Paper Citation Record · LEDGER

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning

As of 23 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2505.23540.

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

pith.paper-citation-record.v1
2505.23540 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:48:54.646894Z

measured 53 of 53 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-11T02:10:40.020460Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T03:55:53.842268Z

Reference resolution

52 of 52 outbound references displayed

verified exact1
verified fuzzy1
unresolved50
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6d0201b1-c789-4d40-a1b8-4531e2a509e7 · outbound

This paper cites URL: " 'urlintro :=.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning URL: " 'urlintro :=

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:46.753612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9fa71cd-82ec-4690-a49a-03bb98b80ddd · outbound

This paper cites write newline.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning write newline

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:46.884044Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cc13414-55b7-4a9c-abf4-e85bea0b9a3f · outbound

This paper cites Large Language Models for Mathematical Reasoning: Progresses and Challenges.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Large Language Models for Mathematical Reasoning: Progresses and Challenges

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:47.051024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f36448ab-9dbb-470e-bfb2-1ce6b9b67b6e · outbound

This paper cites PaLM 2 Technical Report.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning PaLM 2 Technical Report

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:47.263325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae85c740-cb08-4a98-8fe2-77b25cb86a95 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:47.435160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a5a5b99-02cb-4289-8626-cc777c298547 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:47.525774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c877b047-7045-4853-8417-22c2d296aa21 · outbound

This paper cites Qwen Technical Report.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Qwen Technical Report

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:47.699588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0670dc0-94b8-41d2-b2bb-c56c94912132 · outbound

This paper cites Constitutional AI: Harmlessness from AI Feedback.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Constitutional AI: Harmlessness from AI Feedback

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:47.872992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e73070a-331a-475f-9fac-195c6406a8e9 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:48.005985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 789ab79c-abe2-4128-a481-15da00115460 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:48.128007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04de3fd1-ae6a-4501-9a81-4e0544bd0d13 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Training Verifiers to Solve Math Word Problems

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:48.284922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe43d705-b098-4d91-80cc-20a738956ba7 · outbound

This paper cites The Llama 3 Herd of Models.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning The Llama 3 Herd of Models

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:48.497500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d37c2cb-3193-40da-84b9-393519fa4a1a · outbound

This paper cites u rnkranz and Eyke H \.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning u rnkranz and Eyke H \

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:56.641896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9ed398c0-88ae-4c62-87ff-d30bc9adbbb4 · outbound

This paper cites Towards a Theoretical Understanding of Synthetic Data in LLM Post-Training: A Reverse-Bottleneck Perspective.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Towards a Theoretical Understanding of Synthetic Data in LLM Post-Training: A Reverse-Bottleneck Perspective

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:48.773375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 807d9afd-850a-474e-a795-f9013df45462 · outbound

This paper cites OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning OlympiadBench: A Challenging Benchmark for Promoting AGI with Olympiad-Level Bilingual Multimodal Scientific Problems

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:48.941524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d2b6096-c2c2-44ea-bb5f-f08a890ccb5d · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:56.412047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c0be4535-8a3f-4e1d-ba62-e0be2797985c · outbound

This paper cites Measuring Mathematical Problem Solving With the MATH Dataset.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Measuring Mathematical Problem Solving With the MATH Dataset

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:49.267026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 971a7edd-e295-4cbe-977c-2b9e0b5e304a · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:56.170201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9a896b54-0054-41d1-b37b-f21852b92d9d · outbound

This paper cites The Curious Case of Neural Text Degeneration.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning The Curious Case of Neural Text Degeneration

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:49.542632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa60184e-e272-4d86-8765-02f23d4f1a18 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:49.764910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8589f443-2d0a-49af-a999-e6da8d773234 · outbound

This paper cites Mistral 7B.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Mistral 7B

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:49.921998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e39e65c4-b8a8-4410-93bd-1a9090af818b · outbound

This paper cites Mistral 7B.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Mistral 7B

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:50.073075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a93cddcb-a3e8-4f57-ab22-35ccfae51949 · outbound

This paper cites Mixtral of Experts.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Mixtral of Experts

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:50.236031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d64946e-9d68-4229-a38a-d70737774dfe · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:50.415748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c18b59a3-11d1-4f60-a310-2f278c5be249 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:55.896260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 25372d40-7a3c-47c2-9c23-05b9270628b4 · outbound

This paper cites Let's Verify Step by Step.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Let's Verify Step by Step

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:50.661025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4088bc24-c3d9-4787-8e90-48c51ab95d93 · outbound

This paper cites Rho-1: Not All Tokens Are What You Need.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Rho-1: Not All Tokens Are What You Need

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:50.753591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Critical Tokens Matter: Token-Level Contrastive Estimation Enhances LLM's Reasoning Capability.

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.

Observation 68230bdb-df1b-4f35-9f3e-b72edb08be27 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:55.654117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3dc8d264-c4ac-4339-a805-f8f2b22d8a18 · outbound

This paper cites Inverse Scaling: When Bigger Isn't Better.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Inverse Scaling: When Bigger Isn't Better

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:51.113697Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 292d24a2-6db8-4036-bb00-29d468322805 · outbound

This paper cites Large Language Models: A Survey.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Large Language Models: A Survey

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:51.344663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84a2e209-521b-4d8d-8071-a0a6fea3e594 · outbound

This paper cites GPT-4 Technical Report.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning GPT-4 Technical Report

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:51.544455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f24bd252-aa67-4027-9ffe-31d4bcb8ed9d · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:51.715839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b8c74b3-c7d2-4fd9-9fa0-e88b8aaf2d78 · outbound

This paper cites Iterative Reasoning Preference Optimization.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Iterative Reasoning Preference Optimization

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:51.881145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c5d64e3-bd74-4310-87b3-46498df3ea7f · outbound

This paper cites Self-Consistency Preference Optimization.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Self-Consistency Preference Optimization

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:52.028303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63350242-06bc-4505-9b17-e3593cbb3996 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:52.236313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d901273-a9c0-4812-90d3-7e8131a2b228 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:52.442199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a5a65b9-8bbd-4185-9e6d-cf89e8a9d320 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:52.594267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5628600a-17b9-4f11-9666-e7cf21c8ed3f · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning LLaMA: Open and Efficient Foundation Language Models

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:52.739102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a53b2819-2362-4d2d-917a-ff8642221b71 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:52.883958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e459c472-4f91-4d75-b669-3e9993087f5c · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:53.070330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a118128f-1d83-4816-a98b-b1ee6b2c5513 · outbound

This paper cites LRHP: Learning Representations for Human Preferences via Preference Pairs.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning LRHP: Learning Representations for Human Preferences via Preference Pairs

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:53.221253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccea8820-6185-4dab-846f-fe5503aacfb9 · outbound

This paper cites Self-Consistency Improves Chain of Thought Reasoning in Language Models.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Self-Consistency Improves Chain of Thought Reasoning in Language Models

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:53.362214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7009d628-dde1-4970-b138-c3801022ed5d · outbound

This paper cites Consistency of a Recurrent Language Model With Respect to Incomplete Decoding.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Consistency of a Recurrent Language Model With Respect to Incomplete Decoding

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:48:55.005187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6261dd51-e4f9-4d11-89b5-626a1f7d92d9 · outbound

This paper cites an unresolved cited work.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:55.456689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fcbbe315-6b07-4e8d-be48-ea0ba4728290 · outbound

This paper cites Some things are more CRINGE than others: Iterative Preference Optimization with the Pairwise Cringe Loss.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Some things are more CRINGE than others: Iterative Preference Optimization with the Pairwise Cringe Loss

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:53.850737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cc5b074-990d-47eb-8731-df040fe7866f · outbound

This paper cites Qwen2.5 Technical Report.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Qwen2.5 Technical Report

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:53.971380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12fac24c-5d97-4132-8ce7-02079af468ed · outbound

This paper cites Qwen2.5 Technical Report.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Qwen2.5 Technical Report

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:54.069667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c0ef65f-e24d-4869-a4bc-854791757086 · outbound

This paper cites Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:54.203982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37060bab-bcc1-490a-83ca-f6405add8166 · outbound

This paper cites RLCD: Reinforcement Learning from Contrastive Distillation for Language Model Alignment.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning RLCD: Reinforcement Learning from Contrastive Distillation for Language Model Alignment

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:54.380705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca19ee2c-5fa0-44d7-a150-b0197044a3a3 · outbound

This paper cites Self-Rewarding Language Models.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Self-Rewarding Language Models

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:54.498345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8cc37db7-4a5c-40ce-99ae-84eaceba409b · outbound

This paper cites Token-level Direct Preference Optimization.

Probability-Consistent Preference Optimization for Enhanced LLM Reasoning Token-level Direct Preference Optimization

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:54.646894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 704f80b4-7721-4f40-80da-ebb3b85067ed · inbound

Confidence-Aware Alignment Makes Reasoning LLMs More Reliable cites this paper.

Confidence-Aware Alignment Makes Reasoning LLMs More Reliable Probability-Consistent Preference Optimization for Enhanced LLM Reasoning

Reference 51

Resolution: verified exact; arxiv_id, observed 2026-05-11T03:55:53.845454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.