From 1e8466f7a8e4266df244d27f0e5fdc5e45187eab Mon Sep 17 00:00:00 2001 From: gbanyan Date: Fri, 5 Jun 2026 02:01:26 +0800 Subject: [PATCH] Paper A v4.3: unify Firm A positioning to out-of-sample templated-end target MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Finishes the BCD re-anchor chassis (audit critique #1): Firm A was inconsistently framed as both a "within-Big-4 case study" and an "out-of-sample target". Harmonised to a single label, "out-of-sample templated-end target" (held out of the calibration negative anchor; scored against the normative Firms-B/C/D baseline), across: - §I contribution #3 (title + body) - §III-H.2 (opening trio BCD/Firm-A/non-Big-4; sub-header; role sentence) - §V-C body (removed the dual case-study/out-of-sample phrasing) (§V-C header already fixed in ac3372d.) Zero "case study" wording remains; no numbers changed. codex gpt-5.5 focused check: all consistency items PASS, no new findings. Also restore the BCD+non-Big-4 joint ICCR Wilson CI [0.000001, 0.000015] to the §IV-M Table XXI note (three-scope CI symmetry; the one MINOR completeness gap surfaced by a codex old-vs-new content diff, which otherwise confirmed no substantive content was dropped by the trim). Co-Authored-By: Claude Opus 4.8 (1M context) --- ...EEE_Access_Draft_v4.3_20260604.pandoc.docx | Bin 85545 -> 85664 bytes paper/paper_a_v4_combined.md | 12 ++++++------ 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/paper/Paper_A_IEEE_Access_Draft_v4.3_20260604.pandoc.docx b/paper/Paper_A_IEEE_Access_Draft_v4.3_20260604.pandoc.docx index 8f9f701f03cf206838de000e641e5c87685f6372..1b00b8d05ad36daf155fbc4ae13cd333783593dc 100644 GIT binary patch delta 66690 zcmV(?K-a&ioCTnr1q@J20|XQR0tg5IWRbB9vH=2Qk+Z-74gn5ik;Gi3S|fFxB>@0f z{gd1RC4bc*F${`izAL9{ETyVSs**}_NhS4K5E?2^!OW_z#!N}dBqQ$2x#ymj z=RD^x|LVge_Rdw7M``lON8NVkBTprRG>nqbCx0J(`|5N5_@lr2^k4nu#r-fH%qA)+ zJorMA-@o|eqj6D8@87$Z55{T|2Meg)FT;yen>Ia56L!tNT%YTfQjehXqxM%rJsB>%aZ%@D1QdwtXSS@G}zz?@U3E& zndx0jH+V*Q>mTtiKO#x$r{Vn5f91jd;2%@|8~^=9rvJtNep$?8K*+}^>2LTM_^C$_DK@`N^gIO3A_@y)}avVzW zDgIZ6Lu1=ujxfq`nr%GExBUIw%hV)2hnc_zd0{&1$I9==Q4+#0&Leg4?ur5T(|`2+ 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z?msX+HJRC3J4k+o@0K@lEqtGPMWpI)Na;2PW|ZC5_DMd`Dk5!nUQ+!M!^D`3`578ln-QMeyr#D=2ug!YD z=FiHyJGs{*ck4{MUg`KcE4ps=>Q(F3$sIQo|H;2#VgJ^{{}tvjE*Fmfck&xABo^5q z(K!8(HRE5t z23U%k-tWyQ!x%n&jW?qX$n;x4F4KR_=|8*~6+nC`9}r(>x`hv;tUSnuJq*H`Vn7?b znHd;_kS$>FoL=I?sHgx^B%jADd=n^H2((EMMNz-S^sPRO@^K(lpk!GIH0msds_B-D z3@Q1^0Y&)*#rnzlMX7ofxjCo~KN2HVsoL8CH2ew>3!_+KKi$ZeQK=qe2mgF=CS9QU z8m#Cp`C-k-P@Z3uqF?!j>ODb zvzJqxoq-`shk-#9Mf)@R=^uR=mBB%37n2Zs6KIJDCwh 0.95$ AND dHash $\leq 5$ (any-pair) | $\mathbf{0.000010}$ | $0.000140$ | $0.000004$ | -BCD joint Wilson 95% $[0.000004, 0.000023]$ ($5$ of $5 \times 10^5$ pairs); all-Big-4 joint $[0.000111, 0.000177]$. Removing Firm A from the negative anchor lowers the joint HC coincidence rate by $\sim 8\times$, confirming that the all-Big-4 rate is inflated by Firm A's within-firm template reuse (§III-J.1). On the all-Big-4 sample, conditional ICCR(dHash $\leq 5$ | cos $> 0.95$) $= 0.234$; the all-Big-4 cos $> 0.95$ row is consistent with the corpus-wide spike of §IV-I ($0.0005$). +BCD joint Wilson 95% $[0.000004, 0.000023]$ ($5$ of $5 \times 10^5$ pairs); all-Big-4 joint $[0.000111, 0.000177]$; BCD+non-Big-4 joint $[0.000001, 0.000015]$. Removing Firm A from the negative anchor lowers the joint HC coincidence rate by $\sim 8\times$, confirming that the all-Big-4 rate is inflated by Firm A's within-firm template reuse (§III-J.1). On the all-Big-4 sample, conditional ICCR(dHash $\leq 5$ | cos $> 0.95$) $= 0.234$; the all-Big-4 cos $> 0.95$ row is consistent with the corpus-wide spike of §IV-I ($0.0005$). ### M.3 Pool-normalised per-signature ICCR (Script 52) @@ -929,7 +929,7 @@ The Big-4 accountant-level distribution rejects unimodality on both marginals ( Firm A is empirically the firm whose CPAs are most concentrated in the high-cosine, low-dHash corner of the Big-4 descriptor plane. In the Big-4 K=3 hard-posterior assignment (now interpreted as a firm-compositional position assignment; §III-L), Firm A accounts for $0\%$ of C1 (low-cos / high-dHash position) and $82.5\%$ of C3 (high-cos / low-dHash position); the opposite pattern holds at Firm C, which has the highest C1 concentration at $23.5\%$. Firm A also accounts for 145 of the 262 byte-identical signatures in the Big-4 byte-identical anchor of §IV-H (with Firm B 8, Firm C 107, Firm D 2). Byte-level decomposition of the 145 Firm A pixel-identical signatures (see supplementary materials) shows they span 50 distinct Firm A partners (of 180 registered), with 35 byte-identical matches occurring across different fiscal years. -We treat Firm A as a *templated-end case study* and, in the calibration, as an **out-of-sample target** scored against the normative Firms-B/C/D baseline rather than as a calibration input (§III-I.0). Three readings (§III-J.1) make Firm A's status precise. First, scored against the clean BCD baseline, Firm A's signatures coincide essentially never ($0.0001$, below the BCD floor of $0.0059$) — so Firm A is unremarkable, indeed sub-baseline, *cross-firm*; its signal is entirely within-firm. Second, on its own same-CPA pools the deployed HC rule fires on $0.82$ of Firm A signatures, $\sim 139\times$ the clean floor, versus $\sim 40$–$59\times$ for Firms B/C/D — Firm A is the rate-extreme, but every Big-4 firm sits far above the floor. Third, within-firm collision concentration is universal: $98.8\%$ at Firm A and, on the clean BCD pool, $89$–$97\%$ at Firms B/C/D, with same-pair concentration $97$–$100\%$ across all four firms. The firm contrast is sharpest and most defensible in the high-confidence bin (the observed per-signature HC rates above); the per-document HC+MC proxy ICCR of $0.62$ at Firm A versus $0.09$–$0.16$ at Firms B/C/D is reported only as advisory review burden, since the MC band carries low inter-CPA specificity even on the normative baseline (§III-I.3). None of this is by itself diagnostic of deliberate template sharing. The byte-level evidence above (Firm A's 145 pixel-identical signatures across $\sim 50$ distinct partners) provides direct evidence of image-level reuse among Firm A signatures, consistent with a firm-level template or production workflow; the milder within-firm patterns at Firms B/C/D may reflect template-like reuse, digitisation-pipeline homogeneity, or signing-style homogeneity, which descriptor-only data cannot separate (§V-H). We present Firm A as a *demonstration that the screening surfaces a known templated end at scale* — corroborated by the byte-identical capture check (§IV-H) — not as a forensic determination about the firm. Whether firm-level signing patterns bear on audit quality is a question for a dedicated companion study (§VI), beyond what descriptor-only screening can establish. +We treat Firm A as the **out-of-sample templated-end target**: held out of the calibration negative anchor and scored against the normative Firms-B/C/D baseline (§III-I.0) rather than used as a calibration input. Three readings (§III-J.1) make Firm A's status precise. First, scored against the clean BCD baseline, Firm A's signatures coincide essentially never ($0.0001$, below the BCD floor of $0.0059$) — so Firm A is unremarkable, indeed sub-baseline, *cross-firm*; its signal is entirely within-firm. Second, on its own same-CPA pools the deployed HC rule fires on $0.82$ of Firm A signatures, $\sim 139\times$ the clean floor, versus $\sim 40$–$59\times$ for Firms B/C/D — Firm A is the rate-extreme, but every Big-4 firm sits far above the floor. Third, within-firm collision concentration is universal: $98.8\%$ at Firm A and, on the clean BCD pool, $89$–$97\%$ at Firms B/C/D, with same-pair concentration $97$–$100\%$ across all four firms. The firm contrast is sharpest and most defensible in the high-confidence bin (the observed per-signature HC rates above); the per-document HC+MC proxy ICCR of $0.62$ at Firm A versus $0.09$–$0.16$ at Firms B/C/D is reported only as advisory review burden, since the MC band carries low inter-CPA specificity even on the normative baseline (§III-I.3). None of this is by itself diagnostic of deliberate template sharing. The byte-level evidence above (Firm A's 145 pixel-identical signatures across $\sim 50$ distinct partners) provides direct evidence of image-level reuse among Firm A signatures, consistent with a firm-level template or production workflow; the milder within-firm patterns at Firms B/C/D may reflect template-like reuse, digitisation-pipeline homogeneity, or signing-style homogeneity, which descriptor-only data cannot separate (§V-H). We present Firm A as a *demonstration that the screening surfaces a known templated end at scale* — corroborated by the byte-identical capture check (§IV-H) — not as a forensic determination about the firm. Whether firm-level signing patterns bear on audit quality is a question for a dedicated companion study (§VI), beyond what descriptor-only screening can establish. ## D. K=2 / K=3 as Descriptive Firm-Compositional Partitions