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Paper Citation Record · LEDGER

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:1908.06587.

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

pith.paper-citation-record.v1
1908.06587 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:49:02.250283Z

measured 16 of 16 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

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1351961-a19a-4a76-9cff-a486d5b972a3 · outbound

This paper cites Carlitz, Degenerate Stirling, Bernoulli and Euleria n numbers, Utilitas Math.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Carlitz, Degenerate Stirling, Bernoulli and Euleria n numbers, Utilitas Math

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.461875Z

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=2026-08-14T12:49:02.188488Z digest=sha256:39bf38684de2bb1e788c0d079ada5d5ee2ec2999a67be39f89fa240c5dad677b

Observation 87b5e30a-2a41-47e0-ab3d-503fc14cb5fb · outbound

This paper cites Carlitz, A degenerate Staudt-Clausen theorem, Arch.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Carlitz, A degenerate Staudt-Clausen theorem, Arch

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-14T12:49:02.193251Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:49:02.193251Z digest=sha256:c59177a08178fd8457c2785e0080b7c48af2deea232a036fe603ee764952d737

Observation 45260877-aec0-44fb-a810-9807adfec2c1 · outbound

This paper cites Dolgy, T.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Dolgy, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.440314Z

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=2026-08-14T12:49:02.197536Z digest=sha256:a0ce51f99e2d28e77479281896362ce8cd77f8e67d53e148ed53bf2496827ea1

Observation d6d7fb8f-b6df-456e-81ef-919199d32924 · outbound

This paper cites Haroon, W.A.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Haroon, W.A

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.430176Z

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=2026-08-14T12:49:02.202170Z digest=sha256:555fb8cff0ceed2e908c9d90ef68f679f3997922fad1619bc088e1da4a6da41c

Observation 3acfcdba-77e3-497e-8eab-a73560297af0 · outbound

This paper cites an unresolved cited work.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:49:02.420498Z

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=2026-08-14T12:49:02.206434Z digest=sha256:e53d06111364be83c19867a345cdd37ea5092cafb723ca4559d4d3338058dcdc

Observation 557c1bfa-3c0c-47fd-a775-bcedd050b439 · outbound

This paper cites an unresolved cited work.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:49:02.409999Z

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=2026-08-14T12:49:02.211029Z digest=sha256:a1e6f14ce68d99fcc483eaaa311ba1dfc939fced7266d763e239960dbbcc41fc

Observation b8b407c3-d0da-4ac1-a7a5-74c1dd88247c · outbound

This paper cites Kim, H.Y.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Kim, H.Y

Reference 7

Resolution
verified exact
doi, observed 2026-08-14T12:49:02.282152Z

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=2026-08-14T12:49:02.215466Z digest=sha256:d4cc0204b98b35bb386bf8a1e1615088440fc3172e3b116423c2d0d7a48f9ef3

Observation ce481e11-7477-4fe7-9925-fbacb656b648 · outbound

This paper cites Kim, G.-W.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Kim, G.-W

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.397646Z

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=2026-08-14T12:49:02.220975Z digest=sha256:ced25af8d531c2a8257b5f7679b48290bd825470319d8a36581ac127c9447d76

Observation 7ec57bf9-cb30-4f19-b829-a9efb3f953a9 · outbound

This paper cites Kim, D.S.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Kim, D.S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.386229Z

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=2026-08-14T12:49:02.224828Z digest=sha256:f8223ae1b531e2349d9c9c7d61fa8c06c0b2dc1e7ce531e0ef330ce9ebd3e7d0

Observation 910800d8-2aa0-4c05-b79c-7d5f9fa45b4c · outbound

This paper cites Kim, A note on degenerate Stirling polynomials of the second kind, Proc.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Kim, A note on degenerate Stirling polynomials of the second kind, Proc

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.373659Z

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=2026-08-14T12:49:02.228731Z digest=sha256:d55ecbb31da49b57cca8162234d0767d3acacb2caf9df2d4538fef33f2483c40

Observation 05b70d17-11de-491b-84df-9b6cbb636a12 · outbound

This paper cites an unresolved cited work.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:49:02.361953Z

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=2026-08-14T12:49:02.232456Z digest=sha256:3b97254c7e42103b506c2eaaa297f6062150db284dcca625dc8eedb0e7b2a83e

Observation 4062f02b-730b-4f9b-b5ab-84a99213edf6 · outbound

This paper cites Kim, D.S.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Kim, D.S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.349491Z

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=2026-08-14T12:49:02.236295Z digest=sha256:1d2c5888698dbc3d6981ca9e02d11cff7f78705e1ab8902649549205f0d56fb6

Observation b1128460-1c19-4728-b913-98202bdf25f7 · outbound

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

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Roman, The umbral calculus, Pure and Applied Mathematics 111, Academic Press, Inc

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.335982Z

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=2026-08-14T12:49:02.240032Z digest=sha256:9d8f6d49a761562ebbb6ee1932488acf529ade55813bf8f55b124131f46b6c64

Observation d349e51c-cab5-4a3c-9bf6-9bdba97d3091 · outbound

This paper cites Simsek, Identities and relations related to combina torial numbers and polynomials, Proc.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Simsek, Identities and relations related to combina torial numbers and polynomials, Proc

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.323612Z

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=2026-08-14T12:49:02.243640Z digest=sha256:b15a58263f20f1992a56f8057714b230eb8c0a8be7aeab5a1a0e6e2cf5b8daec

Observation 10578a81-d9ec-4bbe-b387-96beb8eba175 · outbound

This paper cites Simsek, Identities on the Changhee numbers and Apost ol-type Daehee polynomials, Adv.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Simsek, Identities on the Changhee numbers and Apost ol-type Daehee polynomials, Adv

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.309601Z

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=2026-08-14T12:49:02.246956Z digest=sha256:100851bacfa5ca2d788259fe48f0d8ef936ecf1c5fddda65b02a934853aee3c3

Observation 14447121-4a59-4fdb-975c-5ff1927b4d25 · outbound

This paper cites Zhang, X.

Some identities of type 2 Degenerate Bernoulli polynomials of the second kind Zhang, X

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:49:02.296135Z

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=2026-08-14T12:49:02.250283Z digest=sha256:877097fa07d713c50db7c307a5086d8a848c4d0b39acc3e3cb081159a7eb44c1

Pith citing papers

No inbound Pith citation observations are available.