Paper Citation Record · LEDGER

On Steenbrink vanishing for rational singularities in positive characteristic

As of 14 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 3 inbound Pith citation observations for arXiv:2507.04838.

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

pith.paper-citation-record.v1
2507.04838 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:54:05.956638Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T02:55:28.288514Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T12:05:43.147168Z

Reference resolution

19 of 19 outbound references displayed

verified exact1
verified fuzzy6
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 36d05efe-5710-4219-8158-64dc3b8d1c8b · outbound

This paper cites On the K awamata- V iehweg vanishing theorem for log del P ezzo surfaces in positive characteristic.

On Steenbrink vanishing for rational singularities in positive characteristic On the K awamata- V iehweg vanishing theorem for log del P ezzo surfaces in positive characteristic

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:03.987609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afb6efa5-2a87-4b09-b210-7a7bef96e54f · outbound

This paper cites Vanishing theorems for three-folds in characteristic p>5.

On Steenbrink vanishing for rational singularities in positive characteristic Vanishing theorems for three-folds in characteristic p>5

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:07.922839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 31339b3a-630d-4483-9423-4d01f351da17 · outbound

This paper cites On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type.

On Steenbrink vanishing for rational singularities in positive characteristic On Grauert-Riemenschneider vanishing for Cohen-Macaulay schemes of klt type

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:54:06.197222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0045013d-c165-40f3-98db-2b0b13cc361e · outbound

This paper cites Higher direct images of the structure sheaf in positive characteristic.

On Steenbrink vanishing for rational singularities in positive characteristic Higher direct images of the structure sheaf in positive characteristic

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:07.660844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b9c094c4-59a3-4efb-8017-5a31ce99ba92 · outbound

This paper cites Vanishing of the higher direct images of the structure sheaf.

On Steenbrink vanishing for rational singularities in positive characteristic Vanishing of the higher direct images of the structure sheaf

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:07.431475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2a8f0c32-a487-4800-81fd-2b22a84381be · outbound

This paper cites Kov\' a cs.

On Steenbrink vanishing for rational singularities in positive characteristic Kov\' a cs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:04.615854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 759ebbdb-28a9-4da6-a960-df07ce48967d · outbound

This paper cites Kov\' a cs, and Thomas Peternell.

On Steenbrink vanishing for rational singularities in positive characteristic Kov\' a cs, and Thomas Peternell

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:04.715887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af69ae48-b2a2-447e-9663-b7d18d81ad32 · outbound

This paper cites A characterization of rational singularities in terms of injectivity of F robenius maps.

On Steenbrink vanishing for rational singularities in positive characteristic A characterization of rational singularities in terms of injectivity of F robenius maps

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:04.809408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce24ccdc-4270-4092-8442-8c5fe7e9df13 · outbound

This paper cites Extendability of differential forms via Cartier operators.

On Steenbrink vanishing for rational singularities in positive characteristic Extendability of differential forms via Cartier operators

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:04.913593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38f5f2c1-8b86-47e4-8bef-10c7727a0807 · outbound

This paper cites Steenbrink-type vanishing for surfaces in positive characteristic.

On Steenbrink vanishing for rational singularities in positive characteristic Steenbrink-type vanishing for surfaces in positive characteristic

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:07.144558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9c664717-a2a9-4bad-968e-f6e13aacb4b4 · outbound

This paper cites Kov\'acs.

On Steenbrink vanishing for rational singularities in positive characteristic Kov\'acs

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:06.906008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8ba14b1e-6108-43bc-aea6-6ca238090abd · outbound

This paper cites Extending one-forms on $F$-regular singularities.

On Steenbrink vanishing for rational singularities in positive characteristic Extending one-forms on $F$-regular singularities

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:05.196558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e920d2e-b7ef-410e-a933-773dcd5e923f · outbound

This paper cites Quasi-F-splittings in birational geometry.

On Steenbrink vanishing for rational singularities in positive characteristic Quasi-F-splittings in birational geometry

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:05.335262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6732c859-988d-443b-9464-26eb34accade · outbound

This paper cites Quasi- F -splittings in birational geometry II.

On Steenbrink vanishing for rational singularities in positive characteristic Quasi- F -splittings in birational geometry II

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:05.445942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99dd1425-3997-49e9-9df0-8b9088b1f15a · outbound

This paper cites Higher F-injective singularities.

On Steenbrink vanishing for rational singularities in positive characteristic Higher F-injective singularities

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:05.563602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3855eb9f-e0da-4b00-af0a-407cf926b64e · outbound

This paper cites Resolution and alteration with ample exceptional divisor.

On Steenbrink vanishing for rational singularities in positive characteristic Resolution and alteration with ample exceptional divisor

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:54:06.663119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d69b170f-b9b3-4184-b66f-f9d4e211f746 · outbound

This paper cites Counterexamples to K odaira's vanishing and Y au's inequality in positive characteristics.

On Steenbrink vanishing for rational singularities in positive characteristic Counterexamples to K odaira's vanishing and Y au's inequality in positive characteristics

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:05.758148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ca3d73f-d330-4005-a2cc-d5c3e796c48b · outbound

This paper cites The S tacks P roject.

On Steenbrink vanishing for rational singularities in positive characteristic The S tacks P roject

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T19:54:05.840322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8990b82-d286-45d4-8848-766a44e7aa57 · outbound

This paper cites an unresolved cited work.

On Steenbrink vanishing for rational singularities in positive characteristic Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:54:06.449193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 12bd9bb6-b085-4a57-8efa-fdb48aece382 · inbound

Higher F-rational singularities cites this paper.

Higher F-rational singularities On Steenbrink vanishing for rational singularities in positive characteristic

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-11T10:36:05.493208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 364352df-520f-41eb-ade1-e63be52fab02 · inbound

Local vanishing for F-pure threefolds cites this paper.

Local vanishing for F-pure threefolds On Steenbrink vanishing for rational singularities in positive characteristic

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-10T10:04:06.997291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 582b3222-507c-4389-b3c7-9ee14e6b5c50 · inbound

Quasi-$F$-singularities and singularities in birational geometry cites this paper.

Quasi-$F$-singularities and singularities in birational geometry On Steenbrink vanishing for rational singularities in positive characteristic

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:05:43.149770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.