{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1069",
  "content_hash": null,
  "slug": "graph-reconstruction-conjecture-attempt-resolution-route",
  "type": "attempt",
  "title": "Resolve the stated acceptance condition",
  "summary": "Prove reconstruction for every finite simple graph with at least three vertices, or give two nonisomorphic such graphs and rigorously verify that their decks are identical.",
  "relevance": "For Graph reconstruction conjecture, record graph-reconstruction-conjecture-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: Prove reconstruction for every finite simple graph with at least three vertices, or give two nonisomorphic such graphs and rigorously verify that their decks are identical.",
  "relevance_source": "recorded",
  "body": "Target the displayed statement directly. Prove reconstruction for every finite simple graph with at least three vertices, or give two nonisomorphic such graphs and rigorously verify that their decks are identical. 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/2601.00620",
      "locator": "Editorial research route recorded 2026-07-31"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/2601.00620",
    "locator": "Editorial research route recorded 2026-07-31"
  },
  "models": [],
  "relations": [
    {
      "slug": "R1070",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "graph-reconstruction-conjecture",
      "title": "graph reconstruction conjecture",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}