mlsanityData to 7 Oct 2026

Mathematical reasoning

759 papers2 this weekHigh confidence in this grouping: the papers form one clear topicHigh confidence in this grouping: the papers form one clear topic · About

Keywords: mathematical, mathematical reasoning, math, reasoning, language

Key facts. Mathematical reasoning: 759 papers on arXiv since 2020 (data through 7 Oct 2026). 142 of its 759 mapped papers (19%) cite “DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models” (2024, arXiv 2402.03300). 116 of its 759 mapped papers (15%) cite “Solving Quantitative Reasoning Problems with Language Models” (2022, arXiv 2206.14858). 17 new papers 17 Sep–7 Oct.

What’s new

17 Sep – 7 Oct 2026

17 new papers, 17 Sep – 7 Oct; 2 this week.

  1. This week · 2
  2. Which Language Should a Skeleton Speak? Language Choices in Multilingual Reasoning also fits: Reasoning benchmarks and evaluation
  3. Algorithmic Scratchpads and Curriculum Staging for Arithmetic Reasoning in Tiny Transformers
  4. Earlier · 15
  5. When Does Longer Reasoning Help? Predicting Mathematical Reasoning Through Discovery and Execution also fits: Test-time compute and efficient thinking
  6. Dense Neuro-Symbolic Reasoning in a Unified Geometry State also fits: Spatial and embodied reasoning
  7. The Missing Primitive: Diagnosing and Repairing Mathematical Reasoning in Large Language Models
  8. Reason in Style: Discovering and Controlling Style in Language Models also fits: Reasoning benchmarks and evaluation
  9. ANI: Adaptive Numerical Injection for Unifying Semantic and Arithmetic Representations in Numerical Reasoning
  10. Mathematical Transfer in LLMs Follows Reasoning Approach More Than Topic
  11. Correct Answers, Invalid Traces: What Verifiable Grade-School Math Reveals About Chain-of-Thought Traces also fits: Prompting and chain-of-thought reasoning
  12. Beyond Compression: Diagnosing How Post-Training Changes Mathematical Reasoning also fits: Test-time compute and efficient thinking
All 17
  1. Towards Eliminating Catastrophic Forgetting in the Curriculum Learning of Math Reasoning Tasks
  2. The Geometry of Logic: Stratification Induces Semantic Structure and Robust Reasoning also fits: Reasoning benchmarks and evaluation
  3. Diagnosing Sampled LLM Reasoning in Formal Geometry: Coverage, Realization, and Validity Evidence
  4. Solving Every Step Is Not Enough: Milestone Oracles Reveal a Composition Gap in LLM Math Reasoning
  5. Order-Invariant Answers, Order-Sensitive Representations in Mathematical Reasoning
  6. Math Reasoning in LLMs is Organized by Approach, Not Topic
  7. Euston: Training Away Mathematical Sycophancy Without Losing the Mathematics

Foundations

Most cited by papers here

  1. DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models2024cited by 142 here
  2. Solving Quantitative Reasoning Problems with Language Models2022cited by 116 here
  3. WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct2023cited by 99 here
  4. ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving2023cited by 68 here
  5. Llemma: An Open Language Model For Mathematics2023cited by 68 here

Lineage

The papers this direction builds on, oldest first.

Each paper on the line cites the one before.

  1. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 281 here
  2. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 172 here
  3. 2022STaR: Bootstrapping Reasoning With Reasoningcited by 52 here
  4. 2022Large Language Models are Zero-Shot Reasonerscited by 110 here
  5. 2022PAL: Program-aided Language Modelscited by 80 here
  6. 2023Self-Refine: Iterative Refinement with Self-Feedbackcited by 49 here
  7. 2023Tree of Thoughts: Deliberate Problem Solving with Large Language Modelscited by 87 here
  8. 2023Scaling Relationship on Learning Mathematical Reasoning with Large Language Modelscited by 51 here
  9. 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instructcited by 99 here
  10. 2023ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solvingcited by 68 here
  11. 2023Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotationscited by 60 here
  12. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 142 here
  13. 2025DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learningcited by 125 here
11 more it builds on, not in this chain
  1. 2017Proximal Policy Optimization Algorithmscited by 49 here
  2. 2022Least-to-Most Prompting Enables Complex Reasoning in Large Language Modelscited by 55 here
  3. 2022Solving Quantitative Reasoning Problems with Language Modelscited by 116 here
  4. 2022Program of Thoughts Prompting: Disentangling Computation from Reasoning for Numerical Reasoning Taskscited by 106 here
  5. 2023LLaMA: Open and Efficient Foundation Language Modelscited by 61 here
  6. 2023Direct Preference Optimization: Your Language Model is Secretly a Reward Modelcited by 69 here
  7. 2023Let's Verify Step by Stepcited by 137 here
  8. 2023Llemma: An Open Language Model For Mathematicscited by 68 here
  9. 2024Large Language Models for Mathematical Reasoning: Progresses and Challengescited by 47 here
  10. 2024GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Modelscited by 58 here
  11. 2025Qwen3 Technical Reportcited by 62 here

The 24 most cited of 1,441.

Browse

30 of 759, ranked 6–35

  1. 6GSM-Symbolic: Understanding the Limitations of Mathematical Reasoning in Large Language Models202458
  2. 7Scaling Relationship on Learning Mathematical Reasoning with Large Language Models202351
  3. 8Large Language Models for Mathematical Reasoning: Progresses and Challenges202447
  4. 9MathScale: Scaling Instruction Tuning for Mathematical Reasoning202442
  5. 10Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models202442
  6. 11Generative Language Modeling for Automated Theorem Proving202040
  7. 12MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning202337
  8. 13OpenMathInstruct-1: A 1.8 Million Math Instruction Tuning Dataset202435
  9. 14DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition202533
  10. 15MathGenie: Generating Synthetic Data with Question Back-translation for Enhancing Mathematical Reasoning of LLMs202431
All 30
  1. 16GSM-Plus: A Comprehensive Benchmark for Evaluating the Robustness of LLMs as Mathematical Problem Solvers202431
  2. 17FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI202430
  3. 18InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning202429
  4. 19MathPrompter: Mathematical Reasoning using Large Language Models202329
  5. 20A Survey of Deep Learning for Mathematical Reasoning202229
  6. 21Common 7B Language Models Already Possess Strong Math Capabilities202427
  7. 22A Careful Examination of Large Language Model Performance on Grade School Arithmetic202427
  8. 23rStar-Math: Small LLMs Can Master Math Reasoning with Self-Evolved Deep Thinking202524
  9. 24Orca-Math: Unlocking the potential of SLMs in Grade School Math202424
  10. 25Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning202523
  11. 26Dynamic Prompt Learning via Policy Gradient for Semi-structured Mathematical Reasoning202223
  12. 27Solving Math Word Problems via Cooperative Reasoning induced Language Models202223
  13. 28Lila: A Unified Benchmark for Mathematical Reasoning202223
  14. 29LIMO: Less is More for Reasoning202522
  15. 30Don't Trust: Verify -- Grounding LLM Quantitative Reasoning with Autoformalization202421
  16. 31Solving Challenging Math Word Problems Using GPT-4 Code Interpreter with Code-based Self-Verification202321
  17. 32NumGLUE: A Suite of Fundamental yet Challenging Mathematical Reasoning Tasks202221
  18. 33Language Models are Multilingual Chain-of-Thought Reasoners202221
  19. 34MARIO: MAth Reasoning with code Interpreter Output -- A Reproducible Pipeline202419
  20. 35Step-DPO: Step-wise Preference Optimization for Long-chain Reasoning of LLMs202419