{
  "claim_index": 2,
  "official_claim": "Proposition 3.1 bounds the Poisson-equation solution constant C_Q via the pseudo-spectral gap of the underlying Markov chain (Section 3, Proposition 3.1).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`spectral-kernel`)\n\n> Proposition 3.1 bounds the Poisson-equation solution constant C_Q via the pseudo-spectral gap of the underlying Markov chain (Section 3, Proposition 3.1).\n\nSpectral/kernel certificate: top eigenvalues [14.6283, 13.8805, 13.4492, 11.2188, 11.0551, 10.483], effective rank **21.50**, cond **14628299924606.69**.\n\n**Binding:** claim_sha14=`1d5506330cd7ca` \u00b7 ORID=`YEckWPoS09` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_2.json`](../../evidence/claim_2.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "YEckWPoS09",
    "claim_index": 2,
    "cpu_only": true,
    "domain": "spectral-kernel",
    "title_hint": "Asymptotically Optimal Sequential Testing with Markovian Data",
    "top_eigs": [
      14.628299924606686,
      13.880510473069418,
      13.449162737811324,
      11.218754180628238,
      11.05509096319001,
      10.483007924825637,
      10.374864636805354,
      10.204574283985313
    ],
    "effective_rank": 21.49822293387747,
    "cond": 14628299924606.688,
    "claim_sha14": "1d5506330cd7ca",
    "claim_snippet": "Proposition 3.1 bounds the Poisson-equation solution constant C_Q via the pseudo-spectral gap of the underlying Markov chain (Section 3, Proposition 3.1)."
  },
  "domain": "spectral-kernel",
  "orid": "YEckWPoS09",
  "space_id": "neonforestmist/markov-sequential-testing-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:05:54.273182+00:00"
}