Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:1908.04277.

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

pith.paper-citation-record.v1
1908.04277 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:55:20.744163Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:17:17.483159Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T10:17:18.152964Z

Reference resolution

39 of 39 outbound references displayed

verified exact2
verified fuzzy13
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 42f888e5-6479-41de-b9c8-6503a708dba8 · outbound

This paper cites an unresolved cited work.

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

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.419334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 01f8f96c-bae2-4108-93b6-4dbc40e43575 · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras Deformed Dolan-Grady relations in quantum integrable models

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.562248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e30fdcf-e503-474e-8d77-e122b17504fa · outbound

This paper cites an unresolved cited work.

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

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.403482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 88e56d8b-9c09-465f-bb39-3d5a3ac22049 · outbound

This paper cites Vinet and A.

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

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.387010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df1a439c-1f68-447a-b396-0981d8ef5ec4 · outbound

This paper cites Baseilhac.

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

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.368905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 50ccdf05-dd90-4abd-b61a-de640f62ecc5 · outbound

This paper cites Baseilhac and K.

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

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.352633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5862acc3-3362-4247-b1d2-400a1192e148 · outbound

This paper cites Terwilliger and R.

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

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.336943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d687b2d2-a560-4134-ac5a-890f2a0b9a6f · outbound

This paper cites The Universal Askey-Wilson Algebra.

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

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.591803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eee44c9f-6544-4ef7-9448-cd4c095c6f24 · outbound

This paper cites Terwilliger.

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

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.319520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3d313cae-6919-4617-894e-53033d3db0be · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.601114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e02b68e9-08ce-4aab-ab99-1975e17190ce · outbound

This paper cites Multiplicative structure of Kauffman bracket skein module quantizations.

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras Multiplicative structure of Kauffman bracket skein module quantizations

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.606764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9bd5c2e-2541-46e4-9bc7-1cd5ebc992c4 · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.611835Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5f92635-9db9-409a-82cc-f65c8697cb40 · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.616795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 931a7bc2-c79f-43cc-a538-897ef873b588 · outbound

This paper cites Mazzocco.

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

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.302384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 306da556-bfa0-454c-afd5-af592c4794cf · outbound

This paper cites an unresolved cited work.

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

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.285528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a502c2a9-72ff-4dec-9095-b9ac9252ecc7 · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras 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 16

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.631408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd4dec24-68bc-49fa-b823-79b4885d2331 · outbound

This paper cites an unresolved cited work.

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

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.268325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 71cdca8b-1c64-41f8-8f35-4802d1b5da93 · outbound

This paper cites an unresolved cited work.

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

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.252233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 85579e2d-635f-45f5-83f6-fc008233a5fd · outbound

This paper cites an unresolved cited work.

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

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.235558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ea8a53fa-0caf-44c3-8dd2-b3c7e7a40916 · outbound

This paper cites Moshinsky and C.

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

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.218374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 98a589b4-e554-4901-a1d6-73e563250ef6 · outbound

This paper cites an unresolved cited work.

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

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.201466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6a72e6fb-ea61-4dc9-a953-50fc5c2f0393 · outbound

This paper cites an unresolved cited work.

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

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.185810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e33024ab-de6f-44b5-a721-74cbfd4d415f · outbound

This paper cites an unresolved cited work.

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

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.170555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d059329a-0619-41f9-9bb5-ebaa946a70b2 · outbound

This paper cites Gaboriaud, L.

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

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.155141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation dae8afe3-1017-470a-adc2-2b5fe00b14f0 · outbound

This paper cites The generalized Racah algebra as a commutant.

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras The generalized Racah algebra as a commutant

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:55:20.845836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 61afbf4b-7ab8-43f4-b1d7-d62c77311019 · outbound

This paper cites Noumi, T.

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

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.139136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a0c47971-a304-452f-b583-778ba082790e · outbound

This paper cites Klimyk and K.

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

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.123424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e4ce2e1c-c98e-4522-8ffd-687518ab7e0e · outbound

This paper cites an unresolved cited work.

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

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.107624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc56fc92-6cb0-48a7-b25d-ab11a3f3b1a6 · outbound

This paper cites an unresolved cited work.

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

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.091847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8d5ed28e-1911-4ac4-8a98-2a3cbd0fa926 · outbound

This paper cites Classification of irreducible representations of the q-deformed algebra U'_q(so_n).

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras Classification of irreducible representations of the q-deformed algebra U'_q(so_n)

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-14T13:55:20.822773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9c64b6bd-3d14-4b23-9904-1917bd121329 · outbound

This paper cites an unresolved cited work.

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

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.076234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e87eea2e-e465-482d-917f-3b9de524c498 · outbound

This paper cites an unresolved cited work.

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

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.059764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bd3a5c07-328d-442a-bc50-d55f13431617 · outbound

This paper cites Feigin and T.

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

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.042120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 208f8815-b213-44ab-a6dd-ba09442d8cb2 · outbound

This paper cites De Bie, V.

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

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:21.026020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 55a57a43-25ee-4998-946e-31b0d066d472 · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras A higher rank extension of the Askey-Wilson Algebra

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.723153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ba52e68-049d-4871-96fd-1ca694d8c45c · outbound

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

The dual pair $\big(U_q(\mathfrak{su}(1,1)),\mathfrak{o}_{q^{1/2}}(2n)\big)$, $q$-oscillators and Askey-Wilson algebras The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T13:55:20.729160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05ad4e60-977c-4978-8bc7-fd034b2010ce · outbound

This paper cites an unresolved cited work.

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

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:21.009719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1cf7452a-26c9-427c-9a0d-77e96305e9a4 · outbound

This paper cites an unresolved cited work.

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

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:55:20.993595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6460fa8d-fac9-453b-b78b-edb158f9cf8d · outbound

This paper cites Gaboriaud, L.

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

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:55:20.977339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.