fcce58aff0af9eea88d2e3f7fe750a22ffd7c4e0
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fcce58aff0 |
Paper A v3.8: resolve Gemini 3.1 Pro round-6 independent-review findings
Gemini round-6 (paper/gemini_review_v3_7.md) gave Minor Revision but
flagged three issues that five rounds of codex review had missed.
This commit addresses all three.
BLOCKER: Accountant-level BD/McCrary null is a power artifact, not
proof of smoothness (Gemini Issue 1)
- At N=686 accountants the BD/McCrary test has limited statistical
power; interpreting a failure-to-reject as affirmative proof of
smoothness is a Type II error risk.
- Discussion V-B: "itself diagnostic of smoothness" replaced with
"failure-to-reject rather than a failure of the method ---
informative alongside the other evidence but subject to the power
caveat in Section V-G".
- Discussion V-G (Sixth limitation): added a power-aware paragraph
naming N=686 explicitly and clarifying that the substantive claim
of smoothly-mixed clustering rests on the JOINT weight of dip
test + BIC-selected GMM + BD null, not on BD alone.
- Results IV-D.1 and IV-E: reframe accountant-level null as
"consistent with --- not affirmative proof of" clustered-but-
smoothly-mixed, citing V-G for the power caveat.
- Appendix A interpretation paragraph: explicit inferential-asymmetry
sentence ("consistency is what the BD null delivers, not
affirmative proof"); "itself evidence for" removed.
- Conclusion: "consistent with clustered but smoothly mixed"
rephrased with explicit power caveat ("at N = 686 the test has
limited power and cannot affirmatively establish smoothness").
MAJOR: Table X FRR / EER was tautological reviewer-bait
(Gemini Issue 2)
- Byte-identical positive anchor has cosine approx 1 by construction,
so FRR against that subset is trivially 0 at every threshold
below 1 and any EER calculation is arithmetic tautology, not
biometric performance.
- Results IV-G.1: removed EER row; dropped FRR column from Table X;
added a table note explaining the omission and directing readers
to Section V-F for the conservative-subset discussion.
- Methodology III-K: removed the EER / FRR-against-byte-identical
reporting clause; clarified that FAR against inter-CPA negatives
is the primary reported quantity.
- Table X is now FAR + Wilson 95% CI only, which is the quantity
that actually carries empirical content on this anchor design.
MINOR: Document-level worst-case aggregation narrative (Gemini
Issue 3) + 15-signature delta (Gemini spot-check)
- Results IV-I: added two sentences explicitly noting that the
document-level percentages reflect the Section III-L worst-case
aggregation rule (a report with one stamped + one hand-signed
signature inherits the most-replication-consistent label), and
cross-referencing Section IV-H.3 / Table XVI for the mixed-report
composition that qualifies the headline percentages.
- Results IV-D: added a one-sentence footnote explaining that the
15-signature delta between the Table III CPA-matched count
(168,755) and the all-pairs analyzed count (168,740) is due to
CPAs with exactly one signature, for whom no same-CPA pairwise
best-match statistic exists.
Abstract remains 243 words, comfortably under the IEEE Access
250-word cap.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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552b6b80d4 |
Paper A v3.7: demote BD/McCrary to density-smoothness diagnostic; add Appendix A
Implements codex gpt-5.4 recommendation (paper/codex_bd_mccrary_opinion.md,
"option (c) hybrid"): demote BD/McCrary in the main text from a co-equal
threshold estimator to a density-smoothness diagnostic, and add a
bin-width sensitivity appendix as an audit trail.
Why: the bin-width sweep (Script 25) confirms that at the signature
level the BD transition drifts monotonically with bin width (Firm A
cosine: 0.987 -> 0.985 -> 0.980 -> 0.975 as bin width widens 0.003 ->
0.015; full-sample dHash transitions drift from 2 to 10 to 9 across
bin widths 1 / 2 / 3) and Z statistics inflate superlinearly with bin
width, both characteristic of a histogram-resolution artifact. At the
accountant level the BD null is robust across the sweep. The paper's
earlier "three methodologically distinct estimators" framing therefore
could not be defended to an IEEE Access reviewer once the sweep was
run.
Added
- signature_analysis/25_bd_mccrary_sensitivity.py: bin-width sweep
across 6 variants (Firm A / full-sample / accountant-level, each
cosine + dHash_indep) and 3-4 bin widths per variant. Reports
Z_below, Z_above, p-values, and number of significant transitions
per cell. Writes reports/bd_sensitivity/bd_sensitivity.{json,md}.
- paper/paper_a_appendix_v3.md: new "Appendix A. BD/McCrary Bin-Width
Sensitivity" with Table A.I (all 20 sensitivity cells) and
interpretation linking the empirical pattern to the main-text
framing decision.
- export_v3.py: appendix inserted into SECTIONS between conclusion
and references.
- paper/codex_bd_mccrary_opinion.md: codex gpt-5.4 recommendation
captured verbatim for audit trail.
Main-text reframing
- Abstract: "three methodologically distinct estimators" ->
"two estimators plus a Burgstahler-Dichev/McCrary density-
smoothness diagnostic". Trimmed to 243 words.
- Introduction: related-work summary, pipeline step 5, accountant-
level convergence sentence, contribution 4, and section-outline
line all updated. Contribution 4 renamed to "Convergent threshold
framework with a smoothness diagnostic".
- Methodology III-I: section renamed to "Convergent Threshold
Determination with a Density-Smoothness Diagnostic". "Method 2:
BD/McCrary Discontinuity" converted to "Density-Smoothness
Diagnostic" in a new subsection; Method 3 (Beta mixture) renumbered
to Method 2. Subsections 4 and 5 updated to refer to "two threshold
estimators" with BD as diagnostic.
- Methodology III-A pipeline overview: "three methodologically
distinct statistical methods" -> "two methodologically distinct
threshold estimators complemented by a density-smoothness
diagnostic".
- Methodology III-L: "three-method analysis" -> "accountant-level
threshold analysis (KDE antimode, Beta-2 crossing, logit-Gaussian
robustness crossing)".
- Results IV-D.1 heading: "BD/McCrary Discontinuity" ->
"BD/McCrary Density-Smoothness Diagnostic". Prose now notes the
Appendix-A bin-width instability explicitly.
- Results IV-E: Table VIII restructured to label BD rows
"(diagnostic only; bin-unstable)" and "(diagnostic; null across
Appendix A)". Summary sentence rewritten to frame BD null as
evidence for clustered-but-smoothly-mixed rather than as a
convergence failure. Table cosine P5 row corrected from 0.941 to
0.9407 to match III-K.
- Results IV-G.3 and IV-I.2: "three-method convergence/thresholds"
-> "accountant-level convergent thresholds" (clarifies the 3
converging estimates are KDE antimode, Beta-2, logit-Gaussian,
not KDE/BD/Beta).
- Discussion V-B: "three-method framework" -> "convergent threshold
framework".
- Conclusion: "three methodologically distinct methods" -> "two
threshold estimators and a density-smoothness diagnostic";
contribution 3 restated; future-work sentence updated.
- Impact Statement (archived): "three methodologically distinct
threshold-selection methods" -> "two methodologically distinct
threshold estimators plus a density-smoothness diagnostic" so the
archived text is internally consistent if reused.
Discussion V-B / V-G already framed BD as a diagnostic in v3.5
(unchanged in this commit). The reframing therefore brings Abstract /
Introduction / Methodology / Results / Conclusion into alignment with
the Discussion framing that codex had already endorsed.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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