Paper Citation Record · LEDGER

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$

As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:1908.04806.

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

pith.paper-citation-record.v1
1908.04806 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:42:43.940703Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:17:17.447346Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T10:17:18.287356Z

Reference resolution

18 of 18 outbound references displayed

verified exact7
verified fuzzy3
unresolved8
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External citation measurements

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Outbound references

Observation f28fb8c1-0e61-481a-b36b-271b8a329e2f · outbound

This paper cites Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Centralizers of the superalgebra osp(1|2): the Brauer algebra as a quotient of the Bannai-Ito algebra

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:42:44.327386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e0f58407-0715-4428-886a-549048d13ed2 · outbound

This paper cites Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2).

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Temperley-Lieb, Brauer and Racah algebras and other centralizers of su(2)

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:42:44.305827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5f7511ea-aa3e-4ff7-a91f-e22552e8d2ee · outbound

This paper cites Bannai-Ito algebras and the universal R-matrix of osp(1|2).

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Bannai-Ito algebras and the universal R-matrix of osp(1|2)

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:42:44.284252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 95df848e-0124-4216-a03a-dec796cee56b · outbound

This paper cites The $\mathbb{Z}_2^n$ Dirac-Dunkl operator and a higher rank Bannai-Ito algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ The $\mathbb{Z}_2^n$ Dirac-Dunkl operator and a higher rank Bannai-Ito algebra

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.872292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c316223f-a893-4846-89d8-452e806dfd4b · outbound

This paper cites The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.877651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a1df0db-90a0-4e80-b7b7-6b1657f8f945 · outbound

This paper cites The $q$-Bannai-Ito algebra and multivariate $(-q)$-Racah and Bannai-Ito polynomials.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ The $q$-Bannai-Ito algebra and multivariate $(-q)$-Racah and Bannai-Ito polynomials

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.882691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 327c1206-7b1b-4e07-b032-f591940f4b7c · outbound

This paper cites Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:42:44.218660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1adfbbc8-6709-4b14-81bb-f00e7432ce91 · outbound

This paper cites Drinfeld, Quantum groups, in: Proc.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Drinfeld, Quantum groups, in: Proc

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:42:44.373696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 08ef92a8-aa5a-4f56-9e9b-e308a11bd8ae · outbound

This paper cites Superintegrability in two dimensions and the Racah-Wilson algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Superintegrability in two dimensions and the Racah-Wilson algebra

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:42:44.197179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d67d16a9-6666-49a4-90c8-3baac2bd6278 · outbound

This paper cites Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2).

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.903021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ded5f9a-5f5d-4cdf-83f4-4d4122517fc0 · outbound

This paper cites An embedding of the universal Askey-Wilson algebra into $U_q(\mathfrak{sl}_2)\otimes U_q(\mathfrak{sl}_2)\otimes U_q(\mathfrak{sl}_2)$.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ An embedding of the universal Askey-Wilson algebra into $U_q(\mathfrak{sl}_2)\otimes U_q(\mathfrak{sl}_2)\otimes U_q(\mathfrak{sl}_2)$

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.907817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb263c8e-0241-4805-8bf6-b500ef95d99b · outbound

This paper cites Koekoek, P.A.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Koekoek, P.A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:42:44.358162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5f8ad133-b4a8-440b-994a-167a01539dd5 · 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 and math.QA/0612730.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Koornwinder, The relationship between Zhedanov’s algebra AW (3) and the double aﬃne Hecke algebra in the rank one case, SIGMA 3(2007), 063 and math.QA/0612730

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-14T13:42:44.145335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f99ce24-f18e-4a47-ad3a-795cff843e60 · outbound

This paper cites Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.921948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81a2d298-8afc-4fca-bd37-ab01504da146 · outbound

This paper cites A higher rank extension of the Askey-Wilson Algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ A higher rank extension of the Askey-Wilson Algebra

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.926720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 293772db-61db-4969-956a-f4c7b7dc40b9 · outbound

This paper cites The Universal Askey-Wilson Algebra.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ The Universal Askey-Wilson Algebra

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T13:42:43.931358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34c02cc2-22fb-4d29-8bd6-facdec98333e · outbound

This paper cites Dunkl shift operators and Bannai-Ito polynomials.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Dunkl shift operators and Bannai-Ito polynomials

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:42:43.982583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dc3b7fe4-e24c-49dc-bb32-8d737f403a39 · outbound

This paper cites Zhedanov, Hidden symmetry of the Askey–Wilson polynomials, Theor.

Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$ Zhedanov, Hidden symmetry of the Askey–Wilson polynomials, Theor

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:42:44.343157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

Observation f7d5dc52-085e-4a43-a520-066baf50fc58 · inbound

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra cites this paper.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Revisiting the Askey--Wilson algebra with the universal R-matrix of $U_q(sl(2))$

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.291457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.