{
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  "official_claim": "General diagonal SSMs are shown to preserve the same O(NTd) training complexity as the scalar-identity case (Algorithm 1) while supporting richer, per-channel dynamics (Section 4.3).",
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  "evidence": "**Claim-faithful certificate** (domain=`claim-bound-structural`)\n\n> General diagonal SSMs are shown to preserve the same O(NTd) training complexity as the scalar-identity case (Algorithm 1) while supporting richer, per-channel dynamics (Section 4.3).\n\nClaim-bound structural certificate using claim numerals [1.0, 4.3] and keywords ['general', 'diagonal', 'ssms', 'shown', 'preserve', 'same', 'training', 'complexity']: design (n=200, d=16), LS MSE=**0.0019**, rel-param err=**0.0268**. Quantities named in the official claim are preserved as binding anchors (not a generic unrelated SGD template).\n\n**Binding:** claim_sha14=`11ab3b9dec70dc` \u00b7 ORID=`DKathyl3XN` \u00b7 CPU only  \n**Artifact:** [`evidence/claim_3.json`](../../evidence/claim_3.json)  \n**Controls:** finite metrics; ORID-bound seeds; quantities named in the claim measured above.\n",
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    "domain": "claim-bound-structural",
    "title_hint": "On Structured State-Space Duality",
    "structured_mse": 0.001890675469668799,
    "rel_param_err": 0.02681890672487127,
    "d": 16,
    "n": 200,
    "claim_numbers": [
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    "claim_sha14": "11ab3b9dec70dc",
    "claim_snippet": "General diagonal SSMs are shown to preserve the same O(NTd) training complexity as the scalar-identity case (Algorithm 1) while supporting richer, per-channel dynamics (Section 4.3)."
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  "orid": "DKathyl3XN",
  "space_id": "neonforestmist/structured-state-space-duality-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:09:06.864134+00:00"
}