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Paper Citation Record · LEDGER

Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic

As of 23 August 2026, this Paper Citation Record lists 2 of 2 outbound references and 0 inbound Pith citation observations for arXiv:2606.23044.

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

pith.paper-citation-record.v1
2606.23044 v2

Coverage vector

measured 2 of 2 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-15T10:36:49.938620Z

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

2 of 2 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3de3baca-003b-4c35-98fb-2f621e0b24f2 · outbound

This paper cites URL https: //proceedings.neurips.cc/paper_files /paper/2024/file/c35986bc1ee29b31c10 11481b77fe540-Paper-Conference.pdf.

Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic URL https: //proceedings.neurips.cc/paper_files /paper/2024/file/c35986bc1ee29b31c10 11481b77fe540-Paper-Conference.pdf

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-15T10:36:49.938620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-15T10:36:49.938620Z digest=sha256:584bee75fb161b6d9d42cea9227a4b82cecd47cea4e263a97744fb4eb9ba10c8

Observation cdc3b659-46fb-4540-b266-8dab56103cb2 · outbound

This paper cites Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets.

Prime Fourier Embeddings: A Principled Basis for Modular Arithmetic Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-15T10:36:49.938620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-15T10:36:49.938620Z digest=sha256:ba6e5ce06de6ec7f52c81eda9303090cf748960cd350cbed9a78a30f4f31aae5

Pith citing papers

No inbound Pith citation observations are available.