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gbanyan 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>
2026-04-21 14:47:48 +08:00