Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T05:59:57.529017Z
Paper Citation Record · LEDGER
Several expressions for degenerate harmonic numbers and some related numbers
As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2508.01189.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy8
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 69249bcb-5d02-4e91-9bfe-8590a1548f1d · outbound
This paper cites Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, vol.
Several expressions for degenerate harmonic numbers and some related numbers Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards Applied Mathematics Series, vol
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.746052Z
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 6b11862a-e793-4c12-84a4-c05978e7b312 · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.733679Z
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 bd6a8db8-5aaf-4990-874d-af0b2c5cfcd3 · outbound
This paper cites S.; Acikgoz, M.; Araci, S.A new construction on the degenerate Hurwitz-zeta function associated with certain applications, Proc.
Several expressions for degenerate harmonic numbers and some related numbers S.; Acikgoz, M.; Araci, S.A new construction on the degenerate Hurwitz-zeta function associated with certain applications, Proc
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T05:59:57.473576Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fdbe85d-acce-4a62-8ac7-f3a1dd25a484 · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.715300Z
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 3cc3e0a8-55ba-4147-832a-0e1ed523d6b9 · outbound
This paper cites Degenerate Stirling, Bernoulli and Eulerian numbers,Utilitas Math.
Several expressions for degenerate harmonic numbers and some related numbers Degenerate Stirling, Bernoulli and Eulerian numbers,Utilitas Math
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.704338Z
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 f3b85390-735d-466d-9ba9-2fbaba364d57 · outbound
This paper cites Advanced combinatorics.
Several expressions for degenerate harmonic numbers and some related numbers Advanced combinatorics
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T05:59:57.485141Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1997d0b8-9832-40b6-9155-d13bdd3446fa · outbound
This paper cites H.; Guy, R.
Several expressions for degenerate harmonic numbers and some related numbers H.; Guy, R
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.686849Z
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 60e7f86e-e524-4f33-a485-9b8ca8a6dd8e · outbound
This paper cites L.; Knuth, D.
Several expressions for degenerate harmonic numbers and some related numbers L.; Knuth, D
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.675586Z
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 16696c90-d706-4239-901b-cd062a669bec · outbound
This paper cites S.; Kim, T.
Several expressions for degenerate harmonic numbers and some related numbers S.; Kim, T
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T05:59:57.495668Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d47a847-4507-4e9a-9bad-12e3feb1e106 · outbound
This paper cites S.; Kim, T.
Several expressions for degenerate harmonic numbers and some related numbers S.; Kim, T
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.653763Z
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 dad19311-9008-4bc5-9b11-5066c6cc2f11 · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.642532Z
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 1985ac38-e4d4-419d-b0fb-9de41db0b365 · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.632091Z
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 66e92e50-7cbc-4654-8fc1-ec29d14b9030 · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.621294Z
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 ba6e412f-7709-449e-8164-1ebee019b34c · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.610811Z
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 f220fdf9-b720-41a6-851d-9c2e9b2d3a66 · outbound
This paper cites S.; Dolgy, D.
Several expressions for degenerate harmonic numbers and some related numbers S.; Dolgy, D
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T05:59:57.516121Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c5d61756-e7b1-446d-939e-4b772dec044c · outbound
This paper cites S.; Kim, H.
Several expressions for degenerate harmonic numbers and some related numbers S.; Kim, H
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.593083Z
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 41aeb828-eb2c-4f92-b450-f2439fb210ed · outbound
This paper cites an unresolved cited work.
Several expressions for degenerate harmonic numbers and some related numbers Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T05:59:57.582510Z
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 8175a567-93a4-43ea-ac97-d31732adb628 · outbound
This paper cites The umbral calculus.
Several expressions for degenerate harmonic numbers and some related numbers The umbral calculus
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.572164Z
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 f2107d17-070b-4e6a-98f5-c3308fe74729 · outbound
This paper cites Identities and relations related to combinatorial numbers and polynomials, Proc.
Several expressions for degenerate harmonic numbers and some related numbers Identities and relations related to combinatorial numbers and polynomials, Proc
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T05:59:57.561056Z
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.