Paper Citation Record · LEDGER

Maximal curves with respect to quadratic extensions over finite fields

As of 8 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.08603.

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

pith.paper-citation-record.v1
2506.08603 v3

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:21:48.732545Z

measured 36 of 36 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 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

36 of 36 outbound references displayed

verified exact17
verified fuzzy14
unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0f10626-da6b-401b-acac-4696b5b5fb8e · outbound

This paper cites On the number of points on abelian and Jacobian varieties over finite fields.

Maximal curves with respect to quadratic extensions over finite fields On the number of points on abelian and Jacobian varieties over finite fields

Reference 1

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.891561Z

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.

Observation 3f12f40d-2d02-477c-b967-e50144351504 · outbound

This paper cites Optimal and maximal singular curves.

Maximal curves with respect to quadratic extensions over finite fields Optimal and maximal singular curves

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.212882Z

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.

Observation e4c1758a-1ea6-4ec9-9fd9-b3570b4ae2b2 · outbound

This paper cites On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields.

Maximal curves with respect to quadratic extensions over finite fields On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields

Reference 3

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.883102Z

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.

Observation 3c95d730-f6c1-4c6f-91d0-7e9b2dfe9fa9 · outbound

This paper cites Diophantine stability for curves over finite fields.

Maximal curves with respect to quadratic extensions over finite fields Diophantine stability for curves over finite fields

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:21:49.062349Z

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

Observation cbc91d3f-525e-4432-b722-764c477a943f · outbound

This paper cites Genus bounds for curves with fixed Frobenius eigenvalues.

Maximal curves with respect to quadratic extensions over finite fields Genus bounds for curves with fixed Frobenius eigenvalues

Reference 5

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.874675Z

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.

Observation c7475066-9e39-4ebd-8f1b-ac91e69b92c5 · outbound

This paper cites On Weierstrass points and optimal curves.

Maximal curves with respect to quadratic extensions over finite fields On Weierstrass points and optimal curves

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.204970Z

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.

Observation 91a0e22a-2535-4d95-8529-673e2367c7e5 · outbound

This paper cites A unified viewpoint for upper bounds for the number of points of curves over finite fields via Euclidean geome- try and semi-definite symmetric Toeplitz matrices.

Maximal curves with respect to quadratic extensions over finite fields A unified viewpoint for upper bounds for the number of points of curves over finite fields via Euclidean geome- try and semi-definite symmetric Toeplitz matrices

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.866204Z

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.

Observation e50e6e52-e418-4660-813c-9415d1dbfa88 · outbound

This paper cites The characteristic polynomials of abelian varieties of di- mension 3 over finite fields.

Maximal curves with respect to quadratic extensions over finite fields The characteristic polynomials of abelian varieties of di- mension 3 over finite fields

Reference 8

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.856518Z

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.

Observation bef31666-73d7-4f02-a823-c7fee23a0f72 · outbound

This paper cites The characteristic polynomials of abelian varieties of dimension 4 over finite fields.

Maximal curves with respect to quadratic extensions over finite fields The characteristic polynomials of abelian varieties of dimension 4 over finite fields

Reference 9

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.847436Z

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.

Observation 9fc313d5-d103-4b02-8c60-48b08460a31e · outbound

This paper cites an unresolved cited work.

Maximal curves with respect to quadratic extensions over finite fields Unresolved cited work

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.837903Z

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.

Observation 4bd461f4-91cc-4f8c-9dc2-d320f4526c6d · outbound

This paper cites Group codes on certain algebraic curves with many rational points.

Maximal curves with respect to quadratic extensions over finite fields Group codes on certain algebraic curves with many rational points

Reference 11

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.828960Z

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

Observation 2d60f439-d2bb-4f91-85b8-46961eea819d · outbound

This paper cites an unresolved cited work.

Maximal curves with respect to quadratic extensions over finite fields Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:49.196486Z

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.

Observation 477200c6-d733-4875-9208-3fd5d1507237 · outbound

This paper cites Supersingular genus-2 curves over fields of characteristic 3.

Maximal curves with respect to quadratic extensions over finite fields Supersingular genus-2 curves over fields of characteristic 3

Reference 13

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.819663Z

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.

Observation 1c78bef1-5e57-45c9-808e-99374637718f · outbound

This paper cites New methods for bounding the number of points on curves over finite fields.

Maximal curves with respect to quadratic extensions over finite fields New methods for bounding the number of points on curves over finite fields

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.188331Z

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.

Observation 48bc245d-cb72-4a72-8f0c-1ab5242e5561 · outbound

This paper cites Jacobians in isogeny classes of abelian surfaces over finite fields.

Maximal curves with respect to quadratic extensions over finite fields Jacobians in isogeny classes of abelian surfaces over finite fields

Reference 15

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.808348Z

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.

Observation dfc57379-fb37-4937-8c5c-7c08d8645851 · outbound

This paper cites Some remarks on the number of rational points of algebraic curves over finite fields.

Maximal curves with respect to quadratic extensions over finite fields Some remarks on the number of rational points of algebraic curves over finite fields

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.179812Z

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.

Observation 04dd1e37-3f29-4394-9579-466e717dc054 · outbound

This paper cites An inequality for the analysis of vari- ance.

Maximal curves with respect to quadratic extensions over finite fields An inequality for the analysis of vari- ance

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.171464Z

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.

Observation 99a82eb9-cf36-4c35-b7f9-e7b96aed1b8a · outbound

This paper cites Obere Schranken f¨ ur die Punktanzahl von Kurven ¨ uber endlichen K¨ orpern.

Maximal curves with respect to quadratic extensions over finite fields Obere Schranken f¨ ur die Punktanzahl von Kurven ¨ uber endlichen K¨ orpern

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.162929Z

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.

Observation 095c139a-5dea-40bb-b2ef-c727763e93cb · outbound

This paper cites The L-functions and modular forms database.

Maximal curves with respect to quadratic extensions over finite fields The L-functions and modular forms database

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.153966Z

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.

Observation 9e3e9ec0-6ade-4c60-b094-2d70bc3ee530 · outbound

This paper cites Abelian surfaces over finite fields as Jaco- bians.

Maximal curves with respect to quadratic extensions over finite fields Abelian surfaces over finite fields as Jaco- bians

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:21:49.050806Z

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.

Observation ab893e07-11ba-4065-b63f-022d12cfc3c5 · outbound

This paper cites Zeta functions of supersingular curves of genus 2.

Maximal curves with respect to quadratic extensions over finite fields Zeta functions of supersingular curves of genus 2

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.145827Z

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.

Observation ac552999-1704-4931-a861-adbf86784fd9 · outbound

This paper cites Weil polynomials of small degree.

Maximal curves with respect to quadratic extensions over finite fields Weil polynomials of small degree

Reference 22

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.799116Z

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.

Observation 5d52f14a-660d-4e4f-a3d5-979d88737bca · outbound

This paper cites Diophantine stability.

Maximal curves with respect to quadratic extensions over finite fields Diophantine stability

Reference 23

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:21:48.980208Z

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.

Observation b82cb5da-2cae-40c1-bc8b-c40a50665a6b · outbound

This paper cites an unresolved cited work.

Maximal curves with respect to quadratic extensions over finite fields Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:49.137816Z

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.

Observation acd50649-2e85-42a6-a2d0-9b1ad845ef5e · outbound

This paper cites An exhaustive com- puter search for finding new curves with many points among fibre products of two Kummer covers over F5 and F7.

Maximal curves with respect to quadratic extensions over finite fields An exhaustive com- puter search for finding new curves with many points among fibre products of two Kummer covers over F5 and F7

Reference 25

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.789579Z

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.

Observation 044f9b38-4b18-4f7d-bf79-b1425c11255c · outbound

This paper cites Abelian surfaces and Jacobian varieties over finite fields.

Maximal curves with respect to quadratic extensions over finite fields Abelian surfaces and Jacobian varieties over finite fields

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.129638Z

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.

Observation f7cd454f-9646-41aa-86fa-30cb74294461 · outbound

This paper cites A characterization of Hermitian func- tion fields over finite field.

Maximal curves with respect to quadratic extensions over finite fields A characterization of Hermitian func- tion fields over finite field

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.779008Z

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.

Observation 85ab6ce7-3a31-44bd-8078-27f86ce7f87d · outbound

This paper cites The Maximum Number of Points on a Curve of Genus 4 over F8 is 25.

Maximal curves with respect to quadratic extensions over finite fields The Maximum Number of Points on a Curve of Genus 4 over F8 is 25

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T05:21:48.768934Z

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.

Observation d11a51cb-1008-4b95-b61e-343afad7cb73 · outbound

This paper cites an unresolved cited work.

Maximal curves with respect to quadratic extensions over finite fields Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:49.121807Z

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.

Observation 40ddccaf-be0e-47b4-8cff-8e9995a377d3 · outbound

This paper cites Sur le nombre des points rationnels d’une courbe alg´ ebrique sur un corps fini.

Maximal curves with respect to quadratic extensions over finite fields Sur le nombre des points rationnels d’une courbe alg´ ebrique sur un corps fini

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.113820Z

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.

Observation 9f4a02f8-bac8-452d-8bb5-d4972971bce5 · outbound

This paper cites The Newton polygons of the characteristic polynomials for abelian varieties of dimension 5 over finite fields.

Maximal curves with respect to quadratic extensions over finite fields The Newton polygons of the characteristic polynomials for abelian varieties of dimension 5 over finite fields

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.105247Z

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.

Observation fa735a6c-f6a7-4d5b-8404-efc04a7036b1 · outbound

This paper cites Classes d’isog´ enies des vari´ et´ es ab´ eliennes sur un corps fini (d’apr` es T. Honda).

Maximal curves with respect to quadratic extensions over finite fields Classes d’isog´ enies des vari´ et´ es ab´ eliennes sur un corps fini (d’apr` es T. Honda)

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.097232Z

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

Observation c749e4c1-2f6b-40ce-b7d3-2ce17a2a2c60 · outbound

This paper cites Endomorphisms of abelian varieties over finite fields.

Maximal curves with respect to quadratic extensions over finite fields Endomorphisms of abelian varieties over finite fields

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T05:21:48.723595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c2b8524-d611-451f-8bc9-c00651338480 · outbound

This paper cites van der Geer et al.

Maximal curves with respect to quadratic extensions over finite fields van der Geer et al

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.088357Z

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

Observation be176687-e34f-4fda-8144-a5e4dd8794ca · outbound

This paper cites Abelian varieties over finite fields.

Maximal curves with respect to quadratic extensions over finite fields Abelian varieties over finite fields

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:49.080034Z

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

Observation ccbd469d-4787-48cc-885c-aa514259297b · outbound

This paper cites an unresolved cited work.

Maximal curves with respect to quadratic extensions over finite fields Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:49.071051Z

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.

Pith citing papers

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