Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:46:01.590792Z
Paper Citation Record · LEDGER
As of 7 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 1 inbound Pith citation observation for arXiv:2507.12759.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:46:01.590792Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T09:12:10.059856Z
A source-named dated measurement, never combined with another source.
Source: cited_works
62 of 62 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 21997aab-3d1a-4cb8-b179-e2f83a94a126 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Large Language Monkeys: Scaling Inference Compute with Repeated Sampling
Reference 1
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Unavailable: canonical work link unavailable.
Observation f6c26582-69dd-4d78-b5a2-713aefe9aad1 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Evaluating Large Language Models Trained on Code
Reference 2
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Observation 12c0f1fe-df2f-42d6-a4e0-8ffaec5705d1 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs
Reference 3
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Observation de9cfe34-37b3-43fc-ab64-454abe207e69 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Glass, and Pengcheng He
Reference 4
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a9939c19-8436-4e7b-b368-9e44db16b45e · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Training Verifiers to Solve Math Word Problems
Reference 5
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Unavailable: canonical work link unavailable.
Observation 2c64b3b2-1519-44f8-8d23-cfdb3e01f7ff · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Reinforcement learning for reasoning in small llms: What works and what doesn't
Reference 6
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Observation 683c4a71-7ef6-48e9-b07e-7feec6730d36 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning
Reference 7
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Unavailable: canonical work link unavailable.
Observation 8f246712-f3af-47f5-9297-06a5801a5a63 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training On giant's shoulders: Effortless weak to strong by dynamic logits fusion
Reference 8
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 72107da5-6899-40ae-b762-4edcbbd86c67 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training On giant's shoulders: Effortless weak to strong by dynamic logits fusion
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 70215125-4178-4489-98dd-6b7077763c63 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Cognitive Behaviors that Enable Self-Improving Reasoners, or, Four Habits of Highly Effective STaRs
Reference 10
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Observation 9b39ac8c-3f01-4e6e-a3fb-269e31ca2629 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Measuring mathematical problem solving with the MATH dataset
Reference 11
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Observation f2f772cb-6146-4cc0-9396-c32185c08b19 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training V-STaR: Training Verifiers for Self-Taught Reasoners
Reference 12
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Observation 02eb302f-a275-47bb-a55e-eeeb33530590 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen - Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen
Reference 13
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Observation 0573bae5-1f12-4cf5-bfb5-eb62573307aa · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Huang, Wenxuan Zhou, Fei Wang, Fred Morstatter, Sheng Zhang, Hoifung Poon, and Muhao Chen
Reference 14
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6df1b769-c361-48cb-89dc-a0ddd3936064 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training GRACE: discriminator-guided chain-of-thought reasoning
Reference 15
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3621be0a-5760-4cd0-acf6-9e790bf65ca4 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Process reward models that think
Reference 16
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 3cf58925-69cf-438d-894e-8ad8100b90dc · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Tulu 3: Pushing Frontiers in Open Language Model Post-Training
Reference 17
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Observation 30810393-db81-491d-b1e5-367ac46a5321 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Fast inference from transformers via speculative decoding
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a2c1abac-b546-4a5d-91d8-a572085d039e · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training LLMs Can Easily Learn to Reason from Demonstrations Structure, not content, is what matters!
Reference 19
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Observation 9b47a880-1dc7-4fec-a121-dbaa9425df30 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Contrastive decoding: Open-ended text generation as optimization
Reference 20
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Observation c7e65240-89f6-420b-8825-cc760c589dcf · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Reward-Guided Speculative Decoding for Efficient LLM Reasoning
Reference 21
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Observation b3105c22-e2b1-4ff2-92fc-b78830b46e74 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Let's verify step by step
Reference 22
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Observation f5267fe8-49f1-4b47-b047-d02ad14612b3 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Smith, and Yejin Choi
Reference 23
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Observation 48185574-370d-49dd-8c9f-6ea8dab5867c · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Tuning Language Models by Proxy
Reference 24
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Observation d1c89f52-4375-4116-8259-c195484abd60 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Understanding R1-Zero-Like Training: A Critical Perspective
Reference 25
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Observation de81d482-37a6-48e5-a4fc-1cd76d878270 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Tang, Manan Roongta, Colin Cai, Jeffrey Luo, Li Erran Li, Raluca Ada Popa, and Ion Stoica
Reference 26
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 6cfea145-9d9b-4e0e-807a-7a4f0c3969ac · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unresolved cited work
Reference 27
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4e47f8da-12a8-42af-b74d-bf6a60355d36 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training s1: Simple test-time scaling
Reference 28
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Observation 08f789f8-0a12-4fc8-b284-41784ef7ce7c · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Learning to reason with LLMs , September 2024
Reference 29
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation a6b54b39-9210-4384-ac66-08f1b3aa6d00 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training OpenAI o3 and o4-mini System Card
Reference 30
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 4c76ae28-7628-4c96-a283-74aff655653e · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Comblm: Adapting black-box language models through small fine-tuned models
Reference 31
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 840be525-fc0a-4339-8be2-f5cfaa0a7ec1 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwen3: Think Deeper, Act Faster | Qwen , April 2025
Reference 32
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 310ce96a-aba3-4598-a222-1e967718ed69 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Manning, Stefano Ermon, and Chelsea Finn
Reference 33
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Observation 3b16074f-bd1c-418b-9eb6-a96d2e40d9a3 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models
Reference 34
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Observation f117e112-6122-43f6-a1cb-58c24846e449 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Trusting your evidence: Hallucinate less with context-aware decoding
Reference 35
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Observation 86ee16f0-2eb0-4833-9c2c-61f33e7445a3 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters
Reference 36
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Observation 52fc4979-7cf7-4065-99ee-5faba847a214 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unlocking General Long Chain-of-Thought Reasoning Capabilities of Large Language Models via Representation Engineering
Reference 37
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Observation dab5bc7a-86df-4001-a0f0-1f33cda3ed40 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwq-32b: Embracing the power of reinforcement learning, March 2025
Reference 38
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Observation 7a204399-44e7-4aee-bac5-befa0570377e · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Gram: A generative foundation reward model for reward generalization
Reference 39
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Observation 4d807b13-d1dd-4180-8de4-03d264afaa1a · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Math-shepherd: Verify and reinforce llms step-by-step without human annotations
Reference 40
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Observation 0a44f2d9-2071-4928-8e47-1f899fa880d6 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Chain-of-thought reasoning without prompting
Reference 41
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 5feaae47-f273-4fef-a58b-f96b94a4dbb5 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Le, Ed H
Reference 42
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation 2516df83-9dad-4a49-b11f-032b8b455817 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Reinforcement Learning for Reasoning in Large Language Models with One Training Example
Reference 43
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Observation 2528988e-4912-4c24-8b27-f7042a856eb2 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Chi, Quoc V
Reference 44
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Observation 7e621c17-b2d2-44fd-866a-9e7f7dd2ef07 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Self-evaluation guided beam search for reasoning
Reference 45
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation b8cd5682-e691-4445-a0c9-5039ab6d027c · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training RedStar: Does Scaling Long-CoT Data Unlock Better Slow-Reasoning Systems?
Reference 46
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Observation 1a7c90e7-3566-4dcf-b080-56aefd0a6be4 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwen2.5 Technical Report
Reference 47
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Observation 5f69db3d-332f-4eee-8f94-050a76d6dc61 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement
Reference 48
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Observation 7d94f4e8-e7dc-4d79-a4e4-9fb7ed4b21c4 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Speculative Thinking: Enhancing Small-Model Reasoning with Large Model Guidance at Inference Time
Reference 49
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Observation 1d121914-4e0e-4a78-b5b5-dce25e4aa682 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training LIMO: Less is More for Reasoning
Reference 50
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Observation b8b882c6-825e-46c9-b0d5-87a17175121c · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training DAPO: An Open-Source LLM Reinforcement Learning System at Scale
Reference 51
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Observation dc8ecd4c-f1e4-4f32-823c-db3c9e3cf9c6 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?
Reference 52
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Unavailable: canonical work link unavailable.
Observation 4b1d8fbd-71c1-478d-9eeb-d4041f9c5445 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?
Reference 53
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Observation 4f63ac81-53f5-45a3-b5dd-0df1df80a4c0 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Generative verifiers: Reward modeling as next-token prediction
Reference 54
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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.
Observation db22c645-3a9d-4449-ae2f-e80f46d7454a · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Small language models need strong verifiers to self-correct reasoning
Reference 55
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Observation 2687ee65-1b68-46c1-91c9-905b049d5d40 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Weak-to-Strong Jailbreaking on Large Language Models
Reference 56
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Observation 35d16542-ddcf-4da5-ab10-74fa647dbe5e · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Activation Control for Efficiently Eliciting Long Chain-of-thought Ability of Language Models
Reference 57
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Observation 8a7f6206-36ff-4e1b-905e-4c83ef8e8ff2 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Representation Engineering: A Top-Down Approach to AI Transparency
Reference 58
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Observation a1851c04-4c34-4986-ba23-3b96d3de57a1 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training write newline
Reference 59
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Observation dde975b2-07f5-4502-ab2f-bc6bc3920c34 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training @esa (Ref
Reference 60
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Observation ae5ffced-7fb6-493b-ab02-3f51676a415a · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unresolved cited work
Reference 61
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Observation c720fe2c-13ba-4858-bcc3-25f0e614f163 · outbound
Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unresolved cited work
Reference 62
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Observation 3832b309-32bc-404f-8095-26e1c51ab8a8 · inbound
Video Reasoning without Training Logit Arithmetic Elicits Long Reasoning Capabilities Without Training
Reference 44
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