Paper Citation Record · LEDGER

Some identities which involve Stirling numbers

As of 8 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 0 inbound Pith citation observations for arXiv:2505.21197.

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

pith.paper-citation-record.v1
2505.21197 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:44:41.300919Z

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

4 of 4 outbound references displayed

verified exact0
verified fuzzy4
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2709bc40-63e8-4888-b95b-6258553343b6 · outbound

This paper cites write newline.

Some identities which involve Stirling numbers write newline

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:42.123162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1a42bdc2-2ca4-4b7e-a2b5-fff1fec64e15 · outbound

This paper cites Malenfant, Finite, closed-form expressions for the partition function and for euler, bernoulli, and stirling numbers, 2011.

Some identities which involve Stirling numbers Malenfant, Finite, closed-form expressions for the partition function and for euler, bernoulli, and stirling numbers, 2011

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:41.892410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 87062f08-d0b3-413f-a14d-59a1cdc41aac · outbound

This paper cites Bonvini, S.

Some identities which involve Stirling numbers Bonvini, S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:41.681844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e1ac99d9-d843-4b90-aeb9-2746d04bb6e3 · outbound

This paper cites Sidi, Practical Extrapolation Methods: Theory and Applications.

Some identities which involve Stirling numbers Sidi, Practical Extrapolation Methods: Theory and Applications

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:44:41.511831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.