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paper v0.10: post-review revision — the freeze is over, the queue ships
The review process concluded 2026-08 (operator released the hold). Folds
in exactly the staged erratum-queue + v0.10 items, nothing else:
- corpus count sentence made historical (sixteen at the studied leaves;
forty-four per fork since — the log records both generations)
- the 3,867/73,573 divergence finding gains its closure everywhere it
appears: root cause = deployed verifier omitted RFC 9162 S2.1.4.2
Step 7's terminal sn=0 condition (fixed in ddbb5a4); zero divergences
post-fix, three-way regression
- new limitations paragraph 'Replay-harness integrity' (a wrong
observation needs no malice)
- adversary model: defective-harness clause
- claim matrix: 'recorded cone was produced by an audit that performed
its checks — not established' row
- title page carries 'Revised: August 2026'; submitted v0.9 (7f140356)
preserved in git history; paper/README signpost updated
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@ -1,8 +1,13 @@
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# Which file is current?
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**`ltl.pdf` / `ltl.tex` — the current paper.** This is the version
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submitted to the journal on 2026-07-17 and now frozen during review; the
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live copy served at <https://ltl.zkdefi.org/paper> is byte-identical.
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**`ltl.pdf` / `ltl.tex` — the current paper (v0.10, revised August 2026).**
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The review process concluded in August 2026; this revision folds in the
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corrections queued during the freeze (certificate-count update, the
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closed consistency-verifier divergence with its `sn = 0` root cause, a
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replay-harness-integrity limitation, and an added claim-matrix row). The
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version submitted for review (July 17, 2026, sha256 `7f140356…`) is
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preserved unchanged in this repository's git history. The live copy at
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<https://ltl.zkdefi.org/paper> serves the current revision.
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The other files are kept as honest history, not as reading material:
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BIN
paper/ltl.pdf
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paper/ltl.pdf
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@ -47,7 +47,7 @@ showstringspaces=false,breaklines=true,xleftmargin=.5em,xrightmargin=.5em}
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\large A Transparency Model and the Lean Transparency Log}
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\author{Olaf Horvath\\
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\small Olaf.Horvath@zkdefi.org \quad ORCID 0009-0004-8008-5805}
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\date{July 2026}
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\date{July 2026 \\ {\normalsize Revised: August 2026}}
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\begin{document}
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\maketitle
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@ -174,7 +174,11 @@ verifier and the recursive model proved in Lean are not extensionally equal:
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there are malformed size/root combinations accepted only by the deployed
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verifier. We characterize 3,867 divergences in 73,573 pinned boundary tests
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--- every one deployed-accepts-only --- and scope the public attestation
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accordingly.
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accordingly. (Post-submission closure, July 2026: the divergence was traced to
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the deployed verifier omitting RFC~9162 \S2.1.4.2 Step~7's terminal
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$sn=0$ condition; restoring that one conjunct removes every divergence in the
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pinned family, confirmed by a three-way regression against an independent
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faithful RFC transliteration.)
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\end{enumerate}
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\paragraph{Non-claims.}
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@ -375,7 +379,8 @@ EUF-CMA security of the head-signature scheme, and correct initial acquisition
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of the operator public key.
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The model deliberately does not cryptographically exclude fabricated kernel
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observations. That is a statement about a physical execution on the operator's
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observations; the same holds when the operator's replay harness is defective
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rather than dishonest. That is a statement about a physical execution on the operator's
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machine. The mechanism instead makes the claimed execution target precise
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enough for a third party to replay.
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@ -621,6 +626,10 @@ reconstruction with the supplied old root and consults the size claims only as
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bit-navigation state, so several distinct old-size claims navigate one proof
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identically. In 73,573 lied-size boundary cases, 3,867 divergences were
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observed; all were one-sided (deployed accepts, recursive model rejects).
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The root cause was later identified and closed: the deployed loop omitted
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RFC~9162 \S2.1.4.2 Step~7's terminal $sn=0$ condition; with the conjunct
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restored the pinned family shows zero divergences (three-way regression:
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deployed verifier, recursive model, independent RFC transliteration).
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The intended consumer flow binds $(n_0,r_0)$ in local persistent state and
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binds $(n_1,r_1)$ together in a signed head. The present corpus does not prove
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@ -1045,7 +1054,9 @@ for a large class of safe Rust programs~\cite{aeneas}. A recent independent
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experience report likewise applies a Rust-to-Lean pipeline to cryptographic
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code~\cite{klaus2026}.
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Each fork's corpus contains sixteen reviewed certificates covering:
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Each fork's corpus contained sixteen reviewed certificates at the
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historical leaves studied here (the corpora have since grown to forty-four
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per fork --- the log records both generations as separate leaves), covering:
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\begin{itemize}[leftmargin=1.6em,itemsep=2pt]
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\item five-limb field arithmetic over $\Fp$ with value and bound preservation;
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\item complete twisted-Edwards group operations~\cite{edwards,twisted};
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@ -1224,7 +1235,9 @@ stable regression boundary.
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\begin{remark}[Model/deployment seam]
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For malformed size claims, the deployed iterative verifier and the recursive
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model are not extensionally equal. In all 3,867 divergences observed across
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model are not extensionally equal (figures are the pre-closure measurement;
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the $sn=0$ restoration reduces the divergence count in this family to zero).
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In all 3,867 divergences observed across
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the pinned families the deployed verifier accepted and the model rejected; the
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reverse direction was not observed, and no global inclusion relation between
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the two acceptance sets is claimed.
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@ -1307,6 +1320,14 @@ A malicious operator can fabricate a replay report. Signatures and Merkle
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proofs make the lie attributable and persistent; they do not make it true.
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Targeted independent replay is the corrective mechanism.
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\paragraph{Replay-harness integrity.}
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A wrong observation needs no malice: a defective replay harness --- a bug in
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the audit driver, a fail-open guard, a truncated transcript --- produces the
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same evidentiary damage as a dishonest operator, with the same accountability
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answer (the record is attributable and persistent; independent replay corrects
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it). The subject corpus's adversarial gate self-tests exist for exactly this
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reason and reduce, but cannot eliminate, the exposure.
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\paragraph{Theorem identity.}
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Names and repository commits are not canonical semantic identifiers, and
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commit identifiers are SHA-1-based --- a weaker binding than the log's own
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@ -1494,6 +1515,7 @@ Equal-size unequal roots in one log context conflict & two valid signatures & co
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Observed cone matches local boundary policy & exact set equality & semantic identity of named declarations \\
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Operator claims the kernel produced the observation & attestation signature and leaf inclusion & correct provider key; EUF-CMA \\
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Kernel actually produced the recorded observation & not cryptographically established; independently checkable by replay & operator and replay-pipeline honesty, or faithful independent replay \\
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Recorded cone was produced by an audit that performed its checks & not established --- the audit driver is itself part of the replay pipeline & audit-gate integrity; adversarial gate self-tests reduce this exposure, they do not eliminate it \\
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Source corresponds to deployed binary & not established & reproducible build and compiler assurance \\
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Claimed signer implementation produced STH & not established & execution provenance \\
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\bottomrule
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