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Paper Citation Record · LEDGER

Generic vanishing theory in positive characteristic

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:31.900827Z digest=sha256:2ba90d6e2ccc2667db53f338f00f10849062ece78b9290d7cfce89687a21d318

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:32.224529Z digest=sha256:54125419486a271ab714253974ffde9f14bcff7a87fc67375248f516e3bd343d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:32.177383Z digest=sha256:c61e3e475d6061e5644fd3c85ddd877d798585e6784dd288f7498c89eceb02a8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:32.287269Z digest=sha256:1e26923ba705429a24bffbcf710b2165fda36e55751e562353a82be3b78f2fef

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:32.131443Z digest=sha256:a1ccaa81c4f2520fa768f3f16b699a226f27531d150f56011d36ee3c252c5550

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:32.045343Z digest=sha256:6db98c6f326977116a32d810cc814a25f32927c21d577031b112a6a89f243849

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:32.326207Z digest=sha256:6c77ffb86a1d6126f6ce1ccc4204ccf43837c27128ea424f8203a61b6f1aeae5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:26:31.866752Z digest=sha256:cc51b32a2c2c5856e9f76743ad1dc030ed931b06ec9a265fe27909905757461a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:52:49.340628Z digest=sha256:b0b64d24e024dcc3c1ebec4fe7df91197a9d7e5779f4cc118667bd02290429c3