# LIB2-106 — The exact single-chi additive ratio completion fails on the registered support

- class: CLAIM · review_state: PUBLISHED · house_tier: not yet assigned
- labels as printed: math_status NOT_PRINTED · attachment NOT_PRINTED · scorecard tier word REFUTED (PDF p.7)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

The exact single-χ completion r = χ²/(ϕ²ᴺ + χ²) fails on every bijection of the occupancy support {0,3,11,17}, with 0/24 admissible bijections.

## Caution

This exact-class failure leaves the depth skeleton and approximate shape intact and is not a universal two-parameter no-go.

## Primary source

Appendix O, §5, Remark 5.2: single-chi test, PDF p.276: "an exact single-χ closure fails on every bijection of the support (0/24 admissible;"

## Machine

- url: /library-v2/LIB2-106/
- content_sha256: 8d0d1ff48e7bf51c70a742c2f79e4497b62e152c99fa63588f6294f67b2cb1b2
- candidate_ids: C2-055

## Freshness

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