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Paper Citation Record · LEDGER

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2505.15276.

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

pith.paper-citation-record.v1
2505.15276 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:25:48.530304Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:54:18.134126Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:54:18.275368Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved29
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2dda9f82-5159-478a-ae2d-f3c3c17c6ce3 · outbound

This paper cites online" 'onlinestring :=.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning online" 'onlinestring :=

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T15:25:46.895611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:46.895611Z digest=sha256:7728af4b361beaff6d1227c84d62551e709d0c1a1b329cd378ee691834595b1a

Observation 7158a73c-ebe4-45e1-93b2-be49ce94950e · outbound

This paper cites write newline.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning write newline

Reference 2

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unresolved
no resolver link, observed 2026-08-07T15:25:46.969543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:46.969543Z digest=sha256:70493cb9442c4711e8d57e55c87b460234d3d556f8ee995ed3cff06dbf5fc282

Observation 48c4bc4c-40b1-44be-b2ad-630f09d1fb9c · outbound

This paper cites L1: Controlling How Long A Reasoning Model Thinks With Reinforcement Learning.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning L1: Controlling How Long A Reasoning Model Thinks With Reinforcement Learning

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T15:25:47.031959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.031959Z digest=sha256:ae9e034dbbea97f3a5f6b69795aa67c25479f44adcb82101f41db82aedb53e1e

Observation 5b9c94d2-0d15-47b6-8e69-c531f8a9a3e7 · outbound

This paper cites Mathify: Evaluating Large Language Models on Mathematical Problem Solving Tasks.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Mathify: Evaluating Large Language Models on Mathematical Problem Solving Tasks

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T15:25:49.048617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.084141Z digest=sha256:3a827e4b4fc446617e56076a9a5252877911ed34c9a230aba495f134db121470

Observation 20e7d7f3-19c8-4d16-9ee3-bb473ff2a0bf · outbound

This paper cites Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Towards Reasoning Era: A Survey of Long Chain-of-Thought for Reasoning Large Language Models

Reference 5

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unresolved
no resolver link, observed 2026-08-07T15:25:47.124956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.124956Z digest=sha256:c3586f5330e85695f464a521513b38d7e975a9dce21a0d26fb7ab71d75a9d645

Observation e382bb8b-1608-4342-8047-fb596c48d096 · outbound

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

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Do NOT Think That Much for 2+3=? On the Overthinking of o1-Like LLMs

Reference 6

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no resolver link, observed 2026-08-07T15:25:47.164256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.164256Z digest=sha256:d36231e4f092af44faef366f3a39f988121073f0493192781a444ec308774292

Observation d2310bac-7a86-408e-8d27-06de66e977c8 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Training Verifiers to Solve Math Word Problems

Reference 7

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unresolved
no resolver link, observed 2026-08-07T15:25:47.232594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.232594Z digest=sha256:22bffca3fa85932ed47aab3bff0e2b026ef6885c133200f5d39e4c63cf8cd4da

Observation 15a6e827-8ae6-4fef-8909-da8cdff998a2 · outbound

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

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 8

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no resolver link, observed 2026-08-07T15:25:47.288878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.288878Z digest=sha256:23100189b25eafc7c2ced17fa6e4ca951836d072264993f4a76ab486350e4891

Observation aca8fdb3-7bbe-4418-8bd1-be865449d35b · outbound

This paper cites DeepSeek-V3 Technical Report.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning DeepSeek-V3 Technical Report

Reference 9

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no resolver link, observed 2026-08-07T15:25:47.342960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.342960Z digest=sha256:1f9bf53ccd768b22f9499e136ba5a287196363bfaeb095eb70f4c9871374e510

Observation b712f6aa-865f-473d-9a73-b63fa25cb259 · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:25:49.712232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.387800Z digest=sha256:d7a5c91f69b264fa003d308f653a0a1b1a29b8a5a1301d02f78f45d0f3f7c2dd

Observation 50be68a5-40f7-4b38-9608-f33181707c9f · outbound

This paper cites Token-Budget-Aware LLM Reasoning.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Token-Budget-Aware LLM Reasoning

Reference 11

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no resolver link, observed 2026-08-07T15:25:47.430493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.430493Z digest=sha256:dad1e7ad3c450e776f9f76c015130568217f3d7534b7fa3522d766f92c277ff1

Observation 1129153e-f04f-4541-b2a7-011376510d2a · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:25:49.622337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.470838Z digest=sha256:ac4214805c88279c927975204d93268f822a6a63ad837825b462a002f061796f

Observation d9144f32-3f6a-4124-be0e-a342cd2fc897 · outbound

This paper cites u ttler, Mike Lewis, Wen - tau Yih, Tim Rockt \.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning u ttler, Mike Lewis, Wen - tau Yih, Tim Rockt \

Reference 13

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verified fuzzy
raw_fallback, observed 2026-08-07T15:25:49.536008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.538867Z digest=sha256:597bb2d82411eedec52dd5b47e89b031099110bacbbc00d54811dca35113ce84

Observation 0f55d79f-5fa8-49ea-ac05-5c2d547af32e · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 14

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unresolved
no resolver link, observed 2026-08-07T15:25:47.589088Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.589088Z digest=sha256:9068413e0f9422c7f93334507a5ae76886d4617832c49cb63c27ba2922d0b9ec

Observation 2e861286-df0e-46ba-81ff-33c224f1fb8b · outbound

This paper cites Thought Manipulation: External Thought Can Be Efficient for Large Reasoning Models.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Thought Manipulation: External Thought Can Be Efficient for Large Reasoning Models

Reference 15

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unresolved
no resolver link, observed 2026-08-07T15:25:47.648989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.648989Z digest=sha256:63a249b1d74183a1c0f08113a63e13fc7370365f8423dcbc7ec5d64a1e8db091

Observation 0f19dfa3-fc17-4a23-a171-8e08ee6f2f17 · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 16

Resolution
verified exact
doi, observed 2026-08-07T15:25:48.887165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.700787Z digest=sha256:d36a10b36bd879a8b6e18288c053cd676287f0cc23a1eb8e17e3a64bda581528

Observation ed311d06-cbb6-4948-85d6-d3ed102d0f6a · outbound

This paper cites Reasoning Models Can Be Effective Without Thinking.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Reasoning Models Can Be Effective Without Thinking

Reference 17

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unresolved
no resolver link, observed 2026-08-07T15:25:47.751542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.751542Z digest=sha256:f956f135976285fe9fa032c7d36d507e99b1f0921359efa1da5ca85b375a917c

Observation 3bb919ec-520d-4399-9a11-2bcc38e7ad96 · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 18

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unresolved
raw_fallback, observed 2026-08-07T15:25:49.433158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.798910Z digest=sha256:b742059f598d54c49d4add66e11a5cfe238cbd7907d38ad1e3ee23f40146d5a0

Observation 01a15e2f-0756-49a4-82f8-488e8436cf95 · outbound

This paper cites s1: Simple test-time scaling.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning s1: Simple test-time scaling

Reference 19

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no resolver link, observed 2026-08-07T15:25:47.857077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.857077Z digest=sha256:1d135637522af71b99b6c3d3085c7771bca8cb09871dc8767d59056402d96a25

Observation 48de6ff9-a166-4975-9094-d89072981ec9 · outbound

This paper cites GPT-4 Technical Report.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning GPT-4 Technical Report

Reference 20

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no resolver link, observed 2026-08-07T15:25:47.902365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:47.902365Z digest=sha256:6a393ac14fc66bb504f9c038615ae761498757ccf1d4d6a74b14d97411713b26

Observation 217a0895-3f8b-4188-b848-6c89f635a91b · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 21

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unresolved
raw_fallback, observed 2026-08-07T15:25:49.344098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:47.974474Z digest=sha256:e88e082d5b5894a3a7cf8d3a33b8866c2ced7da2ffe2040b468dd01317447773

Observation 9862e8ad-de5e-4de1-a60f-572ecbcd0629 · outbound

This paper cites The Ultimate Guide to Fine-Tuning LLMs from Basics to Breakthroughs: An Exhaustive Review of Technologies, Research, Best Practices, Applied Research Challenges and Opportunities.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning The Ultimate Guide to Fine-Tuning LLMs from Basics to Breakthroughs: An Exhaustive Review of Technologies, Research, Best Practices, Applied Research Challenges and Opportunities

Reference 22

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unresolved
no resolver link, observed 2026-08-07T15:25:48.017209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.017209Z digest=sha256:775bb5ce6f24c81027d793e0e43db6c6766a54fb8ca0cd566ca8a5ec1540b2b6

Observation 67d9088e-a32b-4723-8867-4a9ef489ad46 · outbound

This paper cites Optimizing Test-Time Compute via Meta Reinforcement Fine-Tuning.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Optimizing Test-Time Compute via Meta Reinforcement Fine-Tuning

Reference 23

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unresolved
no resolver link, observed 2026-08-07T15:25:48.065006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.065006Z digest=sha256:1b7b87970caa6e1c6009c95bfe1fda7fb3a5c63c00d6384e65691fea03b96c62

Observation 7561e2aa-27b4-44ae-97ee-da057d68c799 · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:25:49.268275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-07T15:25:48.121522Z digest=sha256:1fa3078176f66a05af487cad8b16fe3e0d69dcd16c2b5c5f682a61fa845186bb

Observation 7efa5a83-f7f9-4d8a-bad1-05507801e2f3 · outbound

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

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters

Reference 25

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unresolved
no resolver link, observed 2026-08-07T15:25:48.190884Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.190884Z digest=sha256:38ebf7dd3206d1686d2019dd2bc43558cf05040f488b1522c90ad453ed930dd7

Observation 4229cc8a-6a5b-46c4-924d-13553699e247 · outbound

This paper cites Stop Overthinking: A Survey on Efficient Reasoning for Large Language Models.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Stop Overthinking: A Survey on Efficient Reasoning for Large Language Models

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T15:25:48.238572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.238572Z digest=sha256:9e77d80c4864cf6a9946025ac6d66a9e5c6d30907c56daa9febfa954458f3393

Observation 6bd0f2a5-b555-4c70-89d9-249b0936b9f7 · outbound

This paper cites Towards Large Reasoning Models: A Survey of Reinforced Reasoning with Large Language Models.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Towards Large Reasoning Models: A Survey of Reinforced Reasoning with Large Language Models

Reference 27

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unresolved
no resolver link, observed 2026-08-07T15:25:48.278659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.278659Z digest=sha256:b609053dfffe7b2b8481061033c9242619fe7f1bfe6564a9e475ba7f3ea20251

Observation 7c1fc73b-cab9-4220-824f-2ca048e0b9f2 · outbound

This paper cites Chain of Draft: Thinking Faster by Writing Less.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Chain of Draft: Thinking Faster by Writing Less

Reference 28

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unresolved
no resolver link, observed 2026-08-07T15:25:48.328140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.328140Z digest=sha256:9e4fe36f0dd5aebb89d042234822e91380a6e009357830bed626b07976604f0f

Observation 8d9baae8-3f74-49b6-9e3b-e98bbb963281 · outbound

This paper cites Qwen2.5 Technical Report.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Qwen2.5 Technical Report

Reference 29

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unresolved
no resolver link, observed 2026-08-07T15:25:48.388434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.388434Z digest=sha256:313e4a5d39cb88562a840f42d7578882299f92f12989387e1cb9d0846be65f12

Observation 692f2d51-8c57-4511-a186-f380d0fa49ab · outbound

This paper cites an unresolved cited work.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Unresolved cited work

Reference 30

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unresolved
no resolver link, observed 2026-08-07T15:25:48.424721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.424721Z digest=sha256:93d47fa209ddc4fcffbb452cd7ca65fa05e55f0f3a4b652e24ae0c7cf1f22b73

Observation dcd1c1ed-c3e5-479d-8543-210379586bcc · outbound

This paper cites A Survey of Large Language Models.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning A Survey of Large Language Models

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-07T15:25:48.470149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.470149Z digest=sha256:76be4beb1c5a023d77b32a24505fe4e9dd82c0aaf820b30e0608becda6fe7fbc

Observation be92d59c-6ca9-45bc-adec-d135ca8ce10f · outbound

This paper cites Mitigating Lost-in-Retrieval Problems in Retrieval Augmented Multi-Hop Question Answering.

When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning Mitigating Lost-in-Retrieval Problems in Retrieval Augmented Multi-Hop Question Answering

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T15:25:48.530304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T15:25:48.530304Z digest=sha256:f82c2e81d70532fd01f007980cbcd2022f1a557f3af46db73f36a979d532d727

Pith citing papers

Observation 94bc20c2-237f-467c-85ec-0ecb142c8c7d · inbound

Towards Concise and Adaptive Thinking in Large Reasoning Models: A Survey cites this paper.

Towards Concise and Adaptive Thinking in Large Reasoning Models: A Survey When Can Large Reasoning Models Save Thinking? Mechanistic Analysis of Behavioral Divergence in Reasoning

Reference 252

Resolution
verified exact
local_arxiv, observed 2026-08-06T17:54:18.282899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T17:54:18.134126Z digest=sha256:d309ae92e9c66026c63004a198e68a4ce19d2968164dc6e70ac68d5c153b0955