Claims & Evidence Registrar › H07
Label sentence at the locator (PDF p.316 (bytes of record)):
On the transported paired-shell generation space G6 , the source intertwiner space HomS3 (J− , sgn) has real dimension four, while its normalized sphere is a single orbit of the connected covariance group.
On the transported paired-shell space, HomS3(J−,sgn) has real dimension 4; its normalized sphere is one connected-covariance orbit, leaving the endpoint-exchange torsor τ = ±1 unselected.
Each part is a clause of the statement above, cut so that one part makes one claim. A reader naming the clause a quote supports can name the part.
| carrier | The transported paired-shell generation space and its odd source-character intertwiners |
|---|---|
| domain | The local response class at the transported point, not a selected microscopic readout. |
| hypotheses | Use the transported pointed carrier and the connected covariance-group equivalence.; Normalize the source intertwiner without choosing an endpoint-exchange side. |
| quantifier | The registered construction and its stated premises. |
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 T, §15.2, Source-intertwiner space and covariance orbit — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
On the transported paired-shell generation space G6 , the source intertwiner space HomS3 (J− , sgn) has real dimension four, while its normalized sphere is a single orbit of the connected covariance group.The text extraction above lost mathematical typography. Restored from the sealed TeX source (
rev32.7/tex/appendix_t_cartan_observation.tex:993-996): On the transported paired-shell generation space G₆, the source intertwiner space Hom_(S₃)(J₋,sgn) has real dimension four, while its normalized sphere is a single orbit of the connected covariance group. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)
Appendix T, §15.2, Unspent endpoint-exchange torsor — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
with no surviving continuous source-line choice and one unspent endpoint-exchange torsor τ = ±1 [A1557].
Appendix T, §15.2, Transported-point boundary — PDF p.334 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT
This is a transported-point construction; it is not yet the full microscopic observation map.
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| computational | A1557; Appendix T §15.2, p.316 | — | unknown | The source reports the intertwiner dimension and covariance orbit. No source-intertwiner arrays or original output are supplied. |
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 |
|---|---|---|
3 | PDF p.316 (bytes of record) | suite text p.316 only (no kernel line found): HomS3 dimension and endpoint-exchange torsor |
4 | PDF p.316 (bytes of record) | suite text p.316 only (no kernel line found): HomS3 dimension and endpoint-exchange torsor |
±1 | PDF p.316 (bytes of record) | suite text p.316 only (no kernel line found): HomS3 dimension and endpoint-exchange torsor |
| type | target | licensed by |
|---|---|---|
related_to (never evidential) | LIB2-013 Local positive paired-shell polarization at the transported point | — |
related_to (never evidential) | LIB2-179 The registered stabilizer has no nonzero invariant odd covector | — |
related_to (never evidential) | LIB2-180 The transported A689 grading has trivial rather than alternating character | — |
| states a predicate | yes |
|---|---|
| uses on the record · unblocked | 3 · 3 |
| uses any lane has read | 3 of 3 |
| 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 |
|---|---|
| Track-2 claim ids | F-ODD-01 — cross-reference; the Track 1 / Track 2 join sets each one against what the sealed suite prints for this record. Where they differ, the suite is the record. |
| serials | A1557 |
| candidate ids (frozen list S304) | C2-134 |
Inhabited-class subject of C2-134. The orbit quotient removes continuous source-line choice only at the stated transported-point tier. Neither the torsor side nor the microscopic map is supplied.
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 5881646a8c47d2549361508da35526323da880c02d5f5bd1ccbf59bf5a6c354f
Reviewer verdict line (one per entry, as text): LIB2-181 | 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