{
  "id": "EXT-02",
  "uri": "https://cosmological-constant.org/claims/#EXT-02",
  "record_type": "Scientific claim",
  "status": "Derived",
  "dependencies": [
    "EXT-01"
  ],
  "downstream_claims": [
    "SRC-01"
  ],
  "source_status": "Derived here",
  "technical_statement": "At a conformal fixed point the Euler coefficient is isolated by A[Gamma] = -(1/4) Pi_H0(d Gamma/d ln H), because d Gamma_Euler/d ln H = -4a; away from a fixed point the corresponding local-RG Euler-cocycle projection is used after beta-function and operator-mixing terms are separated.",
  "public_statement": "A constant-Weyl projector removes local counterterm contamination and isolates the Euler response.",
  "qualifier": "",
  "source_in_paper": "CC Paper I v1.0, Sec. 4, Eq. (10) and proof",
  "external_foundations": "WessZumino1971; Riegert1984; Osborn1991; Aminov2026; Frob2025",
  "limits_open_issues": "Running-theory statement requires beta-function and operator-mixing responses to be separated by the local-RG Euler projector.",
  "relations": "",
  "version_history": "v1.2; v1.3 (2026-08-01): source citation updated to the paired-cap revision.; v1.4 (2026-08-03): projector sign corrected to -(1/4), following d Gamma_Euler/d ln H = -4a; fixed-point and local-RG cases as before",
  "register_version": "v1.6"
}