{"as_of":"2026-08-19T14:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:728c5a40c98dc411f440e6854aa668865323546153e96c332bb0523d49c1c4ac","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T15:32:20.568435Z","state":"measured"},{"denominator":22,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":22,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+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":"2026-08-10T16:52:00.202932Z","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":"2026-08-10T16:52:00.241619Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"cited_work":{"arxiv_id":"2412.11031","doi":null,"metadata_source":"pith","pith_arxiv_id":"2412.11031","snapshot_observed_at":"2026-08-10T16:52:00.241619Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","venue":"math.CA","work_id":"4843f10a-85bd-42c1-a856-8a15ef3e3a18","year":2024},"citing_paper":{"arxiv_id":"2501.12806","last_updated":"2025-01-22T11:23:44Z","snapshot_observed_at":"2026-08-18T23:11:09.983881Z","submitted_at":"2025-01-22T11:23:44Z","title":"Bispectrality of the sieved Jacobi polynomials","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.202932Z"},"links":{"cited_paper":"/paper/2412.11031","citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:96b08280c5d789ea6f68fc635e7d26962298fb97e3563a4f1ad720981f1ba281","observation_id":"425ecbd1-0b3d-4c80-baac-28a64b4985ef","resolution":{"observed_at":"2026-08-10T16:52:00.248220Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.11031/citation-record","integrity":"/paper/2412.11031/integrity","json":"/paper/2412.11031/citation-record.json","paper":"/paper/2412.11031"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:32:20.969469Z","title":"Askey, R","venue":null,"work_id":"89feaf7d-367f-462b-b304-8216e3e06172","year":1984},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.440676Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:e4a647035c6a2999d66c4870b8ba30be3af9c99b0130b95357e62fc52d19ac7d","observation_id":"6108a4af-3aaf-4928-bf2a-2da7c80d832b","resolution":{"observed_at":"2026-08-11T15:32:20.974795Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.952643Z","title":null,"venue":null,"work_id":"1117046f-23d9-407c-8622-dba85a9099cc","year":1987},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.446840Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:8d541f27a9dd751fb4354eb44c19d88d92b6b0063cdfef370a7ac2db0d22ecc1","observation_id":"7aa15258-ef80-487c-8956-91e0eecb3916","resolution":{"observed_at":"2026-08-11T15:32:20.957476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:32:20.451491Z","title":"Cherednik, Double affine Hecke algebras, Knizhnik-Zamolodchikov equat ions, and Macdonald’s operators , Int","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.451491Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:9562db58988654a876ff273f496aa42e51b3cb7bfcefb2adf6a4048141a1466d","observation_id":"b41dda1a-aa1a-467a-862c-7f81ac20690d","resolution":{"observed_at":"2026-08-11T15:32:20.451491Z","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":"2026-08-11T15:32:20.919702Z","title":"De Bie, V","venue":null,"work_id":"22637dea-2b8b-4d81-8459-3ddd151bc2af","year":2015},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.456287Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:ad9c6a589cf74ec3da9391f0d65e1419f756de3acbca4b90b656325c1e635ba8","observation_id":"1c884535-896c-46be-813f-3dfb29f12d37","resolution":{"observed_at":"2026-08-11T15:32:20.927789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.900827Z","title":"Derevyagin, L","venue":null,"work_id":"cf6bca69-aa37-49ac-886e-c2ab9aa0335f","year":2012},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.462375Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:3cef941e6bdf5fa5105e47d3265763115096fc46ba06ea756c6c7b257b7384b6","observation_id":"57e69d14-1eb1-4ec5-8866-01b9e06951f4","resolution":{"observed_at":"2026-08-11T15:32:20.907356Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.881761Z","title":null,"venue":null,"work_id":"2c56d481-4dc9-43be-8e94-6902441c4ea5","year":1986},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.468725Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:148f8997ac2deb03c661e5d498047ce7b95e57740c6aa728d5e9fa9ca535bd38","observation_id":"f052dd31-3db7-441e-be94-08cd8d23a2a2","resolution":{"observed_at":"2026-08-11T15:32:20.887974Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.867021Z","title":"Genest, M","venue":null,"work_id":"7a194cec-936c-4f1d-b00f-cfa9f73e7dc4","year":2016},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.475110Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:c2c6d00d10832e7e52a80cf0c608cb342ddb80061905145d70af5c170cb6ecb9","observation_id":"f7af6061-6e40-496a-90d6-cffa2f4b8792","resolution":{"observed_at":"2026-08-11T15:32:20.871902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:32:20.479626Z","title":null,"venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.479626Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:3e357ac9cb633835c7c4c9ff785cf9938cbb27521f2e362ab4c218b8a2538ebb","observation_id":"9d41cae8-57f1-4894-8cd5-7cf11e3881c8","resolution":{"observed_at":"2026-08-11T15:32:20.479626Z","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":"2026-08-11T15:32:20.839984Z","title":null,"venue":null,"work_id":"b1a5d4bd-e774-45b4-951a-7f3b6a17f1b4","year":1992},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.486104Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:8d0e9d0273ffb5c5966ebc5a2f10dc4198ce25373443de84d93ed233f57df294","observation_id":"1a2d0713-867c-45ea-a30f-523577123f85","resolution":{"observed_at":"2026-08-11T15:32:20.844500Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1607.01962","last_updated":"2016-09-05T12:08:09Z","snapshot_observed_at":"2026-08-18T09:50:49.093538Z","submitted_at":"2016-07-07T11:22:51Z","title":"The CMV bispectral problem","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1607.01962","snapshot_observed_at":"2026-08-11T15:32:20.496986Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.496986Z"},"links":{"cited_paper":"/paper/1607.01962","citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:669c8ab513e3726443c723efe67dd25cf53d960ca5079e9465f7d64065ac2192","observation_id":"90f9b63c-515e-49e7-b00d-cfde8a3fee58","resolution":{"observed_at":"2026-08-11T15:32:20.496986Z","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":"2026-08-11T15:32:20.823219Z","title":null,"venue":null,"work_id":"62b9c7ee-9b6e-4483-a9bf-e431311a1f7a","year":2014},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.501667Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:6a9990ca06eeb37ca0a5c37c544465a92e5adb9ae55d6f2e30c23a79d135bacf","observation_id":"fe681eec-b223-4262-b34d-05a07f7c6c2e","resolution":{"observed_at":"2026-08-11T15:32:20.829539Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.794784Z","title":null,"venue":null,"work_id":"869d1eb8-8c9b-4bc7-9bb8-6c9d41b12905","year":2005},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.506667Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:a014644364a3503d4ff283e2a05bdc2d61936b24370bf72dc0ebf9b41935aff4","observation_id":"8de961c7-691c-48b2-b316-8930776a9560","resolution":{"observed_at":"2026-08-11T15:32:20.803788Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.771936Z","title":"Koekoek, P","venue":null,"work_id":"9aeb19b4-dd0d-48e0-a5da-09509fa440c6","year":2010},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.512372Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:9ee663b0c0ecd8cdc8bf793aa2e71095825034184102ffb318b188b9fda105ec","observation_id":"25931f84-5c6b-4be8-aa41-fb74e06447a0","resolution":{"observed_at":"2026-08-11T15:32:20.778589Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.755887Z","title":"Koornwinder, The Relationship between Zhedanov’s Algebra AW ( 3) and the Double Affine Hecke Algebra in the Rank One Case , SIGMA 3 (2007), 063","venue":null,"work_id":"de494761-a765-4153-9530-937641f0894e","year":2007},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.519802Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:bdd7ae6783ba81743588f25415c15a915f340c09aec54160af0563fd8befeebc","observation_id":"bb319082-cf2d-4270-8862-7f18eb14d34b","resolution":{"observed_at":"2026-08-11T15:32:20.760811Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.1140","last_updated":"2018-03-27T14:30:42Z","snapshot_observed_at":"2026-08-15T05:17:12.708188Z","submitted_at":"2010-06-06T21:32:07Z","title":"Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.1140","snapshot_observed_at":"2026-08-11T15:32:20.525329Z","title":"Koornwinder, F","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.525329Z"},"links":{"cited_paper":"/paper/1006.1140","citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:730eed6cfbac69a9878f81f4b27e0756321385f8c4ca572568362e2a871c3877","observation_id":"a18d7e0c-a9de-4d2a-b9b9-c33ff8619e5b","resolution":{"observed_at":"2026-08-11T15:32:20.525329Z","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":"2026-08-11T15:32:20.733179Z","title":"Simon, Orthogonal Polynomials On The Unit Circle , AMS, 2005","venue":null,"work_id":"eb12da4a-3344-4e98-beed-9e650f3c4a1d","year":2005},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.536314Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:64d0c7b5b2b9d6efc6ab3cb6895ea02b9cec2a07834b6fa88bbca6d95c8e2df1","observation_id":"72368a51-4d5f-42f9-a10a-22a4c733e6ab","resolution":{"observed_at":"2026-08-11T15:32:20.740324Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+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":"2026-08-11T15:32:20.711655Z","title":"Simon, OPUC on one foot , Bull.Am.Math.Soc., 42, (2005), 431–460","venue":null,"work_id":"df7991da-1c29-4e4f-8d81-dceb428211df","year":2005},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.542655Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:786c15c7a3fd74e381ec9c9774da0e09eb3392b8a687f0433524178d94c219c1","observation_id":"01c4288f-a169-4b2b-b6e7-78b90e65bc5f","resolution":{"observed_at":"2026-08-11T15:32:20.719311Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:32:20.548670Z","title":"Szeg˝ o, Orthogonal Polynomials , American Mathematical Society, 1939","venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.548670Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:0a022586f63c5557940df9cc819103d200e6f300a9b6ac0fda1bf7a8b3ae0ad3","observation_id":"57e25deb-51cd-4b4e-a8f4-6baa538d90fc","resolution":{"observed_at":"2026-08-11T15:32:20.548670Z","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":"2026-08-11T15:32:20.682989Z","title":"Vinet, A","venue":null,"work_id":"56d058f6-146c-49c5-87dd-78a52ef22196","year":2008},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.554518Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:61f23b3a333bf149d5022e5139ef3159ca5a76c2dba4a412c3b803e0d389a4b0","observation_id":"6d906824-a999-4db9-ade6-2119ef5576ab","resolution":{"observed_at":"2026-08-11T15:32:20.689725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2102.01779","last_updated":"2021-02-02T22:14:05Z","snapshot_observed_at":"2026-08-16T18:48:10.004298Z","submitted_at":"2021-02-02T22:14:05Z","title":"An algebraic treatment of the Askey biorthogonal polynomials on the unit circle","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2102.01779","snapshot_observed_at":"2026-08-11T15:32:20.561936Z","title":"Vinet, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.561936Z"},"links":{"cited_paper":"/paper/2102.01779","citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:8ee6d6db518df3c1605c5f1b696855fda27814d271879c72addb313ae21753dc","observation_id":"492e87e7-bdde-48bd-a051-d9eb36247769","resolution":{"observed_at":"2026-08-11T15:32:20.561936Z","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":"2026-08-11T15:32:20.663952Z","title":"Hidden symmetry","venue":null,"work_id":"636dea84-2ecf-45e8-8125-d9e1ab396682","year":1991},"citing_paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T15:32:20.568435Z"},"links":{"citing_paper":"/paper/2412.11031"},"observation_digest":"sha256:fddd7ad729ae5b2ab8f7abd26bcba719c3b2a608a2ed10f1043ba25ed9066717","observation_id":"b2757dc1-d477-402a-8afd-72216f262f83","resolution":{"observed_at":"2026-08-11T15:32:20.671328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.11031","last_updated":"2024-12-15T03:01:03Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-14T08:40:17.754713Z","submitted_at":"2024-12-15T03:01:03Z","title":"The CMV bispectrality of the Jacobi polynomials on the unit circle"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":10},"total_outbound_references":21},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2412.11031."}