Paper Citation Record · LEDGER

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning

As of 15 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 4 inbound Pith citation observations for arXiv:2505.22148.

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

pith.paper-citation-record.v1
2505.22148 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:20:14.765344Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:53:55.675806Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T12:27:52.372925Z

Reference resolution

20 of 20 outbound references displayed

verified exact0
verified fuzzy5
unresolved14
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 10021ff5-ac1d-4cff-b8cf-742890991dab · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:18.122015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5c15e81f-eeea-443b-9c4a-d875a239e926 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:17.937533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4d4b03e8-4950-4100-b417-0c652caab8c4 · outbound

This paper cites Kimi k1.5: Scaling Reinforcement Learning with LLMs.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Kimi k1.5: Scaling Reinforcement Learning with LLMs

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T13:20:12.999845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c19b29c9-74b4-410d-a15f-6e578c2ee47b · outbound

This paper cites Do not merge steps.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Do not merge steps

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:17.461325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 54426f27-4877-4314-9810-9afc4577bcf9 · outbound

This paper cites LIMO: Less is More for Reasoning.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning LIMO: Less is More for Reasoning

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T13:20:13.099692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d1ab255-26b1-4ed8-8299-11e89b6d1e1f · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:16.934471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c1f2a35c-391a-43a2-ac7d-0c5c89e3fbe1 · outbound

This paper cites Output format: <reasoning_process> Step 1.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Output format: <reasoning_process> Step 1

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:16.761885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 957ec126-c935-4ed9-9408-bcb841143743 · outbound

This paper cites A correct step should be able to push the reasoning logic forward and have no errors in itself.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning A correct step should be able to push the reasoning logic forward and have no errors in itself

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:17.617577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a44c0fa3-1fff-4fe1-b32c-facb926b49b5 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:17.242810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a783aaba-51eb-411f-b89e-f5a0c5ee02b5 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:16.506389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 66639060-461e-41b3-8002-0a3c53a81468 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:16.231747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f9fc718-04ba-4f6c-8795-d03ed0429e35 · outbound

This paper cites ‘json {.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning ‘json {

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:15.978790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2414ed10-450e-4f33-b440-ded223544ce4 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:15.785804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 236e8a12-4727-4b79-9cc8-96db4f88fac8 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:15.610470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b6e1a222-f887-4b76-bd65-520f77c3de56 · outbound

This paper cites an unresolved cited work.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:15.347761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a59fdc0e-aa0c-49e9-b56f-c5eaef4c3636 · outbound

This paper cites Text1":.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Text1":

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:15.150825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80addca9-7c53-42fd-b4a2-c9966e78ef2f · outbound

This paper cites The model comprises two GATv2 layers, each with a hidden size of 64.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning The model comprises two GATv2 layers, each with a hidden size of 64

Reference 2022

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T13:20:18.407137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 644a5024-f96d-4c8c-b76a-8525d189be70 · outbound

This paper cites DeepSeek-V3 Technical Report.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning DeepSeek-V3 Technical Report

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-07T13:20:12.952205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 347f68ce-03c9-4f35-8822-8f0f3d30ee45 · outbound

This paper cites Thoughts Are All Over the Place: On the Underthinking of o1-Like LLMs.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Thoughts Are All Over the Place: On the Underthinking of o1-Like LLMs

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T13:20:13.072510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76d3702c-3bd7-40f7-ac4b-fb498ae7fc12 · outbound

This paper cites Can Large Language Models Detect Errors in Long Chain-of-Thought Reasoning?.

What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning Can Large Language Models Detect Errors in Long Chain-of-Thought Reasoning?

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-07T13:19:45.628559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 6a275686-2446-4bce-88b6-789900f8e8e4 · 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 What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-06T17:53:55.675806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a3526ea-3f62-45e9-adad-5547b3f7c1f7 · inbound

Which Reasoning Trajectories Teach Students to Reason Better? A Simple Metric of Informative Alignment cites this paper.

Which Reasoning Trajectories Teach Students to Reason Better? A Simple Metric of Informative Alignment What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-16T12:27:52.375459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c423c1fd-9abc-4d61-895c-c1b4eaaf022b · inbound

Which Reasoning Trajectories Teach Students to Reason Better? A Simple Metric of Informative Alignment cites this paper.

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T09:22:44.210564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cef5638-f223-476e-8f2a-1601aefc9ce3 · inbound

STOP: Structured On-Policy Pruning of Long-Form Reasoning in Low-Data Regimes cites this paper.

STOP: Structured On-Policy Pruning of Long-Form Reasoning in Low-Data Regimes What Makes a Good Reasoning Chain? Uncovering Structural Patterns in Long Chain-of-Thought Reasoning

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T19:27:52.010015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.