Paper Citation Record · LEDGER

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

As of 7 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 17 inbound Pith citation observations for arXiv:2509.07980.

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

pith.paper-citation-record.v1
2509.07980 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:28:52.581372Z

measured 44 of 44 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 17 of 17 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:36:25.998787Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T02:56:30.028956Z

Reference resolution

27 of 27 outbound references displayed

verified exact1
verified fuzzy1
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1cbdb3f4-4df4-4b74-b593-063bbb42ed12 · outbound

This paper cites Large Language Monkeys: Scaling Inference Compute with Repeated Sampling.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Large Language Monkeys: Scaling Inference Compute with Repeated Sampling

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:48.417972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed11c2c4-520a-4729-99d2-62093fe0dd0c · outbound

This paper cites Measuring Mathematical Problem Solving With the MATH Dataset.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Measuring Mathematical Problem Solving With the MATH Dataset

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:48.842982Z

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Observation b198ef7d-3422-4d4b-8989-f7f26f6cbc2a · outbound

This paper cites Divide, Reweight, and Conquer: A Logit Arithmetic Approach for In-Context Learning.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Divide, Reweight, and Conquer: A Logit Arithmetic Approach for In-Context Learning

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:28:53.391615Z

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 d60036a1-5e84-4f5c-a3d6-b9a9c62b5162 · outbound

This paper cites Efficient Test-Time Scaling via Self-Calibration.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Efficient Test-Time Scaling via Self-Calibration

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.143122Z

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Observation af4ec024-5037-42b1-81e7-713b7e716b3d · outbound

This paper cites Self-Rewarding Vision-Language Model via Reasoning Decomposition.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Self-Rewarding Vision-Language Model via Reasoning Decomposition

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.329292Z

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Observation 9547c6ec-a53a-4d31-bff0-449c73ccfa24 · outbound

This paper cites Spiral: Self-play on zero-sum games incentivizes reasoning via multi-agent multi-turn reinforcement learning.arXiv preprint arXiv:2506.24119,.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Spiral: Self-play on zero-sum games incentivizes reasoning via multi-agent multi-turn reinforcement learning.arXiv preprint arXiv:2506.24119,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.390681Z

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Observation 80287147-8dee-4a21-9caa-501098559db8 · outbound

This paper cites Matthew Macfarlane, Minseon Kim, Nebojsa Jojic, Weijia Xu, Lucas Caccia, Xingdi Yuan, Wanru Zhao, Zhengyan Shi, and Alessandro Sordoni.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Matthew Macfarlane, Minseon Kim, Nebojsa Jojic, Weijia Xu, Lucas Caccia, Xingdi Yuan, Wanru Zhao, Zhengyan Shi, and Alessandro Sordoni

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:28:53.693150Z

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 6fc2d1c6-c9bc-49c0-ace7-5ab8591c63f1 · outbound

This paper cites Learning Adaptive Parallel Reasoning with Language Models.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Learning Adaptive Parallel Reasoning with Language Models

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.523071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 713939a4-7a0f-458e-ad97-07f78449db3c · outbound

This paper cites Hogwild! inference: Parallel llm generation via concurrent attention.arXiv preprint arXiv:2504.06261,.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Hogwild! inference: Parallel llm generation via concurrent attention.arXiv preprint arXiv:2504.06261,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.606573Z

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Observation 405ed9da-be08-441c-a7c5-f99b938dd518 · outbound

This paper cites Adversarial Reasoning at Jailbreaking Time.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Adversarial Reasoning at Jailbreaking Time

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.697568Z

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Observation e08612b1-25fd-4410-b5dd-12cf2946f872 · outbound

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

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.771954Z

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Observation 92990e46-971a-4b49-802d-bc35ea597896 · outbound

This paper cites HybridFlow: A Flexible and Efficient RLHF Framework.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning HybridFlow: A Flexible and Efficient RLHF Framework

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.856838Z

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Observation 3a8e54aa-775a-42e5-89c2-6ac17b513180 · outbound

This paper cites MobileGUI-RL: Advancing Mobile GUI Agent through Reinforcement Learning in Online Environment.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning MobileGUI-RL: Advancing Mobile GUI Agent through Reinforcement Learning in Online Environment

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.949465Z

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Observation bf208120-e27a-4f5a-a3f3-df5416e19825 · outbound

This paper cites On the Hardness of Faithful Chain-of-Thought Reasoning in Large Language Models.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning On the Hardness of Faithful Chain-of-Thought Reasoning in Large Language Models

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:50.022641Z

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Observation bf8f7d3c-d7c9-40f7-b544-a1fa7f6a0420 · outbound

This paper cites To Code or not to Code? Adaptive Tool Integration for Math Language Models via Expectation-Maximization.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning To Code or not to Code? Adaptive Tool Integration for Math Language Models via Expectation-Maximization

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:50.169747Z

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Observation 9691f506-e6da-4df4-b0aa-c82e74f335aa · outbound

This paper cites VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning VAPO: Efficient and Reliable Reinforcement Learning for Advanced Reasoning Tasks

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:50.583503Z

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Observation 7449f66d-9235-43f2-b462-499ca818af64 · outbound

This paper cites Accessing GPT-4 level Mathematical Olympiad Solutions via Monte Carlo Tree Self-refine with LLaMa-3 8B.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Accessing GPT-4 level Mathematical Olympiad Solutions via Monte Carlo Tree Self-refine with LLaMa-3 8B

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:51.031284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2128fd9f-9219-4868-92bb-21e14ce554b4 · outbound

This paper cites Learning to Reason via Mixture-of-Thought for Logical Reasoning.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Learning to Reason via Mixture-of-Thought for Logical Reasoning

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:52.055915Z

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Observation 42cfe4e3-fc94-478f-9ca9-40b95fdf9932 · outbound

This paper cites Dissecting logical reasoning in llms: A fine-grained evaluation and supervision study.arXiv preprint arXiv:2506.04810,.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Dissecting logical reasoning in llms: A fine-grained evaluation and supervision study.arXiv preprint arXiv:2506.04810,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:52.354156Z

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Observation 2220d7ac-1e80-4b0f-bb7a-a0aa533bc019 · outbound

This paper cites TTRL: Test-Time Reinforcement Learning.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning TTRL: Test-Time Reinforcement Learning

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:52.581372Z

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Observation fdcdd31d-64c2-4f09-9a52-63b8c5b54c8a · outbound

This paper cites Breach in the Shield: Unveiling the Vulnerabilities of Large Language Models.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Breach in the Shield: Unveiling the Vulnerabilities of Large Language Models

Reference 1989

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:48.635933Z

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Unavailable: canonical work link unavailable.

Observation c59ba061-c2cb-49e9-8181-ebcf4f50a036 · outbound

This paper cites Learning to Keep a Promise: Scaling Language Model Decoding Parallelism with Learned Asynchronous Decoding.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Learning to Keep a Promise: Scaling Language Model Decoding Parallelism with Learned Asynchronous Decoding

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:49.250131Z

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Observation d32bd04e-8be1-4b51-beb1-40f512cf0fcb · outbound

This paper cites Group Think: Multiple Concurrent Reasoning Agents Collaborating at Token Level Granularity.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Group Think: Multiple Concurrent Reasoning Agents Collaborating at Token Level Granularity

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:48.990999Z

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Observation 545b25e9-4311-4970-99e9-24fbce537175 · outbound

This paper cites Qwen3 Technical Report.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning Qwen3 Technical Report

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:50.298882Z

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Observation 40ebbcef-d119-4401-8470-c8073730f54a · outbound

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

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning DAPO: An Open-Source LLM Reinforcement Learning System at Scale

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:50.365945Z

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Observation bf4b7a5f-abee-4dad-b9af-69f47d76e78e · outbound

This paper cites ASPD: Unlocking Adaptive Serial-Parallel Decoding by Exploring Intrinsic Parallelism in LLMs.

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning ASPD: Unlocking Adaptive Serial-Parallel Decoding by Exploring Intrinsic Parallelism in LLMs

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:48.497263Z

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Observation fe6b19d7-fe42-4231-b346-f3a6e7612a58 · outbound

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

Parallel-R1: Towards Parallel Thinking via Reinforcement Learning DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-04T21:28:48.745667Z

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Pith citing papers

Observation 4cb5c848-dc4a-4312-8813-dc690d41f70b · inbound

StatEval: A Comprehensive Benchmark for Large Language Models in Statistics cites this paper.

StatEval: A Comprehensive Benchmark for Large Language Models in Statistics Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T10:36:25.998787Z

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Observation 35545380-d09f-42e0-aa19-7af9659e144f · inbound

Native Parallel Reasoner: Reasoning in Parallelism via Self-Distilled Reinforcement Learning cites this paper.

Native Parallel Reasoner: Reasoning in Parallelism via Self-Distilled Reinforcement Learning Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-17T01:13:47.999081Z

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 101c8fcc-0766-4ad4-937a-0f5757a1c1a7 · inbound

LangDriveCTRL: Natural Language Controllable Driving Scene Editing with Multi-modal Agents cites this paper.

LangDriveCTRL: Natural Language Controllable Driving Scene Editing with Multi-modal Agents Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-16T20:58:31.796120Z

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 1e4f5c74-0e8f-4a1c-bbc1-d90185439540 · inbound

On the Overscaling Curse of Parallel Thinking: System Efficacy Contradicts Sample Efficiency cites this paper.

On the Overscaling Curse of Parallel Thinking: System Efficacy Contradicts Sample Efficiency Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:40:51.382604Z

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

Observation 0050ce8a-a01e-4356-bc8e-2e84d34e485d · inbound

Efficient Reasoning on the Edge cites this paper.

Efficient Reasoning on the Edge Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 70

Resolution: unresolved; no resolver link, observed 2026-07-13T23:28:12.790404Z

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Observation 1a452e8f-2252-4f76-a376-3f16b8a823dc · inbound

Understanding Performance Gap Between Parallel and Sequential Sampling in Large Reasoning Models cites this paper.

Understanding Performance Gap Between Parallel and Sequential Sampling in Large Reasoning Models Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:20:52.481619Z

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

Observation d33036cc-7cf4-4082-92ae-3eff1461b24f · inbound

LACE: Lattice Attention for Cross-thread Exploration cites this paper.

LACE: Lattice Attention for Cross-thread Exploration Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 55

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:24:21.243161Z

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

Observation 87bd6cf4-27ac-4581-98b7-e984461203ab · inbound

LACE: Lattice Attention for Cross-thread Exploration cites this paper.

LACE: Lattice Attention for Cross-thread Exploration Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 55

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:50:50.152538Z

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 27be7139-36e9-413a-bbc7-69b562b1b901 · inbound

LACE: Lattice Attention for Cross-thread Exploration cites this paper.

LACE: Lattice Attention for Cross-thread Exploration Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 55

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:36:28.484141Z

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

Observation 4bf022af-6523-4e8d-b7b2-2929d433f2d5 · inbound

Too Correct to Learn: Reinforcement Learning on Saturated Reasoning Data cites this paper.

Too Correct to Learn: Reinforcement Learning on Saturated Reasoning Data Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 45

Resolution: verified exact; arxiv_id, observed 2026-05-10T05:36:02.009207Z

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 cf37284b-4403-415a-868c-d46f9d7fc1e8 · inbound

The Scaling Properties of Implicit Deductive Reasoning in Transformers cites this paper.

The Scaling Properties of Implicit Deductive Reasoning in Transformers Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:56:06.362781Z

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

Observation fd7d90a0-e220-4ac0-9b16-9863a5e3d58e · inbound

The Scaling Properties of Implicit Deductive Reasoning in Transformers cites this paper.

The Scaling Properties of Implicit Deductive Reasoning in Transformers Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-02T14:54:16.625002Z

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Observation 6dc354b1-2c7a-42b3-823a-96c3d3d4d9f8 · inbound

Regulating Branch Parallelism in LLM Serving cites this paper.

Regulating Branch Parallelism in LLM Serving Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-11T04:50:58.350558Z

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

Observation d9179099-d64b-4beb-9db5-5f92b6033424 · inbound

Reinforcing Multimodal Reasoning Against Visual Degradation cites this paper.

Reinforcing Multimodal Reasoning Against Visual Degradation Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:06:25.161203Z

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

Observation cca0ac9b-fc25-41ba-a2b9-ef19002ac348 · inbound

DeltaRubric: Generative Multimodal Reward Modeling via Joint Planning and Verification cites this paper.

DeltaRubric: Generative Multimodal Reward Modeling via Joint Planning and Verification Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 52

Resolution: verified exact; arxiv_id, observed 2026-05-12T06:01:24.337093Z

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

Observation 0aeec0c5-f4f8-4218-be30-738bdc2b06b9 · inbound

Small RL Controller, Large Language Model: RL-Guided Adaptive Sampling for Test-Time Scaling cites this paper.

Small RL Controller, Large Language Model: RL-Guided Adaptive Sampling for Test-Time Scaling Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 76

Resolution: verified exact; arxiv_id, observed 2026-07-02T02:56:30.030900Z

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

Observation a49cfe8a-2894-4485-ab0b-ea0df3835026 · inbound

Ring-Zero: Scaling Zero RL to a Trillion Parameters for Emergent Reasoning cites this paper.

Ring-Zero: Scaling Zero RL to a Trillion Parameters for Emergent Reasoning Parallel-R1: Towards Parallel Thinking via Reinforcement Learning

Reference 83

Resolution: unresolved; no resolver link, observed 2026-08-02T06:37:39.525266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.