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Seven new results, referee fixes and validator hardening - #72

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jadenfix merged 13 commits into
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frontier-results
Oct 18, 2026
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jadenfix merged 13 commits into
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frontier-results

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Summary

Integrates seven refereed research results as native lanes, applies every referee fix, hardens the certificate validators that an audit showed could be forged, applies the second audit's attribution fixes to the mixture-conditioning lanes (#61, #62) and the paper (#69), and stops push and pull_request CI runs from cancelling each other.

Claims: 397 in 53 manifests -> 465 in 60 manifests (304 theorems, 93 model results, 60 finite checks, 8 open problems). uv run python -m simtheory verify (full, not --quick) passes locally.

New lanes and claim IDs

result doc claims
evidence-scaling dichotomy docs/evidence-scaling-dichotomy.md ST-T272 to ST-T280, ST-M84, ST-F53 to ST-F55, ST-O02
CHSH escape-route frontiers, anytime-valid Delft check docs/bell-escape-route-frontiers.md ST-T281 to ST-T285, ST-M85, ST-F56, ST-O03
finite-precision renderers docs/finite-precision-renderer-identifiability.md ST-T286 to ST-T289, ST-F57, ST-O04
Bell-disk renderer memory (zonoid) docs/bell-disk-renderer-memory.md ST-T290 to ST-T296, ST-F58, ST-O05, ST-O06
two-view orthogonal fiber docs/two-view-orthogonal-fiber.md ST-T297 to ST-T305, ST-M86 to ST-M89, ST-F59, ST-O07
Le Cam deficiency of a noisy Bell simulator docs/le-cam-deficiency-bell-simulator.md ST-T306 to ST-T309, ST-F60, ST-O08
random-bit price of shared randomness docs/random-bit-price-shared-randomness.md ST-T310 to ST-T313, ST-M90 to ST-M93, ST-F61

Each lane has a standard-library module under src/simtheory/, tests under tests/, a committed receipt under receipts/ (checked byte for byte by a test), and a manifest with assumptions, nonclaims, repo-relative evidence and test citations. No result was excluded; nothing was marked unsound by its referees.

Referee fixes (highlights)

  • Typing and prior art. Standard or cited results now say so in title or nonclaims: data processing and the KL chain rule, the Clarke-Barron constant, Le Cam two-point with Pinsker and Bretagnolle-Huber, KT regret, ST-T08 betting, Pironio and Puetz et al. frontiers, Garg-Mermin (now a model result), van Dam-Gill-Gruenwald, Kelly and Wald, Madow systematic sampling, Hamilton apportionment, Lutwak, Fedorov tiles, asymptotic covering, Henry-Kitamura-Salanie, Hall-Zhou, Huang-Sidiropoulos-Swami, Kruskal (three-view witness retyped as a model result), Kadane/Dawid/Poirier, Le Cam/Torgersen, Knuth-Yao, k-uniform strategies.
  • Corrected statements. Wrong cross-reference IDs (ST-T185/F34/M50/F32/F33) re-anchored to ST-T271, ST-F52, ST-M83, ST-F50; the CHSH correlator definition; "preregistered" removed (the Delft negative rests on the realised ceiling 7.78 < 20, valid for every constant-bet mixture); the Fary citation replaced by L. Fejes Toth's centrally symmetric bound; the X10 mislabelled counterexample relabelled and two genuine counterexamples added; "decays at a Chernoff rate" -> "at least as fast as"; the KT power-monotonicity lemma; "D even", "4 | D", exact-cosine and declared-D qualifiers; setting-preserving qualifiers and a verified setting-relabeling map (23/160 < 3/14); the in-family zonoid constant identified as classical; the two-view "anchors are necessary" overclaim replaced by a proved necessary condition (pairwise-incomparable supports) and an exact no-anchor point-identified example; L >= 2 in the coin-alphabet lemma.
  • Negative results recorded. The Delft anytime-valid check (ST-F56), the false sketch claims (D divisible by 4; infinite caps coinciding; gap zero iff M is a function of Y), the hexagon schedule not being memory-optimal, and SUMMARY's false Bell-violation nonclaim (the trine product schedule realizes the optimal class law with |S| = 5v/2).

Validator hardening

The validator audit showed that many valid properties checked arithmetic but not the instance, so hand-built certificates validated (zero radii, forged chromatic lower bounds, dropped candidates, swapped enumerations, best-case adversarial paths, forged frontiers and oracles, truncated vertex lists, unbound duals, empty decoders, non-Huffman codes, values attached to the wrong channel, unrecomputed Boolean query values). Affected validators now rebind to their stored instance, mostly by rerunning the deterministic exact builder under the stored caps (simtheory/rebuild.py), and tests/test_validator_forgeries.py reproduces every forgery as a regression test. Real-data receipts pin the Delft trial digest, the published values and the beacon pulse-list SHA-512 in code; evidence paths may not escape the repository. Inequality-only receipts are documented as arithmetic-only.

Audit fixes for #61, #62, #69

  • Mixture conditioning: Gutman-Pena (TV facial distance) and Kleinberg-Sandler / Arora et al. credited; Pena-Rodriguez scoped to the Euclidean norm; standard results marked; "phase boundary" retitled; estimator condition for the 2 rho_obs transfer.
  • Paper: remark with an exact signed-gauge counterexample after Theorem 5 (abstract, limitations and P1-T7 updated), "Persistent latents and the sampling hierarchy", SSA plus SIA item attributed (Bostrom, Olum, Bostrom-Cirkovic), Dorr-Arntzenius cited, Theorems 1 and 3 typed standard, bibliography case and arXiv fixes, ledger crosswalk to repository claims with a test, \texttt, shorter abstract, \qedhere.

CI

tests.yml now runs on pushes to main and on pull requests, with the concurrency group keyed by event, so a push run and the pull_request run for the same commit no longer cancel each other.

🤖 Generated with Claude Code

jadenfix and others added 13 commits October 18, 2026 03:04
The Delft trial digest, the published Hensen et al. values and the SHA-512 of
the committed NIST pulse list are now code constants, so an edited data file
cannot authenticate itself. The beacon line reports hash-chain consistency,
not authenticity. Evidence paths may not escape the repository root.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Many valid properties checked internal arithmetic but not the instance, so
hand-built certificates validated: zero TV-ball and confidence radii, forged
chromatic lower bounds, suboptimal robust codes, dropped candidates, swapped
graph enumerations, best-case adversarial paths, forged frontiers and oracle
values, trimmed drift grids, truncated vertex lists with spurious rows,
unbound polyhedral duals and Farkas certificates, empty network decoders,
non-Huffman prefix codes, values attached to the wrong channel, and Boolean
query values that were never recomputed.

Affected validators now rerun the deterministic exact builder on the stored
instance under the stored caps and require field-by-field equality
(simtheory.rebuild.matches_rebuild), or recompute the missing quantity
directly. tests/test_validator_forgeries.py reproduces every forgery from the
audit as a regression test. Inequality-only receipts are documented as
arithmetic checks, and the Farkas normalization comparison is fixed.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Two-sided pathwise KT sandwich, the Clarke-Barron constant with a
non-asymptotic sandwich, the NIST beacon power frontier and Le Cam converse,
BSC coarsening (extends ST-M83), and the persistent-latent KL cap, saturation
identity and gap bound. Standard results (data processing, chain rule,
Clarke-Barron, Le Cam two-point, KT) are labelled as such; cross-references
re-anchored to ST-T271, ST-F52 and ST-M83; genuine counterexamples to the
sketch's zero-gap 'iff' added; beacon n and k re-derived from the pinned
pulse file; the second-order term stays an open problem (ST-O02).

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
…-T281 to ST-F56)

Exact certificates for signalling, measurement-dependence and detection
frontiers (Pironio, Puetz et al. and Garg-Mermin credited; the latter typed a
model result), the uniform-setting statistical strength, and the Kelly/Wald
bounds, all marked standard where they are. The Delft finite check is a
negative result: no constant-bet mixture on the win indicator reaches 1/alpha
at any prefix (ceiling 7.78). 'Preregistered' is removed, the CHSH correlator
definition is fixed, and data load through the pinned real-data loader.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Dithering boundary, commensurable-schedule non-identifiability, the
Diophantine Theta(1/D^2) separation for 0 and pi/4, and known-visibility
rates. Qualifiers restored (4 | D, D even, declared D, exact cosines,
fixed-count achievability, restricted-cosine converse), float64 treated as an
illustration only, prior art credited, and the false 'every D divisible by 4'
sketch recorded as a negative result.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Arbitrary-center area converse, the sharp pi/32 CHSH constant, the pi^3
ceiling (Lutwak, standard), exact tiling-schedule asymptotics and the proved
optimality of the regular three-direction schedule. The covering bound is
credited to L. Fejes Toth (centrally symmetric), not Fary; the in-family
constant is identified as classical and the open problem narrowed to
arbitrary emissions; the trine product schedule shows the optimum is
compatible with a CHSH violation.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Stochastic reparametrization of the two-view fiber, the sharp k = 2
identified interval, the weight floor, and product-gauge rigidity, with
PR #64, Henry-Kitamura-Salanie, Hall-Zhou and Huang-Sidiropoulos-Swami
credited. Adds a proved necessary condition (pairwise-incomparable row
supports) and an exact no-anchor point-identified example, replacing the
'anchors are necessary' overclaim; k = 3 grid values are label-free and each
grid point is checked to reproduce T.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Exact deficiency of a visibility-contracted Bell simulator, shown to hold
against arbitrary joint-record kernels, the worst-setting value for unequal
magnitudes, risk transfer (standard), and the setting-wise deterministic gap.
Setting-preserving and central-kernel qualifiers are explicit; a verified
setting-relabeling map (23/160 < 3/14) bounds the scope; Le Cam and Torgersen
credited; the optional LP line is gone, so the receipt is exact.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Exact b-bit value curves, the dyadic dichotomy and the two-sided
Theta(2^-b) gap without nondegeneracy, the Knuth-Yao price of the optimal set
(Knuth-Yao reproved and credited), and coin alphabets with L >= 2. Prior work
on k-uniform strategies credited, the reduction-invariance lemma added, and
the committed instances cross-checked against the repository solvers,
including an ST-M27 radius sweep.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
alpha(K) is Gutman-Pena's TV-norm facial distance (Prop. 1) and the
zero-sum restriction of the Kleinberg-Sandler l1 condition number; Pena and
Rodriguez are scoped to the Euclidean norm. Standard results are marked in
nonclaims, ST-T251 is an exactly computed lower certificate, the 'phase
boundary' heading is retitled, and the math audit records the second audit.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Signed-gauge remark after Theorem 5 with an exact counterexample (abstract,
limitations and P1-T7 updated; Kruskal cited), section retitled 'Persistent
latents and the sampling hierarchy', SSA plus SIA item attributed, Dorr and
Arntzenius cited, Theorems 1 and 3 typed standard, bibliography case and
arXiv fixes, ledger crosswalk to repository claims with a test, texttt,
shorter abstract, qedhere.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Push runs only on main and the concurrency group is keyed by event.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
465 claims in 60 manifests; new lanes in the map; the Delft anytime-valid
negative result; pinned receipts and validator rebinding in the verify
description.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
@jadenfix
jadenfix merged commit 0c77232 into main Oct 18, 2026
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