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Paper Citation Record · LEDGER

Umbral Moonshine

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1204.2779.

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

pith.paper-citation-record.v1
1204.2779 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:53:59.671880Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T01:04:49.922886Z

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 681623fb-ed51-4cfe-a015-4f7e9a93ce19 · inbound

R\'enyi entropy of single-character CFTs on the torus cites this paper.

R\'enyi entropy of single-character CFTs on the torus Umbral Moonshine

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-12T05:53:59.671880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:53:59.671880Z digest=sha256:cf7441684f0f54db5bbd03fe3db30afb1de487c223be7037491fc68f7e5cc851

Observation 9ab90ca6-34f2-459e-8886-0ce40133aa71 · inbound

On Uniqueness of Mock Theta Functions cites this paper.

On Uniqueness of Mock Theta Functions Umbral Moonshine

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:44:50.777756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-10T01:03:44.742792Z digest=sha256:0c6744f759fe1db709cbc860ca12fe810f8c5bbecaa45ba5ffb7448418931b91