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Paper Citation Record · LEDGER

On the probability that a binomial variable is at most its expectation

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2009.13781.

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

pith.paper-citation-record.v1
2009.13781 v2

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 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:56:25.986514Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 76ebb9fd-e1b2-452c-a712-96cff15b65d7 · inbound

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion cites this paper.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion On the probability that a binomial variable is at most its expectation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T11:38:54.038336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T11:38:54.038336Z digest=sha256:4c5fd7e8a2e553f8c42f35d909f91e333b3950763cb9ba3b9395b898f5ea8e4e

Observation 3a5456e0-0348-450c-82e8-050adcdb4a24 · inbound

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion cites this paper.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion On the probability that a binomial variable is at most its expectation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T01:56:25.986514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:56:25.986514Z digest=sha256:9b4880e504abe10576b9f3ce2629cd0c3010dd39b0423371e0c5c340cfcfe659