# LIB2-148 — The composition ladder is a finite trace invariant

- 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.129)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The finite composition weights obey Tn = (n − 2) + εn with εn = trϕ(Rn), where the trace is taken on the residual boundary-circulation class in the stated Temperley–Lieb quotient.

## Caution

The finite trace law does not on its own derive a binding energy or a continuum Yang–Mills functor.

## Primary source

Paper 9, §6, Equation (3): trace ladder, PDF p.133: "Tn = (n − 2) + εn , εn = trϕ (Rn )"

## Machine

- url: /library-v2/LIB2-148/
- content_sha256: 193fbb8203b218b098f4475e0d192dc59f277ae3aef800a16d625ce616f0bc63
- candidate_ids: C2-077

## Freshness

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