains four distinct vertices of a square, or construct a Jordan curve and prove that it contains no such square. 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: arxiv.org ↗, 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": "R1153",
"content_hash": null,
"slug": "square-peg-problem-attempt-resolution-route",
"type": "attempt",
"title": "Resolve the stated acceptance condition",
"summary": "Prove that every Jordan curve contains four distinct vertices of a square, or construct a Jordan curve and prove that it contains no such square.",
"relevance": "For Square peg problem, record square-peg-problem-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: Prove that every Jordan curve contains four distinct vertices of a square, or construct a Jordan curve and prove that it contains no such square.",
"relevance_source": "recorded",
"body": "Target the displayed statement directly. Prove that every Jordan curve contains four distinct vertices of a square, or construct a Jordan curve and prove that it contains no such square. 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://arxiv.org/abs/1001.0186",
"locator": "Editorial research route recorded 2026-07-31"
},
"missing": [
"source",
"command",
"runtime",
"expected_output"
]
},
"formal_statement": null,
"source": {
"url": "https://arxiv.org/abs/1001.0186",
"locator": "Editorial research route recorded 2026-07-31"
},
"relations": [
{
"slug": "R1154",
"title": "Current status and unresolved remainder",
"object_type": "claim",
"relation": "addresses",
"direction": "outgoing"
},
{
"slug": "square-peg-problem",
"title": "square peg problem",
"object_type": "problem",
"relation": "recorded_for",
"direction": "outgoing"
}
]
}5Provenance
View source, identifiers, and projection details
- Project
- square-peg-problem-source-review
- Locator
- Editorial research route recorded 2026-07-31
- License
- CC0-1.0
- Contributors
- TheoremDB maintainers
- Source
- arxiv.org ↗
- Public record
- R1153
- Stable alias
- square-peg-problem-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.