Paper Citation Record · LEDGER

Bispectrality of the sieved Jacobi polynomials

As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2501.12806.

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

pith.paper-citation-record.v1
2501.12806 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:52:00.210464Z

measured 25 of 25 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:09:34.550550Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T20:09:34.647902Z

Reference resolution

24 of 24 outbound references displayed

verified exact4
verified fuzzy11
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c7fa3e12-4924-450d-8237-f73a9ebbf4e4 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.512946Z

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 ffc617e8-0384-4725-9918-df38d2b269bf · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.502692Z

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 f9b0c7f7-8d1a-45ea-a769-0a4587d54476 · outbound

This paper cites Askey, Orthogonal polynomials old and new, and some combi natorial connec- tions , in: Enumer- ation and Design, D.

Bispectrality of the sieved Jacobi polynomials Askey, Orthogonal polynomials old and new, and some combi natorial connec- tions , in: Enumer- ation and Design, D

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.493351Z

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 65863377-e525-4219-91c3-9c4aa3c76956 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.483383Z

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 874faf61-996f-48ef-8b21-89bfb988b921 · outbound

This paper cites Belmehdi, Generalized Gegenbauer polynomials, J.

Bispectrality of the sieved Jacobi polynomials Belmehdi, Generalized Gegenbauer polynomials, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.473956Z

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 84593d60-29a2-4941-833a-d48192df9043 · outbound

This paper cites Bustoz, M.

Bispectrality of the sieved Jacobi polynomials Bustoz, M

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.463352Z

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 ec21ddc0-a799-4fb0-9083-0ca5c48b9b52 · outbound

This paper cites Ben Cheikh and M.Gaied, Characterization of the Dunkl-classical symmetric orthog onal polynomials, Appl.

Bispectrality of the sieved Jacobi polynomials Ben Cheikh and M.Gaied, Characterization of the Dunkl-classical symmetric orthog onal polynomials, Appl

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.452639Z

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 d7cd7dbf-4c1c-461e-b966-119ca1a24cce · outbound

This paper cites Cherednik, Double aﬃne Hecke algebras, Knizhnik-Zamolodchikov equat ions, and Macdonald’s operators , Int.

Bispectrality of the sieved Jacobi polynomials Cherednik, Double aﬃne Hecke algebras, Knizhnik-Zamolodchikov equat ions, and Macdonald’s operators , Int

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.441861Z

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 726374a5-a708-4bb6-9857-ed0db1d77038 · outbound

This paper cites Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, NY, 1978.

Bispectrality of the sieved Jacobi polynomials Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, NY, 1978

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.431118Z

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 39920c15-fe98-4da9-ac17-40024122c91e · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.420690Z

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 0001fa92-2c41-441f-9a9e-61dfda980f74 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.410369Z

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 3aff489e-4fb2-45ef-b58b-ba511999b8e9 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.399838Z

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 35bd97b3-a93a-4f33-94f3-9a1f99b011ba · outbound

This paper cites The CMV bispectral problem.

Bispectrality of the sieved Jacobi polynomials The CMV bispectral problem

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:52:00.298752Z

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 3ede7d06-7781-4edf-a205-1720cfe8d87d · outbound

This paper cites Encyclopedia of Mathematics and its Applications (No.

Bispectrality of the sieved Jacobi polynomials Encyclopedia of Mathematics and its Applications (No

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.388983Z

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 cfdc3e0a-9d08-40db-a3a4-5037f93b325f · outbound

This paper cites IX: Orthogonality on the unit circle, Paciﬁc J.Math.

Bispectrality of the sieved Jacobi polynomials IX: Orthogonality on the unit circle, Paciﬁc J.Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.377219Z

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 43d12375-7ff5-4e50-884a-b4e6079d3af3 · outbound

This paper cites Koekoek, P.

Bispectrality of the sieved Jacobi polynomials Koekoek, P

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.364698Z

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 6c24dd09-ec85-44ec-ab9c-0387adcf2a86 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.353145Z

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 d12ed87e-3159-4e48-ac43-3467ffae3dfc · outbound

This paper cites Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials.

Bispectrality of the sieved Jacobi polynomials Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:52:00.281628Z

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 710e8c2b-be43-4671-a825-7468f35e8812 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.342988Z

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 a60cfafc-8508-4bca-bd7b-65052630d6df · outbound

This paper cites Szeg˝ o, Orthogonal Polynomials , American Mathematical Society, 1939.

Bispectrality of the sieved Jacobi polynomials Szeg˝ o, Orthogonal Polynomials , American Mathematical Society, 1939

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.332731Z

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 192193ec-97e2-47ca-865d-7fe02d456a69 · outbound

This paper cites An algebraic treatment of the Askey biorthogonal polynomials on the unit circle.

Bispectrality of the sieved Jacobi polynomials An algebraic treatment of the Askey biorthogonal polynomials on the unit circle

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:52:00.264933Z

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 425ecbd1-0b3d-4c80-baac-28a64b4985ef · outbound

This paper cites The CMV bispectrality of the Jacobi polynomials on the unit circle.

Bispectrality of the sieved Jacobi polynomials The CMV bispectrality of the Jacobi polynomials on the unit circle

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:52:00.248220Z

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 1c0e29d4-d11b-4ee6-a391-39ba08556af4 · outbound

This paper cites an unresolved cited work.

Bispectrality of the sieved Jacobi polynomials Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:52:00.322195Z

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 3d87491b-10eb-4536-b0d5-abba2bd86b78 · outbound

This paper cites IV ADO, Centre de Recherches Math´ematiques and D´epartement de physique, Universit ´e de Montr ´eal, P.O.

Bispectrality of the sieved Jacobi polynomials IV ADO, Centre de Recherches Math´ematiques and D´epartement de physique, Universit ´e de Montr ´eal, P.O

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:52:00.311018Z

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

Observation 29dcca34-3fa6-4093-857e-2e19fe4cbcb2 · inbound

Eigenvalue equations for sieved polynomials or proving Askey right again cites this paper.

Eigenvalue equations for sieved polynomials or proving Askey right again Bispectrality of the sieved Jacobi polynomials

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:09:34.653783Z

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.