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- Main:170: the readback lemma's probe is described as what it is: exact laws and gaps, information quantities and the inequality in floating point, on named families (CON-25 / R-03 / OD-7). - Main:606, :616, :620 and main_repro/README: "certified"/"exact" labels over floating-point clauses corrected; the conclusions are re-verified exactly in the track's sc38_exact.py. - "Minimal" removed as a size label: Main §2.4 heading, ch01:135/:273 with FULL mirrors, Explainer:725, main_repro README (CON-24 / R-04 / OD-10); a three-hidden-state model reproduces every number, two hidden states already give T1 = J/2, T2 = I. - Main:610 and memory_probes.py: processes counted by law, not by the t = 2 conditional signature; at (2,3), t = 2, uniform prior, two of sixteen attain, maximal residual 2/3 bit, prior-independent by the Remark's identity (CON-26, resolved exactly). - Ledger: purification-quotient fingerprint re-affirmed, same ID and level. - Regenerated Main, Explainer and the book (.tex/.pdf). Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
…acity - B1, Main:610: the count is of laws of (X_0..X_3) (16, M_det = M_t for 2); at horizon K >= 4 it is 18 (2 attaining). sc38_exact.py C8 checks 16/2 at horizon 3 and 18/2 at K = 4..12. - O1: vacuous C7 replaced by a must-fail control (identity with H(X_<2|X_2) fails on 648 of 720); must-fail controls D1c, D4c, D5c. - O2: D1/D3 relabelled as the per-order max_k M_k; D1i checks it equals I* at horizon 3 on all 16, 648 and 672 gap realizations. - O4: hidden_memory_probe.py print strings (279-280) state the variational identity false in general at every hidden dimension; output otherwise identical. - O6: B4 labelled as checking the target product law directly. - O7: "certified" -> "checked" in output strings over floating-point steps (c4_backflow_probes, primitive_probes:100, memory_probes header). - README: PASS count (50), C-2/C-4 descriptions, site table, SC-40 Main:620 and SC-29 hidden_memory_probe cross-unit notes. Main rebuilt. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
SC-40 (corpus/sc40-c2-c3-statements at a948033) rewrites the same output string at primitive_probes.py:100, so this unit's O7 edit there is withdrawn to avoid a double edit; the file is back at its base content. README updated accordingly. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
… current head (#946) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Y87wExth9RoUb3dtbumhTb
This was referenced Oct 28, 2026
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…d scope #975 (SC-38). sc38_exact.py from refs/audit/pr975 re-run here (python3 -I, scratch dir): output byte-identical to the PR's committed sc38_exact.out; at (n_V,|C_H|) = (2,3), t = 2, uniform prior, 16 laws of (X0..X3) with M_2 > 0, 2 attaining M_det = M_t, max residual 2/3 bit exactly (C2, C5); memory_probes.py's old signature merged two laws (C3, C4: "1 of 15"). - Main.md:610: "one of fifteen distinct processes ... 0.667 bits" -> "sixteen distinct laws of (X0..X3) ... M_det = M_t for two of them ... 2/3 bit"; agreeing laws prior-independent. - Main.md:170, :606, :616: "Certified exactly" / "exact" -> checked, with laws/gaps in exact rational arithmetic and information quantities (or the predictive floor) in floating point, as the cited probes compute them. - Main.md:178 "A Minimal Model" -> "A Six-Hidden-State Model" (Main's two-hidden-state revival example is smaller); ch01:135 / FULL:479, ch01:273 / FULL:617 (mirrors), Explainer.md:725, main_repro/README.md:8 (also "exact enumeration" -> floating point: numpy). - Main.md:620: already #974's line (D-6), which carries #975's labels. - memory_probes.py: groups by the law of (X0..X3); prints "2 of 16 laws" (re-run: ALL CHECKS PASS). c4_backflow_probes.py, hidden_memory_probe.py: printed wording ("certified"; "M_det = M_t remains OPEN") aligned with Main:170 / :610. - LEDGER.json: MAIN:T-canonical-predictive-quotient-purification-ingredient fingerprint re-affirmed (wording of the check parenthetical only). Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_013T6pfKuv5mi3MXtKjH2tZb
This was referenced Nov 1, 2026
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This is a source-correction unit for #946 (the gate) and #918 (the Introduction). It comes from the full-corpus audit of #918 at
60c976fe(R-03, PR-F part: probe evidence classes).mainat0d917665.83769553.f87ff059after one fix round (B1, O1–O7).83769553adds one doc-only commit that applies that review's two optional README nits; it changes no manuscript, ledger or script.Corrections
hidden_memory_probe.py,c4_backflow_probes.pyandmemory_probes.py, only strings change, and the AST is unchanged with strings excluded. "certified" becomes "checked" where a floating-point step is involved.primitive_probes.py. Left to SC-40 (SC-40: (C2)/(C3) statements and probe evidence in Main §1.3 #974) and byte-identical to base.Checks
The reviewer re-ran these with exact code of their own:
sc38_exact.py: ALL CHECKS PASS; output byte-identical to the retained.out.coverage_check: OK.edge_rigidity_probe: PASS.release_gate: every step passes exceptlean-axioms, which runs in CI.Overlaps, resolved at reconciliation
The per-claim record is in
verification/audits/manuscript/intro-corpus-audit-20261026/tracks/SC38-probe-evidence/README.md.No merge is authorized. Merging needs owner approval at an exact SHA, as a normal merge commit.
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