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Paper Citation Record · LEDGER

Cartier Crystals

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1309.1035.

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

pith.paper-citation-record.v1
1309.1035 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:13:44.842237Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T18:04:46.332975Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d4b956b2-7d4e-4fa4-a1aa-18bcef2f05a9 · inbound

On the injective dimension of unit Cartier and Frobenius modules cites this paper.

On the injective dimension of unit Cartier and Frobenius modules Cartier Crystals

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-11T18:04:46.337386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-11T18:04:46.192099Z digest=sha256:b38462e7e730db30d4039e3e3b25f2d6def41036de8947b3da44e50782f7bedf

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

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

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.

source=pdf_text observed=2026-08-15T20:13:44.842237Z digest=sha256:131ff60c23de3dc9359fbc63937649503a87d7adc73900c64faa5b2bebcaa739

Observation 5f5fddec-f997-4b15-ae1f-462599e5ca35 · inbound

The derived $\infty$-category of Frobenius modules cites this paper.

The derived $\infty$-category of Frobenius modules Cartier Crystals

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T08:07:31.065998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T08:07:31.065998Z digest=sha256:322b81cfa78dad691922f4f843a0c5dfcb9938dfaab8e5ae46b05211260f6c5d