Paper Citation Record · LEDGER

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers

As of 11 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2501.13693.

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

pith.paper-citation-record.v1
2501.13693 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:50:12.083816Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

9 of 9 outbound references displayed

verified exact2
verified fuzzy4
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a04e91cc-dc40-418b-9e8b-076a11112dfd · outbound

This paper cites A note on quadratic cyclotomic extensions.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers A note on quadratic cyclotomic extensions

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:50:12.154033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c85b503e-0cf6-4ecc-bac6-5cea8e20a9d3 · outbound

This paper cites When is a 2-Power Cyclotomic Extension cyclic?.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers When is a 2-Power Cyclotomic Extension cyclic?

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:50:12.131057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 15d75a55-a55b-4516-95b0-472581c64e17 · outbound

This paper cites an unresolved cited work.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:50:12.261747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 64f16e39-9dbb-4e95-bc97-70d3950c1331 · outbound

This paper cites Björck and V.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Björck and V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:50:12.247599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9f4bee5b-7c9a-441c-82dd-4de8d7dd463c · outbound

This paper cites an unresolved cited work.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:50:12.232874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 42c3677e-266a-46ac-82ba-59e187b6d374 · outbound

This paper cites Benjamin and D.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Benjamin and D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:50:12.217901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d0fbb003-ca92-4f2d-a7c3-d4404e0a9341 · outbound

This paper cites Journal of Physics A: Mathematical and General , 37(3):657, 2004.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Journal of Physics A: Mathematical and General , 37(3):657, 2004

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:50:12.202830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b6336626-6bcc-4b6d-8d0d-3ca291137008 · outbound

This paper cites Integral Transforms and Special Functions , 15(1):13-29, 2004.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Integral Transforms and Special Functions , 15(1):13-29, 2004

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:50:12.186270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 61542ffe-e572-43b0-bbc8-ecdbad25956b · outbound

This paper cites an unresolved cited work.

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:50:12.170045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.