{
 "id": "LIB2-040",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "An RB-even action cannot select the horizontal-orbit sign",
 "statement": "For X in the registered horizontal 16-dimensional sector, every RB-conjugation-invariant scalar obeys S(exp(2tX)) = S(exp(−2tX)), so an RB-even action cannot resolve that sign.",
 "scope": {
  "carrier": "The horizontal 16-dimensional sector and its exponential orbit",
  "domain": "The horizontal sign pair in the declared even-action class.",
  "group": null,
  "hypotheses": [
   "RB e^(2tX) RB = e^(-2tX) in the registered carrier.",
   "S is invariant under RB conjugation."
  ],
  "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": 167
 },
 "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": "§6(v), Even-action sign obstruction",
  "pdf_page": 173,
  "quote": "An RB -even action cannot resolve the sign — the parity of the law, not its strength, is what fails."
 },
 "caution": "This symmetry obstruction requires an RB-odd ingredient somewhere; it does not itself construct or select that ingredient.",
 "candidate_ids": [
  "C2-105"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "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/LIB2-040/",
 "content_sha256": "f1b7528434a495572f8ab5326545f4ebecf65eb5891c196bb308676232cbe6c6",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}