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Paper Citation Record · LEDGER

Infinite divisibility of $\alpha$-Cauchy distributions

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 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 28 of 28 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:40:38.902935Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T00:33:56.468715Z

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:dfcfc7692bb66e087799bd203448960fed721eb8fa17a78404fd0fae905b1f83

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:f02d375ab43d5a03fbb66bc781cd9972c8928d3e2ae395a3f45840994d70e4bd

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:b2bc89a5e0375cceaff1d5476932b9edca6fedee73eb0eebae6f74c7a66d53e7

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:11f8af89cf165edbf1c79f0ceba8a847cf84b08c1b6649b059dcef3dd08ef877

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:714783ff051cd8c7c45a4fa2688f884f18b6763e4a5ee4b414bbf291e517d98a

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:bf28126ef378ea61dd49e320e5bb0af992bbf7bef358a2f73b2fccdaedb468b2

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:02a0d8832a01adbb9fadd4d7be8360a540f0e209f96f725948d4599012bd53d1

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:17b9b88aacc45d261581d7f1c1797af43d90fbdb6ec883eaf940d99f3778cfbe

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:999ea651371d37af6fb58dcf0b2fab59c0ae47f9c0d4e3b196a76b8b3accde9a

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:a8e9d04e821facc3fb2d8b6471c059c04aa6b866fa607498d6e0add0e9fb15ed

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:745b1609549a03dd9a3c817ab5fc72febfbac1b96dac90786bf103a4e34e0833

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:a3f487b8a739917a79e8bcbd8521f64d956e560865b85d594e4cd3db8cf31234

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:2d3780410f1495a4cb157be82784c6c13249147dedd26cd2a9a5876bd84d92c0

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:54cf66cbd726c5e022c7d1ab020f31b99f89a42226e0413e3c36aaf7b7414354

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:e6b2973bb0200c735329c957c11c955e571212e3d458391ba605b223bb5d4dbe

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:f68085c354e33f06c0d661fc100123cfafd72baf305855130fc19aad8f482372

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:a54c09225d3faacea2c3ac8ab9f58f5fba00f0687321f778f65d24ba2beccda8

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:342ae5834ac7d6b4f162488304fbd9585c6857d9d2fa5f270d633308e3c8475c

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:90ace29100c9df9e7d426c850e112401bbb3dba8324780ddb8b8e4cc6c1991dd

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:df13c2d026d4b50075079c3702d6f41d9986aa508b151b57b765e408b4edc96d

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:098baaea4881a88de1d2ec70de2cae268214a30fa8745a138b91eb64b77b3499

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:24c44d3f65c21b64899d31b25e7a07f79cf99fdb008f8ac5e287a2c6ed65e898

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:6de216bfbaf1817bf8e94fe4336c8676190961c709b1cd9f88c547492be4e450

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:04492f3a90a3764b24f8b61ee1fa4a1aff810d63998058ec87081d4c2174c36f

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:51aa310cde2648180b43ff0b6d9aa41f7fc94274c0eef0beb3867a60945b8673

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

source=pdf_text observed=2026-05-16T20:03:11.212088Z digest=sha256:78ed6f8ee832b4935f15e2b89786d3c96bdb946995ba6b818ff0678064168a3e

Pith citing papers

Observation 58b9782c-319c-4746-a0c2-ea93096a88bd · inbound

Complete Monotonicity of the Srivastava-Tomovski Function and Its Laplace-Wright Realization cites this paper.

Complete Monotonicity of the Srivastava-Tomovski Function and Its Laplace-Wright Realization Infinite divisibility of $\alpha$-Cauchy distributions

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:33:56.473439Z

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=2026-08-12T00:33:56.226221Z digest=sha256:876fff7667332991b57844d8a900581be51036c97d3d7debd9c724b10cc808a4

Observation 490ebe9a-c690-4d68-9c1b-99179e866e50 · inbound

Complete Monotonicity of the Srivastava-Tomovski Function and Its Laplace-Wright Realization cites this paper.

Complete Monotonicity of the Srivastava-Tomovski Function and Its Laplace-Wright Realization Infinite divisibility of $\alpha$-Cauchy distributions

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-15T14:40:38.902935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:40:38.902935Z digest=sha256:a445020c107677341025a327aeb00d3bce79c6422b5877abf46ec1a253742551