Paper Citation Record · LEDGER

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs

As of 23 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2508.10348.

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

pith.paper-citation-record.v1
2508.10348 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T20:43:38.840598Z

measured 45 of 45 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T03:44:12.780508Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T03:46:32.075541Z

Reference resolution

44 of 44 outbound references displayed

verified exact3
verified fuzzy24
unresolved17
parse uncertain0
malformed identifier0
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External citation measurements

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Outbound references

Observation 0b417cb4-ddff-4131-9efa-77833bc739b1 · outbound

This paper cites Akhtar, M.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Akhtar, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.711253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d87cfc52-b287-4219-b11a-c0eb5ad6f8c1 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.697503Z

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Observation 58e989f8-3ae8-43ef-b839-e4e0345d1124 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.683028Z

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Observation c2904232-c299-4275-a28e-54a172591b71 · outbound

This paper cites Ba ˇsi´c, M.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Ba ˇsi´c, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.669183Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ac2cb2cd-141b-44ba-98e3-e56695843de1 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.655610Z

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Observation 3de94a54-368a-4d89-87ac-838e375350dd · outbound

This paper cites Carlitz, A theorem on permutations in a finite field, Proceedings of the American Mathematical Society 11 (1960), no.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Carlitz, A theorem on permutations in a finite field, Proceedings of the American Mathematical Society 11 (1960), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.641010Z

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Observation 95c5a967-d4db-4e58-99a6-91f7431d65fb · outbound

This paper cites 10, 2468–2474.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 10, 2468–2474

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.626262Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bf9c8cce-b30c-4bb3-aaf7-02a7ff6ae787 · outbound

This paper cites Nguyen, and Nguyen Duy Tan,Fekete polynomials of princi- pal Dirichlet characters, The Journal of Experimental Mathematics 1 (2025), no.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Nguyen, and Nguyen Duy Tan,Fekete polynomials of princi- pal Dirichlet characters, The Journal of Experimental Mathematics 1 (2025), no

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.610149Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fae39b10-7898-40b0-b434-0cb794e0c165 · outbound

This paper cites Nguyen, Sophie Spirkl, and Nguyˆen Duy T ˆan, On prime Cayley graphs , arXiv:2401.06062, to appear in Journal of Combinatorics (2024).

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Nguyen, Sophie Spirkl, and Nguyˆen Duy T ˆan, On prime Cayley graphs , arXiv:2401.06062, to appear in Journal of Combinatorics (2024)

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-05T20:43:39.135716Z

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Observation f5c63a98-0f53-40ac-b0ff-f3da84744d2f · outbound

This paper cites 5, 2359–2392.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 5, 2359–2392

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.594282Z

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Observation 58e598f8-15f5-46c5-8769-7fb035859b53 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.572486Z

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Observation e5f89f09-ce62-457e-8288-3a4e5a46039c · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.558649Z

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Observation 6bf59486-74ef-4de9-a867-b9f300efa6e4 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.544596Z

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Observation e533e858-606e-4669-9432-726abd6d792e · outbound

This paper cites 6, 406–415.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 6, 406–415

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.531153Z

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Observation 3338b908-414a-456b-adf2-f7fe5ebe650f · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.517167Z

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Observation da0bb6a5-c1d1-45aa-8328-a2b857eaa204 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.502366Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8d47baec-21cc-4123-a314-6c170add266d · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.487304Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b945d48a-df51-4d79-9f00-ca320c0420d6 · outbound

This paper cites 305, Springer Nature, 2020.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 305, Springer Nature, 2020

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.470767Z

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Observation fb31e273-bad6-4b4c-93d5-74f96b4a8fcf · outbound

This paper cites 6th China-Japan Sem.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 6th China-Japan Sem

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.456420Z

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Observation 2ea331d3-1073-4634-91e2-507241850506 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.440731Z

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Observation 5601adcd-8223-4d1f-ae26-15cf15d84ac5 · outbound

This paper cites 1, R45, 12 pages.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 1, R45, 12 pages

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.424294Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b1ef6f0b-707d-4cc0-88bb-5b1eb4cbc34f · outbound

This paper cites 3, 149–196.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 3, 149–196

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.410549Z

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Observation c14b815c-0ecd-45ea-a323-c3aa182e8e21 · outbound

This paper cites Lemmermeyer, Quadratic number fields , Springer Undergraduate Mathematics Series, Springer, 2021.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Lemmermeyer, Quadratic number fields , Springer Undergraduate Mathematics Series, Springer, 2021

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.395481Z

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Observation b0f56f49-482d-41a1-84fb-ddb46ba7a9f1 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.380556Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c12f7466-fb80-4495-8e12-814a9f28319e · outbound

This paper cites 17, 3643.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 17, 3643

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.366687Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 37123a31-1e15-4fad-bf0e-417eb6dd4856 · outbound

This paper cites Nguyen, and Federico W.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Nguyen, and Federico W

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.353014Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 74625b48-a0b3-479d-896b-37f8d419ed1c · outbound

This paper cites 3, 527–542.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 3, 527–542

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.339237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 709e11d3-de2f-47db-a63c-e69db91bef5e · outbound

This paper cites Nguyen, and Nguyen Duy T ˆan, Fekete polynomials, quadratic residues, and arith- metic, Journal of Number Theory 242 (2023), 532–575.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Nguyen, and Nguyen Duy T ˆan, Fekete polynomials, quadratic residues, and arith- metic, Journal of Number Theory 242 (2023), 532–575

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.323753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5de1bf06-2196-4810-97ff-763d3ce5bae0 · outbound

This paper cites Isomorphic gcd-graphs over polynomial rings.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Isomorphic gcd-graphs over polynomial rings

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-05T20:43:38.773751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44f97b9c-46bc-4768-bd05-f78e6e16535f · outbound

This paper cites Nguyen, and Nguyen Duy Tˆan, On the arithmetic of generalized Fekete polynomials, Experimental Mathematics 33 (2024), no.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Nguyen, and Nguyen Duy Tˆan, On the arithmetic of generalized Fekete polynomials, Experimental Mathematics 33 (2024), no

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.306390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation df054e19-7f96-4301-b2ce-014f624aa0a1 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.289004Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 58600718-e188-44c0-9eff-085eca187fa4 · outbound

This paper cites On certain properties of the $p$-unitary Cayley graph over a finite ring.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs On certain properties of the $p$-unitary Cayley graph over a finite ring

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T20:43:38.786083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e62eba59-4441-4145-a67b-d8511e9c0674 · outbound

This paper cites Nguyen and Nguyen Duy T ˆan, Integral cayley graphs over a finite symmetric algebra , Archiv der Mathematik 124 (2025), 615–623.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Nguyen and Nguyen Duy T ˆan, Integral cayley graphs over a finite symmetric algebra , Archiv der Mathematik 124 (2025), 615–623

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.273903Z

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Observation 70f308c7-858f-41d4-98d4-b38f748a0ad7 · outbound

This paper cites On gcd-graphs over finite rings.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs On gcd-graphs over finite rings

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:43:38.929920Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6ae6be78-16c8-4f43-9af9-ef8bb9ba3d64 · outbound

This paper cites Perfect State Transfer on gcd-graphs.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Perfect State Transfer on gcd-graphs

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-05T20:43:38.903536Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 55f80bf1-31b6-4761-8503-54a0faf3572a · outbound

This paper cites 1-4, 311–320.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 1-4, 311–320

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.260041Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c0e265de-1397-4f7a-bb75-2d4ea0051640 · outbound

This paper cites Spectral properties of generalized Paley graphs and their associated irreducible cyclic codes.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Spectral properties of generalized Paley graphs and their associated irreducible cyclic codes

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-05T20:43:38.809664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation faa6fa96-3745-48fc-8768-c261c3a47828 · outbound

This paper cites 5, 112324.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 5, 112324

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.246064Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b10afe79-2236-4373-8ee1-8e067826ba42 · outbound

This paper cites 10, 113567.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 10, 113567

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.231732Z

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Observation 24fd082c-e780-4c3c-8155-10c7300f121a · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.216107Z

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Observation cdca4da2-b889-4cf2-a259-29b16c13cbe3 · outbound

This paper cites an unresolved cited work.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-05T20:43:39.200540Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 21f61a69-3f14-42d9-965b-c11440bd2875 · outbound

This paper cites 4, 379–384.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 4, 379–384

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.183719Z

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Observation 67c44628-a72e-4a14-aa44-370b0f89699f · outbound

This paper cites 1, 153–158.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 1, 153–158

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.167545Z

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Observation 415f0901-3b35-4fa6-9f78-25b2eb9aae02 · outbound

This paper cites 3, 353–363.

Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs 3, 353–363

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T20:43:39.150580Z

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Pith citing papers

Observation e13a7a5b-78f1-4090-9f9b-ebe020821149 · inbound

Sums of units in finite rings and applications to Cayley graphs cites this paper.

Sums of units in finite rings and applications to Cayley graphs Supercharacters of finite abelian groups and applications to spectra of $U$-unitary Cayley graphs

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T03:46:32.077288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.