# LIB2-094 — A continuous Reynolds offset does not supply the discrete rung selector

- 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.252)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

For the registered resolvent depth ladder, a continuous Reynolds-offset spurion can shift positions but cannot leap the discrete integer steps; the occupation selector remains a winding datum.

## Caution

The distinction does not construct the winding selector or remove the premises of the conditional occupation result.

## Primary source

Appendix N, §1.4, Leg 4: continuous offset and winding selection, PDF p.265: "can shift positions on the ladder but cannot leap its discrete integer steps; therefore the integer selector (the occupation of Appendix M, in Paper 0’s bound sense: which integer rungs are occupied; Rev32.9, A1647 U1) is a discrete topological (winding) datum, not a continuous correction."

## Machine

- url: /library-v2/LIB2-094/
- content_sha256: 04f7f477b5952e599d90e3e4cfb198962b60e899c9c860c2b64d8b824609e96e
- candidate_ids: C2-068

## Freshness

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