Paper Citation Record · LEDGER

Maximal curves over finite fields and a modular isogeny

As of 20 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2504.18894.

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

pith.paper-citation-record.v1
2504.18894 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:14:51.760249Z

measured 14 of 14 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:35:20.131732Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:35:20.499227Z

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy8
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0f0214e-07db-4021-a22f-e0d17c33c71e · outbound

This paper cites On smooth plane models for modular curves of Shimura type.

Maximal curves over finite fields and a modular isogeny On smooth plane models for modular curves of Shimura type

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.096158Z

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 c0a52703-99ca-4425-82af-cd8549635560 · outbound

This paper cites Reciprocal po lynomials and curves with many points over a ﬁnite ﬁeld.

Maximal curves over finite fields and a modular isogeny Reciprocal po lynomials and curves with many points over a ﬁnite ﬁeld

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T10:14:51.730834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21c6e22a-21da-4431-a39b-b486b6247586 · outbound

This paper cites Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields.

Maximal curves over finite fields and a modular isogeny Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields

Reference 21

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T10:14:51.967061Z

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 96157e91-dfe9-4186-a176-a07b37389a75 · outbound

This paper cites Constraints on the automorphism grou p of a curve.

Maximal curves over finite fields and a modular isogeny Constraints on the automorphism grou p of a curve

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.032303Z

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 4e5058a4-1c95-4d31-8355-fd12666e01e1 · outbound

This paper cites Deﬁning equations of modular curves X0pN q.

Maximal curves over finite fields and a modular isogeny Deﬁning equations of modular curves X0pN q

Reference 153

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.000037Z

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 069d40f7-ff4c-486b-bab5-66fec82d3c62 · outbound

This paper cites Finiteness results for modular curves of genus at least 2.

Maximal curves over finite fields and a modular isogeny Finiteness results for modular curves of genus at least 2

Reference 213

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.080699Z

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 62397e4f-4f49-43ac-a125-1428762b2315 · outbound

This paper cites Semistable reduction of modular curves associated with maximal sub- groups in prime level.

Maximal curves over finite fields and a modular isogeny Semistable reduction of modular curves associated with maximal sub- groups in prime level

Reference 228

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.047776Z

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 79e1ae83-9e16-4661-b44c-1b495f26ed21 · outbound

This paper cites Inegalite relative des genres (and an a ppendix with Michel Matignon.

Maximal curves over finite fields and a modular isogeny Inegalite relative des genres (and an a ppendix with Michel Matignon

Reference 254

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:51.983999Z

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 be599e18-d8e4-435f-a2a6-743d323500e8 · outbound

This paper cites Lecture Notes in Math., Vol.

Maximal curves over finite fields and a modular isogeny Lecture Notes in Math., Vol

Reference 1972

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.065061Z

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 dae2ee46-9c0d-4800-8589-87360d97331d · outbound

This paper cites d-gonality of modular curves and bounding torsions.

Maximal curves over finite fields and a modular isogeny d-gonality of modular curves and bounding torsions

Reference 1996

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:14:51.821863Z

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 e523d9d7-15a0-4646-a958-1ebdcac70a88 · outbound

This paper cites Computing actions on cusp forms.

Maximal curves over finite fields and a modular isogeny Computing actions on cusp forms

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-16T10:14:51.760249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77ec6190-60a1-4c19-b8ba-2793c342a746 · outbound

This paper cites Congruences of elliptic curves arisi ng from nonsurjective mod N Galois representations.

Maximal curves over finite fields and a modular isogeny Congruences of elliptic curves arisi ng from nonsurjective mod N Galois representations

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-16T10:14:51.725536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da585d52-ed15-4ccf-b63e-d99e6eb1a04a · outbound

This paper cites Equations and rational points of the mo dular curves X ` 0 ppq.

Maximal curves over finite fields and a modular isogeny Equations and rational points of the mo dular curves X ` 0 ppq

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:14:52.016106Z

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

Observation 38bc4cb9-629b-46db-84ad-f2dd3d452f5f · inbound

Point counts, automorphisms, and gonalities of Shimura curves cites this paper.

Point counts, automorphisms, and gonalities of Shimura curves Maximal curves over finite fields and a modular isogeny

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:35:20.505003Z

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.