Paper Citation Record · LEDGER

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models

As of 19 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.05199.

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

pith.paper-citation-record.v1
2607.05199 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-07T23:53:54.998639Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy6
unresolved30
parse uncertain2
malformed identifier1
metadata mismatch6

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c02032e2-9878-4e28-813f-52f9232112c2 · outbound

This paper cites Have LLMs Advanced Enough? A Challenging Problem Solving Benchmark For Large Language Models.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Have LLMs Advanced Enough? A Challenging Problem Solving Benchmark For Large Language Models

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T23:54:18.638911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ee3286e-c51f-40eb-986c-b78f94c7cb88 · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Training Verifiers to Solve Math Word Problems

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T23:54:18.642363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ba0eaa6b-c91c-490e-87fe-673fdee2597a · outbound

This paper cites Measuring Massive Multitask Language Understanding.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Measuring Massive Multitask Language Understanding

Reference 3

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T23:54:18.625871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2cf3bca2-7a32-449d-ac66-67fe19c2a88b · outbound

This paper cites Step-KTO: Optimizing Mathematical Reasoning through Stepwise Binary Feedback.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Step-KTO: Optimizing Mathematical Reasoning through Stepwise Binary Feedback

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T23:54:18.630127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f8cabcf-572d-4300-830b-ea1b0229d63f · outbound

This paper cites On the Impact of Fine-Tuning on Chain-of-Thought Reasoning.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models On the Impact of Fine-Tuning on Chain-of-Thought Reasoning

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T23:54:18.634937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 807b2599-2b19-46c6-a58e-2094ccee3eee · outbound

This paper cites LMFCA-Net: A Lightweight Model for Multi-Channel Speech Enhancement with Efficient Narrow-Band and Cross-Band Attention.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models LMFCA-Net: A Lightweight Model for Multi-Channel Speech Enhancement with Efficient Narrow-Band and Cross-Band Attention

Reference 6

Resolution: metadata mismatch; local_arxiv, observed 2026-07-07T23:54:18.637038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cdbbb7ae-0bf7-4d2c-97a6-13f08d6a3d6b · outbound

This paper cites Discussed in §3.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Discussed in §3

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T23:54:18.721386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1a3d2b9-a2b1-4037-9182-7fd66859a56e · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.707714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6186b055-7d41-43b0-b255-1a5137e4284f · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.709372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 010fcc35-3a72-4a47-ba23-03849e488e60 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.727357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 64a9aed0-86b0-4ada-bcd0-77f01d8794e3 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.752943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 51630387-0817-4456-982c-cfb983b3403c · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.754952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1b8117e8-c821-431f-aef0-fb9ccf8bdb17 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.750689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 464adc4b-00f5-478a-a99e-a574dc24013d · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.725553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f9e9f623-eb25-4f8e-8dca-fd251383c2a6 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.764763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a73169f-e123-4832-b048-16948e904830 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.706404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 67c56d23-1cfe-46ed-8bac-d9ba8cceb9bb · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.719822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d9daa854-5238-400e-b7b0-345825e9ba6a · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.699373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1ea59ae8-101d-4f5b-8fba-b5018f9e8335 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.687450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d0b67fc-ade2-4ce6-85ac-d412ac4ec640 · outbound

This paper cites String ﬁxed at one end: L N A N A λ/2.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models String ﬁxed at one end: L N A N A λ/2

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T23:54:18.762802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed937cc4-e649-4e6e-bf8c-773e73712b9e · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.746271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 114d2e8f-5f63-4788-8cde-89f253c0c871 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.731392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 478e59ee-b3ce-4e8d-8e04-b3c4be86c224 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.725051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e7ecf4d5-1c2d-4cff-a4c7-3f6162429d6c · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.670150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 39759c68-8614-4afe-8a0c-f5935cb812b6 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.712531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 470ee20c-2c62-46ba-9496-095dd80abe52 · outbound

This paper cites Sonometer: ν∝1 L, ν∝ √ T, ν∝1√µ.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Sonometer: ν∝1 L, ν∝ √ T, ν∝1√µ

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T23:54:18.759835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f9e8cdc7-9080-4151-9fbb-ccb70d990505 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.727129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 99e6b049-0c8b-48a1-a571-2d29849dd63c · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.741903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 63c278c7-ae12-4fc4-88d4-d6233c9ca544 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.733009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5240fcd5-44cf-4261-aa81-c1a093b75c46 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.729053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8168481a-17f5-4e84-9869-a7e4556a6132 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.692908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 908ea510-5902-4c2d-b30d-52a6547953ef · outbound

This paper cites Two thin lenses separated by distance d: 1 F = 1 f1 + 1 f2 −d f1f2 f1 f2 d 3.3: Optical Instruments Simple microscope: m =D/f in normal adjustment.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Two thin lenses separated by distance d: 1 F = 1 f1 + 1 f2 −d f1f2 f1 f2 d 3.3: Optical Instruments Simple microscope: m =D/f in normal adjustment

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T23:54:18.710078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4a857794-51fa-4ce5-bef2-fcc11e753eb0 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.731039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e6bfca5b-2555-47fd-9295-62a5eb64891e · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.745210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9f4a8001-ab17-4d33-a692-57f0fd56c48b · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.674325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53ba96d9-f416-4b76-bf73-74c7b37d0f28 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.734930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 48232cfa-e925-482e-a5b7-1995cf6cccd5 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.715054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4f81862e-8b68-4dec-a254-d61b5a80c2b8 · outbound

This paper cites 4 Heat and Thermodynamics 4.1: Heat and Temperature Temp.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models 4 Heat and Thermodynamics 4.1: Heat and Temperature Temp

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T23:54:18.744331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88e6b71a-fbca-4ce3-a2d3-be078a5b97e4 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 39

Resolution: parse uncertain; raw_fallback, observed 2026-07-07T23:54:18.739519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c59d9a77-b9bb-48a8-808b-c4637be1afb4 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.757178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation db60b969-dd56-4f4e-8549-c980e7a2eb64 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.717394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation defb5d25-84c2-4f72-85c1-2fc250977bf9 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 42

Resolution: parse uncertain; raw_fallback, observed 2026-07-07T23:54:18.737223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69205a67-e0bf-4273-a197-5434e8a1c2d0 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-07-07T23:54:18.686645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6480b380-2af5-45a8-a925-36a433e97d90 · outbound

This paper cites Important: Do not verify mathematical reasoning or calculations.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Important: Do not verify mathematical reasoning or calculations

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-07-07T23:54:18.748256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2de329a2-850c-41ed-92e8-a9cd195ec9e3 · outbound

This paper cites an unresolved cited work.

Reason, Reward, Refine: Step-Level Errors Corrections with Structured Feedback for Physics Reasoning in Small Language Models Unresolved cited work

Reference 45

Resolution: malformed identifier; raw_fallback, observed 2026-07-07T23:54:18.735560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.