Paper Citation Record · LEDGER

Full classification of exceptional rational functions of degree five over finite fields

As of 10 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2607.05075.

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

pith.paper-citation-record.v1
2607.05075 v2

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:42:25.675768Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

14 of 14 outbound references displayed

verified exact2
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 152e54d0-19fa-4167-bda4-13a8ee817e35 · outbound

This paper cites Cohen, The distribution of polynomials over finite fields, Acta Arith.

Full classification of exceptional rational functions of degree five over finite fields Cohen, The distribution of polynomials over finite fields, Acta Arith

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:24.296813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c06f0979-b993-45d1-847b-102a18f97229 · outbound

This paper cites Zieve, Low-degree permutation rational functions over finite fields, Acta Arith.

Full classification of exceptional rational functions of degree five over finite fields Zieve, Low-degree permutation rational functions over finite fields, Acta Arith

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:24.371547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 641301d7-c002-4a1d-a0ff-e81398449e32 · outbound

This paper cites Fried and Moshe Jarden, Field arithmetic, 3rd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete.

Full classification of exceptional rational functions of degree five over finite fields Fried and Moshe Jarden, Field arithmetic, 3rd ed., Ergebnisse der Mathematik und ihrer Grenzgebiete

Reference 3

Resolution: verified exact; doi, observed 2026-08-02T08:43:26.268056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d109a80a-093f-433a-933f-74eac23159e3 · outbound

This paper cites Fried, Robert Guralnick, and Jan Saxl, Schur covers and Carlitz's conjecture, Israel J.

Full classification of exceptional rational functions of degree five over finite fields Fried, Robert Guralnick, and Jan Saxl, Schur covers and Carlitz's conjecture, Israel J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:24.588406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b23bc3d2-56a0-4fbc-8dbe-a774381d69b4 · outbound

This paper cites Codes Cryptogr.

Full classification of exceptional rational functions of degree five over finite fields Codes Cryptogr

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:24.695594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 301d7204-16ef-46c8-ba56-c267a4175cc5 · outbound

This paper cites Fried, Global construction of general exceptional covers with motivation for applications to encoding, in Finite fields: Theory, applications, and algorithms (Gary L.

Full classification of exceptional rational functions of degree five over finite fields Fried, Global construction of general exceptional covers with motivation for applications to encoding, in Finite fields: Theory, applications, and algorithms (Gary L

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:24.781901Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6436fc9a-6f4e-4bec-b103-21931679666f · outbound

This paper cites Guralnick, Peter Müller, and Jan Saxl, The rational function analogue of a question of S chur and exceptionality of permutation representations , Mem.

Full classification of exceptional rational functions of degree five over finite fields Guralnick, Peter Müller, and Jan Saxl, The rational function analogue of a question of S chur and exceptionality of permutation representations , Mem

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:24.890166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 975180dc-724f-4130-a4b2-37a93c57c3f2 · outbound

This paper cites an unresolved cited work.

Full classification of exceptional rational functions of degree five over finite fields Unresolved cited work

Reference 8

Resolution: verified exact; doi, observed 2026-08-02T08:43:25.965937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3754d15b-a49a-4cd5-9629-f045a68a43e1 · outbound

This paper cites Algebra 49 (2021), no.

Full classification of exceptional rational functions of degree five over finite fields Algebra 49 (2021), no

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:25.138709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12f6b675-725d-4e36-8eab-a20c9d5d7ed9 · outbound

This paper cites 20, Cambridge University Press, Cambridge, 1997, doi:10.1017/CBO9780511525926 https://doi.org/10.1017/CBO9780511525926.

Full classification of exceptional rational functions of degree five over finite fields 20, Cambridge University Press, Cambridge, 1997, doi:10.1017/CBO9780511525926 https://doi.org/10.1017/CBO9780511525926

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:25.256608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01f66ca0-a8c1-4d24-bc81-6036947d64c8 · outbound

This paper cites 3 (1997), no.

Full classification of exceptional rational functions of degree five over finite fields 3 (1997), no

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:25.374532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de85c872-cf50-4812-b95f-23e204873281 · outbound

This paper cites Silverman, The arithmetic of elliptic curves, 2nd ed., Graduate Texts in Mathematics, vol.

Full classification of exceptional rational functions of degree five over finite fields Silverman, The arithmetic of elliptic curves, 2nd ed., Graduate Texts in Mathematics, vol

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:25.487513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4aa81e58-3699-4f24-86b9-08df0a583bca · outbound

This paper cites 254, Springer, Berlin, Heidelberg, 2009, doi:10.1007/978-3-540-76878-4 https://doi.org/10.1007/978-3-540-76878-4.

Full classification of exceptional rational functions of degree five over finite fields 254, Springer, Berlin, Heidelberg, 2009, doi:10.1007/978-3-540-76878-4 https://doi.org/10.1007/978-3-540-76878-4

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:25.628020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a147560f-5a9d-41bb-ba6a-03982e6fef81 · outbound

This paper cites dissertation, University of South Florida, Tampa, FL, 2023, web page https://digitalcommons.usf.edu/etd/9934/.

Full classification of exceptional rational functions of degree five over finite fields dissertation, University of South Florida, Tampa, FL, 2023, web page https://digitalcommons.usf.edu/etd/9934/

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T08:42:25.675768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.