Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:45:02.467480Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 4 inbound Pith citation observations for arXiv:2507.21643.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:45:02.467480Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T14:44:45.383765Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T21:58:58.486581Z
31 of 31 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation e7c7b476-f886-401b-88da-2b2fc6e22974 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Acu, J.A
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 81fb31fc-6ecd-4cc7-a52b-812bfb077fa6 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Adell and S
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 27844c0d-bb25-4cf1-9786-73eb43973615 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Belbachir and Y
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b2d6da7b-bdf3-4f5b-86c7-2033cdc84879 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Belbachir, Y
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2cad090d-9807-47d8-851e-cdec87c419a2 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4d5b8a9f-3d7c-402b-8773-f5800b2a32fd · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8fd459f5-4cb6-4dbc-86f9-df30793e5abb · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ff2e816b-70bc-4793-a192-b30b9f413717 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ecb11ee0-6622-485f-b1d1-bd87efe56041 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties De Angelis and D
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6157f2e1-977c-42f4-a42a-c4796f8b664b · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Dil and V
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5a60fb62-8cd3-4fa6-a991-5048d05ff0ec · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Dil and V
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 759b4d22-1afc-4d4c-be7a-cae7f71bcb66 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Dil and V
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2a0942eb-cb5d-4a91-b16e-71094862a1ad · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Dobi˜ nski, Summierung der Reihe P nm/n! f¨ urm = 1 , 2, 3, 4, 5,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 82d4a1f8-d05f-4415-aeb4-2ce6bbe9677a · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Freud and P.M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 4843f8eb-9aa3-474e-99fc-6004f9eda935 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5706ad64-3ea2-478c-9f8f-21fda27cf330 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bafc3b27-787f-441d-967d-99b12987a1d0 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Kargın, Some formulae for products of geometric polynomials with ap- plications, J
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c67570ea-0d83-4cd5-9ffa-8296b597c2f6 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Kargın and E
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 8cec5b05-be79-4b39-8665-ed924fe8c575 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Kargın and R
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2ab218f5-8db8-474c-8361-40e1e7b2f4ae · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Kargın and B
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9b44472b-653d-4bb2-a8a0-a14cf4809533 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d7b0ad15-171c-478d-83b7-217061599a5f · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Mez˝ o, Ther-Bell numbers, J
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 53f0b3b2-dd1d-411b-bd7a-9a1fd2fbb92c · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Mihoubi and H
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7f382286-a21c-4be7-9b6e-dd4ea804c862 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b35ddaab-d320-40ad-ab5b-9a920ccf409b · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Moshtagh and R
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7ad42368-11d3-45d3-8054-84dc598533c3 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Nkonkobe, B
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3a9533c7-1b5d-4dfc-a2bd-22fc688bf412 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6ad0149b-5a31-4cf2-877a-7cd61eea9d86 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Quaintance and H
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation f2d0f413-cae9-4bfc-aed4-234a74d9d0fe · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Riordan, An Introduction to Combinatorial Analysis , Princeton Univer- sity Press, Princeton, NJ, 1978
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d90dff72-39fa-4c8e-96e7-6f203c595a76 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 3eb6894e-7651-4fbd-83e2-46ddb2444b86 · outbound
Partial Deranged Bell Numbers and Their Combinatorial Properties Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 12e26fdb-c881-44e5-82d3-94133d607dea · inbound
Combinatorics of higher order degenerate $r$-DERANGED Bell Numbers Partial Deranged Bell Numbers and Their Combinatorial Properties
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 99b6798e-1364-4264-b5bc-7c705d350567 · inbound
Combinatorics of higher order degenerate $r$-DERANGED Bell Numbers Partial Deranged Bell Numbers and Their Combinatorial Properties
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 73cf6816-c502-4575-bc02-83188fb2784a · inbound
On Deranged Unit-Interval Parking Functions and the Deranged Bell Numbers Partial Deranged Bell Numbers and Their Combinatorial Properties
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aac25aba-2f96-4fb1-b03b-49930715b67d · inbound
On Deranged Unit-Interval Parking Functions and the Deranged Bell Numbers Partial Deranged Bell Numbers and Their Combinatorial Properties
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.