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Paper Citation Record · LEDGER

The geometry of Frobenius on toric varieties

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:12.351108Z digest=sha256:34d9481928bb1181286f4fe05cd8781f5cc2e0e5c8ba98a9e41241619f982d2d

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.

source=pdf_text observed=2026-08-07T11:40:32.879167Z digest=sha256:4ef7bcc069e81bbd4fd816a448adb8cfbd20e82e20f7ed504dd107a323db4de0

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.

source=pdf_text observed=2026-08-07T11:40:34.930533Z digest=sha256:287476078bb45bdf7cc730987ee1133bfd6b85aa73b609a8b5ef3674f247a4fc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:35.884343Z digest=sha256:c67d36a3c9c2f3b207b4a3369aab996ac75482993a8207cba1cc6076f17591ac

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:23.658135Z digest=sha256:dfca8bf463c10948a13314f6aa8f5d520995f28889e6ea00d06b691d1031d973

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:36.022728Z digest=sha256:5d2ed7bc0c662666069ac35db9defb41d32ec1043b0b930d989bc6298b247144

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:23.397510Z digest=sha256:1a8a7a2b2ee58b10faab21311b01002b07cb36bafb101655a596a274ca04c401

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:31.435981Z digest=sha256:a8ef74830c3314b5c0854225454a502394ef12f377cedb9889fb262630f203a5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:23.082624Z digest=sha256:378a3455645492bcbd055d7de71c2c824ac77147e8d247f49d47250b598c35f8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:24.130978Z digest=sha256:e52a86e784b258f26d47fca3183df58f39b1df978130610670f7c2e2bf1c4d64

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:35.736833Z digest=sha256:04f373d9f175dd7afa0746d2bd963cbb67550c373684d6f48ec482763db1f088

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T11:40:35.946607Z digest=sha256:a5477acaf6912925eda3dbe6f1ccd5b13692d0fabc724c1bd0e0934a10b15ac9

Pith citing papers

No inbound Pith citation observations are available.