Paper Citation Record · LEDGER

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2508.18824.

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

pith.paper-citation-record.v1
2508.18824 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:15:28.354473Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T22:10:59.568675Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T22:17:25.650406Z

Reference resolution

24 of 24 outbound references displayed

verified exact0
verified fuzzy0
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8699c7ce-b7b0-403c-926e-d7db5c602db9 · outbound

This paper cites GPT-4 Technical Report.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness GPT-4 Technical Report

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.180475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62408393-31d2-47ba-943b-972c66d72903 · outbound

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

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Large Language Models for Mathematical Reasoning: Progresses and Challenges

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.188254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbb6881d-d7fe-42e4-90d1-7f9bafeb9a39 · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.993281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a890df82-f57e-49f3-aded-0ff4585a711a · outbound

This paper cites Training Verifiers to Solve Math Word Problems.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Training Verifiers to Solve Math Word Problems

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.210457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b9833bd-0b66-45ca-96c4-ac635d5d5c35 · outbound

This paper cites ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness ToRA: A Tool-Integrated Reasoning Agent for Mathematical Problem Solving

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.216960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fabe345-33b4-4ecc-a039-689cf532c830 · outbound

This paper cites The Llama 3 Herd of Models.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness The Llama 3 Herd of Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.223479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddf43060-95fe-4cc3-804c-cd47497d9ac2 · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.972170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7e16abe1-e848-46ef-9653-e068fb1946cc · outbound

This paper cites Mistral 7B.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Mistral 7B

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.236726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 757753d5-39d3-49ac-a2e1-972e8f9b6541 · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.243127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5af85ec2-65ce-4797-996f-93d9f47127ee · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.937223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e66f9d06-fbe0-4640-85e4-121f58bfe3cc · outbound

This paper cites A Survey of Deep Learning for Mathematical Reasoning.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness A Survey of Deep Learning for Mathematical Reasoning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.262314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5b406a0-5c69-4edb-a3da-d1622e910f32 · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.914052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1701bfda-886e-4928-9262-39eb44e866de · outbound

This paper cites WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.281469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fe987db-3268-490a-b0e6-f8d013d7227a · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.887379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 94664fd6-4925-4db8-8dfb-e3f5312a51bb · outbound

This paper cites DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.293124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f10071d-c443-4df7-af6e-10605ad6e7e1 · outbound

This paper cites Every FLOP Counts: Scaling a 300B Mixture-of-Experts LING LLM without Premium GPUs.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Every FLOP Counts: Scaling a 300B Mixture-of-Experts LING LLM without Premium GPUs

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.300725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21d94b57-9c05-41e8-8131-bba8f1ba23e1 · outbound

This paper cites MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness MathCoder: Seamless Code Integration in LLMs for Enhanced Mathematical Reasoning

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.306599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0b3e5a4-a515-4cee-8989-9b2991f8607c · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.853096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3af6057d-c5ba-47ec-88f8-ad2e74d5bda8 · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.325092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab0aef57-d224-447b-a6f4-6b16c43a11a5 · outbound

This paper cites MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.332976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcfb58f6-8874-43d6-b95b-f3d66575b518 · outbound

This paper cites MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuning.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuning

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.338933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22aa9678-ace2-4626-abd5-6096d2de0f35 · outbound

This paper cites A Survey of Large Language Models.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness A Survey of Large Language Models

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.346330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 377d9a84-2cd4-461f-8e95-9d8f900da4ee · outbound

This paper cites an unresolved cited work.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T16:15:28.813489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d796b07e-97d4-4342-8a00-7ec50a849cd3 · outbound

This paper cites Llemma: An Open Language Model For Mathematics.

Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness Llemma: An Open Language Model For Mathematics

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-05T16:15:28.201728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation ca5c71dd-d1aa-404d-ab98-dc728a5aafa1 · inbound

Ling and Ring 2.6 Technical Report: Efficient and Instant Agentic Intelligence at Trillion-Parameter Scale cites this paper.

Ling and Ring 2.6 Technical Report: Efficient and Instant Agentic Intelligence at Trillion-Parameter Scale Arrows of Math Reasoning Data Synthesis for Large Language Models: Diversity, Complexity and Correctness

Reference 50

Resolution: verified exact; arxiv_id, observed 2026-07-02T22:17:25.651954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.