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Paper Citation Record · LEDGER

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training

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.

pith.paper-citation-record.v1
2507.12759 v1

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:46:01.590792Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T09:12:10.059856Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

62 of 62 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved45
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 21997aab-3d1a-4cb8-b179-e2f83a94a126 · outbound

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

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Large Language Monkeys: Scaling Inference Compute with Repeated Sampling

Reference 1

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no resolver link, observed 2026-08-06T16:45:56.445386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:56.445386Z digest=sha256:fcbf27c1726227c73fbaadc5f8f49ad6e711978ae3fc4d4ca9e40422ff96548c

Observation f6c26582-69dd-4d78-b5a2-713aefe9aad1 · outbound

This paper cites Evaluating Large Language Models Trained on Code.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Evaluating Large Language Models Trained on Code

Reference 2

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no resolver link, observed 2026-08-06T16:45:56.493664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:56.493664Z digest=sha256:aad803a2fa7cad6be4b99a79a51bfea90acf3114df4865a4c4a17a461a528f53

Observation 12c0f1fe-df2f-42d6-a4e0-8ffaec5705d1 · outbound

This paper cites Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs.

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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no resolver link, observed 2026-08-06T16:45:56.582452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:56.582452Z digest=sha256:bd81462dda95d8753bbbcad404c7d70006d7804aab397d6d3e90fdd8ad8b8fd9

Observation de9cfe34-37b3-43fc-ab64-454abe207e69 · outbound

This paper cites Glass, and Pengcheng He.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Glass, and Pengcheng He

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:04.279684Z

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.

source=arxiv_source observed=2026-08-06T16:45:56.671514Z digest=sha256:9b2f8314a5c4d45486f9d055c4d174386c2d6d695ba7762a646d05f9022d9d3c

Observation a9939c19-8436-4e7b-b368-9e44db16b45e · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Training Verifiers to Solve Math Word Problems

Reference 5

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:56.752932Z digest=sha256:df5406cea25330a59ad812379aa7204dabc66c542b3def66a1db66dd1ba360cd

Observation 2c64b3b2-1519-44f8-8d23-cfdb3e01f7ff · outbound

This paper cites Reinforcement learning for reasoning in small llms: What works and what doesn't.

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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unresolved
no resolver link, observed 2026-08-06T16:45:56.817307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:56.817307Z digest=sha256:3620855ab50d19cf789d9c7e9d857677ae931e37a0d4124e1d97a37ccb3bb9dc

Observation 683c4a71-7ef6-48e9-b07e-7feec6730d36 · outbound

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

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 7

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unresolved
no resolver link, observed 2026-08-06T16:45:56.908594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:56.908594Z digest=sha256:1d07fcd4eeae880b63a645469c97a6f8d9083295bd5407b49f76d7af49844899

Observation 8f246712-f3af-47f5-9297-06a5801a5a63 · outbound

This paper cites On giant's shoulders: Effortless weak to strong by dynamic logits fusion.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training On giant's shoulders: Effortless weak to strong by dynamic logits fusion

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:04.110157Z

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.

source=arxiv_source observed=2026-08-06T16:45:56.978033Z digest=sha256:8f63749c7c2969ebf006d3236b7ad28c071f6aa6a29abd405ed6b5f94c06860e

Observation 72107da5-6899-40ae-b762-4edcbbd86c67 · outbound

This paper cites On giant's shoulders: Effortless weak to strong by dynamic logits fusion.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training On giant's shoulders: Effortless weak to strong by dynamic logits fusion

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:04.001284Z

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.

source=arxiv_source observed=2026-08-06T16:45:57.091755Z digest=sha256:460ad5ffe56643c5eaf3384b74b39aea13fdc5e84e64bfa69b4b9f08ee1ab42b

Observation 70215125-4178-4489-98dd-6b7077763c63 · outbound

This paper cites Cognitive Behaviors that Enable Self-Improving Reasoners, or, Four Habits of Highly Effective STaRs.

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:57.160987Z digest=sha256:8b6bfa8c39c0ab5d1017ed4993dc10d0c88c222aef0e5848797f242706e7b946

Observation 9b39ac8c-3f01-4e6e-a3fb-269e31ca2629 · outbound

This paper cites Measuring mathematical problem solving with the MATH dataset.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Measuring mathematical problem solving with the MATH dataset

Reference 11

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:57.244757Z digest=sha256:51d11f680a94a4105dc2d2a92beed7b3d671e606b118b68eef805517b74fcfcd

Observation f2f772cb-6146-4cc0-9396-c32185c08b19 · outbound

This paper cites V-STaR: Training Verifiers for Self-Taught Reasoners.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training V-STaR: Training Verifiers for Self-Taught Reasoners

Reference 12

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unresolved
no resolver link, observed 2026-08-06T16:45:57.308861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:57.308861Z digest=sha256:6cf327627bf158a7c18b5e0bee579d456b7846ad554cb123debeb4eaf25eb23e

Observation 02eb302f-a275-47bb-a55e-eeeb33530590 · outbound

This paper cites Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen - Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen.

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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unresolved
no resolver link, observed 2026-08-06T16:45:57.397518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:57.397518Z digest=sha256:532f879729ad03b6bd74d0d5ca0311e0d4ec50fa23806eabf093038b35ceec0e

Observation 0573bae5-1f12-4cf5-bfb5-eb62573307aa · outbound

This paper cites Huang, Wenxuan Zhou, Fei Wang, Fred Morstatter, Sheng Zhang, Hoifung Poon, and Muhao Chen.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Huang, Wenxuan Zhou, Fei Wang, Fred Morstatter, Sheng Zhang, Hoifung Poon, and Muhao Chen

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:03.887735Z

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.

source=arxiv_source observed=2026-08-06T16:45:57.492658Z digest=sha256:d9a9d6f052782364ddddde2ce5c53993922b6c912491a66169cce843d0920c1b

Observation 6df1b769-c361-48cb-89dc-a0ddd3936064 · outbound

This paper cites GRACE: discriminator-guided chain-of-thought reasoning.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training GRACE: discriminator-guided chain-of-thought reasoning

Reference 15

Resolution
verified exact
doi, observed 2026-08-06T16:46:02.242062Z

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.

source=arxiv_source observed=2026-08-06T16:45:57.588142Z digest=sha256:efe071b4ce332e5d03cdadb732bf57a6cd88c45fcc35815bca014fd550fc1ccc

Observation 3621be0a-5760-4cd0-acf6-9e790bf65ca4 · outbound

This paper cites Process reward models that think.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Process reward models that think

Reference 16

Resolution
verified exact
doi, observed 2026-08-06T16:46:02.097358Z

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.

source=arxiv_source observed=2026-08-06T16:45:57.681278Z digest=sha256:d6afa83fee3ccd3410267376a352b8daa0f7275857e48525c3b0bde7377472f1

Observation 3cf58925-69cf-438d-894e-8ad8100b90dc · outbound

This paper cites Tulu 3: Pushing Frontiers in Open Language Model Post-Training.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Tulu 3: Pushing Frontiers in Open Language Model Post-Training

Reference 17

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no resolver link, observed 2026-08-06T16:45:57.751295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:57.751295Z digest=sha256:959cdcb941210124165e2601946e0352dca20f313dc1c4cc98ab33cbf94c1d0e

Observation 30810393-db81-491d-b1e5-367ac46a5321 · outbound

This paper cites Fast inference from transformers via speculative decoding.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Fast inference from transformers via speculative decoding

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:03.730256Z

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.

source=arxiv_source observed=2026-08-06T16:45:57.833649Z digest=sha256:b4e1ce10e35d37f87c086456eb5bb935f136b00d98c4b35ef10b53acc9c4c1ea

Observation a2c1abac-b546-4a5d-91d8-a572085d039e · outbound

This paper cites LLMs Can Easily Learn to Reason from Demonstrations Structure, not content, is what matters!.

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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no resolver link, observed 2026-08-06T16:45:57.928076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:57.928076Z digest=sha256:9694f40ecfe0c464ff50fd601d905eaaaba013e981f8c9e3cc21619bb507c523

Observation 9b47a880-1dc7-4fec-a121-dbaa9425df30 · outbound

This paper cites Contrastive decoding: Open-ended text generation as optimization.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Contrastive decoding: Open-ended text generation as optimization

Reference 20

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malformed identifier
no resolver link, observed 2026-08-06T16:45:58.052123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.052123Z digest=sha256:f10dcf439df6b7a1c388d6cd78056dd6a97ce3b05f8832b5f6bea84f3e4938ff

Observation c7e65240-89f6-420b-8825-cc760c589dcf · outbound

This paper cites Reward-Guided Speculative Decoding for Efficient LLM Reasoning.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Reward-Guided Speculative Decoding for Efficient LLM Reasoning

Reference 21

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unresolved
no resolver link, observed 2026-08-06T16:45:58.173827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.173827Z digest=sha256:827a1b79a82fa26f0868bfe9822fb3695644368ba7cad17b0daa4d6be9ec238b

Observation b3105c22-e2b1-4ff2-92fc-b78830b46e74 · outbound

This paper cites Let's verify step by step.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Let's verify step by step

Reference 22

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no resolver link, observed 2026-08-06T16:45:58.268945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.268945Z digest=sha256:7cceaddfd47c2f7fad24b3ae35f9f4bb2e2700c22b9ff880234d90f74dd81426

Observation f5267fe8-49f1-4b47-b047-d02ad14612b3 · outbound

This paper cites Smith, and Yejin Choi.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Smith, and Yejin Choi

Reference 23

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no resolver link, observed 2026-08-06T16:45:58.360990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.360990Z digest=sha256:ea19dd8d8c5a72a5957e92931383d37e7c492cb7fb5fc9357628a5202b61dc8a

Observation 48185574-370d-49dd-8c9f-6ea8dab5867c · outbound

This paper cites Tuning Language Models by Proxy.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Tuning Language Models by Proxy

Reference 24

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unresolved
no resolver link, observed 2026-08-06T16:45:58.459933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.459933Z digest=sha256:54db9d2d1466de4ba93f25e4b3ca947f1e9c669c8f6d3a762b6f59b57dda648b

Observation d1c89f52-4375-4116-8259-c195484abd60 · outbound

This paper cites Understanding R1-Zero-Like Training: A Critical Perspective.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Understanding R1-Zero-Like Training: A Critical Perspective

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T16:45:58.575606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.575606Z digest=sha256:eceb4fcf586d134e50a94bb252142e2eee90a2933249ffcf8918097bb173e5bb

Observation de81d482-37a6-48e5-a4fc-1cd76d878270 · outbound

This paper cites Tang, Manan Roongta, Colin Cai, Jeffrey Luo, Li Erran Li, Raluca Ada Popa, and Ion Stoica.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:03.615685Z

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.

source=arxiv_source observed=2026-08-06T16:45:58.670703Z digest=sha256:d6673e18b5ae7b8d66fb9a4266869b89b346cb8aa5264ebce0a349842dc78aae

Observation 6cfea145-9d9b-4e0e-807a-7a4f0c3969ac · outbound

This paper cites an unresolved cited work.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unresolved cited work

Reference 27

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unresolved
raw_fallback, observed 2026-08-06T16:46:03.498018Z

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.

source=arxiv_source observed=2026-08-06T16:45:58.747530Z digest=sha256:cab8ec134422ef4a96bf6d849dd0a08d77369d2b576700c5ec242444cafabf38

Observation 4e47f8da-12a8-42af-b74d-bf6a60355d36 · outbound

This paper cites s1: Simple test-time scaling.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training s1: Simple test-time scaling

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T16:45:58.836736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:58.836736Z digest=sha256:d0d3bd8e273703c83144aa7872291b1917cc561823ba0fa2db716ef1fc005e6c

Observation 08f789f8-0a12-4fc8-b284-41784ef7ce7c · outbound

This paper cites Learning to reason with LLMs , September 2024.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Learning to reason with LLMs , September 2024

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:03.388308Z

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.

source=arxiv_source observed=2026-08-06T16:45:58.904810Z digest=sha256:e62822433ba05191e67bb7cb25f22e863d74552cf5282d7db897bf754ae7a43b

Observation a6b54b39-9210-4384-ac66-08f1b3aa6d00 · outbound

This paper cites OpenAI o3 and o4-mini System Card.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training OpenAI o3 and o4-mini System Card

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:03.272016Z

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.

source=arxiv_source observed=2026-08-06T16:45:59.004718Z digest=sha256:9e745b5bf7fbbfc68f831bab3494068625699e91823b95dee9f2e4383857832b

Observation 4c76ae28-7628-4c96-a283-74aff655653e · outbound

This paper cites Comblm: Adapting black-box language models through small fine-tuned models.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Comblm: Adapting black-box language models through small fine-tuned models

Reference 31

Resolution
verified exact
doi, observed 2026-08-06T16:46:01.825336Z

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.

source=arxiv_source observed=2026-08-06T16:45:59.088869Z digest=sha256:7d0079dc0ad889ce06dcd9d31f379c7dfc0b951efe8cb10f392b39fc829e1ba4

Observation 840be525-fc0a-4339-8be2-f5cfaa0a7ec1 · outbound

This paper cites Qwen3: Think Deeper, Act Faster | Qwen , April 2025.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwen3: Think Deeper, Act Faster | Qwen , April 2025

Reference 32

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verified fuzzy
raw_fallback, observed 2026-08-06T16:46:03.125136Z

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.

source=arxiv_source observed=2026-08-06T16:45:59.154950Z digest=sha256:ed4471cd3b0f60f1c94f2f6a18c870508eef3bba1c6a929504d42c1d4d1212b2

Observation 310ce96a-aba3-4598-a222-1e967718ed69 · outbound

This paper cites Manning, Stefano Ermon, and Chelsea Finn.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Manning, Stefano Ermon, and Chelsea Finn

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-06T16:45:59.275958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.275958Z digest=sha256:6cf104e302d31da9070218b94ee0cf30f6b2cef69f036fc8da28ef04a6972e07

Observation 3b16074f-bd1c-418b-9eb6-a96d2e40d9a3 · outbound

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

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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unresolved
no resolver link, observed 2026-08-06T16:45:59.339469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.339469Z digest=sha256:1c25f0a7c859ab7f30126448f5ebe25285927c243d2e245c3ce7df514c93da3c

Observation f117e112-6122-43f6-a1cb-58c24846e449 · outbound

This paper cites Trusting your evidence: Hallucinate less with context-aware decoding.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Trusting your evidence: Hallucinate less with context-aware decoding

Reference 35

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unresolved
no resolver link, observed 2026-08-06T16:45:59.448540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.448540Z digest=sha256:f97cb12d8bf94853a0d847bd222364b622732591133aac850d1e7e143860de53

Observation 86ee16f0-2eb0-4833-9c2c-61f33e7445a3 · outbound

This paper cites Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters.

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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unresolved
no resolver link, observed 2026-08-06T16:45:59.557416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.557416Z digest=sha256:56412c1f7e7cf410cb8a6b2fb4bfe3adc825e131a17ddeb92d5e7648434e4cbf

Observation 52fc4979-7cf7-4065-99ee-5faba847a214 · outbound

This paper cites Unlocking General Long Chain-of-Thought Reasoning Capabilities of Large Language Models via Representation Engineering.

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.645017Z digest=sha256:62d2de3919e24286124cab5c8988a5fd7783680ff99ea2e270cf39ed3783b803

Observation dab5bc7a-86df-4001-a0f0-1f33cda3ed40 · outbound

This paper cites Qwq-32b: Embracing the power of reinforcement learning, March 2025.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwq-32b: Embracing the power of reinforcement learning, March 2025

Reference 38

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.731670Z digest=sha256:5d86cc4d5cd6bce06a8d83f26b7b910cb7cba45f4e70d1bb6b9d9a69bffbd3db

Observation 7a204399-44e7-4aee-bac5-befa0570377e · outbound

This paper cites Gram: A generative foundation reward model for reward generalization.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Gram: A generative foundation reward model for reward generalization

Reference 39

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no resolver link, observed 2026-08-06T16:45:59.800747Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-06T16:45:59.800747Z digest=sha256:975b9dbc0bd209af505df68ebbcb4b4556765e7b8eff71232bf1e06f2eaad821

Observation 4d807b13-d1dd-4180-8de4-03d264afaa1a · outbound

This paper cites Math-shepherd: Verify and reinforce llms step-by-step without human annotations.

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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no resolver link, observed 2026-08-06T16:45:59.879033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:45:59.879033Z digest=sha256:33950a184d8f10adbfa27fded14ea4b6053844af32160abda2519559c72e5408

Observation 0a44f2d9-2071-4928-8e47-1f899fa880d6 · outbound

This paper cites Chain-of-thought reasoning without prompting.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Chain-of-thought reasoning without prompting

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:02.991227Z

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.

source=arxiv_source observed=2026-08-06T16:45:59.973845Z digest=sha256:c3a9cbb9fff84a0006096a1cddc700f14b79f95257f6c4799fffaa41f7e5cb69

Observation 5feaae47-f273-4fef-a58b-f96b94a4dbb5 · outbound

This paper cites Le, Ed H.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Le, Ed H

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:02.845097Z

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.

source=arxiv_source observed=2026-08-06T16:46:00.066822Z digest=sha256:4cece8c8ef0f4e5aebc1f99f15a4d7a70a342b400120a8d59d8d66a1d03eb3f5

Observation 2516df83-9dad-4a49-b11f-032b8b455817 · outbound

This paper cites Reinforcement Learning for Reasoning in Large Language Models with One Training Example.

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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no resolver link, observed 2026-08-06T16:46:00.145099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.145099Z digest=sha256:c25c48699612a9cabb79efad36b9c3ea66b84db078abd790d7fb0a5d4b83df28

Observation 2528988e-4912-4c24-8b27-f7042a856eb2 · outbound

This paper cites Chi, Quoc V.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Chi, Quoc V

Reference 44

Resolution
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no resolver link, observed 2026-08-06T16:46:00.198876Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-06T16:46:00.198876Z digest=sha256:1ef2176ae9817d04bfc4beb6d5c430dde749350da1eb861e0c41baf19e2d6060

Observation 7e621c17-b2d2-44fd-866a-9e7f7dd2ef07 · outbound

This paper cites Self-evaluation guided beam search for reasoning.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Self-evaluation guided beam search for reasoning

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:02.724881Z

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.

source=arxiv_source observed=2026-08-06T16:46:00.278181Z digest=sha256:c84ba4da7b1a949f035e85dfbd0af4abf7a911fca2b4dcf39d2b0aa5c366f6ca

Observation b8cd5682-e691-4445-a0c9-5039ab6d027c · outbound

This paper cites RedStar: Does Scaling Long-CoT Data Unlock Better Slow-Reasoning Systems?.

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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no resolver link, observed 2026-08-06T16:46:00.345444Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.345444Z digest=sha256:867d0e52ba777d7a794e72e36694f14be4d86dd0452fb536adf1248750017587

Observation 1a7c90e7-3566-4dcf-b080-56aefd0a6be4 · outbound

This paper cites Qwen2.5 Technical Report.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwen2.5 Technical Report

Reference 47

Resolution
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no resolver link, observed 2026-08-06T16:46:00.453742Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-06T16:46:00.453742Z digest=sha256:c1e16bca87e8771d4bdd1014d61b3b7624ddcc2bc5c1478eb1c1f3ec97e13ff3

Observation 5f69db3d-332f-4eee-8f94-050a76d6dc61 · outbound

This paper cites Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

Reference 48

Resolution
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no resolver link, observed 2026-08-06T16:46:00.536206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.536206Z digest=sha256:bda0c2ff449911400916d78a77945ba05104bbb420a8386690f82dfe4b0a5165

Observation 7d94f4e8-e7dc-4d79-a4e4-9fb7ed4b21c4 · outbound

This paper cites Speculative Thinking: Enhancing Small-Model Reasoning with Large Model Guidance at Inference Time.

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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no resolver link, observed 2026-08-06T16:46:00.618572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.618572Z digest=sha256:bc88c1793a5f904ba5342e6b41bbd32eb009d161c379d5a54d8a96de547bbdf7

Observation 1d121914-4e0e-4a78-b5b5-dce25e4aa682 · outbound

This paper cites LIMO: Less is More for Reasoning.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training LIMO: Less is More for Reasoning

Reference 50

Resolution
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no resolver link, observed 2026-08-06T16:46:00.686246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.686246Z digest=sha256:8debfb5ec1025b1fb322729a61a09a32c8c9a5884cdbb7fe03213a151269c8b1

Observation b8b882c6-825e-46c9-b0d5-87a17175121c · outbound

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

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training DAPO: An Open-Source LLM Reinforcement Learning System at Scale

Reference 51

Resolution
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no resolver link, observed 2026-08-06T16:46:00.730849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.730849Z digest=sha256:3d3f70c91aae8a2c543dd1ea1c9725766a382a7aa8c770448460837abd010982

Observation dc8ecd4c-f1e4-4f32-823c-db3c9e3cf9c6 · outbound

This paper cites Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?

Reference 52

Resolution
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no resolver link, observed 2026-08-06T16:46:00.822409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.822409Z digest=sha256:b6bff8c0ee17b3eb313864f9017a8d4a6c23f347553755a71cfb5a152653e665

Observation 4b1d8fbd-71c1-478d-9eeb-d4041f9c5445 · outbound

This paper cites Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Does Reinforcement Learning Really Incentivize Reasoning Capacity in LLMs Beyond the Base Model?

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:00.912514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:00.912514Z digest=sha256:22877d95d0f0f945e80647b5ccf6156f23090123e0110238d11cdb1ab5685954

Observation 4f63ac81-53f5-45a3-b5dd-0df1df80a4c0 · outbound

This paper cites Generative verifiers: Reward modeling as next-token prediction.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Generative verifiers: Reward modeling as next-token prediction

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T16:46:02.603535Z

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.

source=arxiv_source observed=2026-08-06T16:46:00.984525Z digest=sha256:8435332aaf210a66ad800754125ec4f1fd65d21b1d510a89500fe7697d9e9c4b

Observation db22c645-3a9d-4449-ae2f-e80f46d7454a · outbound

This paper cites Small language models need strong verifiers to self-correct reasoning.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Small language models need strong verifiers to self-correct reasoning

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:01.063828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.063828Z digest=sha256:c571f46789857adcf49afebbade0529ecbe787802ae6cb103303541bdcf077fc

Observation 2687ee65-1b68-46c1-91c9-905b049d5d40 · outbound

This paper cites Weak-to-Strong Jailbreaking on Large Language Models.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Weak-to-Strong Jailbreaking on Large Language Models

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:01.155732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.155732Z digest=sha256:9e42b3caabe8ecc2f5d533018ff4e63360c18b018b020a10dc3205531ae73084

Observation 35d16542-ddcf-4da5-ab10-74fa647dbe5e · outbound

This paper cites Activation Control for Efficiently Eliciting Long Chain-of-thought Ability of Language Models.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Activation Control for Efficiently Eliciting Long Chain-of-thought Ability of Language Models

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:01.206824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.206824Z digest=sha256:c04705ea7f483984a3c9095253ee88219f0165bfd4bae795ca2a1a4c892b4947

Observation 8a7f6206-36ff-4e1b-905e-4c83ef8e8ff2 · outbound

This paper cites Representation Engineering: A Top-Down Approach to AI Transparency.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Representation Engineering: A Top-Down Approach to AI Transparency

Reference 58

Resolution
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no resolver link, observed 2026-08-06T16:46:01.298001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.298001Z digest=sha256:9842c8484fc937bcc2077dcbdf9d868d81569db5975a991f7084196aa4e2e3ac

Observation a1851c04-4c34-4986-ba23-3b96d3de57a1 · outbound

This paper cites write newline.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training write newline

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:01.378453Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.378453Z digest=sha256:e55036426f980a8391a8d133e2ff6e6baf606ce6c3c6b0ccf42f8cc814b6d376

Observation dde975b2-07f5-4502-ab2f-bc6bc3920c34 · outbound

This paper cites @esa (Ref.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training @esa (Ref

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:01.466254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.466254Z digest=sha256:027fe31d7006b7a5b4f88e5351fb87154d9a5a0c50eda01e155966b895d1dd49

Observation ae5ffced-7fb6-493b-ab02-3f51676a415a · outbound

This paper cites an unresolved cited work.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unresolved cited work

Reference 61

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no resolver link, observed 2026-08-06T16:46:01.530230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.530230Z digest=sha256:7c4d9ffdcdc0d6e8965f58582d783373ababf8649cdedc60a4af7f584ba6582f

Observation c720fe2c-13ba-4858-bcc3-25f0e614f163 · outbound

This paper cites an unresolved cited work.

Logit Arithmetic Elicits Long Reasoning Capabilities Without Training Unresolved cited work

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-06T16:46:01.590792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T16:46:01.590792Z digest=sha256:72192d1a1362525a3cab84a25ed38adc64e0d5359ee2bc98d18c98037fbe3d54

Pith citing papers

Observation 3832b309-32bc-404f-8095-26e1c51ab8a8 · inbound

Video Reasoning without Training cites this paper.

Video Reasoning without Training Logit Arithmetic Elicits Long Reasoning Capabilities Without Training

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-04T09:12:10.059856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T09:12:10.059856Z digest=sha256:d78e71c71d019153432a5c2980750e6d2d73c2a2f060ce90a2f07e0d4370716a