{
  "id": "EXT-01",
  "uri": "https://cosmological-constant.org/claims/#EXT-01",
  "record_type": "Scientific claim",
  "status": "Derived",
  "dependencies": [
    "VAC-01",
    "VAC-02"
  ],
  "downstream_claims": [
    "EXT-02",
    "SM-01",
    "IR-01",
    "GR-01",
    "CMP-01"
  ],
  "source_status": "Derived here",
  "technical_statement": "Among local linear constant-Weyl responses of the renormalised effective action on round conformally flat S4 satisfying counterterm invariance and conformal-flatness universality, the unique nonvanishing H-independent scheme-independent matter datum is the type-A Euler anomaly coefficient.",
  "public_statement": "Within the stated compact response class, one nonzero universal matter datum survives: the type-A Euler anomaly coefficient.",
  "qualifier": "",
  "source_in_paper": "CC Paper I v1.0, Theorem “Euler extraction on conformally flat S4”",
  "external_foundations": "Duff1994; Deser1993; WessZumino1971",
  "limits_open_issues": "Class-relative uniqueness; do not state universal uniqueness across all observables or backgrounds.",
  "relations": "",
  "version_history": "v1.2; v1.3 (2026-08-01): source citation updated to the paired-cap revision.",
  "register_version": "v1.6"
}