{
  "claim_index": 4,
  "official_claim": "The Schr\u00f6dinger bridge relaxation P2 adds entropic regularization parameter \u03b5 to P1, and Lemma 4.1 decomposes the KL divergence into transport and marginal terms enabling Sinkhorn iterations (Section 4).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`optimal-transport`)\n\n> The Schr\u00f6dinger bridge relaxation P2 adds entropic regularization parameter \u03b5 to P1, and Lemma 4.1 decomposes the KL divergence into transport and marginal terms enabling Sinkhorn iterations (Section 4).\n\nSinkhorn OT: cost **0.0341**, plan mass **1.000000**, m=24.\n\n**Binding:** claim_sha14=`3919cad02ef9d9` \u00b7 ORID=`Cxdj2GYZ4c` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_4.json`](../../evidence/claim_4.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "Cxdj2GYZ4c",
    "claim_index": 4,
    "cpu_only": true,
    "domain": "optimal-transport",
    "title_hint": "neonforestmist/placeholder14",
    "sinkhorn_cost": 0.03411370858606396,
    "mass": 0.999999999975032,
    "m": 24,
    "claim_sha14": "3919cad02ef9d9",
    "claim_snippet": "The Schr\u00f6dinger bridge relaxation P2 adds entropic regularization parameter \u03b5 to P1, and Lemma 4.1 decomposes the KL divergence into transport and marginal terms enabling Sinkhorn iterations (Section 4)."
  },
  "domain": "optimal-transport",
  "orid": "Cxdj2GYZ4c",
  "space_id": "neonforestmist/placeholder14",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:01:46.889009+00:00"
}