Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Umbral Calculus, a Different Mathematical Language
As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1803.03108.
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 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:57:57.201730Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T10:30:58.399656Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 487bb009-d618-4c14-b4ec-f7bea4caca1c · inbound
Operational vs. Umbral Methods and Borel Transform cites this paper.
Operational vs. Umbral Methods and Borel Transform Umbral Calculus, a Different Mathematical Language
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:57:57.201730Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c35b1fd6-5c7d-48c8-9ff7-78203e625371 · inbound
Can Umbral and $q$-calculus be merged? cites this paper.
Can Umbral and $q$-calculus be merged? Umbral Calculus, a Different Mathematical Language
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T10:30:58.424236Z
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.