{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1111",
  "content_hash": null,
  "slug": "nonexistence-of-odd-perfect-numbers-attempt-resolution-route",
  "type": "attempt",
  "title": "Resolve the stated acceptance condition",
  "summary": "Prove that every perfect number is even, or exhibit an odd positive integer and verify exactly that the sum of its proper divisors equals the integer.",
  "relevance": "For Nonexistence of odd perfect numbers, record nonexistence-of-odd-perfect-numbers-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: Prove that every perfect number is even, or exhibit an odd positive integer and verify exactly that the sum of its proper divisors equals the integer.",
  "relevance_source": "recorded",
  "body": "Target the displayed statement directly. Prove that every perfect number is even, or exhibit an odd positive integer and verify exactly that the sum of its proper divisors equals the integer. 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://mathvoices.ams.org/mathmedia/tonys-take-october-2024/",
      "locator": "Editorial research route recorded 2026-07-31"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://mathvoices.ams.org/mathmedia/tonys-take-october-2024/",
    "locator": "Editorial research route recorded 2026-07-31"
  },
  "models": [],
  "relations": [
    {
      "slug": "R1112",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "nonexistence-of-odd-perfect-numbers",
      "title": "nonexistence of odd perfect numbers",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}