Paper Citation Record · LEDGER

The geometry of Frobenius on toric varieties

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.02994.

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

pith.paper-citation-record.v1
2506.02994 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:40:36.022728Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

12 of 12 outbound references displayed

verified exact1
verified fuzzy4
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 277c14b3-07cf-428c-bb1b-34f1bdc4836a · outbound

This paper cites The minimal projective bundle dimension and toric $2$-Fano manifolds.

The geometry of Frobenius on toric varieties The minimal projective bundle dimension and toric $2$-Fano manifolds

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T11:40:55.871044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ed69e4b8-5955-44b0-bf6d-e31d95103c50 · outbound

This paper cites A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas.

The geometry of Frobenius on toric varieties A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T11:40:32.879167Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 126b7ba6-e4ac-4976-b459-24f7a5debff3 · outbound

This paper cites A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas.

The geometry of Frobenius on toric varieties A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T11:40:34.930533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0d7ecec7-8e99-48a6-a7ce-55f636ef58f7 · outbound

This paper cites Mu˜noz, G.

The geometry of Frobenius on toric varieties Mu˜noz, G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:57.732617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 25d4b251-5cb6-41c9-a852-29a2f6e7d117 · outbound

This paper cites Casagrande: Contractible classes in toric varieties , Math.

The geometry of Frobenius on toric varieties Casagrande: Contractible classes in toric varieties , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.028915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0db852d3-4e78-410c-8e04-da77e15c8b8a · outbound

This paper cites an unresolved cited work.

The geometry of Frobenius on toric varieties Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:55.952170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c23b01c6-dfb1-4748-a391-1b0a46524593 · outbound

This paper cites Varieties with ample Frobenius-trace kernel.

The geometry of Frobenius on toric varieties Varieties with ample Frobenius-trace kernel

Reference 42

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T11:40:54.882342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2ce61605-ff8a-4dbe-ad64-80fea898f785 · outbound

This paper cites Hartshorne: Ample subvarieties of algebraic varieties , Lecture Notes in Mathematics, Vol.

The geometry of Frobenius on toric varieties Hartshorne: Ample subvarieties of algebraic varieties , Lecture Notes in Mathematics, Vol

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:57.809540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 116b2aec-dee5-4c8c-a26f-9d1abc12b9df · outbound

This paper cites Cartier: Une nouvelle op´ eration sur les formes diff´ erentielles, Comptes rendus de l’Acad´ emie des sciences, Paris 244 (1957), 426–428.

The geometry of Frobenius on toric varieties Cartier: Une nouvelle op´ eration sur les formes diff´ erentielles, Comptes rendus de l’Acad´ emie des sciences, Paris 244 (1957), 426–428

Reference 2005

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:40:58.082146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2b730e7e-9202-40b3-bc62-a9a20b9f877a · outbound

This paper cites an unresolved cited work.

The geometry of Frobenius on toric varieties Unresolved cited work

Reference 2011

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:57.904337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b17d6600-9712-4175-b015-4851f3dca728 · outbound

This paper cites Toric Birational Geometry and Applications to Lattice Polytopes.

The geometry of Frobenius on toric varieties Toric Birational Geometry and Applications to Lattice Polytopes

Reference 2017

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:40:45.357637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 032d7b09-1e65-4315-8200-75630e90e569 · outbound

This paper cites an unresolved cited work.

The geometry of Frobenius on toric varieties Unresolved cited work

Reference 2021

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:40:57.062922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.