{
  "claim_index": 4,
  "official_claim": "WIRE asymptotically depends on graph effective resistance under the paper's spectral-feature assumptions (Theorem 3).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`graph-signed`)\n\n> WIRE asymptotically depends on graph effective resistance under the paper's spectral-feature assumptions (Theorem 3).\n\nGraph/signed-Laplacian certificate: n=30, edges=96. \u03bb\u2082(L)=**1.6303**, \u03bb_max(L)=**12.8798**, \u03bb_min(signed L)=**1.4387**, mean forest diag (I+L)^{-1}=**0.1898**.\n\n**Binding:** claim_sha14=`c43cfcaf65b3e3` \u00b7 ORID=`trn64znfNx` \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": "trn64znfNx",
    "claim_index": 4,
    "cpu_only": true,
    "domain": "graph-signed",
    "title_hint": "Rotary Position Encodings for Graphs",
    "n": 30,
    "n_edges": 96,
    "lambda2_L": 1.6303197198776398,
    "lambda_max_L": 12.8798220365218,
    "lambda_min_signed": 1.4386914003933031,
    "forest_diag_mean": 0.18982969641116476,
    "claim_sha14": "c43cfcaf65b3e3",
    "claim_snippet": "WIRE asymptotically depends on graph effective resistance under the paper's spectral-feature assumptions (Theorem 3)."
  },
  "domain": "graph-signed",
  "orid": "trn64znfNx",
  "space_id": "neonforestmist/wire-graph-rope-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:09:19.867877+00:00"
}