{
 "id": "LIB2-032",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The frozen H2 conditions do not select the coefficient map",
 "statement": "At the frozen H2 tier, two disjoint symbolic candidates of rank 2 pass the same 13 gates and 30 controls, and no banked selection polynomial separates them.",
 "scope": {
  "carrier": "The two symbolic rank-two coefficient-map candidates",
  "domain": "The scoped coefficient-independence result, not every possible higher-tier source law.",
  "group": null,
  "hypotheses": [
   "The H2 tier, gates, controls and banked selection-polynomial inventory are frozen."
  ],
  "physical_target": null,
  "quantifier": "The declared class only.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 171
 },
 "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 E",
  "section": "§8, C0 independence theorem",
  "pdf_page": 177,
  "quote": "At the frozen H2 tier the six-coefficient freedom is countermodel-grade: two disjoint symbolic rank-2 candidates pass all 13 gates and 30 controls identically, and no banked selection polynomial separates them"
 },
 "caution": "A higher-tier Sjoint, if supplied, may still derive the coefficients; the present countermodels do not exclude it.",
 "candidate_ids": [
  "C2-118"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-031"
  },
  {
   "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/LIB2-032/",
 "content_sha256": "1059963442cf9df8b765b6459a8245428ce33e2d7986d305e8e1ef0700ba47d7",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}