# LIB2-036 — An action depending only on the registered Gram map cannot select a coset point

- 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.166)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

No action factoring only through the registered Gram map GB can uniquely select a coset point, because its two-dimensional dark fibre is invisible to that map.

## Caution

This exclusion does not apply to parent actions that use additional full-carrier or boundary information.

## Primary source

Appendix E, §6(i), Gram-only selector obstruction, PDF p.172: "Consequently no action factoring only through GB can uniquely select a coset point — not obstructed at some order, but dead at every order."

## Machine

- url: /library-v2/LIB2-036/
- content_sha256: 909ab69958186f61db3b17438e4dbcd60c00a280fe99a1f2eba0d798bc24fc23
- candidate_ids: C2-105

## Freshness

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