{
 "id": "LIB2-115",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The unrestricted residue map can reproduce any positive Yukawa quartet",
 "statement": "The registered residue-incidence map has rank 4 over eight independent Z-factors, so free field residues can realize any positive Yukawa quartet.",
 "scope": {
  "carrier": "The log-residue incidence map on the four registered Yukawa channels",
  "domain": "Freedom of the unconstrained residue map, not residues derived from a parent.",
  "group": null,
  "hypotheses": [
   "Use the stated four channel supports and eight independent positive residue factors.",
   "The common vertex normalization is fixed."
  ],
  "physical_target": null,
  "quantifier": "The registered construction and its stated hypotheses.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 230
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "analytic",
   "availability": "shipped"
  }
 ],
 "primary_source": {
  "component": "Appendix K",
  "section": "§3.5, Incidence rank",
  "pdf_page": 242,
  "quote": "The corresponding 4 × 8 incidence matrix has rank 4 (each channel carries a unique pivot Z-factor)."
 },
 "caution": "Reproducing a quartet through free residues does not explain it; the parent must determine the residues and thresholds.",
 "candidate_ids": [
  "C2-050"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [],
 "url": "/library-v2/LIB2-115/",
 "content_sha256": "376fbeab5bc533b5c24ea833c48378191a23df66ddf70f16e979d4fc12c9a0af",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}