{
 "id": "LIB2-073",
 "entry_version": 8,
 "class": "CLAIM",
 "title": "The first-row weight is not a universal Peirce-block functor",
 "statement": "The naive S3 orbit-average map F(θ) = sin θ/√6 fails on |Vcb| by a factor 6.6, so the first-row weight is block-dependent rather than a universal functor.",
 "scope": {
  "carrier": "The proposed uniform map across the registered Peirce blocks",
  "domain": "Failure of this particular universal-weight map, not every block-dependent rule.",
  "group": null,
  "hypotheses": [
   "Apply the stated first-row form to the Vcb block as in the source control."
  ],
  "physical_target": "Uniform mixing-weight transfer test",
  "quantifier": "The registered readout and its stated premises.",
  "real_form": null
 },
 "source_labels_as_printed": {
  "math_status": "NOT_PRINTED",
  "attachment": "NOT_PRINTED",
  "scorecard_tier_word": null,
  "pdf_page": 59
 },
 "house_tier": null,
 "review_state": "PUBLISHED",
 "scientific_status": "UNDER_REVIEW (house status not yet adjudicated)",
 "evidence_status": [
  {
   "kind": "computational",
   "availability": "unknown"
  }
 ],
 "primary_source": {
  "component": "Paper 3",
  "section": "§5.2, Universal-weight control",
  "pdf_page": 63,
  "quote": "naive S3 -orbit- average functor F (θ) = sin θ/ 6 fails on |Vcb | by 6.6× (s1105: F (θ23 ) = sin θ23 / 6 = 0.270031 at sin2 θ23 =√7/16, which √ is 6.635 times the PDG comparator 0.0407 and 6.430 times the framework’s own 1/(9 7)), so 1/ 6 is a Peirce-block-dependent weight, not a functor;"
 },
 "caution": "This control does not refute the first-row factorization or supply the missing block-dependent rule.",
 "candidate_ids": [
  "C2-062"
 ],
 "basis": {
  "pdf_sha256_prefix": "b64ddcd9e16a6dcd",
  "release": "Rev33.1_S369"
 },
 "relationships": [
  {
   "type": "related_to",
   "target": "LIB2-050"
  },
  {
   "type": "related_to",
   "target": "LIB2-066"
  }
 ],
 "url": "/library-v2/LIB2-073/",
 "content_sha256": "10c91c533f2c9ed3f667b82b13d8e953dc964469fcf3965e59d30d2d18d469af",
 "build_stamp": "BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02"
}