Paper Citation Record · LEDGER

ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement

As of 4 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 3 inbound Pith citation observations for arXiv:2604.01591.

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

pith.paper-citation-record.v1
2604.01591 v2

Coverage vector

measured 5 of 5 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T21:55:42.916279Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:45:25.674606Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T03:45:55.730939Z

Reference resolution

5 of 5 outbound references displayed

verified exact0
verified fuzzy3
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 292eb58b-aace-4a15-be59-661174f5b657 · outbound

This paper cites Check if there are any errors in calculations, logic, or problem understanding.

ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement Check if there are any errors in calculations, logic, or problem understanding

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T21:58:20.419464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation cb84fe3e-e7b3-4dae-8648-bf0892fc719d · outbound

This paper cites an unresolved cited work.

ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-05-13T21:58:20.417781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 02a0c0ba-ae15-4f0e-8ad4-a1dfb834e0d8 · outbound

This paper cites an unresolved cited work.

ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-13T21:58:20.416193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation daceb738-6897-4116-bce6-15976ae39d6d · outbound

This paper cites The refinement instruction is task-agnostic and contains no correctness signals, ensuring the model learns self-refinement without external supervision.

ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement The refinement instruction is task-agnostic and contains no correctness signals, ensuring the model learns self-refinement without external supervision

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T21:58:20.412864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0d5ccaeb-d63d-4866-9179-5e5a597225d3 · outbound

This paper cites But maybe we can look for a telescoping pattern? Let’s compute the expression for small values of n and see if we can spot a pattern.

ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement But maybe we can look for a telescoping pattern? Let’s compute the expression for small values of n and see if we can spot a pattern

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-13T21:58:20.414602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

Observation 5dc6dbd0-55a2-4daf-86d7-7b486e45e528 · inbound

SafeGEO: Understanding Generative Engine Optimization Risks in Recommendation Agents cites this paper.

SafeGEO: Understanding Generative Engine Optimization Risks in Recommendation Agents ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-06-30T11:34:38.176919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5f85b881-fe4f-4e52-acd0-b5f4cff49342 · inbound

Recursive Self-Improvement in AI: From Bounded Self-Refinement to Autonomous Research Loops cites this paper.

Recursive Self-Improvement in AI: From Bounded Self-Refinement to Autonomous Research Loops ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement

Reference 107

Resolution: verified exact; local_arxiv, observed 2026-07-09T03:45:55.732071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 0166a0ee-49ac-4d6c-b061-fe94b0621095 · inbound

It Takes 8 Tokens: Weak-to-Strong Off-Policy RL via Auxiliary Branches cites this paper.

It Takes 8 Tokens: Weak-to-Strong Off-Policy RL via Auxiliary Branches ThinkTwice: Jointly Optimizing Large Language Models for Reasoning and Self-Refinement

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-02T14:45:25.674606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.