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Paper Citation Record · LEDGER

Broadly discrete stable distributions

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.368015Z digest=sha256:a814f586d3fccc8c5ae95816a474e714f62996e02500aec00d621f81808d196c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.423797Z digest=sha256:d96e6e4122c85bda6b0973e3f8e4f9e22c5be3f34acdf12b877bc0ee71a7e277

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.453959Z digest=sha256:1da6eacd4d020789a271ce2754bce840b61f4ebe3f1f479d9b20d78c18143c53

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.512518Z digest=sha256:63b8c65495a5ded12a2215e36830abdea1c7bf4c2dbac3d1f8be39a0b097d5db

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.567446Z digest=sha256:d3844073ba4b58ae46218e2c224643e4bf94a16e4e019473a2bb1f6debaa599b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.624696Z digest=sha256:9e9936c0f77660de18897ea43340bf4df7713c2f7d3d19be66ae9dd536787dbd

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.681886Z digest=sha256:533c698916c8840926a0b1073d503ad518baaa4c2ee3b16c21e6ec2230ac2492

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.741465Z digest=sha256:6148220305c971cc0b01669875c92802b8d240bc196d832d955f160b3e8f13bb

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.772674Z digest=sha256:b66d0454813828157c03d4dcf88988107cbbd0ccb096123de679f0136a047f5d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.827061Z digest=sha256:a81ae72309fceb2839528cdb20a950552c6e3c9ebf8b41853f4b3702ecf197b9

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.909980Z digest=sha256:d1d53a31e1f1b3f905587bdb40b9fba564f4f37f272d392075782c9429c80ca0

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:51.966600Z digest=sha256:003cdbea88384d5d7aace4d5862ae01f668f2bacddc11ee56fb0f74cb5472e67

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.021416Z digest=sha256:a0b8b7c154c4561a44d345188c6812f49c075789918a742a1108f5cde3ed0a7b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.051152Z digest=sha256:f638bb10fa15454878fa6977c94f222bc526733bf333b4fb56a799381f7c9732

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.103268Z digest=sha256:3ed2971c7bb46e6e3f01bfa8db6d40f2ab3934326a2bd76ac5aee1c40cb009bd

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.161210Z digest=sha256:5935fef901d614d3d1863a005c380df163fe23fee20996b269a3faa309b000fe

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.221669Z digest=sha256:cf0f4f957e9fa4aaaffdab36e9817e629333f8e46cbc8ba462cae7406d380f42

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.251668Z digest=sha256:f70bda19c94478ef20c2e58b94d4963d74d042e77eead9164ac5410e4deb23cc

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-05T05:35:52.307292Z digest=sha256:cfb1c1c99156b67f198fdb11d55bbef7f5e5016da55fa46f0ae70d2a668256e5

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:f573e837a74f43627679e5c2679652927981b838e2a38df86e6bae3036c880de