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Paper Citation Record · LEDGER

Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 26 inbound Pith citation observations for arXiv:2411.19943.

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

pith.paper-citation-record.v1
2411.19943 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 26 of 26 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:48:50.846271Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T01:14:27.537549Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 4dc331b4-4341-4494-8e12-08eb8254157a · inbound

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning cites this paper.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T12:48:50.846271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T12:48:50.846271Z digest=sha256:ba4417afacf1183480dc3569962b81e74eb068bea702f2414db2e7c540a99bd9

Observation 570faee5-66db-4c4e-812c-0e3a9d8f6b1c · inbound

Reinforcing Video Reasoning with Focused Thinking cites this paper.

Reinforcing Video Reasoning with Focused Thinking Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T12:22:12.794644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:22:12.794644Z digest=sha256:742bd7e4e91f7130836352db376901f8b0f4815307ffe24874bdedbc509fe7fb

Observation 8892f5b0-4655-4877-9ffb-5ba0cfa528ae · inbound

Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning cites this paper.

Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-12T12:12:08.896769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-12T12:12:08.724844Z digest=sha256:3b9de38925d43c03fb5e4ee69a2af3c63ae945c9b9d212b16ebcb8ca3c88bed7

Observation be8cfd95-abeb-4958-a511-bf33a06779c9 · inbound

Demystifying Reasoning Dynamics with Mutual Information: Thinking Tokens are Information Peaks in LLM Reasoning cites this paper.

Demystifying Reasoning Dynamics with Mutual Information: Thinking Tokens are Information Peaks in LLM Reasoning Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T11:19:46.616753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:19:46.616753Z digest=sha256:3b681f6e156c1f14a1827fb77fb903c953068d1b1be0e91ee072a27ad86dd231

Observation 926f0a81-4344-4a05-a07c-9d898abd7893 · inbound

RAST: Reasoning Activation in LLMs via Small-model Transfer cites this paper.

RAST: Reasoning Activation in LLMs via Small-model Transfer Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-07T12:19:55.541603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:19:55.541603Z digest=sha256:e5ae4fa3aa94728e39a3f8f6df308bc0d7d7e8134645239875fd1161d89f123a

Observation 51e30123-4810-4801-b43d-cf1aaf244086 · inbound

Attention Illuminates LLM Reasoning: The Preplan-and-Anchor Rhythm Enables Fine-Grained Policy Optimization cites this paper.

Attention Illuminates LLM Reasoning: The Preplan-and-Anchor Rhythm Enables Fine-Grained Policy Optimization Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-04T09:48:06.827395Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T09:48:06.827395Z digest=sha256:3c019f47cfc6c1acc1074e5be40615a69de5ca1320a9c1316407c35afd3c1168

Observation c5c76e98-2b08-4706-9725-3efa6118ceb1 · inbound

Embarrassingly Simple Self-Distillation Improves Code Generation cites this paper.

Embarrassingly Simple Self-Distillation Improves Code Generation Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 29

Resolution
unresolved
no resolver link, observed 2026-07-13T14:33:35.834383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T14:33:35.834383Z digest=sha256:d8ecd08233098a855d55a4b5357029893f02d72ed242096d2a51335e7dc77a40

Observation 60ebc9c1-3b5b-4a3f-9af1-27f1c10791db · inbound

AtManRL: Towards Faithful Reasoning via Differentiable Attention Saliency cites this paper.

AtManRL: Towards Faithful Reasoning via Differentiable Attention Saliency Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-10T08:22:37.719142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T08:08:50.330857Z digest=sha256:4ba7a8179d6c6f7c1c0fd6106cbfd35abd6d04b2122d6eb7e79e3cdc1500cf9e

Observation c373ab1f-1fda-41f9-993f-7c6d710cb6e6 · inbound

Select to Think: Unlocking SLM Potential with Local Sufficiency cites this paper.

Select to Think: Unlocking SLM Potential with Local Sufficiency Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-12T09:56:27.629689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-07T08:45:14.083901Z digest=sha256:51408791280cc50ccb384ce029f8932ca852ca366eae7a3ac0d6fa1c6007c833

Observation 4275dba6-da6f-4463-aef4-5c86ef9df97a · inbound

Select to Think: Unlocking SLM Potential with Local Sufficiency cites this paper.

Select to Think: Unlocking SLM Potential with Local Sufficiency Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-07-01T08:35:33.657546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-01T08:31:11.645634Z digest=sha256:2c537f5a96117f8f265638760d750ca6f1cfd18d9aff358fa22b4b17ef83cf49

Observation 129a9b1a-b312-4ae1-bb0f-4b6908089bc8 · inbound

When Are Experts Misrouted? Counterfactual Routing Analysis in Mixture-of-Experts Language Models cites this paper.

When Are Experts Misrouted? Counterfactual Routing Analysis in Mixture-of-Experts Language Models Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-11T01:50:51.040367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-11T01:50:40.158985Z digest=sha256:a5e0a10636466d48c075d1cd98e1cb79a00fcda2c2577a39e534bc909bd7ffe9

Observation 789b8bda-373b-47a3-8eb4-797ec833a81b · inbound

Your Language Model is Its Own Critic: Reinforcement Learning with Value Estimation from Actor's Internal States cites this paper.

Your Language Model is Its Own Critic: Reinforcement Learning with Value Estimation from Actor's Internal States Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 17

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T03:55:54.847622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-11T02:08:28.113371Z digest=sha256:70a45e7d983bb87b84cfe2deb5ff9580df49abf40ce0116003470414d787cafc

Observation bea7e6b6-1107-406c-85fd-1e971aa23b40 · inbound

Your Language Model is Its Own Critic: Reinforcement Learning with Value Estimation from Actor's Internal States cites this paper.

Your Language Model is Its Own Critic: Reinforcement Learning with Value Estimation from Actor's Internal States Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 17

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T06:41:45.912311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-12T04:01:25.989133Z digest=sha256:27221fb0d322a2c089369426c88616f2b662bc558597cd44f53ba6a769bdef14

Observation 6acf0d4d-e4e7-4a93-bbe8-04ae7f564e4d · inbound

HTPO: Towards Exploration-Exploitation Balanced Policy Optimization via Hierarchical Token-level Objective Control cites this paper.

HTPO: Towards Exploration-Exploitation Balanced Policy Optimization via Hierarchical Token-level Objective Control Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:51:14.635110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-12T00:50:42.836549Z digest=sha256:7e0616d88674fff3bce410c9c94ecf512cd53a7641dff02751c86b4e7b3c0130

Observation 29d311ec-69c6-4df4-8f62-a0ad9db35357 · inbound

Stateful Reasoning via Insight Replay cites this paper.

Stateful Reasoning via Insight Replay Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-15T01:43:27.643827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T01:41:06.919344Z digest=sha256:e31ffacff6d124b500044b74f1f80b4b239932a54dc854a634c0d244b62672a7

Observation 1611c923-e0d4-48d7-a207-bd1c408213cc · inbound

Stateful Reasoning via Insight Replay cites this paper.

Stateful Reasoning via Insight Replay Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-20T21:39:03.356197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-20T21:38:38.278000Z digest=sha256:fb8af3e4d98731a424ea5c86820469055985479b072e22b57a3d5b1f6ca74d55

Observation 45fff654-df73-47ca-822f-caae21c4d517 · inbound

Token-weighted Direct Preference Optimization with Attention cites this paper.

Token-weighted Direct Preference Optimization with Attention Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-22T07:06:11.755054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-22T07:05:23.189975Z digest=sha256:562d8b54c7e366e8e1a0e4c58c566f8ddd8e2a7d49582d6b761098694c3e9ce6

Observation 8f90ebb5-37ac-4ce0-8576-473783e46ae8 · inbound

Token-weighted Direct Preference Optimization with Attention cites this paper.

Token-weighted Direct Preference Optimization with Attention Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 1

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T15:05:48.155143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T17:45:14.943337Z digest=sha256:e9cd291defd3d9ff2ae534c38e7eee93cf33e8987e45ba81ecf8727f622fe4a1

Observation a4016e76-460e-4422-a3b5-7515261b4ea6 · inbound

Smaller Models are Natural Explorers for Policy-Level Diversity in GRPO cites this paper.

Smaller Models are Natural Explorers for Policy-Level Diversity in GRPO Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 21

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verified exact
arxiv_id, observed 2026-06-29T00:02:49.986417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T23:54:32.621093Z digest=sha256:1647da7ee4c7c56aaee1c0411260e66204902da79c0949110654d06ef79a57e2

Observation 4eb04468-593f-41fe-84a8-8aa6c8dd8d53 · inbound

Thinking Economically: A Hierarchical Framework for Adaptive-Complexity Reasoning in LLMs cites this paper.

Thinking Economically: A Hierarchical Framework for Adaptive-Complexity Reasoning in LLMs Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-06-28T17:12:25.275722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-28T17:05:48.244094Z digest=sha256:c4629dc2ea7d13b6b26a58f5583113d65351eb42c4105980ecdf307187111bd3

Observation 78698ae4-996a-4c41-a85e-dd2adc39d311 · inbound

The Tell-Tale Norm: $\ell_2$ Magnitude as a Signal for Reasoning Dynamics in Large Language Models cites this paper.

The Tell-Tale Norm: $\ell_2$ Magnitude as a Signal for Reasoning Dynamics in Large Language Models Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-02T12:26:56.922063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-28T02:07:49.501480Z digest=sha256:3453b56052eb4c1861fee6fe62c9e86b9ccb861f1270230576176ef04b72846f

Observation b56ec185-33d7-4752-8fb3-4665efe65114 · inbound

Sample Where You Struggle: Sharpening Base Model Reasoning via Entropy-Guided Power Sampling cites this paper.

Sample Where You Struggle: Sharpening Base Model Reasoning via Entropy-Guided Power Sampling Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-02T22:37:25.538625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T18:48:37.544462Z digest=sha256:69087b905f11aa569d206b9f7e3c11f7ec5ec7390d407804393ec42d3c35dac5

Observation 581eb95a-5873-42cc-b4ab-c9132a3eee2e · inbound

The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modes cites this paper.

The Periodic Table of LLM Reasoning: A Structured Survey of Reasoning Paradigms, Methods, and Failure Modes Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 149

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T05:57:41.329712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T12:59:51.091008Z digest=sha256:7e59acce635b23989e51200f0642c8ff4842ae3fb240511d2661211fb018fc3d

Observation 48859137-e761-451f-8a44-ae33c494db81 · inbound

Beyond Fully Random Masking: Attention-Guided Denoising and Optimization for Diffusion Language Models cites this paper.

Beyond Fully Random Masking: Attention-Guided Denoising and Optimization for Diffusion Language Models Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 53

Resolution
verified exact
arxiv_id, observed 2026-07-03T11:28:04.395213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-06-27T09:34:02.484344Z digest=sha256:bd7e013c3e45a61d9f0b211086ea1a97b29f12f4b30b25423320c2473c1e9b59

Observation 7831af7e-d003-4267-890d-3cfe74406dc9 · inbound

Beyond Entropy: Learning from Token-Level Distributional Deviations for LLM Reasoning cites this paper.

Beyond Entropy: Learning from Token-Level Distributional Deviations for LLM Reasoning Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T03:49:30.155417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T17:37:43.856000Z digest=sha256:36b7e8667cec880261a0cdd98c085f8fe104cc35c79ed65a1dab8a393483e80b

Observation bdadb457-eb31-4c85-8b4e-19aedac412ad · inbound

Rethinking On-Policy Self-Distillation for Thinking Models cites this paper.

Rethinking On-Policy Self-Distillation for Thinking Models Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-08T01:14:27.539267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-08T01:04:59.662046Z digest=sha256:bb4ff246337ab7e2b50cb64c7de5cb7f575268f0b910bc8b6b7bfe297a505ecf