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Paper Citation Record · LEDGER

On lower bounds for hypergeometric tails

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.

pith.paper-citation-record.v1
2601.09485 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T14:21:39.057368Z

measured 22 of 22 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 2026-08-07T12:06:41.416780Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:06:43.426256Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 65110253-3ad7-4a5b-abe8-417b1c4c63cd · outbound

This paper cites Aydinian, V.

On lower bounds for hypergeometric tails Aydinian, V

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.430602Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:12a29f264fb5293035a5b62ffc07e81a752ffc9c62832ada243d996060eb272d

Observation 25c8538e-96fe-4548-a1ca-1d52450860db · outbound

This paper cites Berend, A.

On lower bounds for hypergeometric tails Berend, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.428757Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:f595418030df923ee1d2422ad5998cfb20c26756dce360a7e60fbd631fb7a652

Observation a133458d-6226-44a7-8b96-e614f6fcd49f · outbound

This paper cites Broman, T.

On lower bounds for hypergeometric tails Broman, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.426906Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:aac461969c6eb9f7a76bf05362087e94de93effb28f2d1e0c339236ce0e29689

Observation 30983928-f79e-44be-b0ed-c1e6b5224187 · outbound

This paper cites an unresolved cited work.

On lower bounds for hypergeometric tails Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-16T14:22:59.425102Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:e9dff06aefcaff3e436e381e53c829a40aae17a6ac2523db1dfbf8d50db98f57

Observation 0d78e540-7c38-42c3-9e0e-a7c7130d9b4a · outbound

This paper cites Diaconis, S.

On lower bounds for hypergeometric tails Diaconis, S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.460576Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:31c173f3fd6872de49559f7ac07b522cdcf4a051f13a9efe83d21201e7bad0b3

Observation e4aa8a0d-a70e-4549-954b-0b30c7ae50fd · outbound

This paper cites Doerr,An elementary analysis of the probability that a binomial random variable exceeds its expectation, Statistics & Probability Letters139(2018) 67–74.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.458677Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:01343d41e7a78edcb172d5f670eb5e9ec3426d002bc3bb3ed374c95c5969bce3

Observation 9e597569-12ea-48a2-a43e-b6bfd0859422 · outbound

This paper cites Ehm,Binomial approximation to the Poisson binomial distribution, Statistics & Probability Letters11(1) (1991) 7–16.

On lower bounds for hypergeometric tails Ehm,Binomial approximation to the Poisson binomial distribution, Statistics & Probability Letters11(1) (1991) 7–16

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.454587Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:d93e6e62458e8d2df5dca44fc1f3c43151232c4a07559a065faee674f808e79f

Observation c149a24d-71ca-441f-9222-d4f5cfad0d42 · outbound

This paper cites Greenberg and M.

On lower bounds for hypergeometric tails Greenberg and M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.442113Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:e648aa6e72452a49e2b896634087250458fe3648b3ff404f4973e8e8587bba0e

Observation 938a1b30-1969-4355-be18-9dacf5d98cb5 · outbound

This paper cites Hui, C.J.

On lower bounds for hypergeometric tails Hui, C.J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.462338Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:da2176e1c9f6317d843dac0d16ccddea74eaa915e1667310ad12aef9108325fc

Observation a8a1457f-ad41-49b2-9562-56eff64c1d42 · outbound

This paper cites Jogdeo, S.

On lower bounds for hypergeometric tails Jogdeo, S

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.438200Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:719ea8c347a081a2bd4749347f7d61d845c847d9d187f33fe9d9ce088026e1c9

Observation bf5d0538-3c03-4955-8a28-6821a904fa7d · outbound

This paper cites Klenke, L.

On lower bounds for hypergeometric tails Klenke, L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.432488Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:968b02ae1f09eb14ea785ada02ade491ed4026988b5693cb3c5cff06bec28804

Observation 47558a61-ae92-4fba-80d8-a4d12b657403 · outbound

This paper cites Mattner, J.

On lower bounds for hypergeometric tails Mattner, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.436353Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:d45dc4b39e6bc52feb2b7280b8ccfc4c84cb8a455d783e7f4a86020f122e2af5

Observation 3e223cdc-c7d8-4496-88e7-27b1ed43cf12 · outbound

This paper cites Pelekis, J.

On lower bounds for hypergeometric tails Pelekis, J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.450039Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:713e3bba1edecec9e3c9e9f579087e8d7e64366eefaf0b371355dde1a0177c5e

Observation 7fcf2a48-ec17-4ea2-ac5b-98d2dd233eb2 · outbound

This paper cites Pinelis,Best lower bound on the probability of a binomial exceeding its expectation, Statistics & Probability Letters179(2021) 109224.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.434457Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:de6038851d21eebc75a52736c6794c409e3b773b412677acb217d5e4100fa8e2

Observation c2764467-05c5-42b5-97cf-3b16bcb67f19 · outbound

This paper cites Pokrovskiy,A linear bound on the Manickam–Mikl´ os–Singhi conjecture, J.

On lower bounds for hypergeometric tails Pokrovskiy,A linear bound on the Manickam–Mikl´ os–Singhi conjecture, J

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.440246Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:79ca773947aaca6729447d9a5783ac040b8399490437a382b36150549e5da98c

Observation 5027d2ee-ce35-4163-9fc0-f82e0cb2d23c · outbound

This paper cites an unresolved cited work.

On lower bounds for hypergeometric tails Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-16T14:22:59.446129Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:5bee222f7c26207bce906956b6ffc9bca40a8df6a7e9412a8c8242d0feab0708

Observation 0358011f-3e3e-437d-ae8a-bebb548e246c · outbound

This paper cites Robbins,A Remark on Stirling’s Formula, The American Mathematical Monthly,62(1) (1955) 26–29.

On lower bounds for hypergeometric tails Robbins,A Remark on Stirling’s Formula, The American Mathematical Monthly,62(1) (1955) 26–29

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.444389Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:49f5617b21178b9e14401e7cc0e2b79a36bbf84de4bcab650fcd6150ae475d11

Observation 328c5d0e-0a6c-4705-90b1-e1d3f668b667 · outbound

This paper cites Shaked, G.J.

On lower bounds for hypergeometric tails Shaked, G.J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.448119Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:6661d8ad86678a5b5b966a476bf8fe53e267053f485abc7c6c9a91e0f673bf77

Observation a1600fd7-da8d-4319-a8f4-5cb38d8a1b8c · outbound

This paper cites Siegel,Median bounds and their application, Journal of Algorithms38(1) (2001) 184–236.

On lower bounds for hypergeometric tails Siegel,Median bounds and their application, Journal of Algorithms38(1) (2001) 184–236

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.452522Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:1dc72d39564c2211be4d5e66c51c9cec05b5eed1a4d298178e774a963594d98b

Observation 7744add0-a502-4c5e-a328-d083e130cd84 · outbound

This paper cites Uhlmann,Vergleich der hypergeometrischen mit der binomial-verteilung, Metrika10(1966) 145–158.

On lower bounds for hypergeometric tails Uhlmann,Vergleich der hypergeometrischen mit der binomial-verteilung, Metrika10(1966) 145–158

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.456642Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:89f045da62f6b97ce29c89448f180e2d9757253f23ac4b1226c99d9ec2219590

Observation c17ef09c-843b-4936-a46a-e9b40b052f13 · outbound

This paper cites Vatutin, V .G Mikhailov, (1983).Limit theorems for the number of empty cells in an equiprobable scheme for group allocation of particles, Theory Probab.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T14:22:59.464527Z

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.

source=pdf_text observed=2026-05-16T14:21:39.057368Z digest=sha256:f9de27187bc645d9d3f980c6686fd5a3e81d10def0c2b9efc4989e1ec8b71438

Pith citing papers

Observation 64d88cbc-0eb4-4fb8-b59c-f78893d143d8 · 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 On lower bounds for hypergeometric tails

Reference 2

Resolution
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local_arxiv, observed 2026-08-07T12:06:43.488195Z

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.

source=pdf_text observed=2026-08-07T12:06:41.416780Z digest=sha256:6b343152b5a9f898500aa0c92a4626f24819850cce1065327dc6885bd0114cb7