# LIB2-149 — The residual-circulation weights obey the printed piecewise rule

- 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 registered residual trace weights are ε5 = −ϕ⁻², ε6 = 0 and εn = ϕ^(5−n) for n ≥ 7.

## Caution

The piecewise weight rule does not by itself define a physical energy correction or justify an untyped change to a binding formula.

## Primary source

Paper 9, §6, Pentagon residual trace, PDF p.133: "ε5 = −φ−2 (the pentagon F -move coherence loop: the killed channel appears once, negative trace),"

## Machine

- url: /library-v2/LIB2-149/
- content_sha256: fe0dccdd211bcf83c37e8d3c29da4d859a5f6566da031df2df98f94ce13e8fc3
- candidate_ids: C2-077

## Freshness

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