Pseudo-Formalization for Automatic Proof Verification
Paper • 2605.20531 • Published
arxiv_id string | benchmark_version int64 | version string | url string | v1_date timestamp[us] | category string | category_name_readable string | comments string | Location of Error string | title string |
|---|---|---|---|---|---|---|---|---|---|
2501.01561 | 1 | v1 | https://arxiv.org/abs/2501.01561 | 2025-01-02T22:35:26 | math.FA | Functional Analysis | 45 pages. Various improvements of the presentation, and an error in the proof of Theorem 19 is corrected | Theorem 19 | On coarse geometry of separable dual Banach spaces |
2501.04482 | 1 | v2 | https://arxiv.org/abs/2501.04482 | 2025-01-08T13:06:44 | math.LO | Logic | In this version, the erroneous Proposition 6.10 is corrected | Proposition 6.10 | Categories of orthosets and adjointable maps |
2501.05996 | 1 | v1 | https://arxiv.org/abs/2501.05996 | 2025-01-10T14:28:41 | math.AT | Algebraic Topology | 43 pages, 4 figures. Corrected an error in the proof of Theorem B. Moved the section on interval decomposability to another preprint. Some terminology has been renamed. Other minor changes | Theorem B | Poset functor cocalculus and applications to topological data analysis |
2501.08877 | 1 | v1 | https://arxiv.org/abs/2501.08877 | 2025-01-15T15:48:33 | math.AP | Analysis of PDEs | Corrected a major error in the proof of Theorem 3.1 and revised other flawed proofs | Theorem 3.1 | Connecting SPDE to SGMs |
2501.08692 | 1 | v2 | https://arxiv.org/abs/2501.08692 | 2025-01-15T09:55:08 | math.GR | Group Theory | 19 pages. Fixes a mistake in the proof of Theorem 1.2, by refining the definition of balanced Artin groups | Theorem 1.2 | On the $Σ^1$ and $Σ^2$-invariants of Artin groups |
2501.17504 | 1 | v1 | https://arxiv.org/abs/2501.17504 | 2025-01-29T09:21:36 | math.AC | Commutative Algebra | Removed redundant and incorrect proof of Lemma 2.3, updated introduction | Lemma 2.3 | Rational invariants of even degree polynomials under the orthogonal group |
2501.13445 | 1 | v2 | https://arxiv.org/abs/2501.13445 | 2025-01-23T07:52:28 | math.OC | Optimization and Control | We find a counterexample to illustrate that Theorem 5 (iii) and (iv) are incorrect | Theorem 5 | Comments and extensions on "State-equivalent form and minimum-order compensator design for rectangular descriptor systems" |
2501.05489 | 1 | v1 | https://arxiv.org/abs/2501.05489 | 2025-01-09T06:01:52 | math.DG | Differential Geometry | I find that there is a mistake in the proof of Theorem 2.2, I give a new proof in this version | Theorem 2.2 | Singularity of mean curvature flow with bounded mean curvature and Morse index |
2501.04321 | 1 | v2 | https://arxiv.org/abs/2501.04321 | 2025-01-08T07:35:49 | math.CO | Combinatorics | I thank Nathan Bowler for pointing out a critical mistake at the end of my claimed proof of Theorem 2.1. The set ${^*}A \cap {^*}\mathbb{I}$ is not necessarily contained in its internal star extension as it was claimed in the last line of that proof. The purported proofs of both conjectures had this issue. An expositor... | Theorem 2.1 | Matroid intersection and packing/covering conjectures are true in the class of finitary matroids |
2502.02254 | 1 | v1 | https://arxiv.org/abs/2502.02254 | 2025-02-04T12:02:47 | math.NT | Number Theory | Fixed proof of Lemma 8, other minor changes | Lemma 8 | Non-Isomorphic Abelian Varieties with the Same Arithmetic |
2502.10278 | 1 | v1 | https://arxiv.org/abs/2502.10278 | 2025-02-14T16:36:38 | math.GR | Group Theory | 25 pages, comments welcome; version 2 includes the addition of a section on Dedekind domains and the correction of an error in Proposition 5.1 of version 1 | Proposition 5.1 | Profinite Rigidity over Noetherian Domains |
2502.00898 | 1 | v1 | https://arxiv.org/abs/2502.00898 | 2025-02-02T20:16:50 | math.DS | Dynamical Systems | Lemma 4.1 has been corrected after N. Tedesco pointed out a mistake in the calculations. The main results are unchanged | Lemma 4.1 | Finite codimension stability of invariant surfaces |
2502.10890 | 1 | v1 | https://arxiv.org/abs/2502.10890 | 2025-02-15T19:46:27 | cs.DS | Data Structures and Algorithms | Appeared at ICALP 2025. Fixed small mistake in Lemma 20 | Lemma 20 | Light Edge Fault Tolerant Graph Spanners |
2502.17415 | 1 | v1 | https://arxiv.org/abs/2502.17415 | 2025-02-24T18:48:44 | math.AT | Algebraic Topology | Version 2: fixed statement and proof of Lemma 3.5. 33 pages, 10 figures. Comments are welcome! | Lemma 3.5 | Rectification of dendroidal left fibrations |
2502.05831 | 1 | v1 | https://arxiv.org/abs/2502.05831 | 2025-02-09T09:39:50 | math.GR | Group Theory | An inaccuracy in the proof of Theorem 5.1 (6) has been fixed | Theorem 5.1 | Equationally separable classes of groups |
2503.00849 | 1 | v2 | https://arxiv.org/abs/2503.00849 | 2025-03-02T10:53:27 | math.PR | Probability | Correction of the speed of convergence in Theorem 4.5 | Theorem 4.5 | Empirical distribution of ancestral lineages in populations with density-dependent interactions |
2503.21136 | 1 | v1 | https://arxiv.org/abs/2503.21136 | 2025-03-27T03:55:53 | math.NT | Number Theory | 14 pages, 1 figure, Minor corrections to Theorem 1.5 and Lemma 2.1 | Theorem 1.5, Lemma 2.1 | Power-free palindromes and reversed primes |
2503.06267 | 1 | v1 | https://arxiv.org/abs/2503.06267 | 2025-03-08T16:26:04 | math.KT | K-Theory and Homology | 73 pages. Proposition 3.3 was corrected and references were added | Proposition 3.3 | Magnetic Equivariant K-theory |
2503.10313 | 1 | v1 | https://arxiv.org/abs/2503.10313 | 2025-03-13T12:47:45 | math.RA | Rings and Algebras | 29 pages, 1 table. Corrected Theorem 4.8, added Corollary 4.9, added Table 1, added Proposition 7.12 and modified remarks in the last section. Many other typo corrected | Theorem 4.8 | Central series' and ($n$)-isoclinism of skew left braces |
2503.08957 | 1 | v2 | https://arxiv.org/abs/2503.08957 | 2025-03-11T23:20:33 | math.CV | Complex Variables | The proof of Lemma 5 is incorrect: we do not have $H(M_\mathcal S)\subset M_\infty$ since $M_\infty$ is defined by 2 equations and $Im(w)=0$ has not be considered in the proof. This affects the main result, and we do not know whether it is true | Lemma 5 | Real algebraic surfaces biholomorphically equivalent but not algebraically equivalent |
2503.02340 | 1 | v1 | https://arxiv.org/abs/2503.02340 | 2025-03-04T07:02:49 | math.AP | Analysis of PDEs | 21 Pages. Corrected a statement in Lemma 2.2 to address a minor gap in the proof from the previous version | Lemma 2.2 | Sharp stability for critical points of the Sobolev inequality in the absence of bubbling |
2504.10302 | 1 | v1 | https://arxiv.org/abs/2504.10302 | 2025-04-14T15:11:12 | math.CO | Combinatorics | 16 pages, corrected version with substantial modifications, Theorem 1.2 in the former version was not correct and has changed, new coauthor | Theorem 1.2 | Nonnegativity of signomials with Newton simplex over convex sets |
2504.02276 | 1 | v1 | https://arxiv.org/abs/2504.02276 | 2025-04-03T04:50:47 | math.MG | Metric Geometry | 9 pages; substantial revisions throughout, including removing Lemma 4.3, which was in error, adding Theorem 1.3, and correcting the bounds in the main theorem | Lemma 4.3, Theorem 1.1 | Distortion from spheres into Euclidean space |
2504.19891 | 1 | v1 | https://arxiv.org/abs/2504.19891 | 2025-04-28T15:24:55 | math.GT | Geometric Topology | 14 pages, 1 figure, comments are welcome! v2 : corrected gap in proof of Proposition 4.3, updated reference to recent preprint by C. Lecuire (arXiv:2510.07087) | Proposition 4.3 | Bending parameterization of one-sided degenerated Kleinian surface groups |
2504.08090 | 1 | v1 | https://arxiv.org/abs/2504.08090 | 2025-04-10T19:36:16 | math.NT | Number Theory | The previous proof of proposition 3 was incorrect, the hypotheses of proposition 3 (ii) have been narrowed to allow a correct proof. It does not change the conclusions we draw of the proposition. The introduction was reformulated in a (hopefully) clearer way | Proposition 3 | Regular version of the inverse Galois problem for skew fields |
2504.15000 | 1 | v1 | https://arxiv.org/abs/2504.15000 | 2025-04-21T10:00:07 | math.AP | Analysis of PDEs | We have corrected the statement and argument of Proposition 4.1(b). Comments are welcome | Proposition 4.1(b) | Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions |
2504.03243 | 1 | v1 | https://arxiv.org/abs/2504.03243 | 2025-04-04T07:46:53 | math.AG | Algebraic Geometry | 76 pages. I have corrected the errors in the version 1. Theorem 3.4 and Corollary 3.5 were not true as they are. There is a counterexample to Corollary 3.5 with $p=q=0,$ given by the harmonic function $r^{2-2n}.$ Also Lemma 6.5 was not really proved | Theorem 3.4, Corollary 3.5, Lemma 6.5 | Deformations of Compact Calabi--Yau Conifolds |
2504.06686 | 1 | v1 | https://arxiv.org/abs/2504.06686 | 2025-04-09T08:46:05 | math.PR | Probability | We fix a gap in the proofs of Theorem 2.3 and 2.4 by imposing an additional technical assumption, 18 pages | Theorem 2.3, Theorem 2.4 | Quantitative Halmos-Savage theorems and robust large financial markets |
2504.08105 | 1 | v1 | https://arxiv.org/abs/2504.08105 | 2025-04-10T20:02:39 | math.DG | Differential Geometry | 47 pages. Comments are welcome. There is a mistake in Lemma 5.7 of the previous version, which implies that the energy reduction result holds only for manifolds that are both non-umbilic. Consequently, we can establish an energy reduction criterion that may help prevent topology loss, rather than a non-existence result | Lemma 5.7 | Non-existance of minimizers for Fourth order Willmore energy |
2505.20576 | 1 | v2 | https://arxiv.org/abs/2505.20576 | 2025-05-26T23:23:38 | math.DG | Differential Geometry | 29 pages. v3 is a substantial rewrite of the paper. Versions 1 and 2 contain a fatal error in Lemma 3.11 (old numbering), so the main claims of those versions are invalid as stated. This version gives a revised symmetry result and includes results for expanders | Lemma 3.11 | Uniqueness of asymptotically cylindrical steady gradient Ricci solitons |
2505.10683 | 1 | v2 | https://arxiv.org/abs/2505.10683 | 2025-05-15T19:59:22 | math.RT | Representation Theory | Clarified the notion of cuts vs. gradings. Removed the incorrect Proposition 2.15 (v2) and adapted affected proofs. 28 pages. Comments welcome! | Proposition 2.15 | $2$-representation infinite algebras from non-abelian subgroups of $\operatorname{SL}_3$. Part I: Extensions of abelian groups |
2505.15159 | 1 | v1 | https://arxiv.org/abs/2505.15159 | 2025-05-21T06:24:34 | math.AG | Algebraic Geometry | 22 pages; V2: corrected a mistake in Lemma 4.1 of v1; definitive version, to appear in Forum of Mathematics Sigma | Lemma 4.1 | Rank jumps and Multisections of elliptic fibrations on K3 surfaces |
2505.08549 | 1 | v2 | https://arxiv.org/abs/2505.08549 | 2025-05-13T13:21:39 | math.NT | Number Theory | 10 pages; The statement and proof of Lemma 8 have been revised and corrected, Proof of Theorem 1 is rewritten | Lemma 8 | A generalization of Dumas irreducibility criterion |
2505.04296 | 1 | v1 | https://arxiv.org/abs/2505.04296 | 2025-05-07T10:08:03 | math.GR | Group Theory | In this version, Theorem 2 and its proof have been corrected | Theorem 2 | $n$-Valued Groups, Kronecker Sums, and Wendt's $(x, y, z)$-Matrices |
2505.01716 | 1 | v1 | https://arxiv.org/abs/2505.01716 | 2025-05-03T06:59:21 | math.AG | Algebraic Geometry | Lemma 4.2 in v1 is wrong. We modify the proof of Theorem 4.1 | Lemma 4.2 | Variation of Tannaka groups of perverse sheaves in family |
2301.09222 | 2 | v1 | https://arxiv.org/abs/2301.09222 | 2023-01-22T22:35:00 | math.DG | Differential Geometry | 22 pages. The statement of Theorem 1.4 is corrected. Some typos are corrected | Theorem 1.4 | A New Monotone Quantity in Mean Curvature Flow Implying Sharp Homotopic Criteria |
2301.02634 | 2 | v1 | https://arxiv.org/abs/2301.02634 | 2023-01-06T18:28:13 | math.LO | Logic | Substantial changes to the proof of Theorem 3, which is now only stated for $\aleph_2$. Amendments to the proof of Theorem 2. Other small changes throughout | Theorem 3 | On disjoint stationary sequences |
2301.01099 | 2 | v1 | https://arxiv.org/abs/2301.01099 | 2023-01-03T13:50:22 | math.AG | Algebraic Geometry | Withdrawn due to an error in Theorem 4.3 | Theorem 4.3 | Logarithmic motives with compact support |
2301.00525 | 2 | v1 | https://arxiv.org/abs/2301.00525 | 2023-01-02T04:27:45 | math.DG | Differential Geometry | 21 pages. Previous Lemma 2.5 was wrong and has been fixed. This required a new approach. Sections 4 and 5 are new, and replace former Sections 3-5. New hypothesis in the main statement regarding the graded object and the codimension of the blown-up locus | Lemma 2.5 | Blowing-up Hermitian Yang--Mills connections |
2301.05129 | 2 | v1 | https://arxiv.org/abs/2301.05129 | 2023-01-12T16:31:59 | math.RT | Representation Theory | v2 fixes a mistake in Theorem 3.2.1 and implements some minor improvements | Theorem 3.2.1 | Holomorphic Induction Beyond the Norm-Continuous Setting, With Applications to Positive Energy Representations |
2301.01591 | 2 | v1 | https://arxiv.org/abs/2301.01591 | 2023-01-04T13:08:14 | math.CA | Classical Analysis and ODEs | 19 pages, no figures; correction in the proof of Lemma 2.3 | Lemma 2.3 | Extremal polynomials on the $n$-grid |
2301.03562 | 2 | v1 | https://arxiv.org/abs/2301.03562 | 2023-01-09T18:27:46 | math.FA | Functional Analysis | Withdrawn due to a non-repairable flaw in the proof of Theorem 2.5 | Theorem 2.5 | (Non-)amenability of $\mathcal B(E)$ and Banach space geometry |
2302.08300 | 2 | v1 | https://arxiv.org/abs/2302.08300 | 2023-02-16T13:57:19 | cs.LG | Machine Learning (CS) | Fixed bug in proof of Lemma 6.1 (result remains unaffected) | Lemma 6.1 | Deterministic Nonsmooth Nonconvex Optimization |
2302.06907 | 2 | v1 | https://arxiv.org/abs/2302.06907 | 2023-02-14T08:49:56 | math.AG | Algebraic Geometry | Final Version. The proof of Theorem 3.5 is fixed | Theorem 3.5 | Bertini type results and their applications |
2302.07368 | 2 | v1 | https://arxiv.org/abs/2302.07368 | 2023-02-14T22:04:20 | math.NT | Number Theory | there was an error in Theorem 2.3 | Theorem 2.3 | A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function |
2302.11287 | 2 | v1 | https://arxiv.org/abs/2302.11287 | 2023-02-22T11:10:44 | math.FA | Functional Analysis | All comments welcome. This current version fix some mistakes in the proofs of some previous results. In addition, it is shorter and more polished. Theorem E of the previous version was excluded, because its proof contains an essential flaw and although it is possible to correct it, according to one of the referees, the... | Theorem E | Remarks on the FPP in Banach spaces with unconditional Schauder basis |
2302.08174 | 2 | v1 | https://arxiv.org/abs/2302.08174 | 2023-02-16T09:42:55 | cs.SC | cs.SC | Some minor revisions, corrects a mistake in the proof of lemma 2.2 | Lemma 2.2 | A Direttissimo Algorithm for Equidimensional Decomposition |
2302.11971 | 2 | v1 | https://arxiv.org/abs/2302.11971 | 2023-02-23T12:41:51 | stat.CO | stat.CO | We find some error in the proof of Theorem 2 and the associated result may not be correct | Theorem 2 | Efficiently handling constraints with Metropolis-adjusted Langevin algorithm |
2302.11738 | 2 | v1 | https://arxiv.org/abs/2302.11738 | 2023-02-23T01:57:34 | math.CO | Combinatorics | This new version contains a correction of Proposition 2 of Section 4. We also added relevant references | Proposition 2 | On the non-existence of perfect codes in the NRT-metric |
2302.07213 | 2 | v1 | https://arxiv.org/abs/2302.07213 | 2023-02-14T17:39:04 | math.AG | Algebraic Geometry | Comments are welcome! Version 2: Definition 2.2 modified and proof of Proposition 3.1 corrected. Same main results | Proposition 3.1 | A relative Yau-Tian-Donaldson conjecture and stability thresholds |
2302.09015 | 2 | v1 | https://arxiv.org/abs/2302.09015 | 2023-02-17T17:29:58 | math.MG | Metric Geometry | There is a mistake in the proof of Lemma 4 of the paper, which invalidates the proof | Lemma 4 | Homotheties and Coverings by Convex Sets |
2302.03484 | 2 | v1 | https://arxiv.org/abs/2302.03484 | 2023-02-06T18:01:33 | math.CO | Combinatorics | There is a mistake in the proof of Proposition 1.2, at the end of page 4 | Proposition 1.2 | A proof of the union-closed sets conjecture |
2303.05853 | 2 | v1 | https://arxiv.org/abs/2303.05853 | 2023-03-10T11:05:45 | math.AG | Algebraic Geometry | Existence part of Proposition 3.13 is incorrect invalidating the argument | Proposition 3.13 | Generically isotropic reductive group schemes are locally isotropic |
2303.03272 | 2 | v1 | https://arxiv.org/abs/2303.03272 | 2023-03-06T16:41:57 | cs.LG | Machine Learning (CS) | There is an unfixable mistake in the proof of Lemma 15, as kindly brought to our attention by Peng Zhao. The mistake is not present in the earlier NeurIPS 2022 conference version of the paper, which does not include this result | Lemma 15 | Accelerated Rates between Stochastic and Adversarial Online Convex Optimization |
2303.02313 | 2 | v1 | https://arxiv.org/abs/2303.02313 | 2023-03-04T04:14:38 | math.OA | Operator Algebras | [v2]: 50 pages; pictures typeset with TikZ; Lemma 3.3 added, and proof of Proposition 7.2 corrected; thanks to Johannes Christensen and Sergiy Neshveyev for helpful discussions | Proposition 7.2 | Ideal structure of C*-algebras of commuting local homeomorphisms |
2303.16284 | 2 | v1 | https://arxiv.org/abs/2303.16284 | 2023-03-28T19:55:48 | math.PR | Probability | 19 pages; minor improvements; correction of mistakes in Lemma 5.1 and Proposition 5.2 | Lemma 5.1, Proposition 5.2 | Self-overlap correction simplifies the Parisi formula for vector spins |
2303.13176 | 2 | v1 | https://arxiv.org/abs/2303.13176 | 2023-03-23T11:14:07 | math.DG | Differential Geometry | 36 pages; v2 corrects Theorem 2.4.7, which is now Theorem 2.4.9 | Theorem 2.4.7 | Lie 2-groups from loop group extensions |
2304.06888 | 2 | v1 | https://arxiv.org/abs/2304.06888 | 2023-04-14T01:45:42 | math.RA | Rings and Algebras | Theorem A, page 19, is wrong. The only simple Lie algebra for which the statement of the theorem is valid is the simple Lie algebra of rank one | Theorem A | Double extensions for quadratic Hom-Lie algebras with equivariant twist maps |
2304.11596 | 2 | v1 | https://arxiv.org/abs/2304.11596 | 2023-04-23T10:01:48 | math.CO | Combinatorics | There was an error in the proof of the mian result Theorem 3.1 | Theorem 3.1 | Connectivity keeping trees in 3-connected bipartite graphs with girth conditions |
2304.07947 | 2 | v1 | https://arxiv.org/abs/2304.07947 | 2023-04-17T02:10:44 | math.NA | Numerical Analysis | There are errors in the crucial Lemma 3.1, which is a result from our previous work that has not undergone peer review. During the refinement of this manuscript, one of our colleagues pointed out a potential mistake in the proof of this result, indicating that certain corrections are needed to ensure its correctness. T... | Lemma 3.1 | Deep Neural Network Approximation of Composition Functions: with application to PINNs |
2304.06584 | 2 | v1 | https://arxiv.org/abs/2304.06584 | 2023-04-13T14:48:15 | math.OA | Operator Algebras | In the proof of the Lemma 5.3, I implicitely assumed φ(1-u)=\lim \sum φ(1-u_m), but it was incorrect | Lemma 5.3 | Geometric Property (T) and Positive Cones of Real Algebraic Roe Algebras |
2305.12145 | 2 | v1 | https://arxiv.org/abs/2305.12145 | 2023-05-20T09:03:01 | math.LO | Logic | This is the published version updated with a corrected proof of Lemma 4.2, together with a new remark, Remark A, which follows Remark 4.3 | Lemma 4.2 | Ax-Kochen-Ershov principles for finitely ramified henselian fields |
2305.06637 | 2 | v1 | https://arxiv.org/abs/2305.06637 | 2023-05-11T08:15:49 | math.DG | Differential Geometry | 21 pages; a flaw in the proof of Theorem 4.3 was fixed | Theorem 4.3 | Weyl structures with special holonomy on compact conformal manifolds |
2305.19934 | 2 | v1 | https://arxiv.org/abs/2305.19934 | 2023-05-31T15:18:52 | math.AP | Analysis of PDEs | 17 pages. Corrected a mistake in Theorem 2.2 | Theorem 2.2 | On the Lavrentiev gap for convex, vectorial integral functionals |
2305.02529 | 2 | v1 | https://arxiv.org/abs/2305.02529 | 2023-05-04T03:42:10 | math.CA | Classical Analysis and ODEs | In the arxiv version of this manuscript, the Lemma 3.4 is not correct, which should be proved. Since the Hadamard's factorization is important for the reconstrucion of potentials, while for the first formulae, we should prove it again | Lemma 3.4 | Inverse spectral problem for differential pencils with a frozen argument |
2305.19464 | 2 | v1 | https://arxiv.org/abs/2305.19464 | 2023-05-31T00:24:13 | math.RA | Rings and Algebras | Lemma 3 is incorrect | Lemma 3 | On differential polynomial rings with locally nilpotent derivations |
2305.08639 | 2 | v1 | https://arxiv.org/abs/2305.08639 | 2023-05-15T13:32:04 | math.GR | Group Theory | Proof of Theorem 5.4 is wrong. In particular, the map that is claimed to be a homomorphism, it is not a homomorphism. Also, some of the main results of the paper rely on that Theorem | Theorem 5.4 | Abelian quotients for groups generated by cubed half-twists |
2306.13463 | 2 | v1 | https://arxiv.org/abs/2306.13463 | 2023-06-23T12:06:57 | math.NT | Number Theory | 71 pages; corrected proofs of Lemmas 3.3 and 5.7, various other minor corrections and amendments | Lemma 3.3, Lemma 5.7 | The large Galois orbits conjecture under multiplicative degeneration |
2306.17512 | 2 | v1 | https://arxiv.org/abs/2306.17512 | 2023-06-30T09:56:34 | gr-qc | gr-qc | v2: 16 pages, corrected statement and proof of Theorem 1.3, added Appendix with more details of the proof of the main identities, minor improvements. To appear in the Journal of Differential Geometry | Theorem 1.3 | Intrinsic rigidity of extremal horizons |
2306.12039 | 2 | v1 | https://arxiv.org/abs/2306.12039 | 2023-06-21T06:08:47 | math.AP | Analysis of PDEs | The proof of Proposition 3.1 of the previous version contained an error which is corrected in this version | Proposition 3.1 | Classification of solutions to the anisotropic $N$-Liouville equation in $\mathbb{R}^N$ |
2306.04196 | 2 | v1 | https://arxiv.org/abs/2306.04196 | 2023-06-07T07:01:17 | math.CA | Classical Analysis and ODEs | 32 pages. There was an error in proof of Theorem 1.5, so we added an assumption to fix it. Typos and symbolic errors were also fixed | Theorem 1.5 | $L^p$ improving properties and maximal estimates for certain multilinear averaging operators |
2307.12066 | 2 | v1 | https://arxiv.org/abs/2307.12066 | 2023-07-22T12:22:33 | math.GT | Geometric Topology | We have decided to withdraw this paper due to a mistake in the main result. A counterexample to the principal theorem has come to our attention, invalidating the statement as originally formulated. We hope to upload a corrected version in the future | Main Theorem | Simple loop conjecture for discrete representations in PSL$(2,\,\mathbb R)$ |
2307.13303 | 2 | v1 | https://arxiv.org/abs/2307.13303 | 2023-07-25T07:37:59 | math.DG | Differential Geometry | There was a flaw in the proof of Theorem 1.1 | Theorem 1.1 | Topological classification of Bazaikin spaces |
2307.10756 | 2 | v1 | https://arxiv.org/abs/2307.10756 | 2023-07-20T10:41:32 | math.AP | Analysis of PDEs | We added Section 2.2 and we fixed the proof of Proposition 3.3 | Proposition 3.3 | Monge solutions for discontinuous Hamilton-Jacobi equations in Carnot groups |
2307.01627 | 2 | v1 | https://arxiv.org/abs/2307.01627 | 2023-07-04T10:22:31 | math.GR | Group Theory | The proof of Theorem 2.6 is incorrect. Without this theorem the main claim of the paper becomes unproven | Theorem 2.6 | Noncoprime action of a cyclic group |
2307.11501 | 2 | v1 | https://arxiv.org/abs/2307.11501 | 2023-07-21T11:14:18 | math.AP | Analysis of PDEs | We have realized that Theorem 2.4 is not correct | Theorem 2.4 | The lack of exponential stability of a Bresse system subjected only to two dampings |
2307.06627 | 2 | v1 | https://arxiv.org/abs/2307.06627 | 2023-07-13T08:46:19 | cs.DS | Data Structures and Algorithms | Theorem 3 and Theorem 5 are incorrect, and more efforts are needed to fix existing issues | Theorem 3, Theorem 5 | Fast and Practical Quantum-Inspired Classical Algorithms for Solving Linear Systems |
2307.11176 | 2 | v1 | https://arxiv.org/abs/2307.11176 | 2023-07-20T18:30:27 | math.AC | Commutative Algebra | There is an irrecoverable error in Lemma 2.5. There are counterexamples even in case R=Q[x]. The lemma is crucial for the rest of the paper and it does not work unless strong assumptions are made (like: the modules are graded) | Lemma 2.5 | Local equivalence via homological algebra |
2307.10105 | 2 | v1 | https://arxiv.org/abs/2307.10105 | 2023-07-19T16:24:21 | math.PR | Probability | Error in the proof of Theorem 3.1 | Theorem 3.1 | Percolation on hypergraphs and the hard-core model |
2308.06390 | 2 | v1 | https://arxiv.org/abs/2308.06390 | 2023-08-11T21:13:52 | math.AG | Algebraic Geometry | error in the proof of Theorem A | Theorem A | On the conjugacy classes of monomial birational maps |
2308.15511 | 2 | v1 | https://arxiv.org/abs/2308.15511 | 2023-08-29T14:49:05 | math.LO | Logic | There is a mistake in Proposition 3.4 | Proposition 3.4 | The pcf theory of non fixed points |
2309.15473 | 2 | v1 | https://arxiv.org/abs/2309.15473 | 2023-09-27T08:13:37 | math.CO | Combinatorics | Correction to proof of Theorem 4.6, generalization of Lemmas 3.4 and 3.6 | Theorem 4.6 | Cumulant expansion for counting Eulerian orientations |
2309.08509 | 2 | v1 | https://arxiv.org/abs/2309.08509 | 2023-09-15T16:13:00 | math.AG | Algebraic Geometry | 42 pages. We fixed a gap in the proofs of Corollary 5.5 (1)=>(2) and of Lemma 6.5 | Corollary 5.5, Lemma 6.5 | Stability conditions for line bundles on nodal curves |
2309.13180 | 2 | v1 | https://arxiv.org/abs/2309.13180 | 2023-09-22T20:56:45 | math.CO | Combinatorics | Fixed an error in Theorem 3.9 | Theorem 3.9 | Modulus of edge covers and stars |
2309.00895 | 2 | v1 | https://arxiv.org/abs/2309.00895 | 2023-09-02T10:23:53 | math.OC | Optimization and Control | There is error in Lemma 3.1 | Lemma 3.1 | The Dantzig Selector: Sparse Signals Recovery via l_p-q Minimization |
2309.11967 | 2 | v1 | https://arxiv.org/abs/2309.11967 | 2023-09-21T10:49:47 | math.CA | Classical Analysis and ODEs | We found an error in Lemma 4, namely, the factor m! is missed in formula (32). This implies that the results given in Section 4 are wrong, and therefore the proof of our main result is also wrong | Lemma 4 | Strong Converse Inequalities for Bernstein Operators via Krawtchouk Polynomials |
2309.15765 | 2 | v1 | https://arxiv.org/abs/2309.15765 | 2023-09-27T16:27:28 | math.NT | Number Theory | The proof of Theorem 3.10 is incorrect | Theorem 3.10 | A continuous version of multiple zeta values with double variables |
2309.03137 | 2 | v1 | https://arxiv.org/abs/2309.03137 | 2023-09-06T16:19:09 | math.LO | Logic | The proof of the main Theorem 3.7 has some flaws. A minor one, which can be fixed, is the choice of \mathcal{H} as "the set of all sinkless induced subgraphs of H having finitely many ends." A more serious one is that the proof could be used to establish an untrue claim. It is not clear yet what specific mistake causes... | Theorem 3.7 | There are only two paradoxes |
2309.12127 | 2 | v1 | https://arxiv.org/abs/2309.12127 | 2023-09-21T14:47:56 | math.AT | Algebraic Topology | corrects Lemma 3.2 | Lemma 3.2 | Compact sheaves on a locally compact space |
2310.16947 | 2 | v1 | https://arxiv.org/abs/2310.16947 | 2023-10-25T19:32:07 | math.FA | Functional Analysis | V2: Fixed Lemma 6.7, fixed some typos, improved some of the wording | Lemma 6.7 | On sequential greedy-type bases |
2310.04385 | 2 | v1 | https://arxiv.org/abs/2310.04385 | 2023-10-06T17:23:11 | math.NT | Number Theory | There is a gap in the paper due to a mistake in Proposition 2.1. The elements chosen by Colmez satisfying the Unit Assumption do not generalize the whole unit groups. We are now trying to resolve this problem by considering the sign fundamental domain as in Charollois-Dasgupta-Greenberg (Integral Eisenstein Cocycles on... | Proposition 2.1 | On the Torsion Congruence for Zeta Functions of Totally Real Fields |
2310.14473 | 2 | v1 | https://arxiv.org/abs/2310.14473 | 2023-10-23T01:04:18 | math.PR | Probability | Version 1 of the paper posted on arXiv had an incorrect Proposition 2.1, which was used to erroneously derive the equation $P_c = \overline P_c$. The proposition was removed in Ver 2, and the main theorem now assumes the equation. I would like to find sufficient conditions for the equation | Proposition 2.1 | Optimal exercise decision of American options under model uncertainty |
2311.15172 | 2 | v1 | https://arxiv.org/abs/2311.15172 | 2023-11-26T03:07:34 | math.CO | Combinatorics | fixed Proposition 2.11 | Proposition 2.11 | Toward a density Corrádi--Hajnal theorem for degenerate hypergraphs |
2311.15758 | 2 | v1 | https://arxiv.org/abs/2311.15758 | 2023-11-27T12:27:53 | math.AP | Analysis of PDEs | The third item in Theorem 1.1 is wrong. Minimality of the homogeneous critical point follows from calculations in an upcoming work by P. Bauman and D. Phillips | Theorem 1.1 | A symmetry breaking phenomenon for anisotropic harmonic maps from a 2D annulus into $\mathbb S^1$ |
2311.04125 | 2 | v1 | https://arxiv.org/abs/2311.04125 | 2023-11-07T16:51:36 | math.CO | Combinatorics | Mistake in Lemma 5.1 | Lemma 5.1 | New bounds in the Bogolyubov-Ruzsa lemma |
2312.00542 | 2 | v1 | https://arxiv.org/abs/2312.00542 | 2023-12-01T12:42:14 | math.AG | Algebraic Geometry | v2: Major revision. The proof of the main finiteness theorem (theorem 2.27) is now fixed | Theorem 2.27 | Completion of two-parameter period maps by nilpotent orbits |
2312.11106 | 2 | v1 | https://arxiv.org/abs/2312.11106 | 2023-12-18T11:12:10 | math.AT | Algebraic Topology | Error in proof of proposition 5.10 invalidates it as well as Theorems A and C. Unable to fix such error | Proposition 5.10 | Sharpness for the Benson-Solomon fusion systems |
2312.12792 | 2 | v1 | https://arxiv.org/abs/2312.12792 | 2023-12-20T06:29:44 | cs.LO | cs.LO | A serious error in the proof of the main theorem (Theorem 3.2) is found | Theorem 3.2 | Cut elimination for propositional cyclic proof systems with fixed-point operators |
2312.03550 | 2 | v1 | https://arxiv.org/abs/2312.03550 | 2023-12-06T15:32:31 | math.PR | Probability | 15 pages, proof of Proposition 3.6 corrected, typos corrected | Proposition 3.6 | Lipschitz-continuity of time constant in generalized First-passage percolation |
2312.01413 | 2 | v1 | https://arxiv.org/abs/2312.01413 | 2023-12-03T14:37:17 | math.AG | Algebraic Geometry | corrected the computation on Proposition 3.4 | Proposition 3.4 | Integrality of genus zero Gopakumar-Vafa type invariants of semi-positive varieties |
ArxivMathGradingBench
A benchmark of 100 arXiv mathematics papers that contained an error later corrected by the authors in a subsequent version, each annotated with the location of the error. Introduced in Pseudo-Formalization for Automatic Proof Verification to evaluate LLM proof verifiers on real research-level mathematics.
Benchmark versions
The benchmark was first released with 35 papers and later expanded to 100.
The benchmark_version column records which generation a paper belongs to:
benchmark_version |
papers | |
|---|---|---|
1 |
35 | the original release; the results in the paper are on these |
2 |
65 | added in the expansion |
Downloading the papers
This dataset provides the paper metadata and error annotations. To download the paper PDFs, follow the instructions in the code repository:
https://github.com/Slim205/pseudo-formalization
Columns
| column | description |
|---|---|
arxiv_id |
arXiv identifier (e.g. 2501.04482) |
benchmark_version |
1 = original 35-paper release, 2 = added in the expansion |
version |
paper version used by the benchmark (e.g. v1 / v2) |
url |
arXiv abstract URL |
v1_date |
date of the first arXiv version |
category |
arXiv subject class (e.g. math.FA) |
category_name_readable |
human-readable subject name |
comments |
the author's revision comment (often describing the fix) |
Location of Error |
ground-truth error location(s), e.g. Theorem 19 |
title |
paper title |
arxiv_id is a string and the part after the dot is always five digits. Some
ids end in a significant zero (2504.15000, 2312.03550); loading them into
a numeric column — a spreadsheet, or pandas without dtype=str — silently
truncates them to 2504.15 and they will then match no paper.
Citation
@article{barkallah2026pseudo,
title={Pseudo-Formalization for Automatic Proof Verification},
author={Barkallah, Slim and Bailey, Luke and Wen, Kaiyue and Abouzaid, Mohammed and Ma, Tengyu},
journal={arXiv preprint arXiv:2605.20531},
year={2026}
}
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