Paper Citation Record · LEDGER

Case study: proving sqrt(2) irrational with LPTP and an LLM

As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2607.21187.

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

pith.paper-citation-record.v1
2607.21187 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T08:21:02.139404Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

25 of 25 outbound references displayed

verified exact7
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4de85bdf-1bfa-4b6a-9549-cac37a54d105 · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-08-01T08:23:52.524837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 72ae6882-954e-4159-9fd3-62795ae108af · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T08:20:59.858511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e467268f-b6c6-4767-93d9-422924b6fb68 · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-01T08:23:52.352223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7f11cdf1-b0f7-420c-80e0-8783c3149fa0 · outbound

This paper cites Drabent (2016): Correctness and Completeness of Logic Programs.

Case study: proving sqrt(2) irrational with LPTP and an LLM Drabent (2016): Correctness and Completeness of Logic Programs

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T08:23:52.201383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9320470b-1c30-42a4-a1aa-0b2972a19adc · outbound

This paper cites Ferrand & P.

Case study: proving sqrt(2) irrational with LPTP and an LLM Ferrand & P

Reference 5

Resolution: verified exact; doi, observed 2026-08-01T08:23:52.040822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation da42375c-87da-405d-9c1f-d8e0dd84f5ae · outbound

This paper cites Rabe, Talia Ringer & Yuriy Brun (2023): Baldur: Whole-Proof Generation and Repair with Large Language Models.

Case study: proving sqrt(2) irrational with LPTP and an LLM Rabe, Talia Ringer & Yuriy Brun (2023): Baldur: Whole-Proof Generation and Repair with Large Language Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:00.387604Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation baa53413-8f9c-42c9-b661-10690a0f2c29 · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:00.396163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53f7d6a9-dc3e-41f0-82f1-6335c09e54d5 · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:00.520668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5a81746-1bfd-41ee-8ae7-102221e9b62f · outbound

This paper cites Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs.

Case study: proving sqrt(2) irrational with LPTP and an LLM Draft, Sketch, and Prove: Guiding Formal Theorem Provers with Informal Proofs

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:00.624869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1110f89-4d25-40bb-85b7-968e2647e368 · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:00.727966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5366241c-e7b9-4a2c-8bb4-25595544936b · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 11

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T08:23:51.571603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation eb73be2f-548c-45af-937d-153fca68fd93 · outbound

This paper cites In Nikolaj S.

Case study: proving sqrt(2) irrational with LPTP and an LLM In Nikolaj S

Reference 12

Resolution: malformed identifier; doi_truncated, observed 2026-08-01T08:23:51.420104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2dd55ba1-525e-4e34-82ba-57b757bb123a · outbound

This paper cites Electronic Proceedings in Theoretical Computer Science 439, p.

Case study: proving sqrt(2) irrational with LPTP and an LLM Electronic Proceedings in Theoretical Computer Science 439, p

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.035268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d829d76-bd38-4f77-b43c-a80548fdb0bc · outbound

This paper cites HERMES: Towards Efficient and Verifiable Mathematical Reasoning in LLMs.

Case study: proving sqrt(2) irrational with LPTP and an LLM HERMES: Towards Efficient and Verifiable Mathematical Reasoning in LLMs

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.120422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cad60525-3846-4a9d-b95e-d537ef1ac55d · outbound

This paper cites Pedreschi & S.

Case study: proving sqrt(2) irrational with LPTP and an LLM Pedreschi & S

Reference 15

Resolution: verified exact; doi, observed 2026-08-01T08:23:51.222743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2143565c-433b-4a1a-ae1c-e6ad4005e54a · outbound

This paper cites Generative Language Modeling for Automated Theorem Proving.

Case study: proving sqrt(2) irrational with LPTP and an LLM Generative Language Modeling for Automated Theorem Proving

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.311618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95b40ab7-8008-4ec7-a711-8c210e8777c0 · outbound

This paper cites arXiv:2504.17017.

Case study: proving sqrt(2) irrational with LPTP and an LLM arXiv:2504.17017

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.386645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 081db2a7-9b15-45bb-abd7-7193a48aa9fb · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.472778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c558f97-a61f-4003-bab1-e4e97f0baa5a · outbound

This paper cites an unresolved cited work.

Case study: proving sqrt(2) irrational with LPTP and an LLM Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.556849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 222d0a1b-6cf4-4bb9-84f2-076cc96ba1f6 · outbound

This paper cites Stärk (1998): The theoretical foundations of LPTP (a logic program theorem prover).

Case study: proving sqrt(2) irrational with LPTP and an LLM Stärk (1998): The theoretical foundations of LPTP (a logic program theorem prover)

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.642638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17c02639-4feb-4946-bab1-f17013c98dce · outbound

This paper cites Sutcliffe (2023): The logic languages of the TPTP world.

Case study: proving sqrt(2) irrational with LPTP and an LLM Sutcliffe (2023): The logic languages of the TPTP world

Reference 21

Resolution: verified exact; doi, observed 2026-08-01T08:23:50.882278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8c6ff792-5480-4436-b0b1-2e0dfc438fd2 · outbound

This paper cites In: The 4th Workshop on Mathematical Reasoning and AI at NeurIPS’24.

Case study: proving sqrt(2) irrational with LPTP and an LLM In: The 4th Workshop on Mathematical Reasoning and AI at NeurIPS’24

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.811440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 790f4569-2e97-48f0-9566-388e11b45f30 · outbound

This paper cites In: First Conference on Language Modeling.

Case study: proving sqrt(2) irrational with LPTP and an LLM In: First Conference on Language Modeling

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:01.910682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75f821e4-3216-4e96-9221-88ee3b1b9fcf · outbound

This paper cites Wiedijk, editor (2006): The Seventeen Provers of the World, Foreword by Dana S.

Case study: proving sqrt(2) irrational with LPTP and an LLM Wiedijk, editor (2006): The Seventeen Provers of the World, Foreword by Dana S

Reference 24

Resolution: verified exact; doi, observed 2026-08-01T08:23:50.694419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9dc1e642-4f38-4f92-81bc-2e7a8dcf3bbe · outbound

This paper cites Ren, Junxiao Song, Zhihong Shao, Wanjia Zhao, Haocheng Wang, Bo Liu, Liyue Zhang, Xuan Lu, Qiushi Du, Wenjun Gao, Haowei Zhang, Qihao Zhu, Dejian Yang, Zhibin Gou, Z.F.

Case study: proving sqrt(2) irrational with LPTP and an LLM Ren, Junxiao Song, Zhihong Shao, Wanjia Zhao, Haocheng Wang, Bo Liu, Liyue Zhang, Xuan Lu, Qiushi Du, Wenjun Gao, Haowei Zhang, Qihao Zhu, Dejian Yang, Zhibin Gou, Z.F

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T08:21:02.139404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.