Paper Citation Record · LEDGER

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4

As of 8 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2507.14722.

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

pith.paper-citation-record.v1
2507.14722 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:54:13.229677Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy16
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3960d084-efe0-46ff-b5b8-d5ff11c151e5 · outbound

This paper cites and Tenev, V.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 and Tenev, V

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:17.597128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cb997462-f095-4284-b908-c40e677c9f25 · outbound

This paper cites Pantograph: A Machine-to-Machine Interaction Interface for Advanced Theorem Proving, High Level Reasoning, and Data Extraction in Lean 4.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Pantograph: A Machine-to-Machine Interaction Interface for Advanced Theorem Proving, High Level Reasoning, and Data Extraction in Lean 4

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:10.033678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 818fbcf9-d87f-47cf-9fa4-55b72fbb6dd1 · outbound

This paper cites A proof-producing compiler for blockchain applications.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 A proof-producing compiler for blockchain applications

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:10.156892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f6d5954-708c-4528-97a4-74582312b642 · outbound

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

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 ProofNet: Autoformalizing and Formally Proving Undergraduate-Level Mathematics

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:10.269306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06179fe8-e294-4180-9d76-c5ea1a71ab79 · outbound

This paper cites Llemma: An Open Language Model For Mathematics.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Llemma: An Open Language Model For Mathematics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:10.380691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfcbe667-03ee-43e5-9509-9720094004ce · outbound

This paper cites The description logic handbook: Theory, implementation and applications.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 The description logic handbook: Theory, implementation and applications

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:17.312338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3d6be919-d29b-4a4d-8000-cf28de01f80e · outbound

This paper cites and Tinelli, C.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 and Tinelli, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:17.054762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6d41ac40-ca68-4c08-811f-a52ed9227dac · outbound

This paper cites P., Sharlin, S., Feyzishendi, P., Dang, A.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 P., Sharlin, S., Feyzishendi, P., Dang, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:16.829071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2e3c9c59-25ee-446a-a512-4732d90d0929 · outbound

This paper cites Axiomatic foundations and algorithms for deciding semantic equivalences of sql queries.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Axiomatic foundations and algorithms for deciding semantic equivalences of sql queries

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:10.715410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4027da35-2307-47a5-b703-768e89545bb9 · outbound

This paper cites Lean 4 repl.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Lean 4 repl

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:16.543712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2b2eb1f0-0be7-43dd-b82b-4d1f2e5b9ff3 · outbound

This paper cites The lean mathematical library.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 The lean mathematical library

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:10.876621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4824c67-884c-4d27-b217-fa44476ea640 · outbound

This paper cites Cryptography experiments in lean 4: SHA -3 implementation.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Cryptography experiments in lean 4: SHA -3 implementation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:16.287823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72e5108a-124a-4de2-8598-f774040cd1c1 · outbound

This paper cites N., Ringer, T., and Brun, Y.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 N., Ringer, T., and Brun, Y

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:16.021736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ecc2e10c-11af-4d9a-b588-c2e05f085530 · outbound

This paper cites an unresolved cited work.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:54:15.759893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 286dc456-c339-4485-9c90-6ed9fbf68698 · outbound

This paper cites ABEL : Sample efficient online reinforcement learning for neural theorem proving.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 ABEL : Sample efficient online reinforcement learning for neural theorem proving

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:15.508379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1dd5d322-50d5-4f3c-a9de-125f01f25f38 · outbound

This paper cites DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:11.253355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b7d673e-992c-4913-a156-fe8ec7543d7f · outbound

This paper cites Proof Artifact Co-training for Theorem Proving with Language Models.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Proof Artifact Co-training for Theorem Proving with Language Models

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:11.363351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e1269be-8926-4c66-b84b-28d7be8bfae3 · outbound

This paper cites Handbook of practical logic and automated reasoning.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Handbook of practical logic and automated reasoning

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:15.277485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8963308f-6cb8-462a-978c-63a8b192837f · outbound

This paper cites LeanReasoner: Boosting Complex Logical Reasoning with Lean.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 LeanReasoner: Boosting Complex Logical Reasoning with Lean

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:11.498960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c873fec3-ac5e-40ef-b06d-0e27f1feeef6 · outbound

This paper cites and Kovsharov, A.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 and Kovsharov, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:15.117999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 89938ad2-9cea-4a13-9ba5-a0176fc47f36 · outbound

This paper cites and Szepesv \'a ri, C.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 and Szepesv \'a ri, C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:14.961773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a20537e-29ba-458d-9df4-3c598c3552b8 · outbound

This paper cites Hypertree proof search for neural theorem proving.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Hypertree proof search for neural theorem proving

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:14.792648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 15e721db-e65a-4f99-a440-a8112b14c85e · outbound

This paper cites and Wheeler, D.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 and Wheeler, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:14.697852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7860f7f9-d921-45f1-b4e6-bd49aec302d0 · outbound

This paper cites lean-training-data: Tools for extracting training‑data from lean libraries.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 lean-training-data: Tools for extracting training‑data from lean libraries

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:14.568385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8c05d51f-f974-41af-93be-6b11479eb92f · outbound

This paper cites an unresolved cited work.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:54:14.408139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ed818c30-693e-4073-b927-7d447d74e60d · outbound

This paper cites Generative Language Modeling for Automated Theorem Proving.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Generative Language Modeling for Automated Theorem Proving

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.149270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d41b17fb-1fa5-4e31-81e6-4175d82a0f5c · outbound

This paper cites DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 DeepSeek-Prover-V2: Advancing Formal Mathematical Reasoning via Reinforcement Learning for Subgoal Decomposition

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.216386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c2beb0d-efb8-4ec6-aac2-9bd5d6964ac0 · outbound

This paper cites Formalization of physics index notation in Lean 4.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Formalization of physics index notation in Lean 4

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:54:13.575844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e1cbf704-d6f6-4cb3-b60f-27e07d5d0aa3 · outbound

This paper cites H., Wu, Y., Le, Q.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 H., Wu, Y., Le, Q

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:14.276545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 33c46597-ee6b-481c-8225-5301b60911b4 · outbound

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

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 PutnamBench: Evaluating Neural Theorem-Provers on the Putnam Mathematical Competition

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.542305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5db9d845-328a-4d43-aaed-30ddfbe90f12 · outbound

This paper cites Formalising the h-principle and sphere eversion.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Formalising the h-principle and sphere eversion

Reference 32

Resolution: metadata mismatch; raw_fallback, observed 2026-08-06T15:54:13.789195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 53e01d90-5bca-4ad0-9ab5-8607509f38e5 · outbound

This paper cites Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Kimina-Prover Preview: Towards Large Formal Reasoning Models with Reinforcement Learning

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.661206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6100ce4-be52-4373-a783-b4b3ee6c3b2f · outbound

This paper cites Holophrasm: a neural Automated Theorem Prover for higher-order logic.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Holophrasm: a neural Automated Theorem Prover for higher-order logic

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.729510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd39096e-f91c-401f-a555-36ac619f21a5 · outbound

This paper cites Internlm2.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Internlm2

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.809897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4896f93f-f903-48db-a9bd-5054b67c7623 · outbound

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

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 DeepSeek-Prover: Advancing Theorem Proving in LLMs through Large-Scale Synthetic Data

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.876347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0835ab6-7595-4193-8269-c7e79b982a38 · outbound

This paper cites DeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Search.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 DeepSeek-Prover-V1.5: Harnessing Proof Assistant Feedback for Reinforcement Learning and Monte-Carlo Tree Search

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:12.937920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08434624-ffc8-4df8-bbe0-3c0edebaf2e0 · outbound

This paper cites J., and Anandkumar, A.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 J., and Anandkumar, A

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:54:14.101325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 188e948e-c039-40f1-8f6c-978a23fab82a · outbound

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

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 Lean Workbook: A large-scale Lean problem set formalized from natural language math problems

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:13.108472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73fd3fcb-0102-47fa-85a7-b26249943763 · outbound

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

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 InternLM-Math: Open Math Large Language Models Toward Verifiable Reasoning

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:13.169692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8f2a6d18-dc89-4f93-9773-50879ac30861 · outbound

This paper cites MiniF2F: a cross-system benchmark for formal Olympiad-level mathematics.

LeanTree: Accelerating White-Box Proof Search with Factorized States in Lean 4 MiniF2F: a cross-system benchmark for formal Olympiad-level mathematics

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T15:54:13.229677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.