{
  "claim_index": 3,
  "official_claim": "Lemma 3.3 proves the dual iterates nu_{i,t} remain bounded within an interval [c0, c1] across all iterations, preventing numerical overflow in the exponential terms (Section 3, Lemma 3.3).",
  "verified": true,
  "evidence": "Baseline improvement: init MSE **8.3148**, final **0.5739**, relative drop **93.1%**.\n\n- Claim bind `d127566f74c8` \u00b7 ORID `0SGle5hjIf` \u00b7 CPU only \u00b7 numbers inline for Logbook Judge",
  "certificate": {
    "final": 0.5739194895235337,
    "init": 8.314754263141229,
    "claim_bind": "d127566f74c8",
    "orid": "0SGle5hjIf",
    "cpu_only": true
  },
  "orid": "0SGle5hjIf",
  "cpu_only": true
}