{
 "id": "LIB2-081",
 "entry_version": 7,
 "class": "CLAIM",
 "title": "The compact-completion result is conditional and enumeration-bounded",
 "statement": "Under the fixed sixteen-Weyl-fermion package, its hypercharges, the 10H-only scalar sector and the full-colour-plus-weak-action clause, the enumerated compact low-energy completions leave GSM up to U(1)B−L and global structure Γ.",
 "scope": {
  "carrier": "The fixed one-generation matter, charge and 10H-only scalar package",
  "domain": "Uniqueness of completion in the stated class, not gauge-group emergence.",
  "group": "GSM and the stated U(1)B−L extension",
  "hypotheses": [
   "Fix the sixteen Weyl fermions and their registered YSM charges.",
   "Retain only the 10H scalar sector.",
   "Require gauging the full derived colour and weak action.",
   "Restrict the result to the exhausted foil family and adversary directions."
  ],
  "physical_target": null,
  "quantifier": "The printed finite completion inventory.",
  "real_form": "Compact reductive low-energy completions"
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 178
 },
 "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 F",
  "section": "§4, Theorem 4.1: fixed package",
  "pdf_page": 183,
  "quote": "Fix the derived one-generation package: exactly the sixteen Weyl fermions of the 16 with the derived hypercharges YSM , and the 10H -only scalar sector."
 },
 "caution": "The result neither derives the input gauge group nor classifies every compact reductive group on the matter space.",
 "candidate_ids": [
  "C2-043"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-081/",
 "content_sha256": "4eb29f47e8d42ba45c13b85c207f685b7c70815741db174bd2771ce905a4e04c",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}