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Paper Citation Record · LEDGER

LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2406.14024.

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

pith.paper-citation-record.v1
2406.14024 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:06:41.126923Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T23:25:45.330390Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 174bd1a2-1c24-4758-98fe-7cd4aa632bd7 · inbound

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

Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 57

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T09:09:14.991946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-15T09:09:14.884516Z digest=sha256:fcc6b1ab9289449dd08e33f047b797dfdac6eb7fc167f81527e241e7687cedc2

Observation 5b8e3c48-5f41-4de2-84ad-d833fd5fdb71 · inbound

HuatuoGPT-o1, Towards Medical Complex Reasoning with LLMs cites this paper.

HuatuoGPT-o1, Towards Medical Complex Reasoning with LLMs LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 79

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T12:36:50.218670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-15T12:36:50.060335Z digest=sha256:5b0efd39bf636df2ef2fed71ce03453bb76f1bb88b5eae33cf3929c588a53c5a

Observation 747f978e-70c8-4e5f-9aa6-ced8c452aba9 · inbound

The Lessons of Developing Process Reward Models in Mathematical Reasoning cites this paper.

The Lessons of Developing Process Reward Models in Mathematical Reasoning LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-16T13:43:43.255107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-16T13:43:43.223872Z digest=sha256:404badf389d16a96f8ab0712f87ea739dc15e72fe5a230ce7bcd14a24c17046c

Observation b65c97d0-f23f-49ea-814a-473cb74a91c5 · inbound

Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models cites this paper.

Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 199

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T08:41:23.568811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-12T08:40:40.910461Z digest=sha256:85dad346c1e6f0aabe6084b43c38a2cc68747b93e8032e39fadc121309e7c738

Observation 60386761-00f8-4d14-9105-f477aa201bba · inbound

FreePRM: Training Process Reward Models Without Ground Truth Process Labels cites this paper.

FreePRM: Training Process Reward Models Without Ground Truth Process Labels LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T11:06:41.126923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:06:41.126923Z digest=sha256:503081a50d26d7cbc400a5b6dc182c71a4d121ef36b06abb9b890459ca8d1ee5

Observation 6e13ea11-2128-4fcc-8322-6284110a2b06 · inbound

A Survey on Large Language Models for Mathematical Reasoning cites this paper.

A Survey on Large Language Models for Mathematical Reasoning LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-07T05:14:45.815657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:14:45.815657Z digest=sha256:64f568e0de7a906561a947a15e63c12ccf789949f7d37707dc4ba56bb4a8372e

Observation 3e166373-3cab-4d7d-93c9-1559829a576c · inbound

GRPO-CARE: Consistency-Aware Reinforcement Learning for Multimodal Reasoning cites this paper.

GRPO-CARE: Consistency-Aware Reinforcement Learning for Multimodal Reasoning LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T23:48:34.894129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:48:34.894129Z digest=sha256:63f348673f955fbc752c1d39d1d285e37230a31cbd7a415a50046722694bacc7

Observation f0457bb7-171b-43e5-998b-d3f28515fca2 · inbound

CoLD: Counterfactually-Guided Length Debiasing for Process Reward Models in Mathematical Reasoning cites this paper.

CoLD: Counterfactually-Guided Length Debiasing for Process Reward Models in Mathematical Reasoning LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:25:45.332497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-21T23:24:43.556606Z digest=sha256:0409b3cf110487dfa823473502c24c1a0a2aa3a61bbbdab4b58786d4d7b2e6d6

Observation 74ed3c91-850d-4a34-ae1d-086c3d63ecf3 · inbound

Dynamic and Generalizable Process Reward Modeling cites this paper.

Dynamic and Generalizable Process Reward Modeling LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T14:44:35.818968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:44:35.818968Z digest=sha256:dab649471d48d700a41af9280ea0946522755fcf201a55239a4e51ad74e9d9b8

Observation c0362fa1-abad-4029-a7f0-09c3884f7984 · inbound

Reward Modeling for Reinforcement Learning-Based LLM Reasoning: Design, Challenges, and Evaluation cites this paper.

Reward Modeling for Reinforcement Learning-Based LLM Reasoning: Design, Challenges, and Evaluation LLM Critics Help Catch Bugs in Mathematics: Towards a Better Mathematical Verifier with Natural Language Feedback

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-03T03:04:43.591074Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:04:43.591074Z digest=sha256:dc588ff04617dc70e75f3af1c64dc97b8592b6ed1a2be471c977b741f37ec4fd