# LIB2-073 — The first-row weight is not a universal Peirce-block functor

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word none (PDF p.59)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## 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.

## Caution

This control does not refute the first-row factorization or supply the missing block-dependent rule.

## Primary source

Paper 3, §5.2, Universal-weight control, PDF p.63: "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;"

## Machine

- url: /library-v2/LIB2-073/
- content_sha256: 10c91c533f2c9ed3f667b82b13d8e953dc964469fcf3965e59d30d2d18d469af
- candidate_ids: C2-062

## Freshness

- BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02
- Declared volatile fields (R36): BUILD_STAMP