Paper Citation Record · LEDGER

Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

As of 9 August 2026, this Paper Citation Record lists 3 of 3 outbound references and 12 inbound Pith citation observations for arXiv:2602.13517.

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

pith.paper-citation-record.v1
2602.13517 v2

Coverage vector

measured 3 of 3 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T23:35:23.090487Z

measured 15 of 15 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 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:54:34.171109Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T08:19:44.132418Z

Reference resolution

3 of 3 outbound references displayed

verified exact0
verified fuzzy0
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85ba73dc-49ff-4f21-9965-0e82b0ff0ed5 · outbound

This paper cites Triangle𝐶𝐻𝐺: Side𝐻𝐺 is vertical with lengthℎ; the horizontal distance from𝐶(− 15, 0) to the line𝑥= 9− 𝑤 2 (the line containing𝐻𝐺) is24− 𝑤.

Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens *Triangle𝐶𝐻𝐺:* Side𝐻𝐺 is vertical with lengthℎ; the horizontal distance from𝐶(− 15, 0) to the line𝑥= 9− 𝑤 2 (the line containing𝐻𝐺) is24− 𝑤

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T23:35:22.995251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d6cd477-cfb9-4ce0-8653-950d2dae701f · outbound

This paper cites The problem states[𝐷𝐺𝐹]=[𝐶𝐻𝐺].

Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens The problem states[𝐷𝐺𝐹]=[𝐶𝐻𝐺]

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T23:35:23.090487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52769682-a62e-4559-b455-9e3a82a36024 · outbound

This paper cites C is closer to GH than to EF.

Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens C is closer to GH than to EF

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-02T23:35:22.908304Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation bd84b37c-fb41-47a4-96b3-1e11c7977771 · inbound

Latent State Design for World Models under Sufficiency Constraints cites this paper.

Latent State Design for World Models under Sufficiency Constraints Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 11

Resolution: metadata mismatch; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 26a61db7-f53d-4821-8444-eca37c30c705 · inbound

Spatiotemporal Hidden-State Dynamics as a Signature of Internal Reasoning in Large Language Models cites this paper.

Spatiotemporal Hidden-State Dynamics as a Signature of Internal Reasoning in Large Language Models Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 18

Resolution: metadata mismatch; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 06ce9be8-67b2-4eb2-afea-27f25cbdae1e · inbound

Stateful Reasoning via Insight Replay cites this paper.

Stateful Reasoning via Insight Replay Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 66a1d2b0-0167-416c-a332-957e2f3d3a38 · inbound

Stateful Reasoning via Insight Replay cites this paper.

Stateful Reasoning via Insight Replay Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation fac886e8-02a7-4ecf-9f11-9bcd53220100 · inbound

GRASP: Learning to Ground Social Reasoning in Multi-Person Non-Verbal Interactions cites this paper.

GRASP: Learning to Ground Social Reasoning in Multi-Person Non-Verbal Interactions Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 26e928dc-c3c0-4aec-a62b-9002a0000fbc · inbound

Effort as Ceiling, Not Dial: Reasoning Budget Does Not Modulate Cognitive Cost Alignment Between Humans and Large Reasoning Models cites this paper.

Effort as Ceiling, Not Dial: Reasoning Budget Does Not Modulate Cognitive Cost Alignment Between Humans and Large Reasoning Models Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 5

Resolution: metadata mismatch; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation ce16df6a-01f3-40a2-bcbe-aa59d682debf · inbound

When Do LLMs Reason? A Dynamical Systems View via Entropy Phase Transitions cites this paper.

When Do LLMs Reason? A Dynamical Systems View via Entropy Phase Transitions Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation def628ec-97ba-4d72-8f8f-c0ddc1e375d0 · inbound

Integrated and Cross-Architecture Interpretation of LLM Reasoning cites this paper.

Integrated and Cross-Architecture Interpretation of LLM Reasoning Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 91b3902e-7fa8-4079-93f3-14694987898c · inbound

The Tutoring Effectiveness Index: Predicting LLM Math Tutor Quality from Four Conversation Signals cites this paper.

The Tutoring Effectiveness Index: Predicting LLM Math Tutor Quality from Four Conversation Signals Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation d1a10e44-d33a-427c-8c03-0bbaf2d76db8 · inbound

Co-Evolving Skill Generation and Policy Optimization cites this paper.

Co-Evolving Skill Generation and Policy Optimization Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 5184cf52-bcd5-47cc-bf42-e3b83fd6d413 · inbound

Human vs Machine Mathematical Difficulty on Project Euler: An Experimental Analysis cites this paper.

Human vs Machine Mathematical Difficulty on Project Euler: An Experimental Analysis Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-07-07T03:18:12.196403Z

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.

Observation 10316036-2c34-47af-ada2-66e47362a549 · inbound

ThinkReset: Learnable Intermediate Interface Construction for Bounded-Context Long-Horizon Reasoning cites this paper.

ThinkReset: Learnable Intermediate Interface Construction for Bounded-Context Long-Horizon Reasoning Think Deep, Not Just Long: Measuring LLM Reasoning Effort via Deep-Thinking Tokens

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T00:54:34.171109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.