Paper Citation Record · LEDGER

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision

As of 11 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2505.15927.

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

pith.paper-citation-record.v1
2505.15927 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:22:14.048129Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-11T00:52:10.419984Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T09:56:03.927375Z

Reference resolution

9 of 9 outbound references displayed

verified exact0
verified fuzzy4
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1509769d-d8dd-424d-8e84-8ad5dc75d37c · outbound

This paper cites Some Local Measures of Complexity of Convex Hulls and Generalization Bounds.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Some Local Measures of Complexity of Convex Hulls and Generalization Bounds

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T15:22:14.432590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5e07a8ed-1374-47fa-a5de-c6ccd6c5fad8 · outbound

This paper cites an unresolved cited work.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:22:15.484204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1bae7c73-c56e-43a1-ba7b-ac9d9b5f681b · outbound

This paper cites Letx1,...,x m∼D be an i.i.d sample fromD.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Letx1,...,x m∼D be an i.i.d sample fromD

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:22:15.244145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c0edff4f-0380-4f09-ad75-de3565ca3731 · outbound

This paper cites an unresolved cited work.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:22:14.981722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 694214c1-efdf-4029-aa59-1a833a88dc91 · outbound

This paper cites Fore = 1/100 and|Y×Z| = 1, 000, the capacity factor is approximatelyCQ≈ 11.39.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Fore = 1/100 and|Y×Z| = 1, 000, the capacity factor is approximatelyCQ≈ 11.39

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:22:14.707650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bc64d7e4-0fc5-4a83-b3d8-f96a7b920134 · outbound

This paper cites A formal theory of inductive inference. Part I.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision A formal theory of inductive inference. Part I

Reference 1975

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:22:15.691435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 229e1359-1ea8-487a-bab8-957881507385 · outbound

This paper cites Piecewise testable events.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Piecewise testable events

Reference 1987

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:22:15.857419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7a7cbb62-73f5-4297-b41a-4881dea0971d · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Training Verifiers to Solve Math Word Problems

Reference 2210

Resolution: unresolved; no resolver link, observed 2026-08-07T15:22:12.962924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 991ff95d-50e5-4e9e-9e51-95dfff229baf · outbound

This paper cites Unveiling the Statistical Foundations of Chain-of-Thought Prompting Methods.

CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision Unveiling the Statistical Foundations of Chain-of-Thought Prompting Methods

Reference 2305

Resolution: unresolved; no resolver link, observed 2026-08-07T15:22:13.111877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation af5818ca-8e7c-4704-8081-27740ed2851b · inbound

Sample Complexity of Autoregressive Reasoning: Chain-of-Thought vs. End-to-End cites this paper.

Sample Complexity of Autoregressive Reasoning: Chain-of-Thought vs. End-to-End CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:56:03.931152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b0b0856f-b89c-4357-886d-22c484c47fc7 · inbound

A Theory of Online Learning with Autoregressive Chain-of-Thought Reasoning cites this paper.

A Theory of Online Learning with Autoregressive Chain-of-Thought Reasoning CoT Information: Improved Sample Complexity under Chain-of-Thought Supervision

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:05:58.521336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.