# LIB2-054 — The finite tick has an additive mirror-reversing grading

- 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.269)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The banked clock weight is an exact Z4-valued grading, additive under composition and reversed by the mirror on the full registered generator set.

## Caution

This grading is not a physical momentum conjugate to a constructed compact coordinate.

## Primary source

Appendix P, §2, Theorem 2.1: tick grading, PDF p.284: "The Z4 clock weight of the banked grading behaves as a momentum-like quantum number modulo 4: the grading law, additivity under composition, and reversal under the mirror are all exact on the full generator set."

## Machine

- url: /library-v2/LIB2-054/
- content_sha256: 7c086a7c8178e69bdb1ca0c8b4313ba6907e02a39282aa9235ed36c3a474367c
- candidate_ids: C2-029

## Freshness

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