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Paper Citation Record · LEDGER

Generic vanishing theory in positive characteristic

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2507.00771.

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

pith.paper-citation-record.v1
2507.00771 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:26:32.326207Z

measured 13 of 13 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:52:49.340628Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:52:50.570941Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact4
  • verified fuzzy1
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7594ad7f-b235-4fdd-8795-c8894965aa45 · outbound

This paper cites On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension.

Generic vanishing theory in positive characteristic On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:26:32.644761Z

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.

source=pdf_text observed=2026-08-06T21:26:31.900827Z digest=sha256:b81a749498452b732e4935afa3ccba040287e45d032bdb3b8965e8a4f593e4f5

Observation 55edb1d9-37fe-4ec6-89f8-365091ad19d7 · outbound

This paper cites The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails.

Generic vanishing theory in positive characteristic The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-06T21:26:31.925841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:26:31.925841Z digest=sha256:86798c77d81176a9a6d70f591453f545b832013844a5b057cea8fd477e2e53f0

Observation 378717bf-4f32-4334-84ce-b12c872e1d23 · outbound

This paper cites On Gorenstein $\mathbb{Q}_p$-rational threefold and fourfold singularities.

Generic vanishing theory in positive characteristic On Gorenstein $\mathbb{Q}_p$-rational threefold and fourfold singularities

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T21:26:31.992066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:26:31.992066Z digest=sha256:658bb850f42ea676b7c14c2b491f262a52b1dd64290b1693bd51a3726b9032d0

Observation 909ebb89-85b3-45ae-b591-78f3efda5bf9 · outbound

This paper cites The Demailly--Peternell--Schneider conjecture is true in positive characteristic.

Generic vanishing theory in positive characteristic The Demailly--Peternell--Schneider conjecture is true in positive characteristic

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T21:26:32.085624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:26:32.085624Z digest=sha256:be9848d9b6ffa46b9e255f36cb6b1e6a2354576042fc84e2628701e7b6c80231

Observation 498f27a8-e7f1-44d9-a567-57b5102a4b4b · outbound

This paper cites an unresolved cited work.

Generic vanishing theory in positive characteristic Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:26:33.227414Z

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.

source=pdf_text observed=2026-08-06T21:26:32.224529Z digest=sha256:9a4ab3b3d0883c7e740bc08a23c2d195226bce13e8f45b2ff86cab73de40cb41

Observation 11fb567a-8998-40c2-a8bc-2e60bdcaafc7 · outbound

This paper cites [HP02] C.

Generic vanishing theory in positive characteristic [HP02] C

Reference 1989

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T21:26:33.336637Z

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.

source=pdf_text observed=2026-08-06T21:26:32.177383Z digest=sha256:211c85af6aeb1ee8c53b06710b0d6f83822f33d3f0899cd320cf52fa11173712

Observation 3cdbdb99-540d-4b3a-b906-391302cc980b · outbound

This paper cites an unresolved cited work.

Generic vanishing theory in positive characteristic Unresolved cited work

Reference 2008

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:26:33.068754Z

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.

source=pdf_text observed=2026-08-06T21:26:32.287269Z digest=sha256:75ac289f785dd89350eeebf1f46bc13dbf73ba81f2cd30c29804b255510303bb

Observation 8ce2a4a0-d248-484d-9d0b-229b4127aca1 · outbound

This paper cites an unresolved cited work.

Generic vanishing theory in positive characteristic Unresolved cited work

Reference 2018

Resolution
unresolved
raw_fallback, observed 2026-08-06T21:26:33.478599Z

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.

source=pdf_text observed=2026-08-06T21:26:32.131443Z digest=sha256:c58ec97e62edae94bb8be93f02646d3a2f322b00fc9641fdf4cd4398ca22f4e1

Observation b2cb0717-b327-4161-b9b7-1ee0f5034337 · outbound

This paper cites Numerical Kodaira dimension of algebraic fiber spaces in positive characteristic.

Generic vanishing theory in positive characteristic Numerical Kodaira dimension of algebraic fiber spaces in positive characteristic

Reference 2022

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:26:32.519259Z

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.

source=pdf_text observed=2026-08-06T21:26:32.045343Z digest=sha256:e0a63cfbd666eb102cf608fcc68267b78dff52204ee3b4bf867306a360eba0cd

Observation 63bb1b71-f216-4320-a76e-9e5e9f41b681 · outbound

This paper cites Duality between Cartier crystals and perverse $\mathbb{F}_p$-sheaves, and application to generic vanishing.

Generic vanishing theory in positive characteristic Duality between Cartier crystals and perverse $\mathbb{F}_p$-sheaves, and application to generic vanishing

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-06T21:26:31.832347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:26:31.832347Z digest=sha256:cee66090b7dc9e9fc64c9fb0932b7fc998f005b73c138b5c6438c133cb020f55

Observation e173194c-94c0-4a34-be6e-00e2203c8407 · outbound

This paper cites Terminal 3-folds that are not Cohen-Macaulay.

Generic vanishing theory in positive characteristic Terminal 3-folds that are not Cohen-Macaulay

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-06T21:26:32.438853Z

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.

source=pdf_text observed=2026-08-06T21:26:32.326207Z digest=sha256:13e4afa220eb76ce26a5594da7cdb0483decd1e9dadefd42453e42f8569e0751

Observation af0493f0-fb6d-460c-8a70-8e6c4d938533 · outbound

This paper cites [Bau25b] J.

Generic vanishing theory in positive characteristic [Bau25b] J

Reference 2025

Resolution
verified exact
raw_fallback, observed 2026-08-06T21:26:32.887153Z

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.

source=pdf_text observed=2026-08-06T21:26:31.866752Z digest=sha256:84eddb5c903268d57d068202a9d23b761694838a0c59ace08f58b683777f0796

Pith citing papers

Observation 884e2fe1-cbd9-4336-a203-39ee567f78d0 · inbound

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension cites this paper.

On the Euler characteristic of weakly ordinary varieties of maximal Albanese dimension Generic vanishing theory in positive characteristic

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:52:50.670993Z

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.

source=pdf_text observed=2026-08-06T20:52:49.340628Z digest=sha256:15ee76566bd0de9b6fa5525301d83d20209bf24a8073ce477263828b6bc637cf