{"as_of":"2026-08-22T14:43:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4d0058ca289a8679f45f030f3423bbf210041530711ebd78f14996474273e4e6","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T13:55:20.744163Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-22T06:32:14.747728+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T10:17:17.483159Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T10:17:18.152964Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"cited_work":{"arxiv_id":"1908.04277","doi":null,"metadata_source":"pith","pith_arxiv_id":"1908.04277","snapshot_observed_at":"2026-08-14T10:17:18.152964Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","venue":"math-ph","work_id":"52434701-7cdf-4aba-9234-40601958155d","year":2019},"citing_paper":{"arxiv_id":"1908.11654","last_updated":"2019-12-19T11:11:05Z","snapshot_observed_at":"2026-08-19T07:01:32.507403Z","submitted_at":"2019-08-30T11:22:07Z","title":"Higher Rank Relations for the Askey-Wilson and $q$-Bannai-Ito Algebra","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T10:17:17.483159Z"},"links":{"cited_paper":"/paper/1908.04277","citing_paper":"/paper/1908.11654"},"observation_digest":"sha256:6c9ead265c130b819341d43dff52b08dfc3056b128943cf7031b16842a69ca85","observation_id":"5309ad63-976c-4090-9c8b-e1efe2618c98","resolution":{"observed_at":"2026-08-14T10:17:18.159866Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1908.04277/citation-record","integrity":"/paper/1908.04277/integrity","json":"/paper/1908.04277/citation-record.json","paper":"/paper/1908.04277"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.414142Z","title":null,"venue":null,"work_id":"84c388cd-d6e9-46d8-9d0c-5c01421abe36","year":1991},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.556909Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:f8e64b7705e51ccc8cb85ca0c782e17c4637e952530f9960867f6ace370f71e7","observation_id":"42f888e5-6479-41de-b9c8-6503a708dba8","resolution":{"observed_at":"2026-08-14T13:55:21.419334Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0404149","last_updated":"2004-12-15T08:35:22Z","snapshot_observed_at":"2026-07-07T04:50:19.819782Z","submitted_at":"2004-04-20T15:56:20Z","title":"Deformed Dolan-Grady relations in quantum integrable models","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0404149","snapshot_observed_at":"2026-08-14T13:55:20.562248Z","title":"Baseilhac","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.562248Z"},"links":{"cited_paper":"/paper/hep-th/0404149","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:393ddec9a09b646a99f1ba4b6d9072411be9d095b774f95588329ab476bddb72","observation_id":"01f8f96c-bae2-4108-93b6-4dbc40e43575","resolution":{"observed_at":"2026-08-14T13:55:20.562248Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.398541Z","title":null,"venue":null,"work_id":"3fe68f6c-44a4-4084-a703-1db14e0d9719","year":2008},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.567517Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:1dcd72c3f6a93153755465837b4aed2bc9bb442cf2331c52ca7c8902329847bd","observation_id":"4e30fdcf-e503-474e-8d77-e122b17504fa","resolution":{"observed_at":"2026-08-14T13:55:21.403482Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.380886Z","title":"Vinet and A","venue":null,"work_id":"88307991-54c6-4a35-8a58-3cd1d7f808b5","year":2008},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.572500Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:a35f075750bc5c5e632124b90be8f675d9238f1a585a5ec65d571118bd03f2be","observation_id":"88e56d8b-9c09-465f-bb39-3d5a3ac22049","resolution":{"observed_at":"2026-08-14T13:55:21.387010Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.363712Z","title":"Baseilhac","venue":null,"work_id":"2bb4d384-97a6-418f-a184-bcdb7334d9f6","year":2005},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.577350Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:90f9d3d77d580f0762935514f13f57e533f92b52aedd7219a0f0195241e946e3","observation_id":"df1a439c-1f68-447a-b396-0981d8ef5ec4","resolution":{"observed_at":"2026-08-14T13:55:21.368905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.347405Z","title":"Baseilhac and K","venue":null,"work_id":"cde35d22-f722-4989-bf01-c8eb9f9a531c","year":2005},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.581916Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:5fb0d15c8c797cac1395f6f4cd6ee2433ea602b8e79b3c9bf175323850d82895","observation_id":"50ccdf05-dd90-4abd-b61a-de640f62ecc5","resolution":{"observed_at":"2026-08-14T13:55:21.352633Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.331902Z","title":"Terwilliger and R","venue":null,"work_id":"9be02db8-164c-4947-b9f7-61ef1c154ab9","year":2005},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.587164Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:e2ff1c11b68e8fea819d0303dc3c60c02cd23eb0255b81396d5a98f7ccb05f8b","observation_id":"5862acc3-3362-4247-b1d2-400a1192e148","resolution":{"observed_at":"2026-08-14T13:55:21.336943Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1104.2813","last_updated":"2011-07-15T04:48:52Z","snapshot_observed_at":"2026-08-20T00:38:03.544258Z","submitted_at":"2011-04-14T16:03:31Z","title":"The Universal Askey-Wilson Algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1104.2813","snapshot_observed_at":"2026-08-14T13:55:20.591803Z","title":"Terwilliger","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.591803Z"},"links":{"cited_paper":"/paper/1104.2813","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:1fa64c3aaf815bad93b95791b9026c7d9bdde003599d7bae3ca433092b8ee67a","observation_id":"d687b2d2-a560-4134-ac5a-890f2a0b9a6f","resolution":{"observed_at":"2026-08-14T13:55:20.591803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.313867Z","title":"Terwilliger","venue":null,"work_id":"7b72ef2c-7d9a-452a-a699-3eacd2d70537","year":2013},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.596606Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:0f692772cb428411250f6b5b3111c6bf3ee7a077ef22d30a9965f1f76a0939ec","observation_id":"eee44c9f-6544-4ef7-9448-cd4c095c6f24","resolution":{"observed_at":"2026-08-14T13:55:21.319520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1801.06083","last_updated":"2018-05-07T13:41:18Z","snapshot_observed_at":"2026-08-20T00:37:59.724568Z","submitted_at":"2018-01-18T15:06:06Z","title":"The $q$-Onsager Algebra and the Universal Askey-Wilson Algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1801.06083","snapshot_observed_at":"2026-08-14T13:55:20.601114Z","title":"Terwilliger","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.601114Z"},"links":{"cited_paper":"/paper/1801.06083","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:d52c8e9fc059932b1b5f9c45884be44fb91e6566c2218dad2a4b1d6e16c614f9","observation_id":"3d313cae-6919-4617-894e-53033d3db0be","resolution":{"observed_at":"2026-08-14T13:55:20.601114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/9902117","last_updated":"1999-02-20T00:16:28Z","snapshot_observed_at":"2026-07-07T06:10:11.056620Z","submitted_at":"1999-02-20T00:16:28Z","title":"Multiplicative structure of Kauffman bracket skein module quantizations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/9902117","snapshot_observed_at":"2026-08-14T13:55:20.606764Z","title":"Bullock and J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.606764Z"},"links":{"cited_paper":"/paper/math/9902117","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:8d3b85151a2da65bb67de613ac26ef02edecbba316a889b1e4be7964f1b4752c","observation_id":"e02b68e9-08ce-4aab-ab99-1975e17190ce","resolution":{"observed_at":"2026-08-14T13:55:20.606764Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"math/0612730","last_updated":"2007-11-07T15:49:19Z","snapshot_observed_at":"2026-08-15T10:52:34.913667Z","submitted_at":"2006-12-22T22:23:34Z","title":"The Relationship between Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"math/0612730","snapshot_observed_at":"2026-08-14T13:55:20.611835Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.611835Z"},"links":{"cited_paper":"/paper/math/0612730","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:dc674efc89e807e9468484f3ac7d6e386ed4b77e822c751735e60a765a298987","observation_id":"d9bd5c2e-2541-46e4-9bc7-1cd5ebc992c4","resolution":{"observed_at":"2026-08-14T13:55:20.611835Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0711.2320","last_updated":"2008-06-10T15:19:44Z","snapshot_observed_at":"2026-08-16T21:09:18.103744Z","submitted_at":"2007-11-14T23:58:24Z","title":"Zhedanov's Algebra AW(3) and the Double Affine Hecke Algebra in the Rank One Case. II. The Spherical Subalgebra","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0711.2320","snapshot_observed_at":"2026-08-14T13:55:20.616795Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.616795Z"},"links":{"cited_paper":"/paper/0711.2320","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:424d11b3b227f2e51bbb2ffc64800bda83aa5832a068a7411c307e632f2204e3","observation_id":"d5f92635-9db9-409a-82cc-f65c8697cb40","resolution":{"observed_at":"2026-08-14T13:55:20.616795Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.297269Z","title":"Mazzocco","venue":null,"work_id":"ba81e1c9-0dc6-4c83-a6ac-78c061c36083","year":2016},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.621883Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:154c8d7c14b87156f6c2fd3349789dde843201671ceab720a5570544e0159140","observation_id":"931a7bc2-c79f-43cc-a538-897ef873b588","resolution":{"observed_at":"2026-08-14T13:55:21.302384Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.279940Z","title":null,"venue":null,"work_id":"aac7d2ce-7ccb-4f61-9782-46017e598fdd","year":1993},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.626564Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:9cf718a74ef086c7c9930cb98f732f3f28bdd83d08b52bcf547649b33d7bc850","observation_id":"306da556-bfa0-454c-afd5-af592c4794cf","resolution":{"observed_at":"2026-08-14T13:55:21.285528Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1611.02130","last_updated":"2016-12-01T01:43:10Z","snapshot_observed_at":"2026-08-14T21:32:57.178801Z","submitted_at":"2016-10-29T01:15:52Z","title":"An embedding of the universal Askey-Wilson algebra into $U_q(\\mathfrak{sl}_2)\\otimes U_q(\\mathfrak{sl}_2)\\otimes U_q(\\mathfrak{sl}_2)$","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1611.02130","snapshot_observed_at":"2026-08-14T13:55:20.631408Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.631408Z"},"links":{"cited_paper":"/paper/1611.02130","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:67f9d4c208f43f76a61532be69da60c15c0eab3ffe62b0d39a4d726ee38503bd","observation_id":"a502c2a9-72ff-4dec-9095-b9ac9252ecc7","resolution":{"observed_at":"2026-08-14T13:55:20.631408Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.263235Z","title":null,"venue":null,"work_id":"c5b1ae9c-4895-4dd2-8d03-2f0c8f12759e","year":1989},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.636518Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:4903fe423c2e80ada7ddf6f78e78f06dfb4ecaa97d645e5b19904ff883835372","observation_id":"bd4dec24-68bc-49fa-b823-79b4885d2331","resolution":{"observed_at":"2026-08-14T13:55:21.268325Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.247351Z","title":null,"venue":null,"work_id":"5c2edf13-ea96-4cf6-9804-835c2cdb09a3","year":1989},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.641346Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:e4626fbe6f36c91fedf597aaaba5e550d0dba3c7e88594d91f707bed248e3157","observation_id":"71cdca8b-1c64-41f8-8f35-4802d1b5da93","resolution":{"observed_at":"2026-08-14T13:55:21.252233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.230081Z","title":null,"venue":null,"work_id":"42d0af67-be95-4571-a8bf-be2e211828e4","year":1987},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.646301Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:76d387cceea68ca8a4b4e450c58363e8fd064416cad079e34133616eefbda1a0","observation_id":"85579e2d-635f-45f5-83f6-fc008233a5fd","resolution":{"observed_at":"2026-08-14T13:55:21.235558Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.213174Z","title":"Moshinsky and C","venue":null,"work_id":"d79f6177-5ef6-4d51-8c95-607ef4a384a1","year":1971},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.651739Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:d0eba4be82ff7e05c1e39e84eadcae90963bbded4159959367576cd9f8fbd823","observation_id":"ea8a53fa-0caf-44c3-8dd2-b3c7e7a40916","resolution":{"observed_at":"2026-08-14T13:55:21.218374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.196594Z","title":null,"venue":null,"work_id":"27af3296-ecb5-42bf-b9ba-84733da1e8d2","year":1977},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.656330Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:6654aeb829264295e8eec5050acd716911440676be73a43bcf867347b1bb8564","observation_id":"98a589b4-e554-4901-a1d6-73e563250ef6","resolution":{"observed_at":"2026-08-14T13:55:21.201466Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.181045Z","title":null,"venue":null,"work_id":"fbf7c3a6-e2fe-4d9a-9772-f8e70d4dda17","year":2011},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.661219Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:7f787a3f5aeca047a180b7ad4def1c1d3f39fe2ef203795e9849cc7765318f79","observation_id":"6a72e6fb-ea61-4dc9-a953-50fc5c2f0393","resolution":{"observed_at":"2026-08-14T13:55:21.185810Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.165613Z","title":null,"venue":null,"work_id":"f31b1f5b-1c50-4c41-b368-b69ef29a6cb0","year":2012},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.666343Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:9f94d4e18a51197263493cd11def6041c65d88732a6667c2ac5ffb3eace3e78b","observation_id":"e33024ab-de6f-44b5-a721-74cbfd4d415f","resolution":{"observed_at":"2026-08-14T13:55:21.170555Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.149867Z","title":"Gaboriaud, L","venue":null,"work_id":"59d4996e-d160-4d1b-9928-af37ac0fa3dd","year":2018},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.671089Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:257883b95128c24207167e9976885f991c2104e950f4f68e19ff4db83f8a7c41","observation_id":"d059329a-0619-41f9-9bb5-ebaa946a70b2","resolution":{"observed_at":"2026-08-14T13:55:21.155141Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1808.09518","last_updated":"2018-08-28T20:03:52Z","snapshot_observed_at":"2026-08-20T03:22:28.822179Z","submitted_at":"2018-08-28T20:03:52Z","title":"The generalized Racah algebra as a commutant","version":1},"cited_work":{"arxiv_id":"1808.09518","doi":null,"metadata_source":"pith","pith_arxiv_id":"1808.09518","snapshot_observed_at":"2026-08-14T13:55:20.840718Z","title":"The generalized Racah algebra as a commutant","venue":"math-ph","work_id":"a6a0afe8-89c2-4355-b234-d820c4ce3397","year":2018},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.676224Z"},"links":{"cited_paper":"/paper/1808.09518","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:630bca33ea959a884a788e6a96161a5d5c326409beb1c46a1f0586b831a9e7e6","observation_id":"dae8afe3-1017-470a-adc2-2b5fe00b14f0","resolution":{"observed_at":"2026-08-14T13:55:20.845836Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.134098Z","title":"Noumi, T","venue":null,"work_id":"1c97f2b4-4168-4ff9-b62e-8a8cdb894793","year":1996},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.680974Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:bf9f9c889585973ff8400e29e3dbeba1fa7d51dbf7ae1af91c785637bffd663d","observation_id":"61afbf4b-7ab8-43f4-b1d7-d62c77311019","resolution":{"observed_at":"2026-08-14T13:55:21.139136Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.118555Z","title":"Klimyk and K","venue":null,"work_id":"d6ca70cf-38ea-4d8e-ad02-7c99bfd851ee","year":1997},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.685644Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:66cfe5db9378bf0525ef607a31e1c80f6718dc5a5d1ecebde6878366ee265d6d","observation_id":"a0c47971-a304-452f-b583-778ba082790e","resolution":{"observed_at":"2026-08-14T13:55:21.123424Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.102646Z","title":null,"venue":null,"work_id":"9345b4dc-2366-43e8-9203-331535f9b327","year":2000},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.690506Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:37f5a75d24ea5e48092604f496c4bd38e2d98e8db7d97bb9bc9e86116a46cc17","observation_id":"e4ce2e1c-c98e-4522-8ffd-687518ab7e0e","resolution":{"observed_at":"2026-08-14T13:55:21.107624Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.086990Z","title":null,"venue":null,"work_id":"8a43b427-98dd-4585-9451-18b0312c6cb4","year":2001},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.695164Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:2a5761f4e8dc2e9f467166f506cad1af2bf511d9e6386e15d8a67c5d26566f39","observation_id":"bc56fc92-6cb0-48a7-b25d-ab11a3f3b1a6","resolution":{"observed_at":"2026-08-14T13:55:21.091847Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"math/0110038","last_updated":"2001-10-03T10:57:00Z","snapshot_observed_at":"2026-08-03T05:27:05.973681Z","submitted_at":"2001-10-03T10:57:00Z","title":"Classification of irreducible representations of the q-deformed algebra U'_q(so_n)","version":1},"cited_work":{"arxiv_id":"math/0110038","doi":null,"metadata_source":"pith","pith_arxiv_id":"math/0110038","snapshot_observed_at":"2026-08-14T13:55:20.815274Z","title":"Classification of irreducible representations of the q-deformed algebra U'_q(so_n)","venue":"math.QA","work_id":"4720438d-042d-4c39-8b38-9640104092bd","year":2001},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.699577Z"},"links":{"cited_paper":"/paper/math/0110038","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:05ff497a65bd56c9cdd2e9a7a0448e0a5a919a0f9a210014886683cf21281082","observation_id":"8d5ed28e-1911-4ac4-8a98-2a3cbd0fa926","resolution":{"observed_at":"2026-08-14T13:55:20.822773Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.071233Z","title":null,"venue":null,"work_id":"f8acb57e-5bff-4434-9bb5-c84139347283","year":2005},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.704184Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:2a95a4dba181741c203d30b18dbff358b93f5fd8daa0cc44286f2a4472682070","observation_id":"9c64b6bd-3d14-4b23-9904-1917bd121329","resolution":{"observed_at":"2026-08-14T13:55:21.076234Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.054310Z","title":null,"venue":null,"work_id":"786761fe-4e6e-4141-b3bd-24c019bf9a13","year":1996},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.708933Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:8a803b4d5a71c1eccf0e6e48d7b5dc7bced481e294a4df65a96062130923f508","observation_id":"e87eea2e-e465-482d-917f-3b9de524c498","resolution":{"observed_at":"2026-08-14T13:55:21.059764Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.036976Z","title":"Feigin and T","venue":null,"work_id":"a064612b-0d27-47c3-8e4c-d039197ff130","year":2015},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.713504Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:8292d1ea16bbc6e0b3f0410207dfd2d1b0b3e43439b28c6ef2009807e63bbeab","observation_id":"bd3a5c07-328d-442a-bc50-d55f13431617","resolution":{"observed_at":"2026-08-14T13:55:21.042120Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.020890Z","title":"De Bie, V","venue":null,"work_id":"1a95260b-d20a-43e5-aebe-25fdaeb56347","year":2017},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.718328Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:d0a70b2a635cef876f0153dddc24b9d2656802f9605de60a496d0fbdb8918bab","observation_id":"208f8815-b213-44ab-a6dd-ba09442d8cb2","resolution":{"observed_at":"2026-08-14T13:55:21.026020Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1705.01860","last_updated":"2017-10-31T20:45:09Z","snapshot_observed_at":"2026-08-20T00:40:36.637835Z","submitted_at":"2017-05-03T00:44:28Z","title":"A higher rank extension of the Askey-Wilson Algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.01860","snapshot_observed_at":"2026-08-14T13:55:20.723153Z","title":"Post and A","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.723153Z"},"links":{"cited_paper":"/paper/1705.01860","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:a40e8b23f2be387c88a1a93ac31e8daca9ca4371cd4c5c9ca97eb30d4ce80795","observation_id":"55a57a43-25ee-4998-946e-31b0d066d472","resolution":{"observed_at":"2026-08-14T13:55:20.723153Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1805.06642","last_updated":"2019-05-06T14:26:05Z","snapshot_observed_at":"2026-08-20T00:40:32.715508Z","submitted_at":"2018-05-17T08:10:30Z","title":"The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1805.06642","snapshot_observed_at":"2026-08-14T13:55:20.729160Z","title":"De Bie, H","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.729160Z"},"links":{"cited_paper":"/paper/1805.06642","citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:0e97a25fd3ddf8e5e69f89faa24d9bdbd67718e4785ee43486412b83c08aa501","observation_id":"9ba52e68-049d-4871-96fd-1ca694d8c45c","resolution":{"observed_at":"2026-08-14T13:55:20.729160Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:21.004429Z","title":null,"venue":null,"work_id":"6f1fc280-0432-40cc-9807-5d931f95d1a2","year":2007},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.734324Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:e9a3588ae7d2ab6db06e14844a6b66d50e2f769f8acd2f3d11f4fb458108dc3c","observation_id":"05ad4e60-977c-4978-8bc7-fd034b2010ce","resolution":{"observed_at":"2026-08-14T13:55:21.009719Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:20.988719Z","title":null,"venue":null,"work_id":"ec083c3a-b9b1-4244-88e6-715e8cc9da2f","year":2017},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.739424Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:0b480bd8461bf652be5e6fcfdee56e566669313a16455a97e62ab02771daa442","observation_id":"1cf7452a-26c9-427c-9a0d-77e96305e9a4","resolution":{"observed_at":"2026-08-14T13:55:20.993595Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T13:55:20.972249Z","title":"Gaboriaud, L","venue":null,"work_id":"2b6ece5e-9a25-4aed-8467-ebbab4ea1ff8","year":2018},"citing_paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T13:55:20.744163Z"},"links":{"citing_paper":"/paper/1908.04277"},"observation_digest":"sha256:fc5f0acf5296ca906afbd935d9c5865dc39f73875ac45d685a02984b554bfe53","observation_id":"6460fa8d-fac9-453b-b78b-edb158f9cf8d","resolution":{"observed_at":"2026-08-14T13:55:20.977339Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.04277","last_updated":"2019-08-12T17:39:23Z","latest_version":1,"primary_category":"math-ph","snapshot_observed_at":"2026-08-20T00:38:22.390086Z","submitted_at":"2019-08-12T17:39:23Z","title":"The dual pair $\\big(U_q(\\mathfrak{su}(1,1)),\\mathfrak{o}_{q^{1/2}}(2n)\\big)$, $q$-oscillators and Askey-Wilson algebras"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":24,"verified_exact":2,"verified_fuzzy":13},"total_outbound_references":39},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:1908.04277."}