Paper A v3.4: resolve codex round-3 major-revision blockers
Three blockers from codex gpt-5.4 round-3 review (codex_review_gpt54_v3_3.md):
B1 Classifier vs three-method threshold mismatch
- Methodology III-L rewritten to make explicit that the per-signature
classifier and the accountant-level three-method convergence operate
at different units (signature vs accountant) and are complementary
rather than substitutable.
- Add Results IV-G.3 + Table XII operational-threshold sensitivity:
cos>0.95 vs cos>0.945 shifts dual-rule capture by 1.19 pp on whole
Firm A; ~5% of signatures flip at the Uncertain/Moderate boundary.
B2 Held-out validation false "within Wilson CI" claim
- Script 24 recomputes both calibration-fold and held-out-fold rates
with Wilson 95% CIs and a two-proportion z-test on each rule.
- Table XI replaced with the proper fold-vs-fold comparison; prose
in Results IV-G.2 and Discussion V-C corrected: extreme rules agree
across folds (p>0.7); operational rules in the 85-95% band differ
by 1-5 pp due to within-Firm-A heterogeneity (random 30% sample
contained more high-replication C1 accountants), not generalization
failure.
B3 Interview evidence reframed as practitioner knowledge
- The Firm A "interviews" referenced throughout v3.3 are private,
informal professional conversations, not structured research
interviews. Reframed accordingly: all "interview*" references in
abstract / intro / methodology / results / discussion / conclusion
are replaced with "domain knowledge / industry-practice knowledge".
- This avoids overclaiming methodological formality and removes the
human-subjects research framing that triggered the ethics-statement
requirement.
- Section III-H four-pillar Firm A validation now stands on visual
inspection, signature-level statistics, accountant-level GMM, and
the three Section IV-H analyses, with practitioner knowledge as
background context only.
- New Section III-M ("Data Source and Firm Anonymization") covers
MOPS public-data provenance, Firm A/B/C/D pseudonymization, and
conflict-of-interest declaration.
Add signature_analysis/24_validation_recalibration.py for the recomputed
calib-vs-held-out z-tests and the classifier sensitivity analysis;
output in reports/validation_recalibration/.
Pending (not in this commit): abstract length (368 -> 250 words),
Impact Statement removal, BD/McCrary sensitivity reporting, full
reproducibility appendix, references cleanup.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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@@ -37,11 +37,12 @@ A recurring theme in prior work that treats Firm A or an analogous reference gro
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Our evidence across multiple analyses rules out that assumption for Firm A while affirming its utility as a calibration reference.
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Three convergent strands of evidence support the replication-dominated framing.
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First, the interview evidence itself: Firm A partners report that most certifying partners at the firm use non-hand-signing, without excluding the possibility that a minority continue to hand-sign.
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Second, the statistical evidence: Firm A's per-signature cosine distribution is unimodal long-tail rather than a tight single peak; 92.5% of Firm A signatures exceed cosine 0.95, with the remaining 7.5% forming the left tail.
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Third, the accountant-level evidence: of the 171 Firm A CPAs with enough signatures ($\geq 10$) to enter the accountant-level GMM, 32 (19%) fall into the middle-band C2 cluster rather than the high-replication C1 cluster---consistent with the interview-acknowledged minority of hand-signers.
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First, the visual-inspection evidence: randomly sampled Firm A reports exhibit pixel-identical signature images across different audit engagements and fiscal years for the majority of partners---a physical impossibility under independent hand-signing events.
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Second, the signature-level statistical evidence: Firm A's per-signature cosine distribution is unimodal long-tail rather than a tight single peak; 92.5% of Firm A signatures exceed cosine 0.95, with the remaining 7.5% forming the left tail.
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Third, the accountant-level evidence: of the 171 Firm A CPAs with enough signatures ($\geq 10$) to enter the accountant-level GMM, 32 (19%) fall into the middle-band C2 cluster rather than the high-replication C1 cluster---directly quantifying the within-firm minority of hand-signers.
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Nine additional Firm A CPAs are excluded from the GMM for having fewer than 10 signatures, so we cannot place them in a cluster from the cross-sectional analysis alone.
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The held-out Firm A 70/30 validation (Section IV-G.2) gives capture rates on a non-calibration Firm A subset that are within the Wilson 95% CIs of the whole-sample rates, indicating that the statistical signature of the replication-dominated framing is stable to the CPA sub-sample used for calibration.
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The held-out Firm A 70/30 validation (Section IV-G.2) gives capture rates on a non-calibration Firm A subset that sit in the same replication-dominated regime as the calibration fold across the full range of operating rules (extreme rules are statistically indistinguishable; operational rules in the 85–95% band differ between folds by 1–5 percentage points, reflecting within-Firm-A heterogeneity in replication intensity rather than a generalization failure).
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The accountant-level GMM (Section IV-E) and the threshold-independent partner-ranking analysis (Section IV-H.2) are the cross-checks that are robust to fold-level sampling variance.
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The replication-dominated framing is internally coherent with all three pieces of evidence, and it predicts and explains the residuals that a "near-universal" framing would be forced to treat as noise.
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We therefore recommend that future work building on this calibration strategy should explicitly distinguish replication-dominated from replication-pure calibration anchors.
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@@ -65,7 +66,7 @@ Our approach leverages domain knowledge---the established prevalence of non-hand
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This calibration strategy has broader applicability beyond signature analysis.
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Any forensic detection system operating on real-world corpora can benefit from identifying subpopulations with known dominant characteristics (positive or negative) to anchor threshold selection, particularly when the distributions of interest are non-normal and non-parametric or mixture-based thresholds are preferred over parametric alternatives.
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The framing we adopt---replication-dominated rather than replication-pure---is an important refinement of this strategy: it prevents overclaim, accommodates interview-acknowledged heterogeneity, and yields classification rates that are internally consistent with the data.
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The framing we adopt---replication-dominated rather than replication-pure---is an important refinement of this strategy: it prevents overclaim, accommodates the within-firm heterogeneity quantified by the accountant-level mixture, and yields classification rates that are internally consistent with the data.
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## F. Pixel-Identity and Inter-CPA Anchors as Annotation-Free Validation
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