{
  "id": "INT-04",
  "uri": "https://cosmological-constant.org/claims/#INT-04",
  "record_type": "Scientific claim",
  "status": "Standard input",
  "dependencies": [
    "SAD-01",
    "SAD-02"
  ],
  "downstream_claims": [],
  "technical_statement": "For the selected round-S4 saddle, |S_E| = 3 pi M_P^2/Lambda = S_dS, with the selected damped orientation (SAD-02) the sector weight is exp(-S_dS); at the selected boundary S_dS=24 pi^2. An exact identity for the classical on-shell saddle in the stated conventions; not asserted as an all-orders quantum-gravity identity.",
  "public_statement": "With the selected damped orientation, the compact weight is the entropy suppression exp(-S_dS), where S_dS is the de Sitter entropy of the compact saddle.",
  "qualifier": "The entropy belongs to the ultraviolet compact saddle, not the observed late-time universe.",
  "source_in_paper": "CC Paper I v1.0, Sec. 9, Eq. (24)",
  "external_foundations": "",
  "limits_open_issues": "Standard geometric identity applied to the selected sector; not a separate derivation.",
  "relations": "",
  "version_history": "v1.3 (2026-08-01): added.; v1.4 (2026-08-03): classical on-shell scope stated.; v1.4b (2026-08-04): suppressing exponential made explicitly conditional on the selected orientation; SAD-02 added.; v1.6 (2026-08-08): public wording corrected from 'the exponential of the de Sitter entropy' (which reads as exp(+S)) to the explicit suppression exp(-S_dS)",
  "register_version": "v1.6"
}