Pith. sign in

Paper Citation Record · LEDGER

A note on degenerate Euler and Bernoulli polynomials of complex variable

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:1908.03783.

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

pith.paper-citation-record.v1
1908.03783 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:11:33.645101Z

measured 21 of 21 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:37:50.277113Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T10:37:50.373048Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 67976068-0ab9-4537-916c-24aeb07264f1 · outbound

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

A note on degenerate Euler and Bernoulli polynomials of complex variable Carlitz, Degenerate Stirling, Bernoulli and Eulerian numbers, Utilitas Math

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T14:11:33.354289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:11:33.354289Z digest=sha256:a9c7ffcec0a46979a0e6ace518c7d80c426713a5f595fc671c6f3aac1806bd09

Observation 5e46f74d-3b9e-4f5d-8ef9-7ae6c657840f · outbound

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

A note on degenerate Euler and Bernoulli polynomials of complex variable Carlitz, A degenerate Staud-Clausen theorem, Arch

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.794569Z

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=2026-08-14T14:11:33.365640Z digest=sha256:3be58cb4c7a1a52615a5dfcf11a6f5e36bbce535b93ea19c44366ae07a59e82f

Observation 6ff92819-d932-4c03-a524-363f0146ec3a · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T14:11:33.378500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:11:33.378500Z digest=sha256:a82fe7f7396410793efde1f0be42b38c50ef12ff906ccc19f2a6b37835dfaa78

Observation f2d6b209-2581-4059-96d9-d635ebf4c3c3 · outbound

This paper cites Haroon, W.

A note on degenerate Euler and Bernoulli polynomials of complex variable Haroon, W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.700376Z

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=2026-08-14T14:11:33.393762Z digest=sha256:8b505e1096a62e7f4851d2a9a4dac45ee75804f9870102cba3ec23889f7d4ac1

Observation 887c3ebf-c04d-48b0-b8ed-ea7b86c20064 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.642217Z

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=2026-08-14T14:11:33.412225Z digest=sha256:afe86bee329e5858ffb065e2fe09df8ff23a9749d387a89b460344b9d1b0037a

Observation f88abed5-3508-4a53-b59e-0ed4ed0645a9 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.545921Z

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=2026-08-14T14:11:33.429937Z digest=sha256:3616329df1d35c6b36e28829dfd46f3d7da0f3f8187c022697531c0bf99e570b

Observation bef6c383-1607-4276-8180-b96364880e5e · outbound

This paper cites Kim, G.-W.

A note on degenerate Euler and Bernoulli polynomials of complex variable Kim, G.-W

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.479270Z

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=2026-08-14T14:11:33.447323Z digest=sha256:2804c79db68c7bf7e12eff8ede4ac8e0a65620557df3084fab430c85a2a826bd

Observation 80a9d2f0-87b8-41d2-81dd-33cfdf684219 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.432893Z

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=2026-08-14T14:11:33.457140Z digest=sha256:ea67564a1e8cb12412368926623dff4d9a76ea25b2430580ecaa179e31d5edcb

Observation 75ef8f9d-1201-41f4-a9ad-4a0c9675913c · outbound

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

A note on degenerate Euler and Bernoulli polynomials of complex variable Kim, A note on degenerate Stirling polynomials of the second kind , Proc

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T14:11:33.480291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:11:33.480291Z digest=sha256:605c928f77cdaf9beb20772669a48cdb4ae4745a6e3bc2eb80121de688145fd9

Observation 55ea6313-38e0-4ef6-8db4-31464ed5e242 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.350086Z

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=2026-08-14T14:11:33.487138Z digest=sha256:4d33fc0fc668efa97440430fa495f720c160fdfc121a33c1789fea79a00c9be2

Observation 1f2c1e9a-0e16-4e61-9263-5e88fe1d91cc · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.306546Z

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=2026-08-14T14:11:33.498141Z digest=sha256:9324cd39b02ad3ebcc3595bae1d2af7337e31d3cbe377e88b93ac442a182960c

Observation 16898b27-566d-4d2c-a83f-b5aed73a3c27 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.280647Z

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=2026-08-14T14:11:33.514656Z digest=sha256:2a2d21780f5a942347c36da1ae04560524ef395abb1f6d8aa540e8b6ba459fd9

Observation f1bf5263-ae88-4589-b749-556c1626fe3f · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.246814Z

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=2026-08-14T14:11:33.521270Z digest=sha256:acef2198c03a5d66609faa1da5b85ab6e811ef46448e2b04cb6b3082a2190e31

Observation a58a8a5b-0d09-47bd-9909-9f8a61d45938 · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:34.164980Z

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=2026-08-14T14:11:33.534497Z digest=sha256:2709349eaa7d6a9a94f9349f5eb1cd4481de242265419ff76d83c224a85fcdaf

Observation 2b4ae570-c64f-4a4b-a486-696969c4973e · outbound

This paper cites Masjed-Jamei, M.

A note on degenerate Euler and Bernoulli polynomials of complex variable Masjed-Jamei, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.141661Z

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=2026-08-14T14:11:33.546117Z digest=sha256:363bd220c3d7d793d51d8be404765e7bfaec91c6a03e3aaa4e6dbced51bfb558

Observation 85f6b435-e88b-40bd-a4cc-846240f45075 · outbound

This paper cites Masjed-Jamei, M.

A note on degenerate Euler and Bernoulli polynomials of complex variable Masjed-Jamei, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.098547Z

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=2026-08-14T14:11:33.563975Z digest=sha256:543d6d532f1ab5071dafb046e582d2829af85bb1d45481207eff280acfa2978b

Observation 7a6afab3-d71d-465c-8c44-82cc1726c1e1 · outbound

This paper cites Roman, The umbral calculus.

A note on degenerate Euler and Bernoulli polynomials of complex variable Roman, The umbral calculus

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:34.016518Z

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=2026-08-14T14:11:33.572168Z digest=sha256:d7bda2cb1bd07ac2e438520739011908bf3fc59f69ccb2faf19759a75ab82e9b

Observation a4b7a766-6332-4454-bae5-f4b390863b35 · outbound

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

A note on degenerate Euler and Bernoulli polynomials of complex variable Simsek, Identities on the Changhee numbers and Apostol-type Daehee polynomials, Adv

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:33.786431Z

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=2026-08-14T14:11:33.582651Z digest=sha256:70e2667d9bfbef3410748ca2c25fc6f5568c3ac8c79169956f553ce69e7fdd95

Observation db2b13d3-ff7c-4efc-8535-a770d42dcbc1 · outbound

This paper cites Zhang, J.

A note on degenerate Euler and Bernoulli polynomials of complex variable Zhang, J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:11:33.756154Z

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=2026-08-14T14:11:33.619664Z digest=sha256:e8921d769982148e48f846be40c978d74882dad10255bbf4ee9fa5566960ba1c

Observation 339fd608-c2e3-4398-afcd-13c001ca543f · outbound

This paper cites an unresolved cited work.

A note on degenerate Euler and Bernoulli polynomials of complex variable Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:11:33.736342Z

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=2026-08-14T14:11:33.645101Z digest=sha256:ddf4672fa12a38b1fbb7de424c8b876b25ed1dce29727100fb881e708306f15c

Pith citing papers

Observation c612b9b9-0b31-4511-8bed-57a9bd1b1cc6 · inbound

On type 2 degenerate Bernoulli and Euler polynomials of complex variable cites this paper.

On type 2 degenerate Bernoulli and Euler polynomials of complex variable A note on degenerate Euler and Bernoulli polynomials of complex variable

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:37:50.379925Z

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=2026-08-14T10:37:50.277113Z digest=sha256:4250f4c0aa9e0d7daab115d60ba66f58d7fc7ef1c96861970cf154e00859220c