{
 "id": "LIB2-029",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The conditional selector for occupied golden mass-ladder rungs",
 "statement": "The three-layer occupation selector has support O = {0,3,11,17} and period-two continuation {31,39}, conditional on the vacuum-to-projector bridge and the banked central sign T² = −I.",
 "scope": {
  "carrier": "Golden mass-ladder rung support and its continuation",
  "domain": "Appendix M §7's selector; not atomic orbital filling or occupation of states by particles.",
  "group": null,
  "hypotheses": [
   "The vacuum-to-projector bridge Jvac → v0 → p0 is a naturalness premise, not proved canonical.",
   "The central sign T² = −I is banked input.",
   "The selector uses the registered parity, torsion and Fano/Artin adjacency layers."
  ],
  "physical_target": null,
  "quantifier": "The support and continuation of the registered conditional selector.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": "Derived-conditional",
  "pdf_page": 6
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Paper 0",
  "section": "Executive State Map: occupation-selector row",
  "pdf_page": 6,
  "quote": "Occupation selector → Derived-Conditional: three-layer derivation (mod-2/5/7), Appendix M."
 },
 "caution": "This conditional support result does not derive its vacuum-to-projector premise, a physical mass operator or atomic-state occupation.",
 "candidate_ids": [
  "C2-068"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "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.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C04.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-029/",
 "content_sha256": "6135160202a5ec7f768c6c892f7ad47974df2dd3b37e7cb7123cd8e87885e600",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}