Paper Citation Record · LEDGER

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves

As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2506.13346.

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

pith.paper-citation-record.v1
2506.13346 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:13:45.174662Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:06:10.393600Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T20:52:50.748470Z

Reference resolution

9 of 9 outbound references displayed

verified exact2
verified fuzzy1
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ece0e2c3-6569-45bf-a483-b9f10f226497 · outbound

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

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves The Frobenius--stable version of the Grauert--Riemenschneider vanishing theorem fails

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T20:13:44.848062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 090d2562-a603-4d47-8f4e-b56e6764b061 · outbound

This paper cites Applications of perverse sheaves in commutative algebra.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves Applications of perverse sheaves in commutative algebra

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T20:13:44.891964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43251217-e1a3-46d8-95db-0e8a82e1d072 · outbound

This paper cites [Pat18] Zs.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves [Pat18] Zs

Reference 11

Resolution: verified exact; raw_fallback, observed 2026-08-15T20:13:45.496401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7f1e7f14-a72f-4577-b1f6-76b378887802 · outbound

This paper cites Artin, A.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves Artin, A

Reference 1972

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:13:45.799905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1ebc9045-f163-4926-99b6-6beb67461795 · outbound

This paper cites Cartier Crystals.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves Cartier Crystals

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-15T20:13:44.842237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b3a1650-2fb1-4906-9402-22c05437f3d5 · outbound

This paper cites Cartier crystals and perverse constructible \'etale $p$-torsion sheaves.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves Cartier crystals and perverse constructible \'etale $p$-torsion sheaves

Reference 2018

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:13:45.274300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 575b0593-9afa-46b7-94c8-3db0576fda2b · outbound

This paper cites Cartier Crystals have finite global dimension.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves Cartier Crystals have finite global dimension

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-15T20:13:44.932251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e661db2-9b5d-4a0f-bab6-353c0f99bae4 · outbound

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

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves Duality between Cartier crystals and perverse $\mathbb{F}_p$-sheaves, and application to generic vanishing

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-15T20:13:44.734419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a66be91-b662-4cfc-aff5-a2fa41c52995 · outbound

This paper cites [Kun76] E.

Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves [Kun76] E

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-15T20:13:44.942728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation bca23a5b-6985-4bc0-a159-72781f9044b9 · inbound

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves cites this paper.

A Grauert-Riemenschneider vanishing theorem for Witt canonical sheaves Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T20:06:10.393600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31ed4f9b-0b4a-4c08-b8ad-285235257bc4 · 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 Duality between $W_n$-Cartier crystals and $\mathbb{Z}/p^n\mathbb{Z}$-perverse sheaves

Reference 2025

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:52:50.821439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.