# LIB2-052 — The fixed Peirce sector has the registered unique invariant generator

- 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.153)
- basis: {"pdf_sha256_prefix": "b64ddcd9e16a6dcd", "release": "Rev33.1_S369"}

## Statement

Within the registered (1,3) Peirce-sector construction of f4(4), Thalf is, up to scale, the unique G2(2)-invariant generator; the scale is fixed by the normalisation Thalf = Tscalar + ½Toct.

## Caution

Sector-relative uniqueness does not select the sector itself or prove the physical phase attachment.

## Primary source

Appendix B, §B.5, Structural support (c): generator uniqueness, PDF p.159: "Thalf is, up to scale, the unique G2(2) -invariant generator in the (1, 3) Peirce sector of f4(4) ; the scale is the normalisation Thalf = Tscalar + 12 Toct of the item above (Rev32.9)."

## Machine

- url: /library-v2/LIB2-052/
- content_sha256: 8b9ff2be1bb2157b24b7fa761901c94c33d2b0f1756ed498e3f99ee225d26410
- candidate_ids: C2-158

## Freshness

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