Paper Citation Record · LEDGER

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2509.07244.

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

pith.paper-citation-record.v1
2509.07244 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:26:51.839913Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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 exact2
verified fuzzy12
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 98f2c46c-da2b-465f-92c4-5ba524b3cdd0 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.460662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e2e40a58-6b0d-4f23-bd79-c671ccd58f15 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.446478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 446e48dc-7bb6-4f49-b005-c66292114580 · outbound

This paper cites Berger,On quasi-infinitely divisible distributions with a point mass, Math.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Berger,On quasi-infinitely divisible distributions with a point mass, Math

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.431697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9ff9f9f9-e42b-489e-93cb-13ae3fe03fa3 · outbound

This paper cites Berger, M.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Berger, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.418941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cb7e9c7b-6eda-4502-b515-7d057e02ca26 · outbound

This paper cites Berger, M.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Berger, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.405173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 32317395-1019-4b81-90da-277844117b59 · outbound

This paper cites Invertible Complex Measures on Euclidean Spaces.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Invertible Complex Measures on Euclidean Spaces

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-15T16:26:52.072399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d69e33b-d44b-4952-a7c9-852d7d817552 · outbound

This paper cites Chhaiba, N.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Chhaiba, N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.387894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 17c6a172-0b8b-4fc5-bef6-b23e4def4454 · outbound

This paper cites Cuppens,Decompositions of Multivariate Probabilities, Academic Press, New-York–London, 1975.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Cuppens,Decompositions of Multivariate Probabilities, Academic Press, New-York–London, 1975

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.371497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 099bc925-7206-49ee-8c4d-8f647c57a689 · outbound

This paper cites Demni, Z.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Demni, Z

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.353024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 55e7f5f1-154d-4cfb-8af3-2e4d3ca85055 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.337239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 93ae0c92-f411-4ff9-93d6-12199458d258 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.320218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a93a02a9-e967-49bf-b8d2-1526534bd54e · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.303859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d74c3a02-550f-4e51-98f8-871035299b2a · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.283171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f0d6b3ff-f795-48aa-b235-6d247fa4ff3e · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.265177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6aed1158-2739-4921-ae8c-81e8da537904 · outbound

This paper cites The class $\boldsymbol{Q}$ and mixture distributions with dominated continuous singular parts.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts The class $\boldsymbol{Q}$ and mixture distributions with dominated continuous singular parts

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T16:26:51.793165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dc0d30c-0e84-41c7-bdad-81bb2925a323 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.248316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2ae73ff9-1cc8-4cb0-83f8-3f8a2d4d00e9 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.229028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 90ae5733-a44a-4ad2-bdee-69365273257e · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.210482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dcd5ec07-fe38-4b02-b4cb-acec94d5e90b · outbound

This paper cites Lindner, L.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Lindner, L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.194444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 83973420-b8ab-49eb-8158-7073cdbd3a96 · outbound

This paper cites Lindner, K.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Lindner, K

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.178371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5dbd4e37-3f49-4030-8612-6bf58f1da061 · outbound

This paper cites an unresolved cited work.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:26:52.164436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7a552097-348a-4c1e-a362-a7af7f2d557b · outbound

This paper cites Lukacs,Characteristic Functions, Griffin, London, 1970.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Lukacs,Characteristic Functions, Griffin, London, 1970

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.148764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 132999c3-0698-436e-9514-9c105d2b424c · outbound

This paper cites Nakamura,A complete Riemann zeta distribution and the Riemann hypothesis, Bernoulli21(2015), 1, 604–617.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Nakamura,A complete Riemann zeta distribution and the Riemann hypothesis, Bernoulli21(2015), 1, 604–617

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.134143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2c4a21c0-b964-4335-8c94-1bf5f742609c · outbound

This paper cites Panov, A.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Panov, A

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-15T16:26:52.033801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d5e6eaf7-2b5a-4eb9-b3f9-c30399aab970 · outbound

This paper cites Passeggeri,Spectral representation of quasi-infinitely divisible processes, Stoch.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Passeggeri,Spectral representation of quasi-infinitely divisible processes, Stoch

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.115856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b7ccd25a-3238-4818-a332-193cb0208f49 · outbound

This paper cites Zhang, Y.

On necessary conditions of rational-infinite divisibility for distributions with non-zero discrete parts Zhang, Y

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:26:52.093034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.