Claims & Evidence Registrar › H07
Label sentence at the locator (PDF p.316 (bytes of record)):
At record-quotient tier a unital completely positive channel exists,
At record-quotient tier, the unital completely positive channel Wλ,τ exists for |λ| ≤ √2 and reproduces the local odd leg at |λ| = √2; whitening does not force that endpoint.
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 registered unital completely positive record-quotient channel |
|---|---|
| domain | The channel family and its endpoint, not a selected microscopic amplitude. |
| hypotheses | Use the registered source whitening, covariance, zero-effect and torsor properties. |
| 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, §15.3, Record-quotient channel existence — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
At record-quotient tier a unital completely positive channel exists,
Appendix T, §15.3, Odd-leg endpoint — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
and reproduces the local odd leg at the endpoint |λ| = 2 [A1558].The text extraction above lost mathematical typography. Restored from the sealed TeX source (
rev32.7/tex/appendix_t_cartan_observation.tex:1012): and reproduces the local odd leg at the endpoint |λ|=√2 [A1558]. (R87 house restoration: rendered from the tex, not the quote; the quote above is what the machine gate matched)
Appendix T, §15.3, Whitening does not force the endpoint — PDF p.334 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS
Appendix-T whitening does not force that endpoint: channels with distinct λ share the registered source whitening, covariance, zero-effect and torsor properties [A1558].
| kind | reference | line / key | availability | note |
|---|---|---|---|---|
| computational | A1558; s1148 house channel check, Appendix T §15, pp.314,316 | — | unknown | The suite reports the channel and exact house check. The channel matrices, verifier and original output are not 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 |
|---|---|---|
√2 | PDF p.316 (bytes of record) | closed form: |λ| ≤ √2 and endpoint |λ| = √2 in §15.3; radicals displaced in the extraction |
Each row is a house-declared use of a registered premise (R37). DECLARED is the house's editorial judgment only; a use becomes REVIEWED when two non-drafting lanes, reading different objects, agree the premise is LOAD_BEARING for this record's result. REJECTED rows were retired by ruling and are shown for provenance.
| use | state | premise | role | why the house declared it · reads |
|---|---|---|---|---|
USE-0015 | REJECTED by PI (R78) | PRM-005 (PRM-005/r1) — AX-MOS | adopted_physical | The MOS channel family at record-quotient tier, using registered whitening/covariance/zero-effect/torsor properties. |
| type | target | licensed by |
|---|---|---|
related_to (never evidential) | LIB2-181 The local covariant odd response is one orbit with an unselected torsor | — |
related_to (never evidential) | LIB2-175 The supported MOS quotient has rank three and relative rank two | — |
| 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 (3) |
| 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-NORM-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 | A1558 s1148 |
| candidate ids (frozen list S304) | C2-135 |
Channel-bound child of C2-135. The source's radicals are displaced in the extraction and the endpoint quotation is left unchanged; no full channel formula is reconstructed. The score-solder bound is a separate source law in G-187.
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 b6fc3e1b5faa410ea900cad2a202eb7cfee4015a5add17f71b7f4b271a2f5bfb
Reviewer verdict line (one per entry, as text): LIB2-182 | 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