Paper Citation Record · LEDGER

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths

As of 12 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2505.16718.

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

pith.paper-citation-record.v1
2505.16718 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:04:16.721357Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

20 of 20 outbound references displayed

verified exact1
verified fuzzy8
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f63cb85a-541a-438a-85fe-2bebccc908c8 · outbound

This paper cites Barry, Riordan Arrays: a Primer , Logic Press, 2017.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Barry, Riordan Arrays: a Primer , Logic Press, 2017

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:15.867112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a29da7d5-1bf2-4945-843c-514140ea0fee · outbound

This paper cites On the Group of Almost-Riordan Arrays.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths On the Group of Almost-Riordan Arrays

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:15.986411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a915672-353c-48b4-b942-a07354a240f6 · outbound

This paper cites Generalized Path Pairs and Fuss-Catalan Triangles.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Generalized Path Pairs and Fuss-Catalan Triangles

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:04:16.832724Z

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 bcee96fe-141a-4627-b87d-143480d99946 · outbound

This paper cites Ehrenborg, G.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Ehrenborg, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.950470Z

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 5551b51a-4484-4e52-a587-79cb0b8a70a1 · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:04:17.845547Z

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 ed5bca1e-ba3a-4eba-8863-9ad21dea16b1 · outbound

This paper cites Sprugnoli, Sequence characterization of Riordan arrays, Discrete Maths., 309 (2009), 3962—3974.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Sprugnoli, Sequence characterization of Riordan arrays, Discrete Maths., 309 (2009), 3962—3974

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.771254Z

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 4d939aa0-30e9-45e7-afea-d9e35e13a21b · outbound

This paper cites , 465 (2015), 15–42.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths , 465 (2015), 15–42

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:16.163528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e8a3fac-831f-412c-9966-6418ad15148c · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:04:17.703971Z

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 0d0268ae-e54d-40c4-a315-14afa693d732 · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:16.190042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 089f0c5b-588e-42a1-9717-4782241f2d76 · outbound

This paper cites Merlini, D.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Merlini, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.565752Z

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 d6811b62-1f56-43a7-9fb3-198b7347b830 · outbound

This paper cites Merlini, R.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Merlini, R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.491374Z

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 7baa5857-466c-4004-9c01-1ef9efb841ff · outbound

This paper cites Merlini, R.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Merlini, R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.413498Z

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 3369bb33-d40b-4879-9b40-ba9b5c87f7bc · outbound

This paper cites Cerone, A Unified Generalization of the Catalan, Fuss, and Fuss-Catalan Numbers, Math.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Cerone, A Unified Generalization of the Catalan, Fuss, and Fuss-Catalan Numbers, Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.347135Z

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 d76d0165-0b7e-46f3-9c2d-f47549677932 · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:04:17.267241Z

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 c9c6cf57-f378-4fca-8aab-5f1a095bc73c · outbound

This paper cites Shapiro, R.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Shapiro, R

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:16.502792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bf6d6e6-b5dc-4aa9-bed6-f5467bfc896e · outbound

This paper cites Shapiro, A survey of the Riordan group, available electronically at Center for Com- binatorics, Nankai University, 2018.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Shapiro, A survey of the Riordan group, available electronically at Center for Com- binatorics, Nankai University, 2018

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:17.183825Z

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 f22a3483-728a-4483-8216-2ae9d8edc518 · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T15:04:16.599015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58509ae7-5d5b-45a0-8744-def34d29dd05 · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:04:17.060532Z

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 dfaf7ba7-b250-4714-b886-264b3821181a · outbound

This paper cites an unresolved cited work.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:04:16.997733Z

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 53f069b9-3ce5-47f7-8be0-312bb4d96b74 · outbound

This paper cites Yang, Y-N.

$d$-orthogonal polynomials, Fuss-Catalan matrices and lattice paths Yang, Y-N

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:04:16.918572Z

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.