Paper Citation Record · LEDGER

A note on new type degenerate Srirling numbers of the first kind

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2509.03415.

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

pith.paper-citation-record.v1
2509.03415 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:03:22.049591Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

12 of 12 outbound references displayed

verified exact0
verified fuzzy10
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a867f5ac-fd1a-4d17-b59a-64e4cceec04f · outbound

This paper cites A.; Lekuona, A.

A note on new type degenerate Srirling numbers of the first kind A.; Lekuona, A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.210142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 69b704d0-418d-40d3-b51c-cb0d702faa4b · outbound

This paper cites S.; Acikgoz, M.; Araci, S.A new construction on the degenerate Hurwitz-zeta function associated with certain applications, Proc.

A note on new type degenerate Srirling numbers of the first kind S.; Acikgoz, M.; Araci, S.A new construction on the degenerate Hurwitz-zeta function associated with certain applications, Proc

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.199520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a843fb55-6443-44d1-a64a-9dcfe33b2f09 · outbound

This paper cites Advanced combinatorics.

A note on new type degenerate Srirling numbers of the first kind Advanced combinatorics

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.188471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cb1354a6-d826-46e4-9424-65db8f22e653 · outbound

This paper cites S.; Kim, T.

A note on new type degenerate Srirling numbers of the first kind S.; Kim, T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.178056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 35d17055-b965-4888-bd88-919ffe86e6d9 · outbound

This paper cites an unresolved cited work.

A note on new type degenerate Srirling numbers of the first kind Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:03:22.166455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ea2e488d-ec40-4f0e-83f3-0f41b04e9b22 · outbound

This paper cites an unresolved cited work.

A note on new type degenerate Srirling numbers of the first kind Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T11:03:22.154989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b6628b35-4824-42ab-9490-3f3f5d79215c · outbound

This paper cites S.; Dolgy, D.

A note on new type degenerate Srirling numbers of the first kind S.; Dolgy, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.143497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e064f00b-fa6f-4bfc-87f1-ef7b10a6ac4a · outbound

This paper cites S.; Xu, R.

A note on new type degenerate Srirling numbers of the first kind S.; Xu, R

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.131405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bb361085-59c5-4375-aaf0-1948e251f3da · outbound

This paper cites The umbral calculus, Pure and Applied Mathematics 111, Academic Press, Inc.

A note on new type degenerate Srirling numbers of the first kind The umbral calculus, Pure and Applied Mathematics 111, Academic Press, Inc

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.120291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9bfffea4-c6e0-4f66-a391-21d7489f5ba0 · outbound

This paper cites Introduction to probability models,Thirteenth edition, Academic Press, Lon- don, 2024.

A note on new type degenerate Srirling numbers of the first kind Introduction to probability models,Thirteenth edition, Academic Press, Lon- don, 2024

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.108370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 836a4c80-ca10-4407-95b0-11ca5437b010 · outbound

This paper cites Identities and relations related to combinatorial numbers and polynomials, Proc.

A note on new type degenerate Srirling numbers of the first kind Identities and relations related to combinatorial numbers and polynomials, Proc

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.096743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4bb465a-5179-48cc-bbe8-a2222cccf08c · outbound

This paper cites S.; Zhang, W.Probabilistic degenerate poly-Bell polynomials associated with random variables,Math.

A note on new type degenerate Srirling numbers of the first kind S.; Zhang, W.Probabilistic degenerate poly-Bell polynomials associated with random variables,Math

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T11:03:22.083634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.