Paper Citation Record · LEDGER

Tropical geometry in torus bundles

As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2509.02569.

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

pith.paper-citation-record.v1
2509.02569 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:21:08.392471Z

measured 13 of 13 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy9
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f0e771c-c71a-4c9d-a8e3-6d885c3f90b0 · outbound

This paper cites Tropical algebraic geometry.

Tropical geometry in torus bundles Tropical algebraic geometry

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:21:08.500826Z

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.

Observation b02cbfb2-582d-4c0f-8b8a-1e6125ac09e6 · outbound

This paper cites Maclagan, B.

Tropical geometry in torus bundles Maclagan, B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.612285Z

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.

Observation 40a69f31-3f3f-4f46-a030-e10c7cdcc225 · outbound

This paper cites Ulirsch, Tropical Compactification in Log-regular Varieties.

Tropical geometry in torus bundles Ulirsch, Tropical Compactification in Log-regular Varieties

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.601666Z

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.

Observation 7d64049d-2184-4286-be5e-2865b6d4e33b · outbound

This paper cites Sankaran, V.

Tropical geometry in torus bundles Sankaran, V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.589593Z

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.

Observation c8bc7f8f-7e6a-48cc-b95e-77b051bc18e4 · outbound

This paper cites Tevelev, Compactifications of Subvarieties of Tori.

Tropical geometry in torus bundles Tevelev, Compactifications of Subvarieties of Tori

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.577768Z

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.

Observation 65a37639-2e9d-45c7-90ec-7ef9b077722e · outbound

This paper cites Fulton, Intersection Theory.

Tropical geometry in torus bundles Fulton, Intersection Theory

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.565256Z

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.

Observation 48c9da3d-6400-4b24-aa64-286cba83b5e4 · outbound

This paper cites Cools, J.

Tropical geometry in torus bundles Cools, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.553426Z

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.

Observation 77f9b22f-ce5a-48d9-ba81-b8328ae15754 · outbound

This paper cites The Kodaira dimensions of $\overline{\mathcal{M}}_{22}$ and $\overline{\mathcal{M}}_{23}$.

Tropical geometry in torus bundles The Kodaira dimensions of $\overline{\mathcal{M}}_{22}$ and $\overline{\mathcal{M}}_{23}$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T17:21:08.374616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d00e86d4-b4cc-4d09-bbe8-6af8e67c1f18 · outbound

This paper cites Brill-Noether theory for curves of a fixed gonality.

Tropical geometry in torus bundles Brill-Noether theory for curves of a fixed gonality

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T17:21:08.378563Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1581052-c9df-4287-aa92-610ee879c07e · outbound

This paper cites Gross, B.

Tropical geometry in torus bundles Gross, B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.541375Z

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.

Observation 9e187e3c-7166-491e-bcf5-3ba20c1db8e8 · outbound

This paper cites Mikhalkin, Enumerative Tropical Algebraic Geometry in R2.

Tropical geometry in torus bundles Mikhalkin, Enumerative Tropical Algebraic Geometry in R2

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.528958Z

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.

Observation cfe90807-ae07-4072-95d4-78b6a6d69b3d · outbound

This paper cites Gross, Intersection Theory on Tropicalizations of Toroidal Embeddings.

Tropical geometry in torus bundles Gross, Intersection Theory on Tropicalizations of Toroidal Embeddings

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:21:08.515308Z

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.

Observation 1d12bf4d-eb07-46e0-8d4b-759259eb7698 · outbound

This paper cites Carocci, L.

Tropical geometry in torus bundles Carocci, L

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T17:21:08.392471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.