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Paper Citation Record · LEDGER

Free self-decomposability and unimodality of the Fuss-Catalan distributions

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.07887.

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

pith.paper-citation-record.v1
1908.07887 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:17:05.328792Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 45d381ee-bf81-45a0-8f7a-10b5def9bdad · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.643852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.229826Z digest=sha256:a7266f0e2677622f6ab00cc2efb93fb1ac186d392cb409526faca784b83ae3ff

Observation 0415b0c0-f362-48a4-96c9-b3c6f0facf3a · outbound

This paper cites Arizmendi, T.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Arizmendi, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.632453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.234896Z digest=sha256:f45124b19b818f6427be3b00a4282079cc04fbccf9875c8c8b0cd1ed04d90553

Observation 55a23ea2-6a08-446f-b974-a333f8460308 · outbound

This paper cites Arizmendi, T.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Arizmendi, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.620754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.239720Z digest=sha256:5bc497845ad6e31cc950f19b7d226fd5f0ed3a0078213f21d1c13f797b4b2d3e

Observation fb168115-e857-466e-b212-7490c2a81802 · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.609217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.243915Z digest=sha256:85c8fc49be98e0103c42c268b0658b3a3c0da0f864156bde5bc0676c1ea70e92

Observation de6a4326-cf6c-48b7-815d-dbccaf6d3a25 · outbound

This paper cites Belinschi, M.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Belinschi, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.596556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.248502Z digest=sha256:51bf674ad0bfa7c3048e22d8c052c41accd278a697543eb39d13e9b62c80f195

Observation 20bceab4-4dad-43aa-83e6-f408178f7e96 · outbound

This paper cites Benaych-Georges, Taylor expansions of R-transforms : application to supports and moments.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Benaych-Georges, Taylor expansions of R-transforms : application to supports and moments

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.586094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.253188Z digest=sha256:4cdfe4ff7130327bec294c11095c86b0be2e1957acabc87f5a0f77c5f9326155

Observation 3090d976-e2f2-4f70-97e9-94d1486fc52a · outbound

This paper cites Bercovici, D.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Bercovici, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.575061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.257818Z digest=sha256:fe011ca18d50eb6b83bee6efb55b00fcd4d8f59e07ae5d377ce732f6c9d68882

Observation c44fd568-c134-4182-8b1f-5bf9bc39db35 · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.562606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.261805Z digest=sha256:af8e9f3bf5fed0a5146b98f5727687ed3b90b2a5f30973bcce70e8397fe82ad9

Observation 1e1a63c2-9dbe-44a0-90cc-791469056d53 · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.550659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.265685Z digest=sha256:e1e36bad658cbdb51bc0707fad4036eeb440f29b561c5c7bda2c520c579b6536

Observation ddd4ac9a-d386-4988-be31-1b0932acff7c · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.539103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.270350Z digest=sha256:f009b685281bf5fc52a53398364d06af5263683f1467ea95241c63b6b20a6f3f

Observation c81f6cc8-5896-442c-870f-c780340ce652 · outbound

This paper cites Hasebe, Free infinite divisibility for beta distribu tions and related ones.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Hasebe, Free infinite divisibility for beta distribu tions and related ones

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.525413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.275045Z digest=sha256:aa061bee19af194fc4e0b65645c695ae5932bdc6c17500c518123925626ad357

Observation 3a10a902-016c-4ef7-9c3b-0b5842a98097 · outbound

This paper cites Hasebe, S.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Hasebe, S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.514042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.279500Z digest=sha256:4992e9c2a837f525a81fccfd4247e652ee5c0a6e5542e013c79703f8afda3e12

Observation 60c954e9-ef5c-46cd-9b3b-1d9953312cf2 · outbound

This paper cites Hasebe, S.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Hasebe, S

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.502241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.284414Z digest=sha256:4ff94913a5ab9b00137219b520f85bb81fba7d0fa38e73d3252905b3c1b6d9ca

Observation d7977412-14e3-4481-ab5e-e9c4ad612998 · outbound

This paper cites Liu and R.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Liu and R

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.490583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.288968Z digest=sha256:dcda0dcb2f2122f941ab0c3c8193e5b11a46b382b4cf7cc87bc4e03872e5abce

Observation 549771af-5b5e-48c0-adb9-625e4df30c74 · outbound

This paper cites Młotkowski, Fuss-Catalan numbers in noncommutativ e probability.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Młotkowski, Fuss-Catalan numbers in noncommutativ e probability

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.477776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.293542Z digest=sha256:2db0f8479ad14ca5dba73c46775315144dc7f4b59d3047092addbd7580ac9916

Observation a3905778-31af-422c-8aef-34dbf832fdf8 · outbound

This paper cites Młotkowski, K.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Młotkowski, K

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.464280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.296949Z digest=sha256:b6cf0d79dcc55c750c89c78bef539ad12022fa878e4680151da712b7af2aa33d

Observation bb9bdc1a-3f3e-4821-afdf-f4a66cb3808c · outbound

This paper cites Młotkowski, K.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Młotkowski, K

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.452258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.300588Z digest=sha256:3e674b4f49081e17739526913b1c22062fd9e58ee87f339b8a43e0075253d6b3

Observation 5054968c-0f87-4bfb-9c1f-8d8df9bd924f · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.440929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.304295Z digest=sha256:f81deb57dec09e809ae774891af397631a53d03e34abc77015d0de2186a3687b

Observation 311f1f11-d63c-4d63-9569-15b641cfbcf6 · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.429836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.307818Z digest=sha256:3704f4ac2e2fd7010ae696b2082de77f483e676e648b2147b397fd5e40913da8

Observation e842cc88-f059-43f9-ba42-ea7bf257f438 · outbound

This paper cites an unresolved cited work.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:17:05.417435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.311308Z digest=sha256:22de7bc95db972941dbe5299ae6f8fd9836c18528501812b06e09992d98beb33

Observation 5a6f24da-4a57-4496-b634-8768808ee7df · outbound

This paper cites Penson, K.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Penson, K

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.404546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.315106Z digest=sha256:564222f1d8a264e1b9bbce41607698bfd88eb5710b93df2efeb7c8c19ced2ab8

Observation fe636b67-07e2-4e78-805d-0dacb1c51d6c · outbound

This paper cites Sato, Class L of multivariate distributions of its su bclasses.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Sato, Class L of multivariate distributions of its su bclasses

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.391034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.320211Z digest=sha256:4340c874ed23e3fa8c1e03c68cc2e327e4b20add3774c68567033bc720155cb7

Observation dcf8e24a-e320-415d-8f7d-957fcd0fdf30 · outbound

This paper cites Sato, Fractional integrals and extensions of selfde composability.Lévy matters I, 1–91, 197–198, Lecture Notes in Math., 2001, Lévy Matters, Springer, Berlin, (2010).

Free self-decomposability and unimodality of the Fuss-Catalan distributions Sato, Fractional integrals and extensions of selfde composability.Lévy matters I, 1–91, 197–198, Lecture Notes in Math., 2001, Lévy Matters, Springer, Berlin, (2010)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.377947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.324430Z digest=sha256:325c99fd58afaaf2c16bf904c4b197cc317aea1af505d2ea95ed230827a1417c

Observation 04050b10-e572-486b-8e38-6bc974e71856 · outbound

This paper cites Y amazato, Unimodality of infinitely divisible distr ibution functions of class L, Ann.

Free self-decomposability and unimodality of the Fuss-Catalan distributions Y amazato, Unimodality of infinitely divisible distr ibution functions of class L, Ann

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:17:05.363777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:17:05.328792Z digest=sha256:159353da85b73f5c6b07830185289b369ce98cac4c5f1169b7976a80a3074e48

Pith citing papers

No inbound Pith citation observations are available.