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Paper Citation Record · LEDGER

Reduction modulo p of two-dimensional crystalline representations of G_{Q_p} of slope less than three

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1503.08309.

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

pith.paper-citation-record.v1
1503.08309 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:37:53.852147Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:37:54.047706Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • 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 01b3bef4-7f56-4e8a-a5c5-a21f4b97a352 · inbound

Reductions of some two-dimensional crystalline representations via Kisin modules cites this paper.

Reductions of some two-dimensional crystalline representations via Kisin modules Reduction modulo p of two-dimensional crystalline representations of G_{Q_p} of slope less than three

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T11:37:54.052519Z

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.

source=pdf_text observed=2026-08-14T11:37:53.852147Z digest=sha256:f8e35a0d53a5bf5ae2d5c7d79fae1c0bbf5dc637f3ceef35032b6e218ea3af30