Paper Citation Record · LEDGER

Construction of Butson matrices using Fourier matrices as input

As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2504.15980.

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

pith.paper-citation-record.v1
2504.15980 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:23:13.770951Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

16 of 16 outbound references displayed

verified exact1
verified fuzzy10
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48bf8269-cbb3-4c87-af98-86d38a87b309 · outbound

This paper cites an unresolved cited work.

Construction of Butson matrices using Fourier matrices as input Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:23:14.063777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fe6bb993-acad-4ec9-88d7-a65820db5797 · outbound

This paper cites an unresolved cited work.

Construction of Butson matrices using Fourier matrices as input Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:23:14.048087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0c349029-3244-43ab-8cc7-0253ffce8457 · outbound

This paper cites an unresolved cited work.

Construction of Butson matrices using Fourier matrices as input Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:23:14.031108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f1235cfb-ab02-4d52-8f38-37c06acaf680 · outbound

This paper cites Farouk, Q.

Construction of Butson matrices using Fourier matrices as input Farouk, Q

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:14.013518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 23b56f95-1b79-46a1-ad84-fc92ca337385 · outbound

This paper cites Farouk, Q.

Construction of Butson matrices using Fourier matrices as input Farouk, Q

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.997155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ccc265de-0cca-47e2-a6b4-172307de7f86 · outbound

This paper cites Scarpis, Sui determinanti di valore massimo [On deter minants of maxi- mal value], Rendic R Istit Lombardo Sci Lett, (1898) 31: 1441 –1446.

Construction of Butson matrices using Fourier matrices as input Scarpis, Sui determinanti di valore massimo [On deter minants of maxi- mal value], Rendic R Istit Lombardo Sci Lett, (1898) 31: 1441 –1446

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.981790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce5dcabe-1dd0-42ec-94f8-f7be40fd0bf5 · outbound

This paper cites Dokovi` c, Generalization of Scarpis’ theorem on Hadamar d matrices, Linear and Multilinear Algebra, (2017) 65: 1985–1987.

Construction of Butson matrices using Fourier matrices as input Dokovi` c, Generalization of Scarpis’ theorem on Hadamar d matrices, Linear and Multilinear Algebra, (2017) 65: 1985–1987

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.967080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a2e02523-9377-49d3-a1d6-06048ec65572 · outbound

This paper cites Sargent, K.

Construction of Butson matrices using Fourier matrices as input Sargent, K

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.952208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d279a8f5-25f8-4495-b6a0-8893bbcfed07 · outbound

This paper cites Dita, Some results on the parametrization of complex H adamard ma- trices, Journal of Physics A: Mathematical and General, (20 04) 37(20): 5355–5374.

Construction of Butson matrices using Fourier matrices as input Dita, Some results on the parametrization of complex H adamard ma- trices, Journal of Physics A: Mathematical and General, (20 04) 37(20): 5355–5374

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.936621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 66886836-d5c9-4191-8fd8-aa3943aede78 · outbound

This paper cites Tadej, K.

Construction of Butson matrices using Fourier matrices as input Tadej, K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.921216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1e923820-46db-4b55-9654-1dd5b438219a · outbound

This paper cites Wallis, Complex Hadamard Matrices, Linear and Multi linear Algebra, (1937) 1: 257–272.

Construction of Butson matrices using Fourier matrices as input Wallis, Complex Hadamard Matrices, Linear and Multi linear Algebra, (1937) 1: 257–272

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.904817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7f20944d-8ec5-4d7a-87c2-85d7359a7bcb · outbound

This paper cites Construction, classification and parametrization of complex Hadamard matrices.

Construction of Butson matrices using Fourier matrices as input Construction, classification and parametrization of complex Hadamard matrices

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:23:13.819111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b5201d29-e408-4878-b5a5-2686480785bd · outbound

This paper cites Szöllősi, Parametrizing complex Hadamard matrices , European Journal of Combinatorics, (2008) 29: 1219–1234.

Construction of Butson matrices using Fourier matrices as input Szöllősi, Parametrizing complex Hadamard matrices , European Journal of Combinatorics, (2008) 29: 1219–1234

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.888056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b51b61cb-aa8f-4a7a-9f78-9049416fbf26 · outbound

This paper cites an unresolved cited work.

Construction of Butson matrices using Fourier matrices as input Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:23:13.871162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d9825774-0f36-449a-95ea-884ba24e8b24 · outbound

This paper cites an unresolved cited work.

Construction of Butson matrices using Fourier matrices as input Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:23:13.853648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 10294501-fd27-428d-9177-9c93f6a2d5a0 · outbound

This paper cites Beauchamp, R.

Construction of Butson matrices using Fourier matrices as input Beauchamp, R

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:23:13.836421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.