PUBLIC BETA (v0.9.4)

EPISTEMIC MATHEMATICS AUDIT PLATFORM

An epistemic triage for Mathematics and Science papers

The Penta-Ledger performs human-led epistemic triage on mathematics and science papers. We write independent, publicly-shared reviews which classify the plausibility of a paper into one of 5 epistemic states and we provide a transparent ledger of the logic used. We support OpenScience.

We accept submissions from established and new research professionals and independent researchers from outside academia. We also accept submissions from academics using pseudonyms and anonymous submissions (see our FAQ to understand why this can be necessary for Open Science). We watermark all submissions with: a verifiable timestamp (via OpenTimestamps) + SHA256 document hash to help submitters establish priority and a unique public/private key pair that all authors can use to prove that they were the genuine submitter at any point in the future, if desired.

Submit Your Paper for Audit 🌐 Submit a Public Paper for Review →

Audit Methodology

Human-Led > Multidisciplinary > AI-accelerated

Read Our Audit Methodology→

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Human-Led Sovereign Judgement

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The ultimate quality and epistemic classification of every review depends strictly on the intellectual discernment and judgement of the Lead Auditor.

Lead Auditors carry sovereign responsibility for deductive integrity, rooting out circular logic, and assigning the final epistemic state (#1 to #5) without automated abdication.

✓ Rigorous human sign-off on every gate

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Multidisciplinary Triangulation & The Jigsaw Principle

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Even the most established disciplines have internal blind spots and undeclared assumptions that may bias their results. We adopt a Gödelian approach by acknowledging that no coherent system can fully demonstrate its own foundational consistency or prove all its core truths from within - and 'triangulating' everything within a paper against as many independent disciplines as possible to detect implicit axiomatic assumptions, domain bias and uncover empirical contradictions or counter-examples.

For problems that have remained unsolved for years, we assume that all the jigsaw pieces usually already exist, but that no single discipline holds all the pieces. To help us find the jigsaw pieces, we actively translate techniques, formalisms and heuristics from all areas of science including computer science, physics, astronomy, engineering, chemistry, biology, medicine, economics, financial markets, operational research, management science, neuroscience, behavioural science, experimental psychology and many more.

✓ Gödelian triangulation across all scientific domains

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Frontier AI Acceleration & Dual Realism

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Our Lead Auditors harness cutting-edge AI as an aggressive force multiplier for automated searches, adversarial hypothesis testing, parameter sweeps, edge-case probing, and Lean4 proof scaffolding.

We have built a world-leading understanding of how AI tackles complex science: we are neither naive to what AI can and cannot do, nor are we naive to what humans can and cannot do.

✓ Adversarial AI sweeps + formal proof tooling

The Public Ledger & Review Pipeline4 Entries

Every accepted manuscript on the ledger receives an independent 5-state epistemic classification and a downloadable, traceable logic ledger.

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Pending AuditIN TRIAGE QUEUE🌐Requested by community member (NOT requested by paper author)

Submitted: 2 Sept 2026

A Polynomial-Time Quantum Algorithm for the Dihedral Coset Problem

Author: Daniel Simons

Lead Auditor: Pending Allocation

🔗 Canonical Public URL:https://eprint.iacr.org/2026/1591.pdf

Nominated Public Paper: Audit whether the paper's claims are valid - but also whether ANY paper could solve the problem in polynomial time also relevant: a disproof https://eprint.iacr.org/2026/1693.pdf and a partial-proof https://arxiv.org/abs/2608.16598

#public-paper#pending-audit

Public Domain Nomination

View Public Preprint→

Pending AuditIN TRIAGE QUEUE✍️Requested by paper authorTRIAGE: 37/100

Submitted: 1 Sept 2026

Golden Ratio Algebra

Author: Andy Farmer with input as stated on paper

Lead Auditor: Pending Allocation

An algebra system designed around the Golden Ratio and Algebra

#human-curated#triage-priority

Hash:213e9c0664...824b47c7

Proof-of-Possession→

ProvableIN TRIAGE QUEUE✍️Requested by paper authorTRIAGE: 98/100

Submitted: 21 Jan 1970

Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem

Author: Suhail Ahmad Rather, Adam Burchardt, Wojciech Bruzda, Grzegorz Rajchel-Mieldzioć, Arul Lakshminarayan, Karol Życzkowski

Lead Auditor: Pending Allocation

Euler's problem of 36 officers asks for an orthogonal Latin square of order 6. We present a quantum solution showing existence of AME(4,6) and a 2-unitary matrix in U(36). Math-CVD audit registered findings MATH-CAND-GRA-2026-0001 (L1 vs L2 Norms) and MATH-CAND-GRA-2026-0002 (Phase Aliasing).

#expedited-ai#triage-complete

Hash:00612db1b5...e1a4afbe

Proof-of-Possession→

Pending AuditIN TRIAGE QUEUE🌐Requested by community member (NOT requested by paper author)

Submitted: 21 Jan 1970

Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem

Author: Suhail Ahmad Rather et al.

Lead Auditor: Pending Allocation

🔗 Canonical Public URL:https://arxiv.org/abs/2104.05122

Nominated Public Paper: ["MATH-CAND-GRA-2026-0001: L1 vs L2 Norm Conflation", "MATH-CAND-GRA-2026-0002: Phase Symmetry Aliasing", "Golden Ratio Algebra Q(phi) Triad"]

#public-paper#pending-audit

Public Domain Nomination

View Public Preprint→

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