Claims & Evidence Registrar › H06

LIB2-108 · The explicit B-map fixes a loaded one-generation field dictionary

class CLAIMmath status (as printed) Provedattachment (as printed) NOT_PRINTEDscorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Label sentence at the locator (PDF p.27 (bytes of record)):

Status under B: all one-generation quark and lepton placements and all sixteen hypercharges are PROVED under the explicit B-map (A689).

Statement

Under the explicit B-map and compact field dictionary, the one-generation quark and lepton placements and all sixteen hypercharges are fixed.

Scope

carrierThe one-generation Peirce-block field dictionary
domainThe loaded one-generation dictionary, not a derivation of the compact frame or generation count.
hypothesesUse the explicit B-map and the compact Standard-Model embedding.; The Dirac-neutrino extension is assumed.
quantifierThe registered construction and its stated hypotheses.
real formSplit Jordan carrier with a loaded compact gauge dictionary
What this does not show. This one-generation dictionary does not select the compact gauge boundary or construct the explicit three-generation embedding.

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.

Sources in the suite of record

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.

Paper 1, §6, Status under the explicit B-map — PDF p.29 (bytes of record)
review state: REVIEWED · role SUPPORTS · warrant: gemini read SUITE_TEXT_EXTRACT → SUPPORTS · grok read THE_RECORD → SUPPORTS

Status under B: all one-generation quark and lepton placements and all sixteen hypercharges are PROVED under the explicit B-map (A689).

Paper 1, §6, Physical Yukawa placement — PDF p.29 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

the physical one-generation Yukawas are the cross-block trilinear {J12 (H), J13 (ΨL ), J23 (ΨcR )} [A686–A689], with J13 in the middle slot.

Paper 1, §6, Compact-embedding condition — PDF p.29 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

AB is discharged relative to the compact SM gauge embedding

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryA688/A689; Paper 1 §6, pp.27–28—shippedThe suite states the B-map dictionary and its relative compact-frame condition; the original map and component arrays are not supplied.

Premises this record rests on (qualified uses)

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.

usestatepremiserolewhy the house declared it · reads
USE-0006REVIEWED by lanes (R49c)PRM-012 (PRM-012/r1) — Correspondence map algebra to SMreadout_choiceHypotheses: 'Use the explicit B-map and the compact Standard-Model embedding' and 'The Dirac-neutrino extension is assumed'. A chosen embedding is the correspondence-map premise.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)
USE-0007REVIEWED by lanes (R49c)PRM-011 (PRM-011/r1) — Colour real form as declared inputhypothetical_assumptionThe same compact Standard-Model embedding fixes the compact colour real form, a declared input since Rev29.
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)
USE-0033REVIEWED by lanes (R49c)PRM-032 (PRM-032/r1) — Dirac-neutrino extension (the Dirac-ν benchmark assumption)hypothetical_assumptionHouse declaration under R84-h (R-27): S312 holds list: Dirac-ν seen in LIB2-108. — House reading: the record fixes "all sixteen hypercharges"; the sixteenth entry is the neutral singlet ν^c, present in the field content under the extension (P1:205-207). The use is of that field-content conjunct (fifteen SM Weyl states plus ν^c), not of the stronger Dirac-only mass benchmark: a gauge-invariant Majorana bilinear is algebraically available within the sixteen and is excluded by choice (Rev32.8 text part1:4143-4146). [R129 D-5, S340: replaces "The other fifteen placements do not need it, so the dependence is CONDITIONAL, not LOAD_BEARING" per A1704 F3; PRM-032/r1 as registered bundles field content and mass nature — the finer split is census R129-k]
  • gemini · LOAD_BEARING · SUITE_TEXT_EXTRACT (D1350)
  • grok · LOAD_BEARING · THE_RECORD (D1349)

Typed links

typetargetlicensed by
rests_on_premisePRM-012 Correspondence map algebra to SM—
rests_on_premisePRM-011 Colour real form as declared input—
rests_on_premisePRM-032 Dirac-neutrino extension (the Dirac-ν benchmark assumption)p1_peirce_gauge_group.tex:207 — "with a Dirac-neutrino extension $\nu_R$ assumed in the neutrino paper."

Why this record is PUBLISHED (R67, condition T-B)

states a predicateyes
uses on the record · unblocked3 · 3
uses any lane has read3 of 3
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesyes (1)
a SUPPORTS use on the predicate is DISPUTEDno
machine certificate currentyes

Machine certificate (R68)

stateMACHINE_CHECKS_PASSED
policysgtoe-clearance-policy-1.0-RATIFIED · sha16 ef7d6e7690514311
bound to masteraad7a3ec6ce3b510 (the master the checks ran on; issued 2026-09-26T05:06Z)
checks
checkresultreason
schema_validPASSexercised
basis_currentPASSexercised
quote_locatedPASSexercised
labels_literalPASSexercised
edges_resolvedPASSexercised
bindings_validPASSexercised

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.

History

March library (v1) antecedentsno legacy antecedent identified
Track-2 claim idsB-FUN-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.
serialsA688 A689 A707 A708
candidate ids (frozen list S304)C2-040

Drafting-lane note

C2-040 is split into the field dictionary and its anomaly audit. PROVED is printed under B on p.27; the attachment axis is not explicitly labelled there. No isometric embedding into a separate spin-one-half 56 is inferred.

Receipt

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 9e9d82c91b1607cf73712c8934c6ac90fd1df8315394b27abd5a4d160bb3f0e3

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-108 | 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