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Paper Citation Record · LEDGER

Generic vanishing theory in positive characteristic

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:31.900827Z digest=sha256:cb82ed10cd97d4539feffa5427a3ac41d2791c036d9894c7686c3ef328d4d5c3

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=sha256:59bc1082be0d1b055d39152bc2464eb13fc62132dcaa42a5ac0e60ccf617cc2f

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=sha256:30d8340d4181593d70dde6209d75c2e48b2e27ab8dc7637dcaa095c784afb396

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=sha256:19eb91ca1b342625c859c8d6704d703fc3e2596b8f3cf7fdf932f1e3f241527a

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:32.224529Z digest=sha256:38c9baea997a9fafd60b352a3aa618c9c28a94e3b099fc216060578a4c13a5e3

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:32.177383Z digest=sha256:d0bb7c87f1fe0a3fce67921a6b21825ac0aabc8004dbda30634f58a531ed8630

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:32.287269Z digest=sha256:587d1d475616bc84b3dfb7bb36da996ee53e21bb965d61b04a090e8ab7b3a6b0

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:32.131443Z digest=sha256:39e9fa89e839bf5ad0df6da7d5853fd568b2617fd4a1ff4dcc79b8f61ecd3cda

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:32.045343Z digest=sha256:f7f2b4c66f32597e8f5214c896a7026016cc3825660499f816b1acc730faa86e

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=sha256:9a3edc7e8667a16a4e700af4a45006f833443987816101db9aa90bca38cd91d8

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:32.326207Z digest=sha256:373e369d099bcf31dae03729f41d3ad91fb8fcd8cd4f9a38559fecf3e7af802c

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T21:26:31.866752Z digest=sha256:4c50a6c52c53961eb6f917a430cf6d18e7796e6d16f0ed7ef7fbd72e4a4c07a7

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-06T20:52:49.340628Z digest=sha256:75e7fb749ac8425c40144fce9310a67256e9282330ab59429b1951b0e1f3ccbf