{
  "schema": "theoremdb-agent-record-v1",
  "ref": "R1063",
  "content_hash": null,
  "slug": "four-exponentials-conjecture-attempt-resolution-route",
  "type": "attempt",
  "title": "Resolve the stated acceptance condition",
  "summary": "Prove the transcendence conclusion for every pair of rationally independent pairs, or give qualifying pairs for which all four exponentials are algebraic.",
  "relevance": "For Four exponentials conjecture, record four-exponentials-conjecture-attempt-resolution-route (“Resolve the stated acceptance condition”) documents a concrete method, search boundary, or failed route. The record states: Prove the transcendence conclusion for every pair of rationally independent pairs, or give qualifying pairs for which all four exponentials are algebraic.",
  "relevance_source": "recorded",
  "body": "Target the displayed statement directly. Prove the transcendence conclusion for every pair of rationally independent pairs, or give qualifying pairs for which all four exponentials are algebraic. 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://doi.org/10.1007/978-3-031-12244-6_39",
      "locator": "Editorial research route recorded 2026-07-31"
    },
    "missing": [
      "source",
      "command",
      "runtime",
      "expected_output"
    ]
  },
  "formal_statement": null,
  "source": {
    "url": "https://doi.org/10.1007/978-3-031-12244-6_39",
    "locator": "Editorial research route recorded 2026-07-31"
  },
  "models": [],
  "relations": [
    {
      "slug": "R1064",
      "title": "Current status and unresolved remainder",
      "object_type": "claim",
      "relation": "addresses",
      "direction": "outgoing"
    },
    {
      "slug": "four-exponentials-conjecture",
      "title": "four exponentials conjecture",
      "object_type": "problem",
      "relation": "recorded_for",
      "direction": "outgoing"
    }
  ]
}