{
 "id": "LIB2-109",
 "entry_version": 10,
 "class": "CLAIM",
 "title": "The loaded one-generation dictionary cancels the stated anomalies",
 "statement": "Under the explicit B + SU(5) embedding, the one-generation Standard-Model gauge anomaly sums vanish and the mixed U(1)-gravitational anomaly sum vanishes, and the Witten SU(2) anomaly is absent.",
 "scope": {
  "carrier": "The loaded one-generation chiral matter and hypercharges",
  "domain": "Anomaly cancellation for the specified field dictionary.",
  "group": "Compact SU(3)c × SU(2)L × U(1)Y",
  "hypotheses": [
   "Use the explicit B + SU(5) embedding and the left-handed Weyl convention.",
   "The compact Standard-Model action is fixed."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "Proved",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 29
 },
 "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 1",
  "section": "§8, Local anomaly sums",
  "pdf_page": 30,
  "quote": "In the left-handed Weyl convention the local anomaly coefficients all vanish (kernel-verified, cross-checked in house, A696):"
 },
 "caution": "Anomaly cancellation does not select the compact embedding or determine the number of complete generations.",
 "candidate_ids": [
  "C2-040"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "depends_on",
   "target": "LIB2-108"
  }
 ],
 "url": "/library-v2/LIB2-109/",
 "content_sha256": "b7deadf09408e662562d4e8d27fafff66b490167b79fed894f7b09fe1b727c5e",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}