Claims & Evidence Registrar › H09

LIB2-271 · Superseded pi-weighted prefactor formula for the bottom mass

class RETIREDmath status (as printed) —attachment (as printed) —scorecard tier word (as printed) none printedhouse tier not yet assignedreview state PUBLISHEDentry version 8

Statement

The archived numerical bottom-mass prompt proposed the prefactor sqrt(3)·r_23/42 multiplied by (π/2)^{2/3}.

Scope

domainThe specific prefactor-and-power formula printed in L138, not the unspecified P51 proof prompt.
What this does not show. The replacement is not a re-evaluation of the archived prefactor and does not supply the missing scheme-matched physical bridge.

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 2, §3.6, Current bottom boundary value and offset — PDF p.38 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT

The mb row must be quoted with its offset: mb = (7/3)mτ = 4146 MeV against PDG 2026 mb (mb ) = 4186 ± 6 MeV is −0.95% and dcmp = −6.64 (cross-scheme, no status; full precision, Rev32.9).

Paper 2, §3.6, Boundary-value interpretation — PDF p.39 (bytes of record)
review state: REVIEWED · role CONTEXT · warrant: gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT · grok read THE_RECORD → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · gemini read SUITE_TEXT_EXTRACT → CONTEXT · grok read THE_RECORD → CONTEXT

The mb , mc entries are therefore reported as boundary-value predictions, not as a derived low-energy theorem;

Evidence (availability is not outcome)

kindreferenceline / keyavailabilitynote
registryLibrary v1 L138; Paper 2 §3.6, Current bottom boundary value and offset, p.37—shippedThe archive supplies titles and workflow metadata, not original production bodies. The current-suite replacement is quoted; no historical derivation, numerical result or retirement chronology is independently verified.

What was said, and what retired it

historical statementL138: Numerical prefactor = sqrt(3)r_23/42 ≈3071.5 MeV exact; m_b = prefactor(π/2)^{2/3} ≈4150 MeV; gap -0.78%
where it stoodLIBRARY_V1_GROK_ARCHIVE_S304.md, L138
retiring decisionnot located in suite; current-target replacement in Paper 2 §3.6, pp.36–37
what the suite prints now
The mb row must be quoted with its offset: mb = (7/3)mτ = 4146 MeV against PDG 2026 mb (mb ) = 4186 ± 6 MeV is −0.96% and dcmp = −6.67 (cross-scheme, no status).
PDF p.37 (bytes of record)
successor recordsLIB2-130 The bottom bridge retains its tau anchor and cross-scheme offset
why retiredRELATION_NOT_RECORDED — the retiring decision names only what replaced the claim ("not located in suite; current-target replacement in …"); the reason the old claim went was never recorded, and the house does not infer one from a pointer (R42 census S322, ruled R69).
archive row locatedLOCATED — 3 of 3 parts found in LIBRARY_V1_GROK_ARCHIVE_S304.md (sha256 28f35aac4e91e1ca…) (locator 8db2c73d69dff9f1, S339)
the archive rows, verbatim
LIBRARY_V1_GROK_ARCHIVE_S304.md, line 170
| L138 | library_prompt | 2.D | Light Quark & Lepton Masses via D_IV | Paper 2 — Flavor Sector from Peirce Perturbations | awaiting_production | prompt_ready | yes | L138: Numerical prefactor = sqrt(3)r_23/42 ≈3071.5 MeV exact; m_b = prefactor(π/2)^{2/3} ≈4150 MeV; gap -0.78% |
does the archive attest it?REVIEWED · ATTESTS — re-opened by ruling R125 after a review found a defect in this record; reads before D1343 are kept but no longer count
  • gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1341, A1694) — HIGH — The archive specifies the numerical prefactor formulation and multiplies it by (π/2)^{2/3}. (not counted)
  • grok · ATTESTS · THE_RECORD (D1340, A1693) — HIGH — L138 writes a cylinder prefactor times `(π/2)^{2/3}`. (not counted)
  • grok · ATTESTS · THE_RECORD (D1343, A1696) — HIGH — L138 is exactly `prefactor = sqrt(3)r_23/42` times `(π/2)^{2/3}`.
  • gemini · ATTESTS · ARCHIVE_TEXT_SUPPLIED (D1344, A1697) — HIGH — The archived prompt explicitly formulates the mass calculation using the exact prefactor $\sqrt{3}r_{23}/42$ multiplied by $(\pi/2)^{2/3}$.

A successor is linked, never "derived from" the retired statement (charter §10.10).

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

states a predicateyes
uses on the record · unblocked2 · 2
uses any lane has read2 of 2
REVIEWED SUPPORTS use on the predicate, read by two non-drafting lanesno (0)
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_literalN/Aclass RETIRED not governed by the source_labels rule
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) antecedentsL138
candidate ids (frozen list S304)C2-021

Drafting-lane note

L138's prefactor, mass and percentage are archived title text only. None is recalculated or treated as a certified historical output. P51 names a cylinder prefactor without this formula; its exact equivalence is not established by the shared topic.

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 702044def88aed909933a653fd9585284f45953c6e4cd74de08d0baf613cff24

Review this entry

Reviewer verdict line (one per entry, as text): LIB2-271 | 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