Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2607.19844.

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

pith.paper-citation-record.v1
2607.19844 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:56:26.338155Z

measured 17 of 17 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:06:41.844392Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:06:42.922670Z

Reference resolution

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 140a153e-041a-4da8-b967-92261210d622 · outbound

This paper cites Arratia, L.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Arratia, L

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:24.986645Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9a36dd6-b96b-4cb7-a166-3871d45e73da · outbound

This paper cites an unresolved cited work.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.115339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8bdb3738-e284-4f4b-8d04-6a1b6826d7db · outbound

This paper cites Burić, N.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Burić, N

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.211813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a9d6c55-3977-4d01-b0a3-5d4814606c94 · outbound

This paper cites Diaconis, S.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Diaconis, S

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.293479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51ffc7b1-5dba-4810-a639-1cc1d5822730 · outbound

This paper cites an unresolved cited work.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.402141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7210b91-8ec0-44b9-b891-4be57faada8e · outbound

This paper cites Elezović,Asymptotic expansions of central binomial coefficients and Catalan numbers, J.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Elezović,Asymptotic expansions of central binomial coefficients and Catalan numbers, J

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.523492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2892360-3c23-4844-b99a-83506a51aacc · outbound

This paper cites Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Local binomial expansions with an Appell shift, and the mean absolute deviation of the binomial distribution

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.608963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b76af395-6542-45fe-a498-c4004d4d31a8 · outbound

This paper cites Esseen,Fourier analysis of distribution functions.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Esseen,Fourier analysis of distribution functions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.695222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61aaa80e-a48d-40a3-a718-069099e641a8 · outbound

This paper cites Feller,An Introduction to Probability Theory and Its Applications, Vol.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Feller,An Introduction to Probability Theory and Its Applications, Vol

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.762497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 89e087b5-b0ac-4eeb-b224-3f2683ad1e3c · outbound

This paper cites an unresolved cited work.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.818950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ce97296-c51d-41e6-9d15-e538681fb7d2 · outbound

This paper cites Hall,On the limiting behaviour of the mode and median of a sum of independent random variables, Ann.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Hall,On the limiting behaviour of the mode and median of a sum of independent random variables, Ann

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:25.903986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites On the probability that a binomial variable is at most its expectation.

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.

Observation a8b85887-eac6-4271-b369-8e4088306f69 · outbound

This paper cites an unresolved cited work.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:26.076841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c05ba2f8-965d-4730-b54f-5a5911dc870d · outbound

This paper cites Faulhaber polynomials and reciprocal Bernoulli polynomials.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Faulhaber polynomials and reciprocal Bernoulli polynomials

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:26.161661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a952ccc-f7e6-41ae-9812-aa8201c1dd2c · outbound

This paper cites an unresolved cited work.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:26.259199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 154632b0-58bc-4946-a0e7-f11f85bf4c20 · outbound

This paper cites an unresolved cited work.

Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T01:56:26.338155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 57c068f7-07c2-47ff-98ef-00f741bafde1 · inbound

The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series cites this paper.

The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series Binomial probabilities at a fixed distance from the mode: size-biasing and the complete asymptotic expansion

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:06:42.965030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.