Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T10:56:16.246899Z
Paper Citation Record · LEDGER
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 5 inbound Pith citation observations for arXiv:2507.23317.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:50:30.556542Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T17:28:44.643417Z
Reference resolution
31 of 31 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved17
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1d101c04-8e82-48bd-b6fc-02b50a0b9798 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.554738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c225e7c9-0ca5-43a8-b270-932661d0279f · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.544386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9d679ac0-6b90-49eb-b6cd-a1572b11bdfe · outbound
This paper cites **Matching Criteria**.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner **Matching Criteria**
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.534465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f63f2698-9806-47ce-be2a-c6be4a29b5ff · outbound
This paper cites \n\n" delimiter. However, we observed in practice that the model often generates.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner \n\n" delimiter. However, we observed in practice that the model often generates
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.575974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a12a5a68-5769-44cb-b045-7d2a0e627873 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.377355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e0bcdb32-32c0-4447-bb4d-c03a9593fdb3 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 6
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9105df72-1f25-4882-9a96-7d58fb76167f · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.354838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ea2ce7b2-4231-47cf-a743-8026a14a8178 · outbound
This paper cites **Output Format**.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner **Output Format**
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.342847Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 201ede07-4d79-45e1-9180-663e75e2d547 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.525113Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation db635548-8c61-41e9-9cfc-eda96db656d9 · outbound
This paper cites final answer.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner final answer
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.514475Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 69ded6a6-a37c-433f-9f0d-5dfad764d4f2 · outbound
This paper cites - Only record clear content correspondences.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner - Only record clear content correspondences
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.503977Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b75c7d99-dcb0-44ae-aa84-2dee90c54b1e · outbound
This paper cites Solution_Step_Number.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Solution_Step_Number
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.492704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0c5a7c8f-b486-4c49-bb0b-d635dd4d5452 · outbound
This paper cites 0": [1, 3],.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner 0": [1, 3],
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.482170Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 21a72cf2-b32f-4299-9ca4-eec7a0bf17a5 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.471395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 210163cf-3a9a-4a0a-a692-153878b8187b · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.460688Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 54049b85-bfbf-43ac-ac56-fdefdab6cd9e · outbound
This paper cites Reflection 1.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Reflection 1
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.449999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5647d5fc-204c-4215-a568-f7a56c47e1d6 · outbound
This paper cites Specifically, if multiple reflection segments map to the earliest source, we keep the reflection segment with the maximum index.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Specifically, if multiple reflection segments map to the earliest source, we keep the reflection segment with the maximum index
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.565593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9c4dfe45-523e-4686-983e-0705e1a9bed9 · outbound
This paper cites If this step ONLY involves double-checking a previous calculation to verify its correctness, without finding a specific error, then ignore this step.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner If this step ONLY involves double-checking a previous calculation to verify its correctness, without finding a specific error, then ignore this step
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.439390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d8bbc9e5-2fd5-4ae4-9e82-eb6eda105b5b · outbound
This paper cites Earliest Step.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Earliest Step
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.428737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8e352368-8797-4b12-a757-3cf4c4640e9e · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 20
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4427de4e-14ef-45d7-b436-15000690c8f6 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 21
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 81417b39-be38-407f-85f8-74639c43e07d · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 22
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation d430b73a-1aa3-4470-81a0-9b6fcf58e84c · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.387500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b5bc936a-f210-4021-bf74-aa815d329cd7 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 27
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b88483d7-dce1-40c8-8104-5149821450d9 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 28
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 184c4c39-6a58-42cf-8718-8577ce497713 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 29
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 856ad6a5-8f00-4d8c-afea-36004b954d85 · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 30
- Resolution
- unresolved
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7c8e3037-5e0b-43ec-bf39-2bd19b3bdd6b · outbound
This paper cites Table 19: The prompt used to decompose answer.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Table 19: The prompt used to decompose answer
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.279943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c7d80a63-38bb-4a17-80a1-943cd15a9b3a · outbound
This paper cites a randomly selected subset of A.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner a randomly selected subset of A
Reference 2024
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:56:16.607046Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 81a7cd85-c8d6-42bd-949a-fccb23425cba · outbound
This paper cites an unresolved cited work.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Unresolved cited work
Reference 2048
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:56:16.585690Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation cabb7412-e827-4a51-946b-b72c6d72268a · outbound
This paper cites Therefore, 32767 = 7 × 31 × 151.
Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner Therefore, 32767 = 7 × 31 × 151
Reference 4681
- Resolution
- malformed identifier
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
Observation 44294502-7b9b-4803-9b52-ac85b4732737 · inbound
A Survey of Reinforcement Learning for Large Reasoning Models cites this paper.
A Survey of Reinforcement Learning for Large Reasoning Models Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
Reference 191
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 655d1a57-9d47-49ec-a10d-288d54480e52 · inbound
Verifying Meta-Awareness via Predictive Rewards in Reasoning Models cites this paper.
Verifying Meta-Awareness via Predictive Rewards in Reasoning Models Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:50:30.556542Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f308673-b459-437a-acf1-35c4e7b7791a · inbound
LLM Reasoning with Process Rewards for Outcome-Guided Steps cites this paper.
LLM Reasoning with Process Rewards for Outcome-Guided Steps Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T06:47:28.413615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7c865a26-9ce9-411d-ab83-358df0c6da9e · inbound
Trust Region On-Policy Distillation cites this paper.
Trust Region On-Policy Distillation Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
Reference 133
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-01T20:56:13.446782Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 697944d0-fab6-4dc2-8468-27ce4ba66e25 · inbound
BALTO: Balanced Token-Level Policy Optimization for Hallucination Mitigation cites this paper.
BALTO: Balanced Token-Level Policy Optimization for Hallucination Mitigation Good Learners Think Their Thinking: Generative PRM Makes Large Reasoning Model More Efficient Math Learner
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T17:28:44.644965Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.