{
 "id": "LIB2-106",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The exact single-chi additive ratio completion fails on the registered support",
 "statement": "The exact single-χ completion r = χ²/(ϕ²ᴺ + χ²) fails on every bijection of the occupancy support {0,3,11,17}, with 0/24 admissible bijections.",
 "scope": {
  "carrier": "The single-χ additive mass-ratio completion on the registered occupancy depths",
  "domain": "The exact single-χ ratio class; the ordered depth skeleton and approximate shape are separate.",
  "group": null,
  "hypotheses": [
   "Use one universal χ in the ratio formula stated in Appendix O, Remark 5.2.",
   "Test the charged-lepton and up-type ratios on the specified occupancy support."
  ],
  "physical_target": null,
  "quantifier": "Every bijection of the registered support in the stated ratio test.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": "REFUTED",
  "pdf_page": 7
 },
 "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 O",
  "section": "§5, Remark 5.2: single-chi test",
  "pdf_page": 276,
  "quote": "an exact single-χ closure fails on every bijection of the support (0/24 admissible;"
 },
 "caution": "This exact-class failure leaves the depth skeleton and approximate shape intact and is not a universal two-parameter no-go.",
 "candidate_ids": [
  "C2-055"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-029"
  }
 ],
 "url": "/library-v2/LIB2-106/",
 "content_sha256": "8d0d1ff48e7bf51c70a742c2f79e4497b62e152c99fa63588f6294f67b2cb1b2",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}