Paper Citation Record · LEDGER

Abstract divisorial spaces and arithmetic intersection numbers

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2409.00611.

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

pith.paper-citation-record.v1
2409.00611 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T21:03:44.271613Z

measured 13 of 13 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 2026-08-07T15:42:59.751342Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T15:43:01.068351Z

Reference resolution

12 of 12 outbound references displayed

verified exact8
verified fuzzy4
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 92f86984-0280-4272-8325-8969e0608562 · outbound

This paper cites Pluripotential theory for tropical toric varieties and non-archimedean Monge-Amp\'ere equations.

Abstract divisorial spaces and arithmetic intersection numbers Pluripotential theory for tropical toric varieties and non-archimedean Monge-Amp\'ere equations

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:48.999595Z

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.

Observation 58ac59a7-ac66-40c5-adbc-a46e39af7c99 · outbound

This paper cites On the height of the universal abelian variety.

Abstract divisorial spaces and arithmetic intersection numbers On the height of the universal abelian variety

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:48.985462Z

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.

Observation 256af5f9-6de2-49f0-b2b0-f97903f1198a · outbound

This paper cites Formes diff\'erentielles r\'eelles et courants sur les espaces de Berkovich.

Abstract divisorial spaces and arithmetic intersection numbers Formes diff\'erentielles r\'eelles et courants sur les espaces de Berkovich

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:49.019977Z

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.

Observation d3374eb8-156d-48d5-827b-83e12b90f351 · outbound

This paper cites Arithmetic intersection theory over adelic curves.

Abstract divisorial spaces and arithmetic intersection numbers Arithmetic intersection theory over adelic curves

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:49.006983Z

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.

Observation 131ab874-d9a6-4e65-b1f2-58e784cc0e7d · outbound

This paper cites [Fal83] G.

Abstract divisorial spaces and arithmetic intersection numbers [Fal83] G

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:49.001726Z

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.

Observation 636f39fe-ee5d-4dfc-aff6-7763ce365ec5 · outbound

This paper cites Non-Archimedean Analytic Geometry: Theory and Practice.

Abstract divisorial spaces and arithmetic intersection numbers Non-Archimedean Analytic Geometry: Theory and Practice

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T21:05:50.373800Z

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.

Observation 06dec244-a912-47b4-9809-8645c5126bab · outbound

This paper cites Gillet and C.

Abstract divisorial spaces and arithmetic intersection numbers Gillet and C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T21:05:50.370163Z

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.

Observation c2069740-8bd7-4f79-ad06-a56a5534508d · outbound

This paper cites An integration formula of Chern forms on quasi-projective varieties.

Abstract divisorial spaces and arithmetic intersection numbers An integration formula of Chern forms on quasi-projective varieties

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:48.981665Z

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.

Observation f93201dc-2820-4a00-a2e9-698c8d0399e9 · outbound

This paper cites Equidistribution in Families of Abelian Varieties and Uniformity.

Abstract divisorial spaces and arithmetic intersection numbers Equidistribution in Families of Abelian Varieties and Uniformity

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:49.004187Z

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.

Observation d07d85e1-be41-4d93-b404-e755f418d71e · outbound

This paper cites [Per24] G.

Abstract divisorial spaces and arithmetic intersection numbers [Per24] G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T21:05:50.367166Z

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.

Observation b67f0e80-8d01-4cc8-9592-265c2234bb46 · outbound

This paper cites [Ull98] E.

Abstract divisorial spaces and arithmetic intersection numbers [Ull98] E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T21:05:50.364620Z

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.

Observation 4118435e-2a26-4f4c-bfbf-4dd379695bfb · outbound

This paper cites Arithmetic bigness and a uniform Bogomolov-type result.

Abstract divisorial spaces and arithmetic intersection numbers Arithmetic bigness and a uniform Bogomolov-type result

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-23T21:05:49.015182Z

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.

Pith citing papers

Observation e6eae8e4-b42b-41d9-a571-7dead51ab204 · inbound

Concave transforms of compactified S-metrized divisors cites this paper.

Concave transforms of compactified S-metrized divisors Abstract divisorial spaces and arithmetic intersection numbers

Reference 2012

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:43:01.194280Z

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.