Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:57:05.645327Z
Paper Citation Record · LEDGER
Discrete and Fast Fourier Transform Made Clear
As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:1908.07154.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
9 of 9 outbound references displayed
- verified exact0
- verified fuzzy9
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4181beec-21e8-4fb3-a2b8-d71e6a9fae40 · outbound
This paper cites The best of the 20th century: Editors name t op 10 algorithms.
Discrete and Fast Fourier Transform Made Clear The best of the 20th century: Editors name t op 10 algorithms
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.821497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b2e02575-336d-4cd9-a4f5-d0a0726886d4 · outbound
This paper cites An algorithm for the machi ne calculation of complex fourier series.
Discrete and Fast Fourier Transform Made Clear An algorithm for the machi ne calculation of complex fourier series
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.807192Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65d58345-92d4-44db-8fa9-37b2223b0471 · outbound
This paper cites Algorithms.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.793218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ebd26688-2bef-4cff-bf4d-5e48cece2db5 · outbound
This paper cites A brief introduction to fourier analysis on the boolean cube.
Discrete and Fast Fourier Transform Made Clear A brief introduction to fourier analysis on the boolean cube
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.776970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a461651-efad-4986-8857-ec54a3f9f1b8 · outbound
This paper cites Mathematics++, volume 75.
Discrete and Fast Fourier Transform Made Clear Mathematics++, volume 75
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.757735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ecd8a32d-75ea-4957-af66-80ab7dd8a109 · outbound
This paper cites Harmonic analysis: from Fourier to wavelets , vol- ume 63.
Discrete and Fast Fourier Transform Made Clear Harmonic analysis: from Fourier to wavelets , vol- ume 63
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.741271Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 12ff8d53-163d-46d4-a12a-1aea7184ce36 · outbound
This paper cites An introduction to the theory of groups , volume 148.
Discrete and Fast Fourier Transform Made Clear An introduction to the theory of groups , volume 148
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.724999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 33cf0357-6d51-41a8-b0e1-2eb712556a38 · outbound
This paper cites Introduction to applied mathematics , volume 16.
Discrete and Fast Fourier Transform Made Clear Introduction to applied mathematics , volume 16
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.708180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c16d9cfc-cd59-4b3f-b55e-3ce458fecaa3 · outbound
This paper cites Fourier analysis on finite groups and applications.
Discrete and Fast Fourier Transform Made Clear Fourier analysis on finite groups and applications
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:57:05.692539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.