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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 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-15T09:09:14.884516Z digest=sha256:814c6fb56a6d3ec24a503c00a61ddf448b49a5e7e02fc01cf0c5db9c6867373d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T12:36:50.060335Z digest=sha256:857f32dd59341293eec5afb176cb5088fbb0c12c49f5fa831c153563cc3d43a3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T13:43:43.223872Z digest=sha256:4be6889e47d7e80f82b7a588faab14a0a32df59b6e68111e47a4cc75ae7f0957

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-12T08:40:40.910461Z digest=sha256:ac7cd76dc81e703d2bb4aafb34b5093ff74cb74301df85d0aa7e38b957071726

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=sha256:064d5443c34312ac4cb8acbc3171ddb1316889f27f420679877a835c5bd22aa4

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:f352f694efed1d9d15b610f193bfaeebfb80ea7ccc8760724ea4a000ddb6ddc2

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=sha256:5cf62efe3aedf6a5636962598c6d66f6bd31af1dbfb7d6f6d554c1bbbb698f36

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-21T23:24:43.556606Z digest=sha256:1f6f619956a81a31aa9c8f029409536afa746b7e9c99d0664af7f8af608d1665

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:f63598b2784b195f62e4a81f08b6302450d1618ac967bb587b33c6bd6f3189f6

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=sha256:3bf17271a94b2d5ae7c54de9fa136b96495228854cf24a8d20cc8a74bbd81959