Paper Citation Record · LEDGER

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces

As of 21 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2507.13280.

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

pith.paper-citation-record.v1
2507.13280 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:40:53.271126Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:37:11.652248Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact2
verified fuzzy19
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c3361646-35fc-4d83-908b-0d7ddae6d1fb · outbound

This paper cites Springer International Publishing, Cham, 2020.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Springer International Publishing, Cham, 2020

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.996597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 686bd0c4-2b26-4be4-8ea9-9a3146b22578 · outbound

This paper cites The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces The algebraic Green-Griffiths-Lang conjecture for complements of very general pairs of divisors

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:53.450001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1f70046d-bc17-4cb8-b5f8-2901fbff6650 · outbound

This paper cites Families of curves on a surface of general type.Dokl.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Families of curves on a surface of general type.Dokl

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.934410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 96f2817c-47f9-4a99-81d4-da73f4a48c55 · outbound

This paper cites Hypertangency of plane curves and the algebraic ex- ceptional set.Proceedings of the London Mathematical Society, 130(6):e70063, 2025.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Hypertangency of plane curves and the algebraic ex- ceptional set.Proceedings of the London Mathematical Society, 130(6):e70063, 2025

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.853357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 80999e88-6507-424e-9420-625f38a784eb · outbound

This paper cites Tropical curves of unibranch points and hypertangency,.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Tropical curves of unibranch points and hypertangency,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.797910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e4b01ba-7cdb-419a-a398-8c6a22ee0c3c · outbound

This paper cites On algebraic hyperbolicity of log varieties.Commun.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces On algebraic hyperbolicity of log varieties.Commun

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.729773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fee4ae85-77ff-45c1-9baf-6a243ae3e293 · outbound

This paper cites Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Algebraic Hyperbolicity of Complements of Generic Hypersurfaces in Projective Spaces

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:40:53.366990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cbae947a-e02c-41d5-b5e1-56c639345881 · outbound

This paper cites Some cases of Vojta’s conjecture on integral points over function fields.J.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Some cases of Vojta’s conjecture on integral points over function fields.J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.660663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2182db15-2c0b-447a-b2bb-ffa259ad0d18 · outbound

This paper cites Algebraic hyperbolicity of ramified covers ofG2 m (and integral points on affine subsets ofP2).J.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Algebraic hyperbolicity of ramified covers ofG2 m (and integral points on affine subsets ofP2).J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.584618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 852c4741-3a24-4c32-8874-f97fc8897680 · outbound

This paper cites On a class of rational cuspidal plane curves.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces On a class of rational cuspidal plane curves

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.508944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ac9c8531-ce71-46b1-9ed6-3140e3dd9a59 · outbound

This paper cites an unresolved cited work.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:40:54.433713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7ff01fd8-a045-4f1b-8fbe-b1d4e593fdfd · outbound

This paper cites An approach to plane algebroid branches.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces An approach to plane algebroid branches

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.350122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a9ce9819-38b3-4bb7-87fc-d5d9c7a353d0 · outbound

This paper cites Nguyen, Chia-Liang Sun, and Julie Tzu-Yueh Wang.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Nguyen, Chia-Liang Sun, and Julie Tzu-Yueh Wang

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.276080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5735bb6-612d-49a1-9f1d-c3deb98659be · outbound

This paper cites 52 ofGraduate Texts in Mathematics.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces 52 ofGraduate Texts in Mathematics

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:53.048191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6575cc38-f8d7-4acd-9c0d-0fea489117ec · outbound

This paper cites Hyperbolic and Diophantine analysis.Bull.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Hyperbolic and Diophantine analysis.Bull

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.190731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 04cd44a6-934c-4d24-99c8-cb75e931a06b · outbound

This paper cites I, volume 48 ofErgebnisse der Mathe- matik und ihrer Grenzgebiete.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces I, volume 48 ofErgebnisse der Mathe- matik und ihrer Grenzgebiete

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.128025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8b64582d-07c7-4948-a1c2-243f1a21a71c · outbound

This paper cites Bounding curves in algebraic surfaces by genus and Chern numbers.Math.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Bounding curves in algebraic surfaces by genus and Chern numbers.Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:54.066324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5b75824d-400b-4356-8a86-16b19c14207d · outbound

This paper cites Diophantine approximations and foliations.Publications Mathématiques de l’IHÉS, 87:121–174, 1998.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Diophantine approximations and foliations.Publications Mathématiques de l’IHÉS, 87:121–174, 1998

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:53.996775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a57e1cd1-f04f-4ead-a326-5b521442d266 · outbound

This paper cites an unresolved cited work.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:40:53.925653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 11e672b5-7b50-4b3b-afe5-4ed61849ea9d · outbound

This paper cites Pencils of plane cubics with one base point.Rendiconti del Circolo Matematico di Palermo Series 2, 74(1):60, 2025.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Pencils of plane cubics with one base point.Rendiconti del Circolo Matematico di Palermo Series 2, 74(1):60, 2025

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:53.868662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54580223-d45a-4c93-9964-2462ab98ff57 · outbound

This paper cites On the logarithmic Kobayashi conjecture.J.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces On the logarithmic Kobayashi conjecture.J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:53.803153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3332cd16-63ae-412a-a5c8-b53957652451 · outbound

This paper cites Remarque sur la multiplicité d’intersection des branches planes.Bull.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Remarque sur la multiplicité d’intersection des branches planes.Bull

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:53.721190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1088ad67-c6ca-4973-a73a-38724f59185a · outbound

This paper cites Cohomology of divisors on hirzebruch surfaces.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Cohomology of divisors on hirzebruch surfaces

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:53.655789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3542b090-30a9-41af-88ac-35e7861e3a7b · outbound

This paper cites The stacks project.https://stacks.math.columbia.edu, 2024.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces The stacks project.https://stacks.math.columbia.edu, 2024

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T16:40:53.252326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3a58781-dae2-41dd-b65c-c234905479c1 · outbound

This paper cites Springer-Verlag, Berlin, 1987.

Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces Springer-Verlag, Berlin, 1987

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:40:53.531631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 19c4f823-9702-4884-84e7-dfbaa2a314a5 · inbound

Conic linear series and pencils of plane quartics cites this paper.

Conic linear series and pencils of plane quartics Algebraic Exceptional Set of a Three-Component Curve on Hirzebruch Surfaces

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T22:37:11.652248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.