Paper Citation Record · LEDGER

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2510.07774.

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

pith.paper-citation-record.v1
2510.07774 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T09:31:32.652490Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T07:31:00.010342Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-06-29T07:33:13.439883Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0b254128-695b-4ec9-a818-19b1dd1ee55f · outbound

This paper cites unique solution/no solution/rule holds.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards unique solution/no solution/rule holds

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.205576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f68ec6ae-132e-48b2-8c75-697592b82dfb · outbound

This paper cites forgetting.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards forgetting

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.233213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cfd9529f-19ed-4abb-af24-0f4b4f0239f5 · outbound

This paper cites an unresolved cited work.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-05-18T09:32:31.203289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 62715dca-473a-4ced-8b78-64a55140daa3 · outbound

This paper cites the function must be linear.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards the function must be linear

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.217596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 34a161c6-1dd9-4b5f-b906-19110ecf650f · outbound

This paper cites an unresolved cited work.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-05-18T09:32:31.219904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1155876e-47b9-461d-aec9-18a3b4e3f94d · outbound

This paper cites a + b + c + d - 437 - 2*234 - 3x = 3600.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards a + b + c + d - 437 - 2*234 - 3x = 3600

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.224780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a640c0fa-9b80-4b9e-ab18-f406f7bdca94 · outbound

This paper cites Prompt 2: Rubric Generation Role:You are an experienced math competition coach and problem-setter, an expert in the logical structure of mathematical proofs.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Prompt 2: Rubric Generation Role:You are an experienced math competition coach and problem-setter, an expert in the logical structure of mathematical proofs

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.230877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 96eb3c43-b979-41c8-bea9-8ac6d46eb5cd · outbound

This paper cites side-length method.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards side-length method

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.235659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 37c978d1-3938-4cf0-ac9b-6f8b4284561c · outbound

This paper cites identifying key properties.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards identifying key properties

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.213053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1861b6d3-0f46-4cba-a98f-ad4fb31f2122 · outbound

This paper cites an unresolved cited work.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-18T09:32:31.210320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 558b5a77-106e-4bda-bfa4-368985dee50c · outbound

This paper cites an unresolved cited work.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-18T09:32:31.227189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 229c5458-b0b7-4d4e-8796-b75210c84376 · outbound

This paper cites We are givenS 6 = (−7,−1)and asked to findS 0 after reversingPsix times.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards We are givenS 6 = (−7,−1)and asked to findS 0 after reversingPsix times

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.215421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ae22594d-5a93-4610-9efc-91abcb7e13e8 · outbound

This paper cites an unresolved cited work.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-18T09:32:31.208288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 360f3fc8-4cf1-40e6-a16f-6c0b2b57b6e1 · outbound

This paper cites Thus, the student effectively computed(P −1)2(S6), which is the coordinate ofS 4, but they labeled it asS 0.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards Thus, the student effectively computed(P −1)2(S6), which is the coordinate ofS 4, but they labeled it asS 0

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.222347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 24927758-6224-46c5-b7c5-76aaf612f5f5 · outbound

This paper cites applying the transformation an even number of times will return the point to its original position.

Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards applying the transformation an even number of times will return the point to its original position

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T09:32:31.238005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 72c9f816-fa26-4953-b09a-8c18f05d28f8 · inbound

Meta-Cognitive Memory Policy Optimization for Long-Horizon LLM Agents cites this paper.

Meta-Cognitive Memory Policy Optimization for Long-Horizon LLM Agents Curing Miracle Steps in LLM Mathematical Reasoning with Rubric Rewards

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-06-29T07:33:13.441071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.