{
 "id": "LIB2-054",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The finite tick has an additive mirror-reversing grading",
 "statement": "The banked clock weight is an exact Z4-valued grading, additive under composition and reversed by the mirror on the full registered generator set.",
 "scope": {
  "carrier": "The banked winding-category generators",
  "domain": "An internal grading, not a spacetime identification.",
  "group": "Z4 grading",
  "hypotheses": [
   "Use the registered composition and mirror operations on the full generator set."
  ],
  "physical_target": null,
  "quantifier": "The full registered generator set.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 269
 },
 "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 P",
  "section": "§2, Theorem 2.1: tick grading",
  "pdf_page": 284,
  "quote": "The Z4 clock weight of the banked grading behaves as a momentum-like quantum number modulo 4: the grading law, additivity under composition, and reversal under the mirror are all exact on the full generator set."
 },
 "caution": "This grading is not a physical momentum conjugate to a constructed compact coordinate.",
 "candidate_ids": [
  "C2-029"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "cited_by_section",
   "target": "E-C05.2.claims-used"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.prior-art"
  },
  {
   "type": "cited_by_section",
   "target": "E-C05.2.sources-receipt"
  }
 ],
 "url": "/library-v2/LIB2-054/",
 "content_sha256": "7c086a7c8178e69bdb1ca0c8b4313ba6907e02a39282aa9235ed36c3a474367c",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}