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LukeBailey181Pub
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ArxivMathGradingBench

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Text Classification
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json
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English
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< 1K
ArXiv:
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mathematics
proof-verification
arxiv
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ArxivMathGradingBench (metadata-only release)

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  1. .gitattributes +60 -0
  2. README.md +54 -0
  3. arxiv_grading_bench.jsonl +35 -0
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+ *.7z filter=lfs diff=lfs merge=lfs -text
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+ *.arrow filter=lfs diff=lfs merge=lfs -text
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+ *.safetensors filter=lfs diff=lfs merge=lfs -text
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+ *.tar.* filter=lfs diff=lfs merge=lfs -text
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+ # Audio files - uncompressed
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+ # Image files - compressed
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+ *.jpg filter=lfs diff=lfs merge=lfs -text
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README.md ADDED
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+ ---
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+ task_categories:
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+ - text-classification
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+ language:
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+ - en
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+ tags:
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+ - mathematics
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+ - proof-verification
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+ - arxiv
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+ pretty_name: ArxivMathGradingBench
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+ size_categories:
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+ - n<1K
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+ ---
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+
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+ # ArxivMathGradingBench
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+
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+ A benchmark of 35 arXiv mathematics papers that contained an error later
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+ corrected by the authors in a subsequent version, each annotated with the
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+ location of the error. Introduced in *Pseudo-Formalization for Automatic
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+ Proof Verification* to evaluate LLM proof verifiers on real research-level
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+ mathematics.
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+
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+ ## Downloading the papers
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+
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+ This dataset provides the paper metadata and error annotations. To download
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+ the paper PDFs, follow the instructions in the code repository:
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+
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+ **https://github.com/Slim205/pseudo-formalization**
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+
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+ ## Columns
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+
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+ | column | description |
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+ |---|---|
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+ | `arxiv_id` | arXiv identifier (e.g. `2501.04482`) |
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+ | `version` | paper version used by the benchmark (e.g. `v1` / `v2`) |
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+ | `url` | arXiv abstract URL |
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+ | `v1_date` | date of the first arXiv version |
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+ | `category` | arXiv subject class (e.g. `math.FA`) |
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+ | `category_name_readable` | human-readable subject name |
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+ | `comments` | the author's revision comment (often describing the fix) |
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+ | `Location of Error` | ground-truth error location(s), e.g. `Theorem 19` |
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+ | `Liscence` | the paper's license as recorded on arXiv |
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+ | `title_extracted_from_tex` | paper title |
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+
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+ ## Citation
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+
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+ ```
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+ @article{barkallah2026pseudo,
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+ title={Pseudo-Formalization for Automatic Proof Verification},
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+ author={Barkallah, Slim and Bailey, Luke and Wen, Kaiyue and Abouzaid, Mohammed and Ma, Tengyu},
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+ journal={arXiv preprint arXiv:2605.20531},
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+ year={2026}
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+ }
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+ ```
arxiv_grading_bench.jsonl ADDED
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+ {"arxiv_id": "2501.01561", "version": "v1", "url": "https://arxiv.org/abs/2501.01561", "v1_date": "2025-01-02T22:35:26", "category": "math.FA", "category_name_readable": "Functional Analysis", "comments": "45 pages. Various improvements of the presentation, and an error in the proof of Theorem 19 is corrected", "Location of Error": "Theorem 19", "Liscence": "CC 4.0", "title_extracted_from_tex": "On coarse geometry of separable dual Banach spaces"}
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+ {"arxiv_id": "2501.04482", "version": "v2", "url": "https://arxiv.org/abs/2501.04482", "v1_date": "2025-01-08T13:06:44", "category": "math.LO", "category_name_readable": "Logic", "comments": "In this version, the erroneous Proposition 6.10 is corrected", "Location of Error": "Proposition 6.10", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Categories of orthosets and adjointable maps"}
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+ {"arxiv_id": "2501.05996", "version": "v1", "url": "https://arxiv.org/abs/2501.05996", "v1_date": "2025-01-10T14:28:41", "category": "math.AT", "category_name_readable": "Algebraic Topology", "comments": "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", "Location of Error": "Theorem B", "Liscence": "CC BY-SA 4.0", "title_extracted_from_tex": "Poset functor cocalculus and applications to topological data analysis"}
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+ {"arxiv_id": "2501.08877", "version": "v1", "url": "https://arxiv.org/abs/2501.08877", "v1_date": "2025-01-15T15:48:33", "category": "math.AP", "category_name_readable": "Analysis of PDEs", "comments": "Corrected a major error in the proof of Theorem 3.1 and revised other flawed proofs", "Location of Error": "Theorem 3.1", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Connecting SPDE to SGMs"}
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+ {"arxiv_id": "2501.08692", "version": "v2", "url": "https://arxiv.org/abs/2501.08692", "v1_date": "2025-01-15T09:55:08", "category": "math.GR", "category_name_readable": "Group Theory", "comments": "19 pages. Fixes a mistake in the proof of Theorem 1.2, by refining the definition of balanced Artin groups", "Location of Error": "Theorem 1.2", "Liscence": "CC 4.0", "title_extracted_from_tex": "On the $\\Sigma^1$ and $\\Sigma^2$-invariants of Artin groups"}
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+ {"arxiv_id": "2501.17504", "version": "v1", "url": "https://arxiv.org/abs/2501.17504", "v1_date": "2025-01-29T09:21:36", "category": "math.AC", "category_name_readable": "Commutative Algebra", "comments": "Removed redundant and incorrect proof of Lemma 2.3, updated introduction", "Location of Error": "Lemma 2.3", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Rational Invariants of even degree polynomials under the orthogonal group"}
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+ {"arxiv_id": "2501.13445", "version": "v2", "url": "https://arxiv.org/abs/2501.13445", "v1_date": "2025-01-23T07:52:28", "category": "math.OC", "category_name_readable": "Optimization and Control", "comments": "We find a counterexample to illustrate that Theorem 5 (iii) and (iv) are incorrect", "Location of Error": "Theorem 5", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Comments and extensions on ``State-equivalent form and minimum-order compensator design for rectangular descriptor systems''"}
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+ {"arxiv_id": "2501.05489", "version": "v1", "url": "https://arxiv.org/abs/2501.05489", "v1_date": "2025-01-09T06:01:52", "category": "math.DG", "category_name_readable": "Differential Geometry", "comments": "I find that there is a mistake in the proof of Theorem 2.2, I give a new proof in this version", "Location of Error": "Theorem 2.2", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Singularity of mean curvature flow with bounded mean curvature and Morse index"}
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+ {"arxiv_id": "2501.04321", "version": "v2", "url": "https://arxiv.org/abs/2501.04321", "v1_date": "2025-01-08T07:35:49", "category": "math.CO", "category_name_readable": "Combinatorics", "comments": "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 expository article growing out of the correct parts of this work will be posted soon", "Location of Error": "Theorem 2.1", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Matroid intersection and packing/covering conjectures are true in the class of finitary matroids"}
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+ {"arxiv_id": "2502.02254", "version": "v1", "url": "https://arxiv.org/abs/2502.02254", "v1_date": "2025-02-04T12:02:47", "category": "math.NT", "category_name_readable": "Number Theory", "comments": "Fixed proof of Lemma 8, other minor changes", "Location of Error": "Lemma 8", "Liscence": "CC 4.0", "title_extracted_from_tex": "Non-isomorphic abelian varieties with the same arithmetic"}
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+ {"arxiv_id": "2502.10278", "version": "v1", "url": "https://arxiv.org/abs/2502.10278", "v1_date": "2025-02-14T16:36:38", "category": "math.GR", "category_name_readable": "Group Theory", "comments": "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", "Location of Error": "Proposition 5.1", "Liscence": "CC 4.0", "title_extracted_from_tex": "Profinite Rigidity over Noetherian Domains"}
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+ {"arxiv_id": "2502.00898", "version": "v1", "url": "https://arxiv.org/abs/2502.00898", "v1_date": "2025-02-02T20:16:50", "category": "math.DS", "category_name_readable": "Dynamical Systems", "comments": "Lemma 4.1 has been corrected after N. Tedesco pointed out a mistake in the calculations. The main results are unchanged", "Location of Error": "Lemma 4.1", "Liscence": "CC 4.0", "title_extracted_from_tex": "Finite codimension stability of invariant surfaces"}
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+ {"arxiv_id": "2502.10890", "version": "v1", "url": "https://arxiv.org/abs/2502.10890", "v1_date": "2025-02-15T19:46:27", "category": "cs.DS", "category_name_readable": "Data Structures and Algorithms", "comments": "Appeared at ICALP 2025. Fixed small mistake in Lemma 20", "Location of Error": "Lemma 20", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Light Edge Fault Tolerant Graph Spanners"}
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+ {"arxiv_id": "2502.17415", "version": "v1", "url": "https://arxiv.org/abs/2502.17415", "v1_date": "2025-02-24T18:48:44", "category": "math.AT", "category_name_readable": "Algebraic Topology", "comments": "Version 2: fixed statement and proof of Lemma 3.5. 33 pages, 10 figures. Comments are welcome!", "Location of Error": "Lemma 3.5", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Rectification of dendroidal left fibrations"}
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+ {"arxiv_id": "2502.05831", "version": "v1", "url": "https://arxiv.org/abs/2502.05831", "v1_date": "2025-02-09T09:39:50", "category": "math.GR", "category_name_readable": "Group Theory", "comments": "An inaccuracy in the proof of Theorem 5.1 (6) has been fixed", "Location of Error": "Theorem 5.1", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Equationally separable classes of groups"}
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+ {"arxiv_id": "2503.00849", "version": "v2", "url": "https://arxiv.org/abs/2503.00849", "v1_date": "2025-03-02T10:53:27", "category": "math.PR", "category_name_readable": "Probability", "comments": "Correction of the speed of convergence in Theorem 4.5", "Location of Error": "Theorem 4.5", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Empirical distribution of ancestral lineages in populations with density-dependent interactions"}
17
+ {"arxiv_id": "2503.21136", "version": "v1", "url": "https://arxiv.org/abs/2503.21136", "v1_date": "2025-03-27T03:55:53", "category": "math.NT", "category_name_readable": "Number Theory", "comments": "14 pages, 1 figure, Minor corrections to Theorem 1.5 and Lemma 2.1", "Location of Error": "Theorem 1.5, Lemma 2.1", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Power-free palindromes and reversed primes"}
18
+ {"arxiv_id": "2503.06267", "version": "v1", "url": "https://arxiv.org/abs/2503.06267", "v1_date": "2025-03-08T16:26:04", "category": "math.KT", "category_name_readable": "K-Theory and Homology", "comments": "73 pages. Proposition 3.3 was corrected and references were added", "Location of Error": "Proposition 3.3", "Liscence": "CC 4.0", "title_extracted_from_tex": "magnetic Equivariant K-theory"}
19
+ {"arxiv_id": "2503.10313", "version": "v1", "url": "https://arxiv.org/abs/2503.10313", "v1_date": "2025-03-13T12:47:45", "category": "math.RA", "category_name_readable": "Rings and Algebras", "comments": "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", "Location of Error": "Theorem 4.8", "Liscence": "CC 4.0", "title_extracted_from_tex": "Central series' and ($n$)-isoclinism of skew left braces"}
20
+ {"arxiv_id": "2503.08957", "version": "v2", "url": "https://arxiv.org/abs/2503.08957", "v1_date": "2025-03-11T23:20:33", "category": "math.CV", "category_name_readable": "Complex Variables", "comments": "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", "Location of Error": "Lemma 5", "Liscence": "CC 4.0", "title_extracted_from_tex": "real algebraic surfaces biholomorphically equivalent but not algebraically equivalent"}
21
+ {"arxiv_id": "2503.02340", "version": "v1", "url": "https://arxiv.org/abs/2503.02340", "v1_date": "2025-03-04T07:02:49", "category": "math.AP", "category_name_readable": "Analysis of PDEs", "comments": "21 Pages. Corrected a statement in Lemma 2.2 to address a minor gap in the proof from the previous version", "Location of Error": "Lemma 2.2", "Liscence": "CC 4.0", "title_extracted_from_tex": "Sharp stability for critical points of the Sobolev inequality in the absence of bubbling"}
22
+ {"arxiv_id": "2504.10302", "version": "v1", "url": "https://arxiv.org/abs/2504.10302", "v1_date": "2025-04-14T15:11:12", "category": "math.CO", "category_name_readable": "Combinatorics", "comments": "16 pages, corrected version with substantial modifications, Theorem 1.2 in the former version was not correct and has changed, new coauthor", "Location of Error": "Theorem 1.2", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Nonnegativity of signomials with Newton simplex over convex sets"}
23
+ {"arxiv_id": "2504.02276", "version": "v1", "url": "https://arxiv.org/abs/2504.02276", "v1_date": "2025-04-03T04:50:47", "category": "math.MG", "category_name_readable": "Metric Geometry", "comments": "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", "Location of Error": "Lemma 4.3, main theorem", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "DISTORTION FROM SPHERES INTO EUCLIDEAN SPACE"}
24
+ {"arxiv_id": "2504.19891", "version": "v1", "url": "https://arxiv.org/abs/2504.19891", "v1_date": "2025-04-28T15:24:55", "category": "math.GT", "category_name_readable": "Geometric Topology", "comments": "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)", "Location of Error": "Proposition 4.3", "Liscence": "CC 4.0", "title_extracted_from_tex": "Bending parameterization of one-sided degenerated Kleinian surface groups"}
25
+ {"arxiv_id": "2504.08090", "version": "v1", "url": "https://arxiv.org/abs/2504.08090", "v1_date": "2025-04-10T19:36:16", "category": "math.NT", "category_name_readable": "Number Theory", "comments": "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", "Location of Error": "Proposition 3", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Regular version of the inverse Galois problem for skew fields"}
26
+ {"arxiv_id": "2504.15000", "version": "v1", "url": "https://arxiv.org/abs/2504.15000", "v1_date": "2025-04-21T10:00:07", "category": "math.AP", "category_name_readable": "Analysis of PDEs", "comments": "We have corrected the statement and argument of Proposition 4.1(b). Comments are welcome", "Location of Error": "Proposition 4.1(b)", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Quasilinear problems with mixed local-nonlocal operator and concave-critical nonlinearities: Multiplicity of positive solutions"}
27
+ {"arxiv_id": "2504.03243", "version": "v1", "url": "https://arxiv.org/abs/2504.03243", "v1_date": "2025-04-04T07:46:53", "category": "math.AG", "category_name_readable": "Algebraic Geometry", "comments": "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", "Location of Error": "Theorem 3.4, Corollary 3.5, Lemma 6.5", "Liscence": "", "title_extracted_from_tex": "Deformations of Compact Calabi--Yau Conifolds"}
28
+ {"arxiv_id": "2504.06686", "version": "v1", "url": "https://arxiv.org/abs/2504.06686", "v1_date": "2025-04-09T08:46:05", "category": "math.PR", "category_name_readable": "Probability", "comments": "We fix a gap in the proofs of Theorem 2.3 and 2.4 by imposing an additional technical assumption, 18 pages", "Location of Error": "Theorem 2.3, Theorem 2.4", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Quantitative Halmos-Savage theorems and robust large financial markets"}
29
+ {"arxiv_id": "2504.08105", "version": "v1", "url": "https://arxiv.org/abs/2504.08105", "v1_date": "2025-04-10T20:02:39", "category": "math.DG", "category_name_readable": "Differential Geometry", "comments": "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", "Location of Error": "Lemma 5.7", "Liscence": "CC 4.0", "title_extracted_from_tex": "Non-existance of minimizers for Fourth order Willmore energy"}
30
+ {"arxiv_id": "2505.20576", "version": "v2", "url": "https://arxiv.org/abs/2505.20576", "v1_date": "2025-05-26T23:23:38", "category": "math.DG", "category_name_readable": "Differential Geometry", "comments": "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", "Location of Error": "Lemma 3.11", "Liscence": "CC 4.0", "title_extracted_from_tex": "Uniqueness of asymptotically cylindrical steady gradient Ricci solitons"}
31
+ {"arxiv_id": "2505.10683", "version": "v2", "url": "https://arxiv.org/abs/2505.10683", "v1_date": "2025-05-15T19:59:22", "category": "math.RT", "category_name_readable": "Representation Theory", "comments": "Clarified the notion of cuts vs. gradings. Removed the incorrect Proposition 2.15 (v2) and adapted affected proofs. 28 pages. Comments welcome!", "Location of Error": "Proposition 2.15", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "$2$-representation infinite algebras from non-abelian subgroups of $\\SL_3$ \\text{Part I: Extensions of abelian groups}"}
32
+ {"arxiv_id": "2505.15159", "version": "v1", "url": "https://arxiv.org/abs/2505.15159", "v1_date": "2025-05-21T06:24:34", "category": "math.AG", "category_name_readable": "Algebraic Geometry", "comments": "22 pages; V2: corrected a mistake in Lemma 4.1 of v1; definitive version, to appear in Forum of Mathematics Sigma", "Location of Error": "Lemma 4.1", "Liscence": "CC 4.0", "title_extracted_from_tex": "Rank jumps and Multisections of elliptic fibrations on K3 surfaces"}
33
+ {"arxiv_id": "2505.08549", "version": "v2", "url": "https://arxiv.org/abs/2505.08549", "v1_date": "2025-05-13T13:21:39", "category": "math.NT", "category_name_readable": "Number Theory", "comments": "10 pages; The statement and proof of Lemma 8 have been revised and corrected, Proof of Theorem 1 is rewritten", "Location of Error": "Lemma 8", "Liscence": "CC 4.0", "title_extracted_from_tex": "A generalization of Dumas irreducibility criterion"}
34
+ {"arxiv_id": "2505.04296", "version": "v1", "url": "https://arxiv.org/abs/2505.04296", "v1_date": "2025-05-07T10:08:03", "category": "math.GR", "category_name_readable": "Group Theory", "comments": "In this version, Theorem 2 and its proof have been corrected", "Location of Error": "Theorem 2", "Liscence": "CC 4.0", "title_extracted_from_tex": "$n$-Valued Groups, Kronecker Sums, and Wendt's $(x, y, z)$-Matrices"}
35
+ {"arxiv_id": "2505.01716", "version": "v1", "url": "https://arxiv.org/abs/2505.01716", "v1_date": "2025-05-03T06:59:21", "category": "math.AG", "category_name_readable": "Algebraic Geometry", "comments": "Lemma 4.2 in v1 is wrong. We modify the proof of Theorem 4.1", "Location of Error": "Lemma 4.2", "Liscence": "arXiv.org - Non-exclusive license to distribute", "title_extracted_from_tex": "Variation of Tannaka groups of perverse sheaves in family"}