Paper Citation Record · LEDGER

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models

As of 7 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 2 inbound Pith citation observations for arXiv:2506.04746.

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

pith.paper-citation-record.v1
2506.04746 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:40:08.061948Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T11:29:29.074324Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ab798cd3-cf67-49c3-b187-b70b5b019c84 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Training Verifiers to Solve Math Word Problems

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.139524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b1636c3-4548-463d-82af-fbc33ca6f9f3 · outbound

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

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.185507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b6f6705-fe19-4efb-9329-762b5281f9e1 · outbound

This paper cites an unresolved cited work.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:09.135642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ba1f84a0-4c2f-4da3-bdc4-3521f882f266 · outbound

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

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.320189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8d4b795-a3c2-4ee4-843b-f256d021add3 · outbound

This paper cites an unresolved cited work.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.380688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c89b90d7-cd9b-4837-a7a6-408fc3933a32 · outbound

This paper cites Large Language Models Cannot Self-Correct Reasoning Yet.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Large Language Models Cannot Self-Correct Reasoning Yet

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.447800Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64bf6571-ca46-47fb-af1f-de4e316902a8 · outbound

This paper cites Training Language Models to Self-Correct via Reinforcement Learning.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Training Language Models to Self-Correct via Reinforcement Learning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.568303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29ec0150-9ffb-45e1-a693-8ccdfb7c255a · outbound

This paper cites Gonzalez, Hao Zhang, and Ion Stoica.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Gonzalez, Hao Zhang, and Ion Stoica

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.692922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 853a6945-caa1-4574-bb72-90775fe66610 · outbound

This paper cites Scalable agent alignment via reward modeling: a research direction.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Scalable agent alignment via reward modeling: a research direction

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:06.800735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5c80abc-02c5-4f3e-8a92-2b0f1e56b5d6 · outbound

This paper cites an unresolved cited work.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:08.808434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0bef0996-19a8-4213-870b-8946eada23d3 · outbound

This paper cites an unresolved cited work.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:08.480800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c4301d10-da22-495e-8b85-527491d0e9f1 · outbound

This paper cites Let's Verify Step by Step.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Let's Verify Step by Step

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.148178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 193424a8-b370-4cb1-a1ae-fd8716f02399 · outbound

This paper cites an unresolved cited work.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:40:08.354921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68d06202-fbea-444a-bbc7-f76a46853251 · outbound

This paper cites Proximal Policy Optimization Algorithms.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Proximal Policy Optimization Algorithms

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.331186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c3ecdb3-18ab-4240-b43d-d400d0aeffeb · outbound

This paper cites Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Rewarding Progress: Scaling Automated Process Verifiers for LLM Reasoning

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.387674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5ad3a7b-2e7f-4bb1-9c07-ad54bd22ccaf · outbound

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

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.456498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a660bc98-c428-490f-8323-56b45bdf5715 · outbound

This paper cites an unresolved cited work.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.548585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation baea495c-e9ec-4df9-80e3-68e6d80d0c3f · outbound

This paper cites Kimi k1.5: Scaling Reinforcement Learning with LLMs.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Kimi k1.5: Scaling Reinforcement Learning with LLMs

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.604698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4998d84f-6eec-4663-a3dd-345085d855e6 · outbound

This paper cites Solving math word problems with process- and outcome-based feedback.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Solving math word problems with process- and outcome-based feedback

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.664835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2c895e6-e531-4eac-987d-fceec4977b1e · outbound

This paper cites Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Math-Shepherd: Verify and Reinforce LLMs Step-by-step without Human Annotations

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.733765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98430df0-679c-475b-be78-8a36753bf931 · outbound

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

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models DAPO: An Open-Source LLM Reinforcement Learning System at Scale

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.799079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6288b23-6d7c-4ca5-9ea3-4f13dee11fe3 · outbound

This paper cites Free Process Rewards without Process Labels.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models Free Process Rewards without Process Labels

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.886754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34338a91-b7fb-4e61-85dc-faf337e5ba63 · outbound

This paper cites online" 'onlinestring :=.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models online" 'onlinestring :=

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:07.990278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad824c78-4743-4b58-8b78-7ffe378e44a0 · outbound

This paper cites write newline.

Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models write newline

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T10:40:08.061948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fe35ccc6-759e-4a2e-b59d-15c4c08ee3a1 · inbound

From Chatbot to Digital Colleague: The Paradigm Shift Toward Persistent Autonomous AI cites this paper.

From Chatbot to Digital Colleague: The Paradigm Shift Toward Persistent Autonomous AI Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models

Reference 116

Resolution: unresolved; no resolver link, observed 2026-08-02T11:29:29.074324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f8be023-0867-428d-8c04-a4f53cf464fd · inbound

LA-RL: Label-Aware Self-Reflection for Reinforcement Learning in Information Extraction cites this paper.

LA-RL: Label-Aware Self-Reflection for Reinforcement Learning in Information Extraction Multi-Layer GRPO: Enhancing Reasoning and Self-Correction in Large Language Models

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-30T22:49:42.994634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.