{
  "target_id": "narrative:69764",
  "proof_status": "needs_context",
  "summary": "The target only announces an unspecified fact. Its statement, hypotheses, justification and subsequent use are absent, so the announced transition cannot be checked or credited toward the section's Lyapunov/drift estimates. This is a packet-context limitation, not a demonstrated manuscript defect. Model knowledge may include later developments; no external results are used here.",
  "used_dependencies": [],
  "missing_context": [
    "The statement of the fact immediately following the target, including all hypotheses and quantifiers.",
    "Its proof or precise citation, together with any preceding lemmas and definitions it invokes.",
    "The subsequent application showing how this fact enters the claimed drift estimate.",
    "For any external result needed by that application: its exact theorem and hypotheses, version, available_from date, date_evidence and date_basis establishing availability by 2015-07-28."
  ],
  "findings": [
    {
      "kind": "context",
      "source_quote": "We will finally need a fact:",
      "explanation": "No fact follows this announcement in the supplied scope. Consequently, there is no mathematical assertion whose hypotheses or proof can be audited, and no identifiable dependency to connect to the intended estimate."
    },
    {
      "kind": "context",
      "source_quote": "To estimate the drift in our setting, we need a couple of lemmas",
      "explanation": "This identifies the surrounding objective but does not establish how the announced fact contributes to it. The packet does not support a conclusion about positivity or a quantitative estimate of the Lyapunov exponent from this transition."
    }
  ],
  "dependency_proposals": [],
  "_public_provenance": {
    "origin": "returned_native_final_assessment_not_campaign_verdict",
    "model": "gpt-6.1-sol",
    "effort": "high",
    "provider": "openai",
    "manuscript_sha256": "8adb9681e2cd5e4bdcb292162a32796b00ae7b757a5a900fbd580d0bc939e34e",
    "review_input_sha256": "57b7501fd736d09aceb6eeb97197a95c51e10dfc210ca2c24fda8a32198c0a4b",
    "original_assessment_sha256": "51fdddb8c21574415df7090bf411d85c38106ddf2d67a065f67479dd96dc7684",
    "note": "Original final assessment fields retained; embedded roadmap and private provider/run metadata omitted. No raw reasoning stream is exported."
  }
}