Paper Citation Record · LEDGER

Classifying weak Fano toric varieties of Picard rank $3$

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.00715.

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

pith.paper-citation-record.v1
2506.00715 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:11:57.570714Z

measured 25 of 25 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

25 of 25 outbound references displayed

verified exact0
verified fuzzy18
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a37a976-4dbd-4966-abfe-4c4c4fe0fb77 · outbound

This paper cites an unresolved cited work.

Classifying weak Fano toric varieties of Picard rank $3$ Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T12:11:55.393709Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfe8474a-a65d-43c3-8e16-bd0b7040eb0b · outbound

This paper cites an unresolved cited work.

Classifying weak Fano toric varieties of Picard rank $3$ Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T12:11:55.466772Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47399a8b-dc49-4324-b143-923f024d9251 · outbound

This paper cites Fanography.

Classifying weak Fano toric varieties of Picard rank $3$ Fanography

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:12:00.459920Z

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.

Observation 891e7541-2d6f-46b5-b84c-faf46d135a00 · outbound

This paper cites Lifting of morphisms to quotient presentations.

Classifying weak Fano toric varieties of Picard rank $3$ Lifting of morphisms to quotient presentations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:12:00.263384Z

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.

Observation bfe7aaf7-dbb8-4477-b63e-2bdfcf772033 · outbound

This paper cites Toric varieties , volume 124.

Classifying weak Fano toric varieties of Picard rank $3$ Toric varieties , volume 124

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:12:00.075597Z

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.

Observation 5696f8ec-afee-40ab-83be-b004f8a04f41 · outbound

This paper cites Towards the classification of weak F ano threefolds with = 2.

Classifying weak Fano toric varieties of Picard rank $3$ Towards the classification of weak F ano threefolds with = 2

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:59.890875Z

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.

Observation d04ae728-d61b-4a03-a864-bea8fff2a963 · outbound

This paper cites An update on the classification of rank 2 weak F ano threefolds.

Classifying weak Fano toric varieties of Picard rank $3$ An update on the classification of rank 2 weak F ano threefolds

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:59.760602Z

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.

Observation e592a82c-3183-4bb3-bfca-ce1787d9e7c1 · outbound

This paper cites Grayson and Michael E.

Classifying weak Fano toric varieties of Picard rank $3$ Grayson and Michael E

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:11:56.072885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0aa46f3-7741-4792-855e-9e6d37fce841 · outbound

This paper cites Weak-Fanos.

Classifying weak Fano toric varieties of Picard rank $3$ Weak-Fanos

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:59.603769Z

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.

Observation 1a6e7200-a3ac-4ff8-9d2b-a0e98bcfb33e · outbound

This paper cites an unresolved cited work.

Classifying weak Fano toric varieties of Picard rank $3$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:11:59.441371Z

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.

Observation f4222e27-b944-422b-82f4-8bd00c382d58 · outbound

This paper cites an unresolved cited work.

Classifying weak Fano toric varieties of Picard rank $3$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:11:59.305725Z

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.

Observation 29927157-4ef8-40f4-ba27-5d3cd525d845 · outbound

This paper cites A classification of toric varieties with few generators.

Classifying weak Fano toric varieties of Picard rank $3$ A classification of toric varieties with few generators

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T12:11:56.452475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f116e8b5-2560-4b7a-bac0-22a52e68a695 · outbound

This paper cites Smooth toric varieties with small P icard number are projective.

Classifying weak Fano toric varieties of Picard rank $3$ Smooth toric varieties with small P icard number are projective

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:59.177340Z

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.

Observation 2429afa6-42fc-47fd-9fee-11a976855b07 · outbound

This paper cites Mavlyutov.

Classifying weak Fano toric varieties of Picard rank $3$ Mavlyutov

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:59.041392Z

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.

Observation 37623524-0a15-4cf0-8003-5ac3a4615e9a · outbound

This paper cites Classification of F ano 3 -folds with B_2 2.

Classifying weak Fano toric varieties of Picard rank $3$ Classification of F ano 3 -folds with B_2 2

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.868985Z

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.

Observation 70cfaf41-5803-4126-9138-24daba2324e0 · outbound

This paper cites Vanishing theorems on toric varieties.

Classifying weak Fano toric varieties of Picard rank $3$ Vanishing theorems on toric varieties

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.721738Z

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.

Observation 4dd65f28-eb47-415d-966f-5a9cdd820fbb · outbound

This paper cites An algorithm for the classification of smooth F ano polytopes.

Classifying weak Fano toric varieties of Picard rank $3$ An algorithm for the classification of smooth F ano polytopes

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.611371Z

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.

Observation 8fd90fd3-880c-4425-b0a9-c0885c5bfc92 · outbound

This paper cites Classification of smooth F ano polytopes.

Classifying weak Fano toric varieties of Picard rank $3$ Classification of smooth F ano polytopes

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.473805Z

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.

Observation fb0b77fc-956f-41ee-866d-e86a6cae0591 · outbound

This paper cites Decomposition of toric morphisms.

Classifying weak Fano toric varieties of Picard rank $3$ Decomposition of toric morphisms

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.312432Z

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.

Observation a18d4d59-0aa6-40cf-9369-88816198f14f · outbound

This paper cites Toward the classification of higher-dimensional toric F ano varieties.

Classifying weak Fano toric varieties of Picard rank $3$ Toward the classification of higher-dimensional toric F ano varieties

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.161656Z

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.

Observation fc456c6e-7b6e-4166-8623-c004da4a7ee1 · outbound

This paper cites The classification of smooth toric weakened F ano 3-folds.

Classifying weak Fano toric varieties of Picard rank $3$ The classification of smooth toric weakened F ano 3-folds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:58.053539Z

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.

Observation 40357f85-d83a-44ed-935b-58e09ecbd446 · outbound

This paper cites Studies on toric F ano varieties , volume 23 of Tohoku Mathematical Publications.

Classifying weak Fano toric varieties of Picard rank $3$ Studies on toric F ano varieties , volume 23 of Tohoku Mathematical Publications

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:57.947465Z

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.

Observation 24225738-3547-456a-b249-6fdf80fd8e90 · outbound

This paper cites A sufficient condition for a toric weak F ano 4-fold to be deformed to a F ano manifold.

Classifying weak Fano toric varieties of Picard rank $3$ A sufficient condition for a toric weak F ano 4-fold to be deformed to a F ano manifold

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:57.830835Z

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.

Observation c30f05b0-21b1-46e1-b3fd-d64b1e708d06 · outbound

This paper cites an unresolved cited work.

Classifying weak Fano toric varieties of Picard rank $3$ Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T12:11:57.495015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a7c513d-eda3-46dc-96d4-457e5ff55f6d · outbound

This paper cites F ano bundles over P^3 and Q_3.

Classifying weak Fano toric varieties of Picard rank $3$ F ano bundles over P^3 and Q_3

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:11:57.703348Z

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.

Pith citing papers

No inbound Pith citation observations are available.