Paper Citation Record · LEDGER

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:1908.11654.

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

pith.paper-citation-record.v1
1908.11654 v2

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:17:17.564544Z

measured 34 of 34 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 2026-08-14T13:42:43.888127Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T13:42:44.213636Z

Reference resolution

33 of 33 outbound references displayed

verified exact16
verified fuzzy2
unresolved14
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External citation measurements

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Outbound references

Observation 7defa51f-114f-4146-90b1-03065d0196bc · outbound

This paper cites an unresolved cited work.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Unresolved cited work

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-14T10:17:18.432658Z

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

Observation fa7c74a6-763c-475b-99ef-971147bf17cd · outbound

This paper cites Deformed Dolan-Grady relations in quantum integrable models.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Deformed Dolan-Grady relations in quantum integrable models

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.428802Z

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Observation 0e3da4a0-aca2-4eb4-b693-4e6712f3ee77 · outbound

This paper cites An integrable structure related with tridiagonal algebras.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra An integrable structure related with tridiagonal algebras

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.433820Z

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Observation 03d0a1c1-c93b-4fd4-a069-3db00b825c60 · outbound

This paper cites Little and Big $q-$Jacobi Polynomials and the Askey-Wilson algebra.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Little and Big $q-$Jacobi Polynomials and the Askey-Wilson algebra

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.314087Z

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Observation 8f45047c-821d-42b8-9986-69ca60126fe5 · outbound

This paper cites an unresolved cited work.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:17:18.541201Z

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

This paper cites 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 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

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Observation ce10be75-6f87-4895-99d9-f41ce7ed9706 · outbound

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

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The $q$-Bannai-Ito algebra and multivariate $(-q)$-Racah and Bannai-Ito polynomials

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.272954Z

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Observation 6992532f-a2cd-44c6-bdc9-3793bfb3a3ea · outbound

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

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.457356Z

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Observation 667c9e23-de6f-4c65-b196-ce1408f3d281 · outbound

This paper cites A superintegrable model with reflections on $S^3$ and the rank two Bannai-Ito algebra.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra A superintegrable model with reflections on $S^3$ and the rank two Bannai-Ito algebra

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.240967Z

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Observation 01c9e669-fe59-455b-8cb9-456266c00650 · outbound

This paper cites A higher rank Racah algebra and the $\mathbb{Z}_2^{n}$ Laplace-Dunkl operator.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra A higher rank Racah algebra and the $\mathbb{Z}_2^{n}$ Laplace-Dunkl operator

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.222625Z

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Observation 356ba622-3cb3-4389-8e6a-b7be5aa9ee24 · outbound

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

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The $\mathbb{Z}_2^n$ Dirac-Dunkl operator and a higher rank Bannai-Ito algebra

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.206267Z

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Observation 39480370-b067-4d89-875a-cf0a314a421e · outbound

This paper cites an unresolved cited work.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:17:18.525209Z

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Observation 45cf158d-75c7-46f0-bceb-3c971842245a · outbound

This paper cites The $q$-Higgs and Askey-Wilson algebras.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The $q$-Higgs and Askey-Wilson algebras

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T10:17:18.181456Z

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Observation 5309ad63-976c-4090-9c8b-e1efe2618c98 · outbound

This paper cites The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.159866Z

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Observation 3051a7f0-8a7b-49b7-9ce3-f72635e429ab · outbound

This paper cites The quantum superalgebra $\mathfrak{osp}_{q}(1|2)$ and a $q$-generalization of the Bannai-Ito polynomials.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The quantum superalgebra $\mathfrak{osp}_{q}(1|2)$ and a $q$-generalization of the Bannai-Ito polynomials

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.134012Z

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

Observation f3174ef0-b3a1-4f31-ade4-ef9fb6634897 · outbound

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

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2)

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.492189Z

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Observation 3ce20500-b338-467d-9ee4-cea7395e0285 · outbound

This paper cites an unresolved cited work.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:17:18.504528Z

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Observation ba5f4252-2d96-4347-af06-69fa1a531fb8 · outbound

This paper cites Finite-dimensional irreducible modules of the universal Askey-Wilson algebra.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Finite-dimensional irreducible modules of the universal Askey-Wilson algebra

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.095910Z

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

Observation ee2bfbbe-a92a-4185-ab00-70818a22a3f0 · outbound

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

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra 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 19

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.505982Z

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Observation 71d19f97-da85-4c93-8e00-2f7491e18053 · outbound

This paper cites Bispectral commuting difference operators for multivariable Askey-Wilson polynomials.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Bispectral commuting difference operators for multivariable Askey-Wilson polynomials

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.062919Z

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Observation 6ac4173d-c091-4c71-8335-f3d806e1fc4c · outbound

This paper cites Double Affine Hecke Algebras of Rank 1 and the $Z_3$-Symmetric Askey-Wilson Relations.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Double Affine Hecke Algebras of Rank 1 and the $Z_3$-Symmetric Askey-Wilson Relations

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.040564Z

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Observation 7e8846ca-6ac6-4110-8c0b-536b3d4820c9 · outbound

This paper cites an unresolved cited work.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:17:18.487986Z

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Observation 9832e14b-d05f-42cc-b3f4-64b27628ce91 · outbound

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

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.522942Z

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Observation 67bf1def-b79a-4ac0-b42b-b6a7239f7c57 · outbound

This paper cites Dualities in the $q$-Askey scheme and degenerate DAHA.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Dualities in the $q$-Askey scheme and degenerate DAHA

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:18.009370Z

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Observation 69d3a2d2-aaee-463a-8731-b62fccf211f7 · outbound

This paper cites 397 (2005), 99–106.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra 397 (2005), 99–106

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:17:18.467901Z

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Observation 80058fae-eef9-42f8-bbd6-5ca948916828 · outbound

This paper cites 330 (2001), 149–203, arXiv:math.RA/0406555.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra 330 (2001), 149–203, arXiv:math.RA/0406555

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.536463Z

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Observation 79939426-e0ef-4a3c-bc46-eb9e970cfffe · outbound

This paper cites Publ., River Edge, NJ, 2001, 377–398, arXiv:math.QA/0307016.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Publ., River Edge, NJ, 2001, 377–398, arXiv:math.QA/0307016

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.540832Z

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Unavailable: canonical work link unavailable.

Observation 08c9d66e-5f2c-4bcf-a0e3-08da0e86b35a · outbound

This paper cites 387 (2004), 235–276, arXiv:math.QA/0306301.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra 387 (2004), 235–276, arXiv:math.QA/0306301

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.544560Z

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Unavailable: canonical work link unavailable.

Observation 2db700b4-1568-47f9-92b2-8746f0cb9f23 · outbound

This paper cites The Universal Askey-Wilson Algebra.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The Universal Askey-Wilson Algebra

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-14T10:17:17.548473Z

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Observation e3ca9269-e672-499e-9b16-d9ceb32d2571 · outbound

This paper cites The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:17:17.798668Z

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Observation 5fe85bd6-10c9-405c-bf9b-1b5796cc6067 · outbound

This paper cites Algebra Appl.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Algebra Appl

Reference 31

Resolution: verified exact; raw_fallback, observed 2026-08-14T10:17:17.776475Z

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Observation dc0ae4ff-ed64-4846-b93a-a1d8598de808 · outbound

This paper cites 308 (2008), 479–495, arXiv:math.QA/0511509.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra 308 (2008), 479–495, arXiv:math.QA/0511509

Reference 32

Resolution: verified exact; raw_fallback, observed 2026-08-14T10:17:17.709671Z

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

Observation 4485d2cd-8995-4cad-aba4-14c251935487 · outbound

This paper cites Hidden symmetry.

Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra Hidden symmetry

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:17:18.451980Z

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Pith citing papers

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

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

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

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