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Paper Citation Record · LEDGER

Infinite divisibility of $\alpha$-Cauchy distributions

As of 9 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2512.23164.

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

pith.paper-citation-record.v1
2512.23164 v3

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T20:03:11.212088Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 31617190-3593-48a0-aeef-1245f68900a9 · outbound

This paper cites On the infinite divisibility of the half-Cauchy and other decreasing densities and probability functions on the nonnegative line.Scand.

Infinite divisibility of $\alpha$-Cauchy distributions On the infinite divisibility of the half-Cauchy and other decreasing densities and probability functions on the nonnegative line.Scand

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.465080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:124290523c472c35ba54a3efa5f87e31db2f4a5bab3e455c7a99ab8bbe044eed

Observation 29cbe143-430c-443f-ba75-080643ec456b · outbound

This paper cites Springer-Verlag, New York.

Infinite divisibility of $\alpha$-Cauchy distributions Springer-Verlag, New York

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.508513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:ef6873959f6dfcc9b5d3fb6499546c0bb4eef0d931ce9f310b15bc061b1a7968

Observation 39744229-41ee-4f96-aa80-8579398c290f · outbound

This paper cites HCM property and the half-Cauchy distribution.Probab.

Infinite divisibility of $\alpha$-Cauchy distributions HCM property and the half-Cauchy distribution.Probab

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.478083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:43bfd3b65a0181b3e1325ea2b13b0be6d5918c3268d7377688cee41d44d38f54

Observation a11180da-3bc5-44bb-a2e9-7fc50af19429 · outbound

This paper cites Additive properties of the Dufresne laws and their multi- variate extension.J.

Infinite divisibility of $\alpha$-Cauchy distributions Additive properties of the Dufresne laws and their multi- variate extension.J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.474954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:ab2cbb9962c7ac63fa766e02e83eca835374b43fba7933679158850da52b6d53

Observation 0b0bcf09-5225-4354-8550-a66f8a90bf5a · outbound

This paper cites On the self-decomposability of the half-Cauchy distribution.J.

Infinite divisibility of $\alpha$-Cauchy distributions On the self-decomposability of the half-Cauchy distribution.J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.491864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:ea7f4d081de09bd619c3ef1c2bf8d495543cc4dc4b32cc923e0a9ae86166a5d0

Observation dc00bfe9-b20a-40f8-bcbf-7e3d2f7a326b · outbound

This paper cites The beta product distribution with complex parameters.Comm.

Infinite divisibility of $\alpha$-Cauchy distributions The beta product distribution with complex parameters.Comm

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.484121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:9ffdbd97747e9865969de4c1ab60a46c0f6f3a0746029bd501784d09846fcf71

Observation 26dc22f6-dcc6-4fbb-838c-fe66d53745cb · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.496645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:b7102dbcabbbbd46c63f5e6295730adad7398d327f6a62f8a80245111337195d

Observation 38a00d22-bcd7-45bb-a533-57b10bc9d71e · outbound

This paper cites Ferreira, R.A.C.and Simon.

Infinite divisibility of $\alpha$-Cauchy distributions Ferreira, R.A.C.and Simon

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.506338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:20194ae8c03017a220a50431e8308593b4cf4990c882c1360d73431a7af90c53

Observation 52844295-3f34-4e58-8646-569d5d4eacd6 · outbound

This paper cites Kilbas, Francesco Mainardi, and Sergei Rogosin.Mittag-Leffler functions, related topics and applications.

Infinite divisibility of $\alpha$-Cauchy distributions Kilbas, Francesco Mainardi, and Sergei Rogosin.Mittag-Leffler functions, related topics and applications

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.489564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:22b8b7c1e7254a63c00a7730bc70d459e1e36b789f90a9170504b0de7764fd26

Observation 4620e7fe-17e5-467f-af4a-6a6d5a5a385f · outbound

This paper cites On complete monotonicity of three parameter mittag-leffler function.Applicable Analysis and Discrete Mathematics, 15(1):118–128.

Infinite divisibility of $\alpha$-Cauchy distributions On complete monotonicity of three parameter mittag-leffler function.Applicable Analysis and Discrete Mathematics, 15(1):118–128

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.481037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:4099120654063d4e334dade6095d7132a4e8176a3751614cf94c6fb917b52651

Observation 3feb31af-3515-4690-84b6-044406077a30 · outbound

This paper cites Moments of gamma type and the Brownian supremum process area.Probab.

Infinite divisibility of $\alpha$-Cauchy distributions Moments of gamma type and the Brownian supremum process area.Probab

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.468701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:2ed440e3f09caf81a663f1818b3e0f46737dad413f2428b5cdd7cfdda7f6e60c

Observation 36eccc2d-31b0-430f-a0a8-bc843811504c · outbound

This paper cites On some new moments of gamma type.Statist.

Infinite divisibility of $\alpha$-Cauchy distributions On some new moments of gamma type.Statist

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.453561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:d29eb2faef2603b69347de19dcc2dbd0a85d3fb6d61fe05689e6ed13316e9d47

Observation edc41740-62fe-4d0b-ae29-c0b06cf54521 · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.501190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:1eabcea2b49cf879acda33763cfc7d7376064ec33b1560b4531fe9258b28bdb6

Observation 6c7f2c6b-3d9b-4601-8898-f5b7869428ad · outbound

This paper cites Infinite divisibility and variance mixtures of the normal distribution.Ann.

Infinite divisibility of $\alpha$-Cauchy distributions Infinite divisibility and variance mixtures of the normal distribution.Ann

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.503470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:f96207dd8ee9af994ea21cf809add7b0f8fa5d16d798bdbdd7a118c4e09d74c3

Observation 16431be9-4079-4c15-b4bb-cfb23b9b1342 · outbound

This paper cites Kristiansen.

Infinite divisibility of $\alpha$-Cauchy distributions Kristiansen

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.486925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:4ef6d3110b1471c02ecd9515c63490de6c89e5abb50f4081773531202c89ed97

Observation 07dfc9ae-965c-4c14-9a76-871a83be3380 · outbound

This paper cites On the law of homogeneous stable functionals.ESAIM Probab.

Infinite divisibility of $\alpha$-Cauchy distributions On the law of homogeneous stable functionals.ESAIM Probab

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.494214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:70b1f1c2aee722578a21e7e052ea946349c08e3ad61c37b4945f44cdd7efeb82

Observation 4af43b1f-bc0b-4c47-b093-cf5ad1da4864 · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.471802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:8394df474313fb2113ab0bd0e4079a2a20c7e314da83c1fea461c7fdd489af6a

Observation 11aab3ce-cef6-4c56-beb7-8fb2f963ae5e · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.460855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:656a2336d7cd85af9f287d84581007b28fb5febd0dcdfae786fae1e3e3fa39fa

Observation 5faf3040-a728-46b5-a37d-9d304e616121 · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.457426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:7f22952718ba64a8a73d3d635a2f22dde5601a6b743c1432f6e1d8885dc09480

Observation 51aa486e-87ac-4f34-89fd-709716a03d2d · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.498856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:82d0468da365c3ef22b51bd99547eb091de80feec8f7b5d6517d28fd2023eaa5

Observation 3e6caf00-4592-43c5-8e5b-746ff5d8e1c5 · outbound

This paper cites Cambridge University Press, Cambridge.

Infinite divisibility of $\alpha$-Cauchy distributions Cambridge University Press, Cambridge

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.518134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:1f9750bdb8e1e52cbe6b9b6e9b1ee4b35bf2185cdb13be4c9e90b6685c353d6f

Observation 95710281-a76b-4791-8a98-f732103d7baf · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.520326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:442e6f5bffc158944a5bad3777c25b2100797b939ff9100200eaf0bda5e9c24e

Observation 29d85541-9fea-4ee1-8b1a-6a86854833cd · outbound

This paper cites A Probabilistic Perspective on Feller, Pollard and the Complete Monotonicity of the Mittag-Leffler Function.

Infinite divisibility of $\alpha$-Cauchy distributions A Probabilistic Perspective on Feller, Pollard and the Complete Monotonicity of the Mittag-Leffler Function

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-16T20:03:22.119622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:e7ad08a1ae41861da2515d5a2ceecfac5fd6bb62728805aff4841ceb1b8e548b

Observation 6fc48cef-3946-4726-9c20-557b1a5e31be · outbound

This paper cites Steutel and Klaas van Harn.Infinite divisibility of probability distributions on the real line, volume 259 ofMonographs and Textbooks in Pure and Applied Mathematics.

Infinite divisibility of $\alpha$-Cauchy distributions Steutel and Klaas van Harn.Infinite divisibility of probability distributions on the real line, volume 259 ofMonographs and Textbooks in Pure and Applied Mathematics

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.511177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:8e301efa7441cd0ec42baae70d46fbd544a5727ab43f9ca145359f87a4a2fe86

Observation 2d76d777-b5ca-4fec-bf67-9b2ced845cd2 · outbound

This paper cites On the laws of first hitting times of points for one-dimensional symmetric stable L´ evy processes.

Infinite divisibility of $\alpha$-Cauchy distributions On the laws of first hitting times of points for one-dimensional symmetric stable L´ evy processes

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T20:03:22.513627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:b9fba5e9587a34d577e05510c4d6a61061970609c31ca9d919515a4bff5d60c3

Observation acc3c169-83e2-4994-92f6-1b4deaf0f618 · outbound

This paper cites an unresolved cited work.

Infinite divisibility of $\alpha$-Cauchy distributions Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-16T20:03:22.515924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:def1c14db5fe5a35437e850fb387d4e2305b6ec3d0aa96b896d18d34c81581fe

Pith citing papers

No inbound Pith citation observations are available.