Pith. sign in

Paper Citation Record · LEDGER

Discovering Transforms: A Tutorial on Circulant Matrices, Circular Convolution, and the Discrete Fourier Transform

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1805.05533.

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

pith.paper-citation-record.v1
1805.05533 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T02:39:29.411021Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T02:39:29.482387Z

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 ab95a0ea-54d1-4b0d-91fb-894be7620fb8 · inbound

Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges cites this paper.

Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges Discovering Transforms: A Tutorial on Circulant Matrices, Circular Convolution, and the Discrete Fourier Transform

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-13T02:39:29.486592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T02:39:29.411021Z digest=sha256:05352ead4631fd91e7af5618d97e37fb380c6a3f3c55c4913635500421d17341

Observation 590a371e-9464-4f75-ba16-8251af5070a1 · inbound

Pixel-Translation-Equivariant Quantum Convolutional Neural Networks via Fourier Multiplexers cites this paper.

Pixel-Translation-Equivariant Quantum Convolutional Neural Networks via Fourier Multiplexers Discovering Transforms: A Tutorial on Circulant Matrices, Circular Convolution, and the Discrete Fourier Transform

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-10T23:05:48.054337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T19:22:20.097447Z digest=sha256:3f84c9853c71d17c1dae085ab382d49780824ac09adfdc52ac1b860be42bf34d