Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:50:42.290920Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 6 inbound Pith citation observations for arXiv:2506.07047.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:50:42.290920Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:45:12.458150Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-16T13:27:55.680505Z
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 05bcee8c-2d5f-493f-9b0e-d931338baee8 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Formal mathematical reasoning: A new frontier in AI
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5a16395a-1abc-4ba0-91cc-f2c23d6a2c1d · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages The lean mathematical library
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e8c694c1-6023-4322-bd96-f84cf33fec09 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Springer, 1994
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c954eee-df7f-46c4-b71a-5f02f38f1769 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages The coq proof assistant a tutorial
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b7394868-f82f-49dc-91be-a518ca073da1 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0c7107e-ce95-4adf-98f4-99e4f36314d5 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ab1ef9eb-4206-400f-af07-b3d715460e26 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Goedel-Prover: A Frontier Model for Open-Source Automated Theorem Proving
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c5baec0-9b04-4285-b11e-260c1197cb06 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages MiniF2F: a cross-system benchmark for formal Olympiad-level mathematics
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation de8f74a5-a6cb-4e09-8046-353793a8efe0 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation db110a9d-160a-4049-b9d8-16211cbc2dbd · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages PutnamBench: Evaluating Neural Theorem-Provers on the Putnam Mathematical Competition
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee24dec5-d7f2-4671-81a3-0edf49ef0a2a · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Herald: A Natural Language Annotated Lean 4 Dataset
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 698052c7-3971-43a7-841b-6a52c86b7207 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Numinamath: The largest public dataset in ai4maths with 860k pairs of competition math problems and solutions.Hugging Face repository, 13:9, 2024
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8364161-c690-4e77-84d9-4699d761cb2c · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Multilingual Mathematical Autoformalization
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d280d6af-4783-4aed-b6f2-a2cac83cb4b1 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Atlas: Autoformalizing theorems through lifting, augmentation, and synthesis of data
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d743b85d-b090-4b1d-a8bf-bcfdb6271a56 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages MPS-Prover: Advancing Stepwise Theorem Proving by Multi-Perspective Search and Data Curation
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5bb78a4c-4623-4e56-9777-c241ac654cc3 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Bfs-prover: Scalable best-first tree search for llm-based automatic theorem proving
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4c7f8f53-b7b0-4856-b7c2-aca6d19e0681 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages HunyuanProver: A Scalable Data Synthesis Framework and Guided Tree Search for Automated Theorem Proving
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1a947d8-2868-4d9b-ab75-4f139789a856 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages ProofAug: Efficient Neural Theorem Proving via Fine-grained Proof Structure Analysis
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1eea232b-6c6f-488c-85e6-baaa5b975d15 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Carts: Advancing neural theorem proving with diversified tactic calibration and bias- resistant tree search
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation e07071c2-82e2-49eb-869d-280508153009 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Decomposing the Enigma: Subgoal-based Demonstration Learning for Formal Theorem Proving
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2058df4-a660-4a3f-874a-272d5e29756d · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages LEGO-Prover: Neural Theorem Proving with Growing Libraries
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80630227-d98b-4a07-b4a9-eb531ca127da · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74fc557b-0362-4402-a155-a95122ec2aa9 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages DeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Search
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a2279ac1-3080-4c12-8b4b-a5bdb7660473 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Autoformalization with large language models.Advances in Neural Information Processing Systems, 35:32353–32368, 2022
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6b717b6f-5ae0-4622-ad4b-97c0799155c6 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages The Claude 3 model family: Opus, Sonnet, Haiku
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 51d7b07c-5a26-4e6e-8d18-539e333fee6b · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages DeepSeek-R1: Incentivizing reasoning capability in LLMs via reinforcement learning, 2025
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 73d22d98-e1e0-4404-8c51-7a7c245f5975 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation edd21762-19a3-4c28-8fec-810b2a709701 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages BERTopic: Neural topic modeling with a class-based TF-IDF procedure
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f65112d-f25c-4bbd-944b-af4c9112077c · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Lean Workbook: A large-scale Lean problem set formalized from natural language math problems
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f48e558f-9701-42aa-95fc-ef2359ebc624 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Direct preference optimization: Your language model is secretly a reward model
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4257dc0e-42cf-4522-b6cb-029e6747d77f · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Training language models to follow instructions with human feedback.Advances in neural information processing systems, 35:27730–27744, 2022
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation beacce03-b4a2-4061-b7a1-b2e2731349e0 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Enhancing LLM Reasoning with Iterative DPO: A Comprehensive Empirical Investigation
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82bb1ed3-d7fd-4eff-b99b-7a65b964e075 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Self-Training with Direct Preference Optimization Improves Chain-of-Thought Reasoning
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 669892cd-5c27-4905-9082-47891c6b5d76 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Pre-dpo: Improving data utilization in direct preference optimization using a guiding reference model.arXiv preprint arXiv:2504.15843, 2025
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9bbb2442-b1b8-4242-b5dd-532164fab24a · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Theory of fuzzy integrals and its applications.Doctoral Thesis, Tokyo Institute of Technology, 1974
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a95ca5ec-1c2f-4299-b1d9-50491465851b · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Application of the sugeno integral in fuzzy rule-based classification.Applied Soft Computing, 167:112265, 2024
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b55d7aa3-c848-49bb-a308-9662483ef43d · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d30a6fa5-7c4d-4eed-85df-45911afd7663 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Deepseek-v3 technical report, 2024
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4e79df5-902f-46a6-ac17-5f2d02f20895 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Kimi k1.5: Scaling reinforcement learning with LLMs, 2025
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fcdd6394-64b4-42ce-a7e8-302f1a0482d5 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d2951e4d-c24b-4fed-acb2-ea203bc38039 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Decoupled weight decay regularization
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 01a66eab-e67a-45af-8cce-3751135f225d · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9e27a981-eda9-4dd2-8b07-5fbd184d43be · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Trl: Transformer reinforcement learning.https://github.com/huggingface/trl, 2020-2024
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c4867639-dca6-4b3f-a45e-f39353862d1c · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Experiment tracking with weights and biases
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5870205e-4cfa-45ea-8c8c-7d00addc7d73 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5e9e7f32-0747-45a7-b925-b8419a58e0e2 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 60c01a48-ad17-4e77-934f-438303439c33 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 96155911-8264-4f3a-843f-c07bf0de3390 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 31c7a83c-4872-4a92-b9f7-e169bf4182cd · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages := by sorry
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation feb8319e-46ad-47e5-8cbb-2d1e1d20b166 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Please evaluate whether the formal LEAN statement appropriately translates the natural language statement based on the following criteria
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6a6f59b7-d892-4a77-8b9e-e432e0e87587 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b6aa76f9-db7c-499d-b395-0e6ec633458d · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3097b18b-9896-46ce-a536-1305559377fb · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages Unresolved cited work
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6e75596f-2a8b-4ad3-96ce-b15647f75758 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages opposite angles/sides
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 48163c34-8265-4127-828c-406b71ccc241 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘(hq : 1 < q)’
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f1be11e6-4c77-482a-ac02-3387937dba22 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘(hn : 1 < n)’
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 852e838d-3198-48a6-85de-c799aa95abb2 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘(M : FinsetN:= Finset.range q)’
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 97aa0e7f-e48f-43c2-bf42-08c4c026d184 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘A : Set N := {x | ∃ (x_vec : N→N ), (∀ i, x_vec i ∈ M) ∧ x = P i in Finset.range n, x_vec(i + 1) * q ^i}’
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c2349b89-820c-4289-8b88-30065eeacbe6 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘s = P i in Finset.range n, a (i + 1) * q ^i’, ‘t = P i in Finset.range n, b (i + 1) * q ^i’, with ‘∀i, a i∈M’ and ‘∀i, b i∈M’
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2f6b8197-587a-4a4e-96ac-d1ff36928e30 · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘(hab : a n < b n)’
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 78ef4e67-4e8a-4d04-b29e-e34c43438ecc · outbound
Mathesis: Towards Formal Theorem Proving from Natural Languages - Lean: ‘s <= t’
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1c535df0-d201-4c60-8e09-330d4e4d6be9 · inbound
Advocate for Complete Benchmarks for Formal Reasoning with Formal/Informal Statements and Formal/Informal Proofs Mathesis: Towards Formal Theorem Proving from Natural Languages
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b143c005-bc89-4b4c-a68e-b00d7d9f52d8 · inbound
Integrating Rules and Semantics for LLM-Based C-to-Rust Translation Mathesis: Towards Formal Theorem Proving from Natural Languages
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dca4f4c4-e827-4a4d-b1af-461262ca4ad8 · inbound
Aria: An Agent For Retrieval and Iterative Auto-Formalization via Dependency Graph Mathesis: Towards Formal Theorem Proving from Natural Languages
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee04abcf-1a3b-4ed7-9570-81bed414fc51 · inbound
HERMES: Towards Efficient and Verifiable Mathematical Reasoning in LLMs Mathesis: Towards Formal Theorem Proving from Natural Languages
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d534cd9d-8bdd-487a-a27d-cb33bb9cca8c · inbound
AI for Mathematics: Progress, Challenges, and Prospects Mathesis: Towards Formal Theorem Proving from Natural Languages
Reference 161
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 58baadfb-7911-40cc-b832-8eef48029dab · inbound
FormalRx: Rectify and eXamine Semantic Failures in Autoformalization Mathesis: Towards Formal Theorem Proving from Natural Languages
Reference 142
Source-reported events for the cited work
Unavailable: canonical work link unavailable.