Paper Citation Record · LEDGER

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces

As of 20 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2512.20744.

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

pith.paper-citation-record.v1
2512.20744 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T14:26:49.578406Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T02:13:57.674945Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T22:56:15.707345Z

Reference resolution

14 of 14 outbound references displayed

verified exact0
verified fuzzy0
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 073a0d3c-f667-421c-9c31-af8ca34e9cca · outbound

This paper cites Alexeev, Classification of log-canonical surface singularities: arithmetical proof, Ast\'erisque 211, Soci\'et\'e Math\'ematique de France, Paris, 1992.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Alexeev, Classification of log-canonical surface singularities: arithmetical proof, Ast\'erisque 211, Soci\'et\'e Math\'ematique de France, Paris, 1992

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.078675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de7bc013-38d0-4bd9-b83f-a746aeb3d36a · outbound

This paper cites Barth, K.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Barth, K

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.148651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4dc90b4-14ae-406c-8d5a-b34a2526d6ea · outbound

This paper cites Brunella, Birational Geometry of Foliations, IMPA Monographs 1, Springer, Cham, 2015.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Brunella, Birational Geometry of Foliations, IMPA Monographs 1, Springer, Cham, 2015

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.203651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea9a6afa-3f2f-4dd3-ab9c-c40b17e84612 · outbound

This paper cites Minimal model program for algebraically integrable adjoint foliated structures.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Minimal model program for algebraically integrable adjoint foliated structures

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.237628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b26e83b-45e4-483a-bbda-38fbc4d1e562 · outbound

This paper cites Chen, Log canonical foliation singularities on surfaces, Math.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Chen, Log canonical foliation singularities on surfaces, Math

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.273430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98c24e7d-fd27-4ad3-98d3-4168400f3e2f · outbound

This paper cites Koll\'ar and S.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Koll\'ar and S

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.311928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3361208b-49f1-473c-aab6-174c4bb534e4 · outbound

This paper cites B a descu, Algebraic Surfaces, Universitext, Springer, New York, 2001.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces B a descu, Algebraic Surfaces, Universitext, Springer, New York, 2001

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.351860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 64306f4e-9915-4e7b-b8b2-e3749a706c4e · outbound

This paper cites Canonical Models of Adjoint Foliated Structures on Surfaces.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Canonical Models of Adjoint Foliated Structures on Surfaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.386002Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58ddb1b7-4402-40bd-a1f9-953fa53f1c71 · outbound

This paper cites Lu, Unboundedness of foliated varieties, Internat.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Lu, Unboundedness of foliated varieties, Internat

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.419181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28734395-0510-42d9-8be5-1ec115540fe5 · outbound

This paper cites McQuillan, Canonical models of foliations, Pure Appl.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces McQuillan, Canonical models of foliations, Pure Appl

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.453271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a1d9a15-7813-41b7-b379-47fc584acaa8 · outbound

This paper cites an unresolved cited work.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.470193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16cb6c6b-bae8-4c34-af6b-f6feb400923c · outbound

This paper cites Seidenberg, Reduction of singularities of the differential equation \(Ady=Bdx\), Amer.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Seidenberg, Reduction of singularities of the differential equation \(Ady=Bdx\), Amer

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.525673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation beeda60b-645e-481b-9c6b-d9bc8fcbce30 · outbound

This paper cites Spicer and R.

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Spicer and R

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.565428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 219b7527-6260-4ec4-afa5-a07d063fa1c2 · outbound

This paper cites Vassiliadis, Explicit bounds on foliated surfaces and the Poincar\'e problem, arXiv:2511.08388 (2025).

Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces Vassiliadis, Explicit bounds on foliated surfaces and the Poincar\'e problem, arXiv:2511.08388 (2025)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T14:26:49.578406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fefff2bc-a1b4-470f-94e9-c9b041a146a9 · inbound

Birational boundedness of stable families cites this paper.

Birational boundedness of stable families Numerical Reduction and Sharp Thresholds for Adjoint Singularities of Foliated Surfaces

Reference 128

Resolution: verified exact; arxiv_id, observed 2026-06-30T02:16:12.784448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.