# LIB2-179 — The registered stabilizer has no nonzero invariant odd covector

- 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.316)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The largest registered stabilizer subgroup preserving J− has no nonzero invariant covector on J−, blocking the attempted invariant scalar row.

## Caution

The invariant-row obstruction does not exclude a state-dependent covariant response or determine its physical normalization.

## Primary source

Appendix T, §15.2, Invariant scalar-row attempt, PDF p.334: "The first attempt demanded an invariant scalar row ℓodd : J− → R."

## Machine

- url: /library-v2/LIB2-179/
- content_sha256: f7c88f241838fe785711f6e3f18a1b39d9c15ce04414775755b174665be20e44
- candidate_ids: C2-134

## Freshness

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