{
 "id": "LIB2-173",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The ordered state pair supplies the additive relative modular score",
 "statement": "For the registered ordered golden state pair, the additive half-log score is Krel = Dϕ = diag(1,0,−1) on the golden lattice.",
 "scope": {
  "carrier": "The ordered golden state pair and its relative modular score",
  "domain": "The score associated with the supplied state pair, not a natural point of the bare module.",
  "group": null,
  "hypotheses": [
   "Use the ordered state pair of Theorem 10.1 and its additivity premise."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated premises.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 309
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Appendix T",
  "section": "§10, Theorem 10.1: half-log score",
  "pdf_page": 326,
  "quote": "the half-log score is diag(1, 0, −1) on the golden lattice: Krel = Dφ ."
 },
 "caution": "The score does not intrinsically select the ordered state pair or construct the microscopic mass/generation readout.",
 "candidate_ids": [
  "C2-093"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "rests_on_premise",
   "target": "PRM-005"
  }
 ],
 "url": "/library-v2/LIB2-173/",
 "content_sha256": "761686913f82c21c86503a16372cc83457199e28aa72502e45e97dbc6529998b",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}