Claims & Evidence Registrar › H03
Label sentence at the locator (PDF p.153 (bytes of record)):
Thalf is the unique G2(2) -invariant generator in the (1, 3) Peirce sector of f4(4) .
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.
| carrier | The registered (1,3) Peirce-sector generator |
|---|---|
| domain | The internal generator construction. |
| group | G2(2) |
| hypotheses | The (1,3) sector and the registered Thalf normalization are fixed. |
| quantifier | The registered construction only. |
| real form | f4(4) |
Scientific status: UNDER REVIEW — the house has not adjudicated CURRENT / CONTESTED for this record (charter §10.3); a drafted claim is a claim under review, not a result.
Key — use ≠ record. A review state printed on a source use below names that use — one citation of the suite, read by the lane named in its warrant — not this record. The record's own review state is the one in the table above and is unchanged by any use-level state; a use may be LANE_PROPOSED or REVIEWED while the record it sits on remains IN_REVIEW (R45, R49).
Quotes are verbatim from the sha-pinned text extraction of the Rev33.1 PDF (A1584 §2.2, S309): mathematical typography — radicals, exponents, ≅ — can appear displaced in the extracted line. The PDF page is authoritative; the quote is what the machine gate matched.
Appendix B, §B.5, Structural support (c): generator uniqueness — PDF p.159 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS
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).
Paper 3, §5.4, Generator uniqueness reference — PDF p.63 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS · grok read THE_RECORD → SUPPORTS · gemini read SUITE_TEXT_EXTRACT → SUPPORTS
Thalf is, up to scale, the unique G2 -invariant √ generator in the (1, 3) sector (A603/E110);
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| registry | A603/E110, cited in Paper 3 §5.4, p.59; Appendix B §B.5(c), p.153 | — | shipped | The suite reports uniqueness in the registered sector; no independent generator classification is performed here. |
This table covers the values this record DECLARES, not every numeral printed on this page: group labels such as E7(7), section numbers and page numbers are not declared values and are not listed here.
| value as printed | page | digit source |
|---|---|---|
1 | PDF p.153 (bytes of record) | suite text p.153: (1,3) sector and f4(4), G2(2) labels (no kernel line found) |
3 | PDF p.153 (bytes of record) | suite text p.153: (1,3) sector and f4(4), G2(2) labels (no kernel line found) |
4 | PDF p.153 (bytes of record) | suite text p.153: (1,3) sector and f4(4), G2(2) labels (no kernel line found) |
2 | PDF p.153 (bytes of record) | suite text p.153: (1,3) sector and f4(4), G2(2) labels (no kernel line found) |
| type | target | licensed by |
|---|---|---|
related_to (never evidential) | LIB2-051 The registered half-weight generator has fixed octonionic coefficient | — |
cited_by_section | E-C05.1.claims-used (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0165, CIT-0169 |
cited_by_section | E-C05.1.derivation (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0174 |
cited_by_section | E-C05.1.prior-art (Exposition section page; use UNREVIEWED) | TEXTBOOK_CITATIONS.jsonl (S312) — CIT-0184 |
| states a predicate | yes |
|---|---|
| uses on the record · unblocked | 2 · 2 |
| uses any lane has read | 2 of 2 |
| REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanes | yes (2) |
| a SUPPORTS use on the predicate is DISPUTED | no |
| machine certificate current | yes |
| state | MACHINE_CHECKS_PASSED | |||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| policy | sgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311 | |||||||||||||||||||||
| bound to master | aad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z) | |||||||||||||||||||||
| checks |
|
A certificate says the record is well-formed, current, quote-on-page, label-literal, edge-resolved and binding-consistent on the bytes it was issued on. It is not a review, and it goes STALE the moment the master moves under it (R68). It is one conjunct of the PUBLISHED condition (R67), never the whole of it.
| March library (v1) antecedents | no legacy antecedent identified |
|---|---|
| serials | A603 |
| candidate ids (frozen list S304) | C2-158 |
Separate uniqueness subject under C2-158, not inferred merely from the fixed coefficient in G-055. The statement retains the suite's registered-sector scope rather than asserting uniqueness among arbitrary rescalings or framings.
round D1253 · parsed 2026-09-06T00:06Z · machine gates passed: CONTRACT, G1-quote-on-page, G2-numerals-declared, G4-ids-resolve, DAG-acyclic · content sha256 8b9ff2be1bb2157b24b7fa761901c94c33d2b0f1756ed498e3f99ee225d26410
Reviewer verdict line (one per entry, as text): LIB2-052 | PASS or FAIL(G1–G8) or NOT RUN | quote | PDF page | one sentence. G1 source supports the exact scoped assertion · G2 evidence class fits (numbers ≡ digit source) · G3 labels as printed, not converted · G4 comparison typed · G6 public scope · G7 history real · G8 caution present and true. Machine surfaces: index.json · capsule.md.
Generated from library_v2.jsonl. Declared volatile fields (R36): BUILD_STAMP.
BUILD_STAMP S371a · 2026-09-26T22:53Z · master 01d1a5873ede42f5 · cut 9dcc6ce9a8ee3e02