# LIB2-100 — The registered octant construction does not exclude the mirror registration

- 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.257)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The chirality torsor {−1,+1} and octant torsor {7/16,9/16} admit two equivariant identifications, and no registered action term, operator, intertwiner or readout excludes the countermap.

## Caution

The nonselection result does not refute the internal mismatch identity or derive a theory-fixed odd coupling sign.

## Primary source

Appendix N, §6, Octant-registration fence, PDF p.269: "the chirality torsor {−1, +1} and the octant torsor {7/16, 9/16} admit exactly two Z2 -equivariant identifications (s1156: −1 7→ 7/16 and its mirror), and no registered action term, operator, intertwiner or readout map excludes the countermap."

## Machine

- url: /library-v2/LIB2-100/
- content_sha256: c510a36d7ca1710840846b75a52048dda08956d2687080c8f6257baf11c84b7d
- candidate_ids: C2-005 C2-059

## Freshness

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