{
 "id": "LIB2-022",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The finite selector closure retains the stated boundary and coupling price",
 "statement": "The incremental price of the declared finite selector closure is 10 + 1 continuous: one ten-continuous boundary object, represented in three equivalent ways, and one positive dark coupling; discrete lifts remain degeneracies rather than consumed data.",
 "scope": {
  "carrier": "Boundary datum [j] ⇔ L∂ ⇔ E* and dark coupling κd",
  "domain": "Incremental price of this selector closure, not a total for the whole programme.",
  "group": null,
  "hypotheses": [
   "The frozen-frame finite/internal loaded-profile class is fixed.",
   "The boundary equivalence concerns the three registered faces of one datum."
  ],
  "physical_target": null,
  "quantifier": "The declared class only.",
  "real_form": "Split-real 56-frame"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 170
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "registry",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix E",
  "section": "§7, Boundary datum: three faces",
  "pdf_page": 175,
  "quote": "The datum the action is conditional on is single: [j] ⇐⇒ L∂ ⇐⇒ E ∗ = span{iB j, ΩiB j} — three faces of one ten-continuous boundary object, priced once."
 },
 "caution": "This incremental price neither derives the boundary datum nor supplies a programme-wide count of physically distinguishable inputs.",
 "candidate_ids": [
  "C2-105"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-021"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.derivation"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-022/",
 "content_sha256": "8f1d264322081cd7eb8e41cf3f6deede48dfc0cc40d5404992fdc5fea42b290c",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}