Pith. sign in

Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.677295Z digest=sha256:e1fbd0f6897b45f8c92bd3c21bc6dec03f7e40014cd2e7688f484b7bcfcfc412

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.709755Z digest=sha256:1094d698d8ac21bfc908c54756c64ef7ecdbd614e05284c02091da8df07e4f6f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.741221Z digest=sha256:002a45c52ccf2da67ced792fb7f5040c3e88925c66f61e87261e91398dac994f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.775675Z digest=sha256:dd7efd699ada7815661460751cafcef7f9952abcaec02d9f4f1dbdaf063016ed

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.803611Z digest=sha256:e721f7c3656e774d572a93b228fdacd79ae6fe422b5600aabd93ffb55ef0d10e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.836377Z digest=sha256:187abb0c048d82e7d1bf2c3f2844db7a550273f7bc4f12854f3d6e2226b7a7f0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.870323Z digest=sha256:9ae63a735c301da53bfbf90602bd3b6e76695cddba178efd41c1b35c73a4412a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.907120Z digest=sha256:6a3c64b517cd649195b43706b6092b2a54e06adc59f8a347f24a104497f0a20e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.931034Z digest=sha256:69c9689c639e99e7309fe3633f673bb9f05ebda5993d3195344626b7915c51c3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.952063Z digest=sha256:bfeb381c83deaea57074c00f77cd4b83c9c9ef502985eb7e025296c36158ca14

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:52.977465Z digest=sha256:9510bd50ccc4eb82dc10bd231ca2eb9624d27544388937940784bff149f47f96

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.005757Z digest=sha256:3031f70fbf104d10418cd13392c0ab9445dfa44708e4c138b7eaba8bc40b5da0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.030414Z digest=sha256:e8611280153f0520579199eace69d3c60326465be589696e4e6c52f68787f4c5

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.

source=pdf_text observed=2026-08-06T16:40:53.048191Z digest=sha256:73c6414e815bef9a285e59c924a88886d98f60350b65ab12c265448858b6e405

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.067462Z digest=sha256:6368fb573eaa2067e9ba19fb595ce42d6cb3569c0ad800b15eae969e0bbd2730

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.080280Z digest=sha256:4e2699f6d5db74fccab92e3886db048b0c5b154f0b25bdef39f810b4e2f5360a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.103513Z digest=sha256:8876d3cf3deff4524b666111ea95985f799bef3f85ced8eaf3081c3da60bc184

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.114115Z digest=sha256:f25754b03fde8d84b8c0db5d5b9a8bd4ce67d6d8bbbb7095c81129b1589e601d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.131455Z digest=sha256:e8b682e2bc5474f06d8d5a9de1271e9d037ee380cb143f2f4f2605e4d732781b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.160301Z digest=sha256:fbb1757bf3418b49f134f48926f54d19fce6cf8d848fc4c875f4b3c3ce17c80d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.179702Z digest=sha256:0ab2821399d2fc543870d8795a5c0c664c16396e16b055d34fe7839776976805

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.200000Z digest=sha256:1484c641f8a5c5277666cb7bc18b3bf9ef07fde516f51b38711988b51577edf1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.234762Z digest=sha256:7e60b291c9f862c746b99937d1ddbe57161acfa968e8ad09767d84ec15c3e74d

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.

source=pdf_text observed=2026-08-06T16:40:53.252326Z digest=sha256:12a0daa5f2ccb40c739b101a46290a187bb27f1d380c4a43f4593c205d0b6de1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T16:40:53.271126Z digest=sha256:c7954879a7063f5bcf7690aa62c0613dc1f45812cf1e5fec193df261b6e4f2dd

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.

source=pdf_text observed=2026-08-03T22:37:11.652248Z digest=sha256:42dab78f63218e6240033ff4381878167bea00cbdd2715aa5643a5ad8f78701f