Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
MathPile: A Billion-Token-Scale Pretraining Corpus for Math
As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2312.17120.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:29:35.680196Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
2
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 46132507-3758-4f0b-abf3-937c8fd2b8a6 · inbound
DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models cites this paper.
DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Models MathPile: A Billion-Token-Scale Pretraining Corpus for Math
Reference 49
- Resolution
- verified exact
- arxiv_id, observed 2026-05-24T03:23:49.429902Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a1faefd3-5a9d-4ca9-9eff-a40f8258ebac · inbound
MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems cites this paper.
MathFlow: Enhancing the Perceptual Flow of MLLMs for Visual Mathematical Problems MathPile: A Billion-Token-Scale Pretraining Corpus for Math
Reference 66
- Resolution
- verified exact
- arxiv_id, observed 2026-05-22T22:57:13.299730Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3b4612a2-3425-4484-9dae-1f571c030c6a · inbound
MDPO: Multi-Granularity Direct Preference Optimization for Mathematical Reasoning cites this paper.
MDPO: Multi-Granularity Direct Preference Optimization for Mathematical Reasoning MathPile: A Billion-Token-Scale Pretraining Corpus for Math
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T12:29:35.680196Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91e9def5-e837-48b2-b972-09dd171b7349 · inbound
StepHint: Multi-level Stepwise Hints Enhance Reinforcement Learning to Reason cites this paper.
StepHint: Multi-level Stepwise Hints Enhance Reinforcement Learning to Reason MathPile: A Billion-Token-Scale Pretraining Corpus for Math
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:26:47.613196Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.