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Paper Citation Record · LEDGER

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification

As of 21 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 2 inbound Pith citation observations for arXiv:2506.04592.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.04592 v1

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:59.510685Z

measured 71 of 71 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:17:28.616993Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T15:20:18.946831Z

Reference resolution

69 of 69 outbound references displayed

  • verified exact4
  • verified fuzzy0
  • unresolved65
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a8b4406-5832-45e1-8897-10e849757da2 · outbound

This paper cites Large Language Models for Mathematical Reasoning: Progresses and Challenges.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Large Language Models for Mathematical Reasoning: Progresses and Challenges

Reference 1

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no resolver link, observed 2026-08-07T10:44:59.314638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 4ff635bf-b878-4082-823d-39da13267101 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-07T10:44:59.967125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c26706cc-b685-4334-8756-2889c066eeac · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 497770ac-70fd-4c6f-b22b-c258db0c496f · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 4

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no resolver link, observed 2026-08-07T10:44:59.325494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.325494Z digest=sha256:b947268121ae5712dc828c3a13e64190e4101c66cb426a02a13f0007e515de7c

Observation b3665208-52fa-4820-92d2-8b40814d69eb · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Training Verifiers to Solve Math Word Problems

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 7bc8e8dd-c668-4b57-87ca-4c9f2983465a · outbound

This paper cites The Llama 3 Herd of Models.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification The Llama 3 Herd of Models

Reference 6

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no resolver link, observed 2026-08-07T10:44:59.332576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.332576Z digest=sha256:a190139c695224294fbbfbb3abc1a66766416cb193fd6c5a658e6f44eba943fd

Observation f38c60a5-3741-49ad-a78c-0c371af6bbcd · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 7

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raw_fallback, observed 2026-08-07T10:44:59.947476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4df0577f-4001-468a-b95d-8cb8457a93d4 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 8

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raw_fallback, observed 2026-08-07T10:44:59.939689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ed325208-c5ff-458d-96c5-1494a38d43a2 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 9

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no resolver link, observed 2026-08-07T10:44:59.341710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.341710Z digest=sha256:fb30f0abfe7135f43aebc6701e3debbc3bf6462dcf97ab1ef66f5058cf72a893

Observation 87723558-d3f0-4d3a-aa07-54c58eae4073 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 10

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raw_fallback, observed 2026-08-07T10:44:59.928164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 39ff0bcf-742b-43bb-91b2-f4294e0a6195 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.347562Z digest=sha256:7a385a1dc5da7192e32e3f694a17c4e5f397583a91ddbb993ad06486f1ff58a2

Observation ca38ed18-8ed7-46b5-ac4c-99993534495d · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 12

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raw_fallback, observed 2026-08-07T10:44:59.915939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 80b99761-2363-40cc-8748-1e7f8a120661 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 13

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no resolver link, observed 2026-08-07T10:44:59.353232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.353232Z digest=sha256:61f5bb91d71f9e9399aed40063b5ecc7442f983b1b91014f5207775210e033eb

Observation ed0ae6dc-8e83-49e2-9431-de8b1e60725f · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation f4700c45-62f0-4c33-a081-5873e1b4ab45 · outbound

This paper cites GPT-4o System Card.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification GPT-4o System Card

Reference 15

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no resolver link, observed 2026-08-07T10:44:59.358492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.358492Z digest=sha256:5e80ae7dcebda2dcaedcd5fa88cb9224114478d827e640fdf61edef993d65866

Observation 81485b53-4e8b-4c58-9bd6-58a5cc4fa8a2 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 59386955-86c9-4bc4-bbc1-45b74d453371 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 17

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raw_fallback, observed 2026-08-07T10:44:59.890093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.363852Z digest=sha256:7589af804119a51d951cb50f92847540508ecb5dc1e3e2a9d3c1c1b5c7fd8588

Observation 4a9d1346-d436-4a62-86b2-424fcf092b1f · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 18

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Unavailable: canonical work link unavailable.

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Observation 2cb400b4-8036-43ca-a2ea-2611bf5d6388 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 19

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raw_fallback, observed 2026-08-07T10:44:59.877589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5717639a-b226-448f-af52-38c1bcc5855b · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 20

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.372876Z digest=sha256:074b3149ca932ad48e045aa44e92d67c503051794967c7199598ad30aeb89ac5

Observation 0435f491-9514-4b92-bdcd-52633e0415b5 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 96f48841-4829-40d3-bdba-7726951f6802 · outbound

This paper cites RewardBench: Evaluating Reward Models for Language Modeling.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification RewardBench: Evaluating Reward Models for Language Modeling

Reference 22

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 3ea1986f-e7d7-4531-b341-cbf7ca3fdef4 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 23

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raw_fallback, observed 2026-08-07T10:44:59.858080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 38b8e995-9922-44d7-9064-ba4401ed6059 · outbound

This paper cites EvoCodeBench: An Evolving Code Generation Benchmark Aligned with Real-World Code Repositories.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification EvoCodeBench: An Evolving Code Generation Benchmark Aligned with Real-World Code Repositories

Reference 24

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation fb43529e-c24f-49f8-8dd5-9f0a1e47bab7 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 25

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.387846Z digest=sha256:17568ddefcdc010fcf754e88788f2290a0b05dd551c091dc8cddae14d16aefcb

Observation 026ff056-7a23-492a-836d-a5406c650fee · outbound

This paper cites FIMO: A Challenge Formal Dataset for Automated Theorem Proving.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification FIMO: A Challenge Formal Dataset for Automated Theorem Proving

Reference 26

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no resolver link, observed 2026-08-07T10:44:59.390584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 6193df7e-5dc7-4567-90a4-ff73a47eb869 · outbound

This paper cites Skywork-Reward: Bag of Tricks for Reward Modeling in LLMs.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Skywork-Reward: Bag of Tricks for Reward Modeling in LLMs

Reference 27

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no resolver link, observed 2026-08-07T10:44:59.393457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 168df49c-4963-4de0-9ca2-46f2bacc2e9d · outbound

This paper cites Process-Driven Autoformalization in Lean 4.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Process-Driven Autoformalization in Lean 4

Reference 28

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no resolver link, observed 2026-08-07T10:44:59.396198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 961f0443-416f-4425-92d8-b51cf3dd2027 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 29

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.399512Z digest=sha256:37e0a8c99a18cbc1f222a7971b6566a27c2a06926882b07bca1dd206e98a4e70

Observation df9bded4-17a9-478c-969b-f7b2d77c37bb · outbound

This paper cites The Lean mathematical library.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification The Lean mathematical library

Reference 30

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no resolver link, observed 2026-08-07T10:44:59.402345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.402345Z digest=sha256:afc9ecd7dda4339dfdfbdd806f14f6f53fa7152493f05d2ae6bc0833f6cd31ea

Observation 0101a69b-0713-480e-b43d-0ae6dd539cf6 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 31

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no resolver link, observed 2026-08-07T10:44:59.405311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.405311Z digest=sha256:0d94a650f491314d0b30ed5eaaeda161708649369dcbd9f716712d3eadb9a179

Observation a5511e95-4098-49ec-90d0-271f5e5c273b · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 32

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raw_fallback, observed 2026-08-07T10:44:59.842585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ddb8de31-193a-4def-9166-1e14bbfd540c · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 33

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raw_fallback, observed 2026-08-07T10:44:59.835296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 938a2745-6525-4ab7-be01-3f64e617620f · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-07T10:44:59.827195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.413763Z digest=sha256:a292a363bd0e29b9b1fc88d74ff8ed19315ab3acc71fe4a612b35ab43e5b8ed7

Observation 813c056d-6353-49bf-8115-256699197efa · outbound

This paper cites Generative Language Modeling for Automated Theorem Proving.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Generative Language Modeling for Automated Theorem Proving

Reference 35

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no resolver link, observed 2026-08-07T10:44:59.417804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.417804Z digest=sha256:753402929acdf3f91cbc915de9fd0db931315ba7ae5e1b952a91b6ea5d3a92ad

Observation f6e26455-bf57-4a9c-baf8-9fe4999d157d · outbound

This paper cites GPQA: A Graduate-Level Google-Proof Q&A Benchmark.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification GPQA: A Graduate-Level Google-Proof Q&A Benchmark

Reference 36

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no resolver link, observed 2026-08-07T10:44:59.420494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.420494Z digest=sha256:09193ad11e7cf3a8028bf8a085867e13c237b76b3b0e2a1276db57ffd676c3cc

Observation 4e3de15b-d59b-4b99-83ba-ca9bc7ad5a00 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 37

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raw_fallback, observed 2026-08-07T10:44:59.820122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation fbb76c3b-acac-4d4a-b03c-18e5a547bc59 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 38

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raw_fallback, observed 2026-08-07T10:44:59.812590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.425505Z digest=sha256:40d7a6fb4686f4da1f96d94f0ccb6e6a6613dbe968913de64e9bd932e3d1a5e1

Observation 215def12-0c2f-4eae-a8b0-ec0e9144abf2 · outbound

This paper cites DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 39

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no resolver link, observed 2026-08-07T10:44:59.428476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.428476Z digest=sha256:72ee2bf2e2c4586cab65650adf05b694141c0cf95c9452b012b7cfbfa82ae7ba

Observation ce194bc3-da9b-4379-8ce0-ed78990b6f72 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 40

Resolution
verified exact
doi, observed 2026-08-07T10:44:59.547381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.431213Z digest=sha256:c011a2ea6747d474ebb3d2a6421500a96abe3ff68f97a9e52121e03d167e33eb

Observation 08a113e9-518e-444d-8ae3-9e1817b1ae8b · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 41

Resolution
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raw_fallback, observed 2026-08-07T10:44:59.805639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.433959Z digest=sha256:46c27a517e12fcb0b578f8b704918c9baaaa23538b95e25ef44aeb6288ea0ca3

Observation c40e29e1-26e5-47b1-8ab9-34158c2c48ef · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 42

Resolution
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raw_fallback, observed 2026-08-07T10:44:59.798289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.436651Z digest=sha256:176f3d6b1c556f07c0afa60d1540fa4679f09121d5905b3b9e857df21cab4dfb

Observation ee564e06-07ce-43a8-a95c-c3870aad75cb · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 43

Resolution
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raw_fallback, observed 2026-08-07T10:44:59.790571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.440156Z digest=sha256:edea89d9e932f35abca43e63a42374904821939acb2feee38bf727850aefa6ff

Observation 1065ed31-53de-4fb0-8668-4b06dc655174 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 44

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no resolver link, observed 2026-08-07T10:44:59.442685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.442685Z digest=sha256:17d0bb34cf31eecad0db73397067f5bb11c22aea7e202bf8c5b93d7368c8fdc3

Observation a87bf1d8-4e0b-48c5-8295-fcd5a172eec4 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 45

Resolution
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raw_fallback, observed 2026-08-07T10:44:59.782908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.445486Z digest=sha256:7d3f80229bd727d3df9c4870a76a98046d376194bb1c8ad3b1127633fba8f40d

Observation 87674b87-b5dd-42ef-b8dc-140112621262 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 46

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no resolver link, observed 2026-08-07T10:44:59.448037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.448037Z digest=sha256:f90d39d8d9909f28add8bb6e4ec50bef8b37a713f6edab52970e21dc8890e89b

Observation bf21d658-604d-4752-af9e-01bf920e9d7d · outbound

This paper cites SciBench: Evaluating College-Level Scientific Problem-Solving Abilities of Large Language Models.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification SciBench: Evaluating College-Level Scientific Problem-Solving Abilities of Large Language Models

Reference 47

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no resolver link, observed 2026-08-07T10:44:59.450839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.450839Z digest=sha256:c134339857b9d8a44209336daa576d091021363378f46e5a891f1c6f8199a734

Observation f64dfd52-1a97-4a55-a69d-89c30c73eec2 · outbound

This paper cites Chi, Quoc V Le, and Denny Zhou.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Chi, Quoc V Le, and Denny Zhou

Reference 48

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no resolver link, observed 2026-08-07T10:44:59.453738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.453738Z digest=sha256:a4fc88e71915805d645587b78f0187383df0573272f6201aea8a60fc2f932bf9

Observation c6d941dd-0837-4bcb-8a3d-a9f192f22956 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 49

Resolution
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raw_fallback, observed 2026-08-07T10:44:59.771006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.456378Z digest=sha256:b2fdd5cffd943b0cf991569c7cda34a26f5b5cb8a415b2f2e08a347eb30f4db0

Observation 684c83d8-729a-41f3-89c1-e44ebaebea77 · outbound

This paper cites DeepSeek-Prover: Advancing Theorem Proving in LLMs through Large-Scale Synthetic Data.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification DeepSeek-Prover: Advancing Theorem Proving in LLMs through Large-Scale Synthetic Data

Reference 50

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no resolver link, observed 2026-08-07T10:44:59.459139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.459139Z digest=sha256:eaeabbb7c6cc017dfb7573d35b12f529dc308ec7d238bf7eb4bc104fad96a6c1

Observation caa98479-512a-418f-8c4e-74924e71f9cf · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 51

Resolution
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raw_fallback, observed 2026-08-07T10:44:59.764145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.463401Z digest=sha256:8e9d625194591f9d5ca2dac678f1dfb8b9dba08adee5fcff8cc263c3db6ae155

Observation c3280eb4-68f2-4eed-a229-0980d1d7d322 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:59.757003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.466077Z digest=sha256:78fc7442a8c982d4e457a39fd1d10a3ff9d9983bdeb3fb8a05082deb354667c4

Observation 3c5875da-165a-47b0-b879-fd5c1cd983ad · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 53

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no resolver link, observed 2026-08-07T10:44:59.468639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.468639Z digest=sha256:78917b70223de347598fada7e18501db260455ecd2954f330c2079e59987652f

Observation 71f9c518-aba2-4af0-9c69-70e41899d8f0 · outbound

This paper cites Can We Verify Step by Step for Incorrect Answer Detection?.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Can We Verify Step by Step for Incorrect Answer Detection?

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:44:59.620047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.471059Z digest=sha256:3d5e1db275fc3b0cbeb05b9ea3ee631fec76afb93961b2eb19e7ced9751a051c

Observation 1ee74c80-f7ec-4123-a69f-08d92a139756 · outbound

This paper cites Can LLMs Solve longer Math Word Problems Better?.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Can LLMs Solve longer Math Word Problems Better?

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:44:59.609963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.473658Z digest=sha256:7c2e405522a9c6504d9192848bee222fe17eb12ab1ce68d7e91fe649ad42db7b

Observation 2d14513f-748d-4736-b5d6-42ef87186ab8 · outbound

This paper cites UGMathBench: A Diverse and Dynamic Benchmark for Undergraduate-Level Mathematical Reasoning with Large Language Models.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification UGMathBench: A Diverse and Dynamic Benchmark for Undergraduate-Level Mathematical Reasoning with Large Language Models

Reference 56

Resolution
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no resolver link, observed 2026-08-07T10:44:59.476120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.476120Z digest=sha256:b8decf933e618ef3905af2184dee56d6c042664f0bd2643197cb91e74af7e089

Observation a0f3c176-fe1f-4350-a9e6-7ca808dd995d · outbound

This paper cites S^3cMath: Spontaneous Step-level Self-correction Makes Large Language Models Better Mathematical Reasoners.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification S^3cMath: Spontaneous Step-level Self-correction Makes Large Language Models Better Mathematical Reasoners

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:44:59.593313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.478740Z digest=sha256:815733ce989c193f8ed0a2d468f4591b55ff83ba53986aa51e1d3a1cf8640204

Observation 47bce112-3f26-45ee-9d5b-9e50b4c4754d · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:59.745624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.481389Z digest=sha256:9aec8a196ab979695297a88aec343b1b96a152e7a11768ba7b42c13e92b43900

Observation 868daa88-127e-4bf0-bd83-83800ec58daa · outbound

This paper cites Formal Mathematical Reasoning: A New Frontier in AI.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Formal Mathematical Reasoning: A New Frontier in AI

Reference 59

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no resolver link, observed 2026-08-07T10:44:59.483870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.483870Z digest=sha256:23496378053ee39d5b597c786ead4f7ed3e7ba1cce60987ce198af10292c0870

Observation 0fcec193-ce17-428e-8d42-99ac63171109 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:59.738544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.486479Z digest=sha256:03148eb264813c95ae2f22b9502a0945698ff5b7d60d3d9da7e1b6a7d583bdb0

Observation b5b0d599-69e5-47f2-9495-7836b841ec13 · outbound

This paper cites Lean Workbook: A large-scale Lean problem set formalized from natural language math problems.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Lean Workbook: A large-scale Lean problem set formalized from natural language math problems

Reference 61

Resolution
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no resolver link, observed 2026-08-07T10:44:59.489003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.489003Z digest=sha256:b6747f7b6724df1f4b5127c7fd028e1a628354403d41be878a1bb133078b26fd

Observation 7320371f-1ce9-4e52-bbd3-073523d26039 · outbound

This paper cites InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-07T10:44:59.491464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.491464Z digest=sha256:1755f33cb1aa59e4730721a4a5ab386ba16bc50a4fc62547191377f511d8fea0

Observation a07f3824-ea3e-4f7b-abbc-eab215c1c427 · outbound

This paper cites MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models

Reference 63

Resolution
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no resolver link, observed 2026-08-07T10:44:59.494004Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.494004Z digest=sha256:210c18766f9a0bdea1df823119804d020b1b87f72394eea7f5b2f7f18f5031d5

Observation 2867b088-41da-4f0e-a4a4-4dc062b4c585 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 64

Resolution
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no resolver link, observed 2026-08-07T10:44:59.496588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.496588Z digest=sha256:78f53c760cbfc1bd86a1deb23a783bd7079dc192beac7481187f12fe2e33c7f2

Observation 1fd2d262-7974-486b-9173-4e194f3bee24 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:59.727780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.499292Z digest=sha256:4d4ae5f621a9c62f8b985f511b2782c2148f9725951e6e9ce2781ee2b2c37b3e

Observation ddfadd51-50ab-474c-8081-eb27fbe4a990 · outbound

This paper cites an unresolved cited work.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:44:59.720850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-07T10:44:59.501836Z digest=sha256:b1d110c79ef2da2294298f4323715cf557eed28496b34c259ef3a698abf77214

Observation cafb388e-d148-480e-88de-e0e563730abd · outbound

This paper cites BigCodeBench: Benchmarking Code Generation with Diverse Function Calls and Complex Instructions.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification BigCodeBench: Benchmarking Code Generation with Diverse Function Calls and Complex Instructions

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-07T10:44:59.504652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.504652Z digest=sha256:2ea19ced6925dca48a17c9d7a649f2ea7ccae40888ebf6e21ad4e068cee7770e

Observation 337bf8a3-ef04-45c3-b269-90747aa3e08c · outbound

This paper cites online" 'onlinestring :=.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification online" 'onlinestring :=

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-07T10:44:59.507565Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.507565Z digest=sha256:08f8ffeeae44738751dd2bafaf7c2fc9f8a1fc88e94e3629d4d0d266007ed3c0

Observation 6279587b-880c-4ec6-aa59-5de5c9663cad · outbound

This paper cites write newline.

Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification write newline

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-07T10:44:59.510685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:44:59.510685Z digest=sha256:ae02f5fa7591af55fc218997389c8c56bdd47c993bc6a123de8d8ead09b992ba

Pith citing papers

Observation 2b38c5b5-ca51-4071-9234-64a65a46db49 · inbound

LeanConjecturer: Automatic Generation of Mathematical Conjectures for Theorem Proving cites this paper.

LeanConjecturer: Automatic Generation of Mathematical Conjectures for Theorem Proving Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T22:17:28.616993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:17:28.616993Z digest=sha256:f4db7673add69b4e7c2542d91b54d2ef5eaf06441bdc1a76b205f91d64054c47

Observation 44aa9e5a-8ce3-4ece-b7bd-f98cf55671ea · inbound

Re:Form -- Reducing Human Annotations in Scalable Formal Software Verification with RL in LLMs: A Preliminary Study on Dafny cites this paper.

Re:Form -- Reducing Human Annotations in Scalable Formal Software Verification with RL in LLMs: A Preliminary Study on Dafny Safe: Enhancing Mathematical Reasoning in Large Language Models via Retrospective Step-aware Formal Verification

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:20:18.953748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-06T15:20:14.514001Z digest=sha256:3890c7e8598e4600635703fdc1a80007563f5479aa26367507d958f2362d9eb4