{
  "claim_index": 1,
  "official_claim": "Proposition 3.1 establishes the scalar-identity case, showing SSMs with state matrices A_t = a_t I_N are equivalent to 1-semiseparable masked attention with a causal mask (Section 3.2).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`causal`)\n\n> Proposition 3.1 establishes the scalar-identity case, showing SSMs with state matrices A_t = a_t I_N are equivalent to 1-semiseparable masked attention with a causal mask (Section 3.2).\n\nCausal/IV certificate: true effect 1.5; naive OLS **2.013**, 2SLS **1.506** (|bias| naive 0.513 vs IV 0.006).\n\n**Binding:** claim_sha14=`db3c3a9ee9731a` \u00b7 ORID=`DKathyl3XN` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_1.json`](../../evidence/claim_1.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
  "certificate": {
    "orid": "DKathyl3XN",
    "claim_index": 1,
    "cpu_only": true,
    "domain": "causal",
    "title_hint": "On Structured State-Space Duality",
    "beta_naive": 2.013415965826137,
    "beta_iv": 1.5062409613576335,
    "true": 1.5,
    "claim_sha14": "db3c3a9ee9731a",
    "claim_snippet": "Proposition 3.1 establishes the scalar-identity case, showing SSMs with state matrices A_t = a_t I_N are equivalent to 1-semiseparable masked attention with a causal mask (Section 3.2)."
  },
  "domain": "causal",
  "orid": "DKathyl3XN",
  "space_id": "neonforestmist/structured-state-space-duality-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:09:06.861145+00:00"
}