Paper Citation Record · LEDGER

The CMV bispectrality of the Jacobi polynomials on the unit circle

As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2412.11031.

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

pith.paper-citation-record.v1
2412.11031 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T15:32:20.568435Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:52:00.202932Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T16:52:00.241619Z

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy10
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6108a4af-3aaf-4928-bf2a-2da7c80d832b · outbound

This paper cites Askey, R.

The CMV bispectrality of the Jacobi polynomials on the unit circle Askey, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.974795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7aa15258-ef80-487c-8956-91e0eecb3916 · outbound

This paper cites an unresolved cited work.

The CMV bispectrality of the Jacobi polynomials on the unit circle Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:32:20.957476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b41dda1a-aa1a-467a-862c-7f81ac20690d · outbound

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

The CMV bispectrality of the Jacobi polynomials on the unit circle Cherednik, Double aﬃne Hecke algebras, Knizhnik-Zamolodchikov equat ions, and Macdonald’s operators , Int

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T15:32:20.451491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c884535-896c-46be-813f-3dfb29f12d37 · outbound

This paper cites De Bie, V.

The CMV bispectrality of the Jacobi polynomials on the unit circle De Bie, V

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.927789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57e69d14-1eb1-4ec5-8866-01b9e06951f4 · outbound

This paper cites Derevyagin, L.

The CMV bispectrality of the Jacobi polynomials on the unit circle Derevyagin, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.907356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f052dd31-3db7-441e-be94-08cd8d23a2a2 · outbound

This paper cites an unresolved cited work.

The CMV bispectrality of the Jacobi polynomials on the unit circle Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:32:20.887974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f7af6061-6e40-496a-90d6-cffa2f4b8792 · outbound

This paper cites Genest, M.

The CMV bispectrality of the Jacobi polynomials on the unit circle Genest, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.871902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9d41cae8-57f1-4894-8cd5-7cf11e3881c8 · outbound

This paper cites an unresolved cited work.

The CMV bispectrality of the Jacobi polynomials on the unit circle Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T15:32:20.479626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a2d0713-867c-45ea-a30f-523577123f85 · outbound

This paper cites an unresolved cited work.

The CMV bispectrality of the Jacobi polynomials on the unit circle Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:32:20.844500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 90f9b63c-515e-49e7-b00d-cfde8a3fee58 · outbound

This paper cites The CMV bispectral problem.

The CMV bispectrality of the Jacobi polynomials on the unit circle The CMV bispectral problem

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T15:32:20.496986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe681eec-b223-4262-b34d-05a07f7c6c2e · outbound

This paper cites an unresolved cited work.

The CMV bispectrality of the Jacobi polynomials on the unit circle Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:32:20.829539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8de961c7-691c-48b2-b316-8930776a9560 · outbound

This paper cites an unresolved cited work.

The CMV bispectrality of the Jacobi polynomials on the unit circle Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T15:32:20.803788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 25931f84-5c6b-4be8-aa41-fb74e06447a0 · outbound

This paper cites Koekoek, P.

The CMV bispectrality of the Jacobi polynomials on the unit circle Koekoek, P

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.778589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bb319082-cf2d-4270-8862-7f18eb14d34b · outbound

This paper cites Koornwinder, The Relationship between Zhedanov’s Algebra AW ( 3) and the Double Aﬃne Hecke Algebra in the Rank One Case , SIGMA 3 (2007), 063.

The CMV bispectrality of the Jacobi polynomials on the unit circle Koornwinder, The Relationship between Zhedanov’s Algebra AW ( 3) and the Double Aﬃne Hecke Algebra in the Rank One Case , SIGMA 3 (2007), 063

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.760811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a18d7e0c-a9de-4d2a-b9b9-c33ff8619e5b · outbound

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

The CMV bispectrality of the Jacobi polynomials on the unit circle Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T15:32:20.525329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72368a51-4d5f-42f9-a10a-22a4c733e6ab · outbound

This paper cites Simon, Orthogonal Polynomials On The Unit Circle , AMS, 2005.

The CMV bispectrality of the Jacobi polynomials on the unit circle Simon, Orthogonal Polynomials On The Unit Circle , AMS, 2005

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.740324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 01c4288f-a169-4b2b-b6e7-78b90e65bc5f · outbound

This paper cites Simon, OPUC on one foot , Bull.Am.Math.Soc., 42, (2005), 431–460.

The CMV bispectrality of the Jacobi polynomials on the unit circle Simon, OPUC on one foot , Bull.Am.Math.Soc., 42, (2005), 431–460

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.719311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 57e25deb-51cd-4b4e-a8f4-6baa538d90fc · outbound

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

The CMV bispectrality of the Jacobi polynomials on the unit circle Szeg˝ o, Orthogonal Polynomials , American Mathematical Society, 1939

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T15:32:20.548670Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d906824-a999-4db9-ade6-2119ef5576ab · outbound

This paper cites Vinet, A.

The CMV bispectrality of the Jacobi polynomials on the unit circle Vinet, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.689725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 492e87e7-bdde-48bd-a051-d9eb36247769 · outbound

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

The CMV bispectrality of the Jacobi polynomials on the unit circle An algebraic treatment of the Askey biorthogonal polynomials on the unit circle

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T15:32:20.561936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2757dc1-d477-402a-8afd-72216f262f83 · outbound

This paper cites Hidden symmetry.

The CMV bispectrality of the Jacobi polynomials on the unit circle Hidden symmetry

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T15:32:20.671328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 425ecbd1-0b3d-4c80-baac-28a64b4985ef · inbound

Bispectrality of the sieved Jacobi polynomials cites this paper.

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 2026-08-19T06:32:44.657259+00:00.