# LIB2-081 — The compact-completion result is conditional and enumeration-bounded

- 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.178)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

Under the fixed sixteen-Weyl-fermion package, its hypercharges, the 10H-only scalar sector and the full-colour-plus-weak-action clause, the enumerated compact low-energy completions leave GSM up to U(1)B−L and global structure Γ.

## Caution

The result neither derives the input gauge group nor classifies every compact reductive group on the matter space.

## Primary source

Appendix F, §4, Theorem 4.1: fixed package, PDF p.183: "Fix the derived one-generation package: exactly the sixteen Weyl fermions of the 16 with the derived hypercharges YSM , and the 10H -only scalar sector."

## Machine

- url: /library-v2/LIB2-081/
- content_sha256: 4eb29f47e8d42ba45c13b85c207f685b7c70815741db174bd2771ce905a4e04c
- candidate_ids: C2-043

## Freshness

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