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pdf_signature_extraction/paper/v4
gbanyan 62a22ceb83 Revise §III v4.0 draft per codex round-21 review (Major Revision -> v2)
Codex gpt-5.5 xhigh review of v1 draft returned Major Revision with
5 Major findings + 7 Minor + editorial nits. v2 addresses all of
them.

Key v2 changes:

  1. Primary classifier declared: inherited v3.x five-way per-signature
     box rule. K=3 mixture is demoted to accountant-level descriptive
     characterisation (Script 35 / Script 38 footing), explicitly NOT
     used to assign signature- or document-level labels.

  2. §III-J reframed as "Mixture Model and Accountant-Level
     Characterisation" (was "Mixture Model and Operational Threshold
     Derivation"). K=3 LOOO P2_PARTIAL verdict surfaced in prose
     including the "not predictively useful as an operational
     classifier" interpretation from the Script 37 verdict legend.

  3. §III-K renamed "Convergent Internal-Consistency Checks" (was
     "Convergent Validation") with explicit caveat that the three
     scores share underlying features and are not statistically
     independent measurements.

  4. §III-H reverse-anchor paragraph rewritten: the directional
     error in v1 (the non-Big-4 reference described as a "more-
     replicated-population baseline") is corrected -- the reference
     is in fact in the LESS-replicated regime relative to Big-4,
     and the score measures deviation in the hand-leaning direction.

  5. Pixel-identity metric renamed from "FAR" to "positive-anchor
     miss rate" with explicit conservative-subset caveat
     ("near-tautological for the box rule because byte-identical
     => cosine ~1 / dHash ~0").

  6. §III-L title changed to "Signature- and Document-Level
     Classification" (was "Per-Document Classification") and
     reorganised so the per-signature five-way rule + document-level
     worst-case aggregation are both clearly under this section.

  7. Empirical slips corrected:
     - K=2 LOOO comparison: now correctly says "5.6x the stability
       tolerance 0.005" rather than "5.6x the bootstrap CI half-width";
       full-Big-4 bootstrap half-width 0.0015 cited separately.
     - all-non-Firm-A dip: now correctly (0.998, 0.907), not "p > 0.99".
     - BD/McCrary: now narrowed to Big-4 scope (Script 34 null), with
       Script 32 dHash transitions for non-Big-4 subsets noted but
       not used as operational thresholds.
     - Firm A byte-identical "50 partners of 180 registered, 35
       cross-year" -- now explicitly inherited from v3.x §IV-F.1 /
       Script 28 / Appendix B; provenance row in the new table flags
       this as inherited, not v4-regenerated.
     - "mid/small-firm tail actively pulling" -> "the full-sample and
       Big-4-only calibrations differ" (causal language softened).
     - $\Delta\text{BIC}$ sign convention: explicit "lower BIC is
       preferred; BIC(K=3) - BIC(K=2) = -3.48".

  8. Editorial nits applied:
     - "failure rate" -> "box-rule hand-leaning rate"
     - "boundary moves modestly" -> "membership remains
       composition-sensitive"
     - "calibration uncertainty band +/- 5-13 pp" -> "observed absolute
       differences of 1.8-12.8 pp, with Firm C exceeding the 5 pp
       viability bar"
     - "strongest single methodology-validation signal" -> "strongest
       internal-consistency signal"
     - "the same component structure recovers" -> "a broadly similar
       three-component ordering recovers"
     - Cross-reference index marked as author checklist (remove
       before submission).

  9. New provenance table at end of §III mapping every numerical claim
     to (script, source, direct/derived/inherited).

  10. Open questions reduced from 5 to 3 (codex resolved questions 2,
      3, 4 with concrete answers); remaining 3 are forward-looking
      (5-way moderate band, pseudonym consistency, table numbering).

Also commits: paper/codex_review_gpt55_v4_round1.md (codex review
artifact, 143 lines).

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
2026-05-12 15:49:59 +08:00
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