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Paper Citation Record · LEDGER

Broadly discrete stable distributions

As of 8 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2509.05497.

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

pith.paper-citation-record.v1
2509.05497 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:35:52.307292Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T18:56:45.267759Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5bff0cc2-8003-46aa-a5e6-2a885b0a9f55 · outbound

This paper cites Sur les fonctions absolument monotones.Acta Mathemat- ica, 52(none):1–66, January 1929.

Broadly discrete stable distributions Sur les fonctions absolument monotones.Acta Mathemat- ica, 52(none):1–66, January 1929

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:55.887449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.368015Z digest=sha256:a0657f6f843320d4c17d87eb40f37bd98408579bb704f74797d6dfdb8d4db908

Observation a1de4f00-438c-4df4-b6f8-6bfae18ad9c7 · outbound

This paper cites A triptych of discrete distributions related to the stable law.

Broadly discrete stable distributions A triptych of discrete distributions related to the stable law

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:55.699805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.423797Z digest=sha256:845a22a548c21bcdbc51671f1135db320a2cb34a1ce133453b65e98c750a1305

Observation 4da38426-37c7-440e-a433-d8e26715bd5b · outbound

This paper cites John Wiley & sons., 1968.

Broadly discrete stable distributions John Wiley & sons., 1968

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:55.490866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.453959Z digest=sha256:a298232b9ef54cd349548aca3e422d71cada50ab2812a290e7bd17e31d2dee02

Observation 828f9d86-3523-44a8-961b-c3ccd54207c8 · outbound

This paper cites John Wiley & Sons, 1971.

Broadly discrete stable distributions John Wiley & Sons, 1971

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:55.309805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.512518Z digest=sha256:b199b3c7da29f14ac1da9735e818c7169290d4cc686e74c49da3a03fd4faccf4

Observation 6a38c92c-9067-4f79-bbbc-813fa23db897 · outbound

This paper cites Grandell.Mixed Poisson Processes.

Broadly discrete stable distributions Grandell.Mixed Poisson Processes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:55.109977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.567446Z digest=sha256:52f29287c5a4123ec9f5913f1a84d498ddf73a28d6ea2bd9870d48f3ad36b374

Observation 96fde212-2d37-4701-bc0d-aaf65c0cb61e · outbound

This paper cites Gupta and Ed Waymire.

Broadly discrete stable distributions Gupta and Ed Waymire

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:54.982205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.624696Z digest=sha256:d45fbf87ef662162b3a7bf87c80ada314a5dc83eb412822247d640ddb5b0ddd0

Observation 6563e90a-937a-4644-954e-5eb87e2f876f · outbound

This paper cites Some Interrelations among Compound and Generalized Distributions.Biometrika, 44(1/2):265–268, 1957.

Broadly discrete stable distributions Some Interrelations among Compound and Generalized Distributions.Biometrika, 44(1/2):265–268, 1957

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:54.758420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.681886Z digest=sha256:40ba01405e33ee80cb508a8a3fb34691024b09a2e682008ed08745915be8c9d2

Observation da61c998-43eb-4ed2-a8d3-e38270c41a89 · outbound

This paper cites an unresolved cited work.

Broadly discrete stable distributions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:35:54.578002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.741465Z digest=sha256:1fcff630e19048aaa2eb7208ef622ab3337eb82ffadc64598746ed37ff14a0a2

Observation 2a88e223-a66b-4483-bdf0-3e08e0869d0b · outbound

This paper cites Kokonendji.

Broadly discrete stable distributions Kokonendji

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:54.464456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.772674Z digest=sha256:5556e23ac964ae85d1a79c25bdba3029f9eb3ddc8014ab65e15ea8530e6fb1e7

Observation e4e1b6d9-f7e3-44f3-bd60-d3d06239ce67 · outbound

This paper cites Kemp and C.

Broadly discrete stable distributions Kemp and C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:54.322644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.827061Z digest=sha256:915742f6178c8494d149322f6ac2ea8c9cd35ecebac26cd6a29dc4b0a84dc3b5

Observation a83b5979-347e-471f-b77e-28e07acc6dd2 · outbound

This paper cites an unresolved cited work.

Broadly discrete stable distributions Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:35:54.103145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.909980Z digest=sha256:29826bfda8078e13d59d4db1a956e646ae294dc240b9b58dff8bb4c5d2fb32dd

Observation d245efc6-c8df-4a46-8451-34fe2ae93bf3 · outbound

This paper cites Kozubowski and Krzysztof Podg´ orski.

Broadly discrete stable distributions Kozubowski and Krzysztof Podg´ orski

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:53.914350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:51.966600Z digest=sha256:d8c9d7325e6fbcc1b1b18f68b02629159e106965bd941fd59e1b6f6bf54a70a8

Observation 2778a425-f181-4627-a793-03d54be0190c · outbound

This paper cites an unresolved cited work.

Broadly discrete stable distributions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:35:53.697853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.021416Z digest=sha256:8373d48e42fcee5a9b70bf010caf363fdc8a50ae6665cf18c39c1b7c32e84ab2

Observation 438aa1fb-bb7d-4d74-8815-6d893f50ae56 · outbound

This paper cites Routledge, 1994.

Broadly discrete stable distributions Routledge, 1994

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:53.451933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.051152Z digest=sha256:c20838e2a5016d1f0766e80d75088064a21dfe4ed524678e3bb72683028a7aaf

Observation 3ca971cc-88e4-4f2e-a678-10e216260428 · outbound

This paper cites Generalized hypergeometric, digamma and trigamma dis- tributions.Annals of the Institute of Statistical Mathematics, 31(3):373– 390, December 1979.

Broadly discrete stable distributions Generalized hypergeometric, digamma and trigamma dis- tributions.Annals of the Institute of Statistical Mathematics, 31(3):373– 390, December 1979

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:53.178993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.103268Z digest=sha256:55da350ab5734760e22b82b24beb7356d86475f6efd2604e6d15ed4a42402d53

Observation 5ffa42f4-d7d4-4a7a-8e77-8d5ff5e64433 · outbound

This paper cites an unresolved cited work.

Broadly discrete stable distributions Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T05:35:52.945600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.161210Z digest=sha256:1ca953deb1875bfcb85dfbc1909d3e766ffe32f5629281514b9aa6f5db66b849

Observation 6b3ec960-1f52-4244-8849-dd37fec817a0 · outbound

This paper cites Steutel and Klaas van Harn.Infinite Divisibility of Probability Distributions on the Real Line.

Broadly discrete stable distributions Steutel and Klaas van Harn.Infinite Divisibility of Probability Distributions on the Real Line

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:52.763744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.221669Z digest=sha256:d7161a94e4542809f4afbdee6d29b2192c3683427cdc86a0738ef3a9deac2045

Observation f55dc64e-8bac-4b86-8283-a3cb32f1fc1c · outbound

This paper cites William Townes.

Broadly discrete stable distributions William Townes

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:52.594693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.251668Z digest=sha256:c02fca1330266c0d2c496e65aeaea0fe8f2c346563d6d5597e3c8cb93d9d234f

Observation 3c253d8e-54c2-44d1-a3fd-7521ca556fc8 · outbound

This paper cites Dover Publications, 2010.

Broadly discrete stable distributions Dover Publications, 2010

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:35:52.446879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-05T05:35:52.307292Z digest=sha256:b2b0c5217505f73c78273231977807446348a7c8b7ffc55cb6e80bb852830151

Pith citing papers

Observation 9b91145c-1772-45ef-9f74-7d5680700dbb · inbound

Bernstein Functions at Work: Coalescents, Copulas, and Subordination cites this paper.

Bernstein Functions at Work: Coalescents, Copulas, and Subordination Broadly discrete stable distributions

Reference 38

Resolution
unresolved
no resolver link, observed 2026-07-11T18:56:45.267759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T18:56:45.267759Z digest=sha256:e9a7a7fdfc86ddaa171b17f124b7047c906242f3e68e584700cae9b4b7d0beff