{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1121",
  "content_hash": null,
  "slug": "perfect-cuboid-problem-attempt-resolution-route",
  "type": "attempt",
  "title": "Resolve the stated acceptance condition",
  "summary": "Exhibit positive integers satisfying all four square conditions, or prove that no positive integer triple can satisfy them.",
  "relevance": "For Perfect cuboid problem, record perfect-cuboid-problem-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: Exhibit positive integers satisfying all four square conditions, or prove that no positive integer triple can satisfy them.",
  "relevance_source": "recorded",
  "body": "Target the displayed statement directly. Exhibit positive integers satisfying all four square conditions, or prove that no positive integer triple can satisfy them. 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/1704.00165",
      "locator": "Editorial research route recorded 2026-07-31"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://arxiv.org/abs/1704.00165",
    "locator": "Editorial research route recorded 2026-07-31"
  },
  "relations": [
    {
      "slug": "R1122",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "perfect-cuboid-problem",
      "title": "perfect cuboid problem",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}