C05.1 · Claims used

Registrar master of record (house-supplied identity): `cab1d95e8b1e6caad72a30cec35e7ff3bc5394cdc65354b2e17b3d65c90c298a`.

Read source: `D1258_REGISTRAR_RECORDS_S310.jsonl`, SHA-256 `2eab5ffff75a823c7a7c80ba050fca3a4116fffbaf6c4fd6de1943b9b705bfbc`. The full master bytes were not supplied, so its master digest is an attestation, not a recomputation. No live Registrar fetch was attempted.

**LIB2-046 — The golden spectrum obeys the reciprocal-square identity**

> The selected golden spectrum satisfies the exact internal identity ϕ² + ϕ⁻² = 3.

<!-- CORRECTION D11 S326 --> > **CORRECTION (2026-09-10, S326, D11).** The line below states `review_state=DRAFTED`. Every record this article cites has read **`IN_REVIEW`** since the S312 machine derivation (master `beb874fe3cdeb5aa` today), and under R65 no machine word is a review. **The point stands — review metadata is not clearance; the value it names does not.** Body unchanged (★H5).

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**LIB2-048 — The selected Jordan vacuum pair has Gram determinant seven**

> For the selected Jordan pair (Jvac,Jvac#), the trace-form Gram determinant is 7.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**LIB2-049 — The octonion-dimension to Jordan-rank ratio is an internal identity**

> The ratio dim(Os)/rank(J3) equals 8/3 as an exact dimension ratio.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**LIB2-050 — The Peirce first-row weight factors into trace and generation normalizations**

> The registered Peirce first-row weight is the exact product 1/√6 = (1/√2)(1/√3), combining the trace-form block and three-generation normalization.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**LIB2-051 — The registered half-weight generator has fixed octonionic coefficient**

> In the registered generator Thalf = Tscalar + c Toct, the C1 weight is exactly c = 1/2.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

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

> Within the registered (1,3) Peirce-sector construction of f4(4), Thalf is the unique G2(2)-invariant generator.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**LIB2-053 — Frobenius compatibility fixes the finite trace ratio**

> On the reflected module 1 ⊕ 3 ⊕ 3̄, the registered Frobenius identity forces the trace weights a = b, uniquely fixing the readout r = 2 + b/(3a) = 7/3.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**LIB2-356 — The internal mismatch identity is distinct from atmospheric registration**

> Under DET-7 and N(J) = 1, the internal Jordan-geometry mismatch identity is sin²θmismatch = 7/16; it does not itself select the physical atmospheric-octant registration.

Literal source labels: `math_status=NOT_PRINTED`; `attachment=NOT_PRINTED`; `scorecard_tier_word=null`; `house_tier=null`. `review_state=DRAFTED` is review metadata, not clearance.

**Verification allocation:** this article executes the golden scalar/Gram identities, the dimension ratio and the stated elementary normalization product. The full Frobenius constraint for LIB2-053 is executed in companion **C08.2**, not substituted by a dimension count here. The proof of the registered half-weight and its sector-relative uniqueness, LIB2-051 and LIB2-052, remains **[NOT VERIFIED]** from the absent original generator construction.

These distinctions concern what this round actually checks. They do not modify the printed labels or assign house clearance.