# LIB2-180 — The transported A689 grading has trivial rather than alternating character

- 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 transported A689 split-norm Z2 grading carries the trivial, not alternating, S3 character, so its direct identification with Hsgn is closed negative.

## Caution

This character mismatch does not eliminate covariant source-character intertwiners or select an endpoint orientation.

## Primary source

Appendix T, §15.2, Grading character, PDF p.334: "the A689 split-norm Z2 was computed to carry the trivial, not the alternating, S3 character [A1556]."

## Machine

- url: /library-v2/LIB2-180/
- content_sha256: f6682a9f7eb0bd07e781c0ec7ec7ad488994ffc8d63b0689c8a5c82d2b720907
- candidate_ids: C2-134

## Freshness

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