Paper Citation Record · LEDGER

Formally Solving Answer-Construction Problems in Lean

As of 19 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 1 inbound Pith citation observation for arXiv:2505.18492.

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

pith.paper-citation-record.v1
2505.18492 v6

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:34:10.329562Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:40:30.248895Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

59 of 59 outbound references displayed

verified exact0
verified fuzzy19
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 76ae6f63-2ac4-4d7d-9761-248f30ebaa59 · outbound

This paper cites @esa (Ref.

Formally Solving Answer-Construction Problems in Lean @esa (Ref

Reference 1

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Observation 7eb46593-ca5b-40c5-b3b4-8564be92e76e · outbound

This paper cites an unresolved cited work.

Formally Solving Answer-Construction Problems in Lean Unresolved cited work

Reference 2

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Observation 9ab3c35f-9064-4d55-95c4-57711a401ae4 · outbound

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Formally Solving Answer-Construction Problems in Lean Unresolved cited work

Reference 3

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Observation 1ea74b76-42dd-4918-9ac1-b532bdfd0061 · outbound

This paper cites Mathqa: Towards interpretable math word problem solving with operation-based formalisms.

Formally Solving Answer-Construction Problems in Lean Mathqa: Towards interpretable math word problem solving with operation-based formalisms

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.951628Z

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Observation f61334ad-1f89-43a8-9dd2-8a3e5480f573 · outbound

This paper cites ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics.

Formally Solving Answer-Construction Problems in Lean ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics

Reference 5

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Observation ee2e0437-defd-4242-9d5f-936a091e0a76 · outbound

This paper cites Mathconstruct: Challenging llm reasoning with constructive proofs.

Formally Solving Answer-Construction Problems in Lean Mathconstruct: Challenging llm reasoning with constructive proofs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:05.983202Z

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Observation 0d1b100f-a1c9-4452-b544-9c680e9419f0 · outbound

This paper cites Matharena: Evaluating llms on uncontaminated math competitions, February 2025.

Formally Solving Answer-Construction Problems in Lean Matharena: Evaluating llms on uncontaminated math competitions, February 2025

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:06.093585Z

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Observation f0cc2517-a153-47d9-a7d6-85867249565b · outbound

This paper cites CVC5: A Versatile and Industrial-Strength SMT Solver.

Formally Solving Answer-Construction Problems in Lean CVC5: A Versatile and Industrial-Strength SMT Solver

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.933797Z

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Observation 4656e44d-ca49-4d27-b8ba-eccd0ec8d59b · outbound

This paper cites Sledgehammer: Judgement Day.

Formally Solving Answer-Construction Problems in Lean Sledgehammer: Judgement Day

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.921505Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation df4cdbc7-90bd-4b69-bcfe-150180358098 · outbound

This paper cites Seed-Prover: Deep and Broad Reasoning for Automated Theorem Proving.

Formally Solving Answer-Construction Problems in Lean Seed-Prover: Deep and Broad Reasoning for Automated Theorem Proving

Reference 10

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Observation ecd3f890-a318-4c7c-be8d-42c68c62b456 · outbound

This paper cites Gold-medalist performance in solving olympiad geometry with alphageometry2.

Formally Solving Answer-Construction Problems in Lean Gold-medalist performance in solving olympiad geometry with alphageometry2

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:06.502667Z

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Observation 874e3a7b-ecea-4faf-91fa-4ffab3560ca4 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Formally Solving Answer-Construction Problems in Lean Training Verifiers to Solve Math Word Problems

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:06.596500Z

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Observation a65998ea-e33c-4e2b-a24b-2316231ea841 · outbound

This paper cites Z3: An efficient SMT solver.

Formally Solving Answer-Construction Problems in Lean Z3: An efficient SMT solver

Reference 13

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Observation 3a28bd60-e42a-4b47-874d-1726a0c0026a · outbound

This paper cites APPL: A Prompt Programming Language for Harmonious Integration of Programs and Large Language Model Prompts.

Formally Solving Answer-Construction Problems in Lean APPL: A Prompt Programming Language for Harmonious Integration of Programs and Large Language Model Prompts

Reference 14

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Observation 79a8a448-fc04-4fd4-b256-3490c4c129af · outbound

This paper cites The Faiss library.

Formally Solving Answer-Construction Problems in Lean The Faiss library

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:06.927052Z

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Observation 56a906de-e837-415a-ad22-feda4c2a15be · outbound

This paper cites MathOdyssey: Benchmarking Mathematical Problem-Solving Skills in Large Language Models Using Odyssey Math Data.

Formally Solving Answer-Construction Problems in Lean MathOdyssey: Benchmarking Mathematical Problem-Solving Skills in Large Language Models Using Odyssey Math Data

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.087152Z

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Observation a2411ebe-032e-4ee9-8014-f65d51c23c93 · outbound

This paper cites ReTool: Reinforcement Learning for Strategic Tool Use in LLMs.

Formally Solving Answer-Construction Problems in Lean ReTool: Reinforcement Learning for Strategic Tool Use in LLMs

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.172722Z

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Observation 2c3b15ba-1857-43f8-b4b8-5ab6c984caad · outbound

This paper cites Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models.

Formally Solving Answer-Construction Problems in Lean Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.262018Z

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Observation 3e4ac9c9-35dd-4c71-bc8e-8ef0fdf1dc66 · outbound

This paper cites Herald: A Natural Language Annotated Lean 4 Dataset.

Formally Solving Answer-Construction Problems in Lean Herald: A Natural Language Annotated Lean 4 Dataset

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.409974Z

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Observation a73f1569-1329-4dbe-8845-f17490bd0f63 · outbound

This paper cites Pal: Program-aided language models.

Formally Solving Answer-Construction Problems in Lean Pal: Program-aided language models

Reference 20

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Observation 71d11e56-ec18-4c24-a717-6da21664199e · outbound

This paper cites ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving.

Formally Solving Answer-Construction Problems in Lean ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Reference 21

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Observation 0840c0d1-ed5b-4301-9833-406c4d4f0b38 · outbound

This paper cites OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems.

Formally Solving Answer-Construction Problems in Lean OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.682341Z

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Observation 721bf0bd-9136-4919-8a6d-7db4a983847f · outbound

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Formally Solving Answer-Construction Problems in Lean Measuring Mathematical Problem Solving With the MATH Dataset

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.771025Z

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Observation 5ae74ad7-dbb5-4390-99f9-33816f7f10d1 · outbound

This paper cites A survey on hallucination in large language models: Principles, taxonomy, challenges, and open questions.

Formally Solving Answer-Construction Problems in Lean A survey on hallucination in large language models: Principles, taxonomy, challenges, and open questions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.839909Z

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Observation ceca16ac-687e-49bd-838f-3dd5121b821a · outbound

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Formally Solving Answer-Construction Problems in Lean Gemini 2.5 pro capable of winning gold at imo 2025

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:07.890473Z

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Observation 7768ff1e-93dd-43d8-88c0-4173e34eef93 · outbound

This paper cites First-Order Theorem Proving and Vampire.

Formally Solving Answer-Construction Problems in Lean First-Order Theorem Proving and Vampire

Reference 26

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a963040c-66f1-46ef-be50-ce677f519157 · outbound

This paper cites Proving olympiad inequalities by synergizing llms and symbolic reasoning.

Formally Solving Answer-Construction Problems in Lean Proving olympiad inequalities by synergizing llms and symbolic reasoning

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.862786Z

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Observation bd89f12f-ed72-490e-b1a4-055e3827d3b3 · outbound

This paper cites A Survey on Deep Learning for Theorem Proving.

Formally Solving Answer-Construction Problems in Lean A Survey on Deep Learning for Theorem Proving

Reference 28

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Formally Solving Answer-Construction Problems in Lean Pyeuclid: A versatile formal plane geometry system in python

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.850121Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c1df4640-eb17-4335-b680-3e380d4f238e · outbound

This paper cites Aesop: White-box best-first proof search for lean.

Formally Solving Answer-Construction Problems in Lean Aesop: White-box best-first proof search for lean

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.836451Z

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Observation a59ad507-7d5e-4c4d-b080-93ae9f3c2ce5 · outbound

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Formally Solving Answer-Construction Problems in Lean Goedel-Prover: A Frontier Model for Open-Source Automated Theorem Proving

Reference 31

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Formally Solving Answer-Construction Problems in Lean FIMO: A Challenge Formal Dataset for Automated Theorem Proving

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:08.498951Z

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Formally Solving Answer-Construction Problems in Lean CombiBench: Benchmarking LLM Capability for Combinatorial Mathematics

Reference 33

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Formally Solving Answer-Construction Problems in Lean Beyond Theorem Proving: Formulation, Framework and Benchmark for Formal Problem-Solving

Reference 34

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Formally Solving Answer-Construction Problems in Lean The Lean Mathematical Library

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.818744Z

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Observation 352e89b4-1a96-4faa-915d-8311fb17af1d · outbound

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Formally Solving Answer-Construction Problems in Lean The Lean 4 Theorem Prover and Programming Language

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.798592Z

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Observation 486b56c9-9372-4f23-bb1f-2816331ea2d3 · outbound

This paper cites The logic theory machine--a complex information processing system.

Formally Solving Answer-Construction Problems in Lean The logic theory machine--a complex information processing system

Reference 37

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Formally Solving Answer-Construction Problems in Lean Isabelle: A Generic Theorem Prover

Reference 38

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Observation 78b62146-fd31-40ad-b63b-88eec7d1d3ca · outbound

This paper cites How to solve it: A new aspect of mathematical method.

Formally Solving Answer-Construction Problems in Lean How to solve it: A new aspect of mathematical method

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.569835Z

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Observation ffae1b79-bb95-4a75-b83e-2e7061678978 · outbound

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Formally Solving Answer-Construction Problems in Lean Sentence-BERT: Sentence Embeddings using Siamese BERT-Networks

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.013115Z

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Formally Solving Answer-Construction Problems in Lean DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.070593Z

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Observation 1313b847-5f41-461d-aa15-ff462f74d475 · outbound

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Formally Solving Answer-Construction Problems in Lean E--A Brainiac Theorem Prover

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.457357Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd9f1612-7488-4483-abbe-5ec108234b19 · outbound

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

Formally Solving Answer-Construction Problems in Lean DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.201656Z

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Observation 226aec31-16a3-4041-983f-8a6b9b5c846a · outbound

This paper cites Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean.

Formally Solving Answer-Construction Problems in Lean Lean Copilot: Large Language Models as Copilots for Theorem Proving in Lean

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.274630Z

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Unavailable: canonical work link unavailable.

Observation abaeed69-f1bd-425f-8d64-52ba79797619 · outbound

This paper cites Ai achieves silver-medal standard solving international mathematical olympiad problems.

Formally Solving Answer-Construction Problems in Lean Ai achieves silver-medal standard solving international mathematical olympiad problems

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.366273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7a0f280-2167-4fde-a72b-2b0e1858e185 · outbound

This paper cites Solving Olympiad Geometry without Human Demonstrations.

Formally Solving Answer-Construction Problems in Lean Solving Olympiad Geometry without Human Demonstrations

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.270721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae65675f-1f36-409d-912c-56332d3a9584 · outbound

This paper cites PutnamBench: Evaluating Neural Theorem-Provers on the Putnam Mathematical Competition.

Formally Solving Answer-Construction Problems in Lean PutnamBench: Evaluating Neural Theorem-Provers on the Putnam Mathematical Competition

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.417792Z

Source-reported events for the cited work

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Observation b4e23b90-0b7b-40bc-8f6f-0b56975ff8f3 · outbound

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Formally Solving Answer-Construction Problems in Lean Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.500419Z

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Observation 198f54ab-4c18-4d89-963a-8f7f19b799fa · outbound

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Formally Solving Answer-Construction Problems in Lean Chain-of-Thought Prompting Elicits Reasoning in Large Language Models

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.584334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5284d5f5-7492-40bf-8ef0-4a0d8b515503 · outbound

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Formally Solving Answer-Construction Problems in Lean Autoformalization with Large Language Models

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.182108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 237b2387-da82-4ead-a839-022227010697 · outbound

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

Formally Solving Answer-Construction Problems in Lean DeepSeek-Prover: Advancing Theorem Proving in LLMs through Large-Scale Synthetic Data

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.741743Z

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Unavailable: canonical work link unavailable.

Observation 6b52a3b8-ca6d-457b-be91-fdbf3c2dacf3 · outbound

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Formally Solving Answer-Construction Problems in Lean Formal Mathematical Reasoning: A New Frontier in AI

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.822495Z

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Observation 61b47ad2-3f2c-4b03-9919-0050f2f1edf3 · outbound

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Formally Solving Answer-Construction Problems in Lean React: Synergizing reasoning and acting in language models

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:09.934127Z

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Observation bfd69702-f481-4d02-afe2-56b79cc8b163 · outbound

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Formally Solving Answer-Construction Problems in Lean SATLM: Satisfiability-Aided Language Models using Declarative Prompting

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:11.092097Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 73ce886d-6987-4cf7-a7b0-f90e6c9b2362 · outbound

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Formally Solving Answer-Construction Problems in Lean Lean Workbook: A large-scale Lean problem set formalized from natural language math problems

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:10.073644Z

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Unavailable: canonical work link unavailable.

Observation 7f556ed6-553e-4913-a741-6da847dc2fae · outbound

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

Formally Solving Answer-Construction Problems in Lean InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:10.129039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a19cde46-1023-442b-802e-b09dc1152cda · outbound

This paper cites DAPO: An Open-Source LLM Reinforcement Learning System at Scale.

Formally Solving Answer-Construction Problems in Lean DAPO: An Open-Source LLM Reinforcement Learning System at Scale

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:10.188950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46b3a381-5617-4c88-b32b-1d1849e82c1c · outbound

This paper cites FormalMATH: Benchmarking Formal Mathematical Reasoning of Large Language Models.

Formally Solving Answer-Construction Problems in Lean FormalMATH: Benchmarking Formal Mathematical Reasoning of Large Language Models

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-07T14:34:10.269807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 738ad689-feab-49c3-bcf7-a50de98a8c2e · outbound

This paper cites MiniF2F: A Cross-System Benchmark for Formal Olympiad-Level Mathematics.

Formally Solving Answer-Construction Problems in Lean MiniF2F: A Cross-System Benchmark for Formal Olympiad-Level Mathematics

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:34:10.980328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 02e9fcdc-46a2-4e9e-b21e-1225a5d63f75 · inbound

Discovering Ordinary Differential Equations with LLM-Based Qualitative and Quantitative Evaluation cites this paper.

Discovering Ordinary Differential Equations with LLM-Based Qualitative and Quantitative Evaluation Formally Solving Answer-Construction Problems in Lean

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-02T14:40:30.248895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.