Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Fourier Circuits in Neural Networks and Transformers: A Case Study of Modular Arithmetic with Multiple Inputs
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2402.09469.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-09T18:51:12.545706Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T03:12:28.775466Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation fb542a59-e055-4bf5-b0c5-a5da46059bf9 · inbound
Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolation cites this paper.
Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolation Fourier Circuits in Neural Networks and Transformers: A Case Study of Modular Arithmetic with Multiple Inputs
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T18:51:12.545706Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b6892761-25c6-47f5-9fe8-51370119a235 · inbound
FoNE: Precise Single-Token Number Embeddings via Fourier Features cites this paper.
FoNE: Precise Single-Token Number Embeddings via Fourier Features Fourier Circuits in Neural Networks and Transformers: A Case Study of Modular Arithmetic with Multiple Inputs
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T03:12:28.778958Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7ba5a09e-d4d9-447a-bb1a-139e4e042d31 · inbound
Convergent Evolution: How Different Language Models Learn Similar Number Representations cites this paper.
Convergent Evolution: How Different Language Models Learn Similar Number Representations Fourier Circuits in Neural Networks and Transformers: A Case Study of Modular Arithmetic with Multiple Inputs
Reference 9
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-10T00:49:48.456285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.