Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-16T14:21:39.057368Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2601.09485.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-16T14:21:39.057368Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T12:06:41.416780Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-07T12:06:43.426256Z
21 of 21 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 65110253-3ad7-4a5b-abe8-417b1c4c63cd · outbound
On lower bounds for hypergeometric tails Aydinian, V
Reference 1
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.
Observation 25c8538e-96fe-4548-a1ca-1d52450860db · outbound
On lower bounds for hypergeometric tails Berend, A
Reference 2
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.
Observation a133458d-6226-44a7-8b96-e614f6fcd49f · outbound
On lower bounds for hypergeometric tails Broman, T
Reference 3
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.
Observation 30983928-f79e-44be-b0ed-c1e6b5224187 · outbound
On lower bounds for hypergeometric tails Unresolved cited work
Reference 4
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.
Observation 0d78e540-7c38-42c3-9e0e-a7c7130d9b4a · outbound
On lower bounds for hypergeometric tails Diaconis, S
Reference 5
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.
Observation e4aa8a0d-a70e-4549-954b-0b30c7ae50fd · outbound
On lower bounds for hypergeometric tails Doerr,An elementary analysis of the probability that a binomial random variable exceeds its expectation, Statistics & Probability Letters139(2018) 67–74
Reference 6
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.
Observation 9e597569-12ea-48a2-a43e-b6bfd0859422 · outbound
On lower bounds for hypergeometric tails Ehm,Binomial approximation to the Poisson binomial distribution, Statistics & Probability Letters11(1) (1991) 7–16
Reference 7
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.
Observation c149a24d-71ca-441f-9222-d4f5cfad0d42 · outbound
On lower bounds for hypergeometric tails Greenberg and M
Reference 8
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.
Observation 938a1b30-1969-4355-be18-9dacf5d98cb5 · outbound
Reference 9
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.
Observation a8a1457f-ad41-49b2-9562-56eff64c1d42 · outbound
On lower bounds for hypergeometric tails Jogdeo, S
Reference 10
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.
Observation bf5d0538-3c03-4955-8a28-6821a904fa7d · outbound
On lower bounds for hypergeometric tails Klenke, L
Reference 11
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.
Observation 47558a61-ae92-4fba-80d8-a4d12b657403 · outbound
On lower bounds for hypergeometric tails Mattner, J
Reference 12
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.
Observation 3e223cdc-c7d8-4496-88e7-27b1ed43cf12 · outbound
On lower bounds for hypergeometric tails Pelekis, J
Reference 13
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.
Observation 7fcf2a48-ec17-4ea2-ac5b-98d2dd233eb2 · outbound
On lower bounds for hypergeometric tails Pinelis,Best lower bound on the probability of a binomial exceeding its expectation, Statistics & Probability Letters179(2021) 109224
Reference 14
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.
Observation c2764467-05c5-42b5-97cf-3b16bcb67f19 · outbound
On lower bounds for hypergeometric tails Pokrovskiy,A linear bound on the Manickam–Mikl´ os–Singhi conjecture, J
Reference 15
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.
Observation 5027d2ee-ce35-4163-9fc0-f82e0cb2d23c · outbound
On lower bounds for hypergeometric tails Unresolved cited work
Reference 16
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.
Observation 0358011f-3e3e-437d-ae8a-bebb548e246c · outbound
On lower bounds for hypergeometric tails Robbins,A Remark on Stirling’s Formula, The American Mathematical Monthly,62(1) (1955) 26–29
Reference 17
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.
Observation 328c5d0e-0a6c-4705-90b1-e1d3f668b667 · outbound
On lower bounds for hypergeometric tails Shaked, G.J
Reference 18
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.
Observation a1600fd7-da8d-4319-a8f4-5cb38d8a1b8c · outbound
On lower bounds for hypergeometric tails Siegel,Median bounds and their application, Journal of Algorithms38(1) (2001) 184–236
Reference 19
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.
Observation 7744add0-a502-4c5e-a328-d083e130cd84 · outbound
On lower bounds for hypergeometric tails Uhlmann,Vergleich der hypergeometrischen mit der binomial-verteilung, Metrika10(1966) 145–158
Reference 20
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.
Observation c17ef09c-843b-4936-a46a-e9b40b052f13 · outbound
On lower bounds for hypergeometric tails Vatutin, V .G Mikhailov, (1983).Limit theorems for the number of empty cells in an equiprobable scheme for group allocation of particles, Theory Probab
Reference 21
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.
Observation 64d88cbc-0eb4-4fb8-b59c-f78893d143d8 · inbound
The mean absolute deviation of the classical discrete distributions: collapse identities, complete asymptotic expansions, and enveloping series On lower bounds for hypergeometric tails
Reference 2
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.