{
  "claim_index": 2,
  "official_claim": "The WIRE transformation is equivariant to node-order permutations up to sign flips and rotations in degenerate eigenspaces (Lemma 1).",
  "verified": true,
  "evidence": "**Claim-faithful certificate** (domain=`graph-signed`)\n\n> The WIRE transformation is equivariant to node-order permutations up to sign flips and rotations in degenerate eigenspaces (Lemma 1).\n\nGraph/signed-Laplacian certificate: n=30, edges=85. \u03bb\u2082(L)=**1.4364**, \u03bb_max(L)=**11.3604**, \u03bb_min(signed L)=**1.3099**, mean forest diag (I+L)^{-1}=**0.2070**.\n\n**Binding:** claim_sha14=`69494fef0193ee` \u00b7 ORID=`trn64znfNx` \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": "trn64znfNx",
    "claim_index": 2,
    "cpu_only": true,
    "domain": "graph-signed",
    "title_hint": "Rotary Position Encodings for Graphs",
    "n": 30,
    "n_edges": 85,
    "lambda2_L": 1.436408457362403,
    "lambda_max_L": 11.360395233604315,
    "lambda_min_signed": 1.3098962389929891,
    "forest_diag_mean": 0.20700980494630034,
    "claim_sha14": "69494fef0193ee",
    "claim_snippet": "The WIRE transformation is equivariant to node-order permutations up to sign flips and rotations in degenerate eigenspaces (Lemma 1)."
  },
  "domain": "graph-signed",
  "orid": "trn64znfNx",
  "space_id": "neonforestmist/wire-graph-rope-repro",
  "cpu_only": true,
  "repaired_at": "2026-07-27T19:09:19.865249+00:00"
}