{"as_of":"2026-08-19T17:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:298a4c7140a1c570e3e20e10d8ae2bc274001ab070a42b5f72e52026edbab107","coverage":[{"denominator":24,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":24,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T16:52:00.210464Z","state":"measured"},{"denominator":25,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":25,"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":"2026-08-06T20:09:34.550550Z","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":"2026-08-06T20:09:34.647902Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2501.12806","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.12806","snapshot_observed_at":"2026-08-06T20:09:34.647902Z","title":"Bispectrality of the sieved Jacobi polynomials","venue":"math.CA","work_id":"433d8bd6-9f21-4a31-878f-45673bf920fc","year":2025},"citing_paper":{"arxiv_id":"2507.03862","last_updated":"2025-07-05T02:24:24Z","snapshot_observed_at":"2026-08-17T10:42:30.296554Z","submitted_at":"2025-07-05T02:24:24Z","title":"Eigenvalue equations for sieved polynomials or proving Askey right again","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T20:09:34.550550Z"},"links":{"cited_paper":"/paper/2501.12806","citing_paper":"/paper/2507.03862"},"observation_digest":"sha256:76391832ec73c49225e328f5de8714fc8adeb3e7deee8a828f719a1dd8360cb9","observation_id":"29dcca34-3fa6-4093-857e-2e19fe4cbcb2","resolution":{"observed_at":"2026-08-06T20:09:34.653783Z","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/2501.12806/citation-record","integrity":"/paper/2501.12806/integrity","json":"/paper/2501.12806/citation-record.json","paper":"/paper/2501.12806"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T16:52:00.509445Z","title":null,"venue":null,"work_id":"bd47ef20-5ab4-4942-b0aa-331322ddb4f0","year":1998},"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":1,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.123284Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:61ae89e61bd1a9f20a5666d47716ce3d0dd05c1df636acc51d5f78f43afbfacd","observation_id":"c7fa3e12-4924-450d-8237-f73a9ebbf4e4","resolution":{"observed_at":"2026-08-10T16:52:00.512946Z","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":"2026-08-10T16:52:00.499232Z","title":null,"venue":null,"work_id":"05d07fc8-57a1-4911-a4cc-3b50b0428132","year":1984},"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":2,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.127927Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:e837d6db20bb0c4349d4758e75236c58bc381e166d9fda55fc4227ee3baffdb0","observation_id":"ffc617e8-0384-4725-9918-df38d2b269bf","resolution":{"observed_at":"2026-08-10T16:52:00.502692Z","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":"2026-08-10T16:52:00.489584Z","title":"Askey, Orthogonal polynomials old and new, and some combi natorial connec- tions , in: Enumer- ation and Design, D","venue":null,"work_id":"ae2ddd00-1a5b-463d-af92-a14b5fb82d12","year":1984},"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":3,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.132231Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:31719a93212aff0420aef46149f69cd891c3b3ae51827760379b592eb948efff","observation_id":"f9b0c7f7-8d1a-45ea-a769-0a4587d54476","resolution":{"observed_at":"2026-08-10T16:52:00.493351Z","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":"2026-08-10T16:52:00.480424Z","title":null,"venue":null,"work_id":"a23e5a39-2a50-4a69-bcad-c9bcd0ea2016","year":1987},"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":4,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.136224Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:48dc5007ceab52c8068b54afff7226aba403d42e0c86475fdb80c71412d0e22d","observation_id":"65863377-e525-4219-91c3-9c4aa3c76956","resolution":{"observed_at":"2026-08-10T16:52:00.483383Z","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":"2026-08-10T16:52:00.470382Z","title":"Belmehdi, Generalized Gegenbauer polynomials, J","venue":null,"work_id":"c037b65a-8b3e-4c93-9850-dd66d48499c5","year":2001},"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":5,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.140282Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:11c145bf113844fa5abe01452d469f1cc9ba8eac4a3957c03979037f20e53d31","observation_id":"874faf61-996f-48ef-8b21-89bfb988b921","resolution":{"observed_at":"2026-08-10T16:52:00.473956Z","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":"2026-08-10T16:52:00.459375Z","title":"Bustoz, M","venue":null,"work_id":"32da1d01-dc87-4930-96b7-48ca16891ad0","year":1990},"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":6,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.143837Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:41404519ddcdc1287e88d28b93076e6bd6e6c42493ef7f6ea94acad5606fd5e9","observation_id":"84593d60-29a2-4941-833a-d48192df9043","resolution":{"observed_at":"2026-08-10T16:52:00.463352Z","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":"2026-08-10T16:52:00.448749Z","title":"Ben Cheikh and M.Gaied, Characterization of the Dunkl-classical symmetric orthog onal polynomials, Appl","venue":null,"work_id":"9ef0743a-dcbe-46bc-810b-6cb3514624cc","year":2007},"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":7,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.147612Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:efda117df939ab3a1c3ea647c2923c07f117064d8f3e5258e3305eb57ad4e3e1","observation_id":"ec21ddc0-a799-4fb0-9083-0ca5c48b9b52","resolution":{"observed_at":"2026-08-10T16:52:00.452639Z","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":"2026-08-10T16:52:00.438226Z","title":"Cherednik, Double affine Hecke algebras, Knizhnik-Zamolodchikov equat ions, and Macdonald’s operators , Int","venue":null,"work_id":"fbad7ec3-1655-4f72-894b-eade25c6dbd6","year":1992},"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":8,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.150760Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:c3c3a01990d2b25547e2ac5d9c1eefbb4abeae7f76e5afe2fa97b5c9a3535811","observation_id":"d7cd7dbf-4c1c-461e-b966-119ca1a24cce","resolution":{"observed_at":"2026-08-10T16:52:00.441861Z","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":"2026-08-10T16:52:00.427400Z","title":"Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, NY, 1978","venue":null,"work_id":"2a3fbda3-8361-47a1-a287-ead56fc3e92e","year":1978},"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":9,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.153725Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:bbbdbe8cf8b0542cdde9633675c31218a16c2c61b010651a7bd93f8823afc5ae","observation_id":"726374a5-a708-4bb6-9857-ed0db1d77038","resolution":{"observed_at":"2026-08-10T16:52:00.431118Z","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":"2026-08-10T16:52:00.417072Z","title":null,"venue":null,"work_id":"d9d7f583-c634-4787-a2f2-3a90562abd15","year":2012},"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":10,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.157722Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:f3227865a70e711536f7340ed0097e37829ba38cfd28e17f1b7c7b8310e26acd","observation_id":"39920c15-fe98-4da9-ac17-40024122c91e","resolution":{"observed_at":"2026-08-10T16:52:00.420690Z","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":"2026-08-10T16:52:00.406759Z","title":null,"venue":null,"work_id":"e17e9449-1d7a-4d62-bca4-ad360cc6ee6d","year":1988},"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":11,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.161037Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:f897587c4bdb1e9d3b01830c45cf37120ccd42faf71a20f5f399af48bc0e5900","observation_id":"0001fa92-2c41-441f-9a9e-61dfda980f74","resolution":{"observed_at":"2026-08-10T16:52:00.410369Z","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":"2026-08-10T16:52:00.396416Z","title":null,"venue":null,"work_id":"0243e94e-e4d8-45ca-9943-3958ad5ad5af","year":1962},"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":12,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.164844Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:27791f0a1b7135b53202faa9664444ba9678f98ac840e6ed4a7c387f7d3f941f","observation_id":"3aff489e-4fb2-45ef-b58b-ba511999b8e9","resolution":{"observed_at":"2026-08-10T16:52:00.399838Z","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":"1607.01962","doi":null,"metadata_source":"pith","pith_arxiv_id":"1607.01962","snapshot_observed_at":"2026-08-10T16:52:00.294718Z","title":"The CMV bispectral problem","venue":"math.CA","work_id":"93c5c113-7460-40bd-8e1c-c183ba216a43","year":2016},"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":13,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.169176Z"},"links":{"cited_paper":"/paper/1607.01962","citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:1cc9ae7f3a12bb2ebf4958937a511647fb970474f335461bc778df710db35c33","observation_id":"35bd97b3-a93a-4f33-94f3-9a1f99b011ba","resolution":{"observed_at":"2026-08-10T16:52:00.298752Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T16:52:00.385262Z","title":"Encyclopedia of Mathematics and its Applications (No","venue":null,"work_id":"f9bdd178-fdbc-4c49-bd80-1a0dac8f5d6b","year":2005},"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":14,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.173319Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:6cb1fe699fd3b8f0244b4c57b1d4ce8837764c815073c14aa1ed3d68fab72555","observation_id":"3ede7d06-7781-4edf-a205-1720cfe8d87d","resolution":{"observed_at":"2026-08-10T16:52:00.388983Z","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":"2026-08-10T16:52:00.372779Z","title":"IX: Orthogonality on the unit circle, Pacific J.Math","venue":null,"work_id":"4da6fdc8-9b78-4b1a-8c95-72cb0d5678a5","year":1992},"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":15,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.176949Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:8fa2af854d9e672a902c6f1edee341d81cea61bb7fa9cbd46104afe62da7797c","observation_id":"cfdc3e0a-9d08-40db-a3a4-5037f93b325f","resolution":{"observed_at":"2026-08-10T16:52:00.377219Z","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":"2026-08-10T16:52:00.360907Z","title":"Koekoek, P","venue":null,"work_id":"76397b28-f446-41ff-950d-9ab82a43bda5","year":2010},"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":16,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.180840Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:5a6dcef473ed35df2f35c11a594bd7836d7051a9d4572484d555183d6b331400","observation_id":"43d12375-7ff5-4e50-884a-b4e6079d3af3","resolution":{"observed_at":"2026-08-10T16:52:00.364698Z","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":"2026-08-10T16:52:00.349802Z","title":null,"venue":null,"work_id":"07ac8064-19b7-483f-84af-512a0b4afb4e","year":2007},"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":17,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.184283Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:f5bcbc9588b31cd25a0c5edcfeb28041c1026cbcf408dcdf0deec09b2202191f","observation_id":"6c24dd09-ec85-44ec-ab9c-0387adcf2a86","resolution":{"observed_at":"2026-08-10T16:52:00.353145Z","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":"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":"1006.1140","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.1140","snapshot_observed_at":"2026-08-10T16:52:00.277287Z","title":"Nonsymmetric Askey-Wilson polynomials as vector-valued polynomials","venue":"math.CA","work_id":"6dda6714-226a-4538-9e67-822164aae1eb","year":2010},"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":18,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.187810Z"},"links":{"cited_paper":"/paper/1006.1140","citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:2174331a02e43aab19370e2116905d0003172c69b1f9ccb2be4cb6b98eeebfd2","observation_id":"d12ed87e-3159-4e48-ac43-3467ffae3dfc","resolution":{"observed_at":"2026-08-10T16:52:00.281628Z","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T16:52:00.339490Z","title":null,"venue":null,"work_id":"2c0365fd-9506-42d6-adea-5d57b30afbb5","year":2005},"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":19,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.191789Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:449312d99a9183c68fe7bbbff4cdbbff733d9363e4bea9138a856a14d7bdc7a5","observation_id":"710e8c2b-be43-4671-a825-7468f35e8812","resolution":{"observed_at":"2026-08-10T16:52:00.342988Z","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":"2026-08-10T16:52:00.329128Z","title":"Szeg˝ o, Orthogonal Polynomials , American Mathematical Society, 1939","venue":null,"work_id":"33517a1d-af50-4792-83e4-bc54926bb370","year":1939},"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":20,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.195475Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:e6cafd3f2e162d3857563cd4e4ca4b44374c4f7a73c8dcd0a237529ae59fffe7","observation_id":"a60cfafc-8508-4bca-bd7b-65052630d6df","resolution":{"observed_at":"2026-08-10T16:52:00.332731Z","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":"2102.01779","doi":null,"metadata_source":"pith","pith_arxiv_id":"2102.01779","snapshot_observed_at":"2026-08-10T16:52:00.261016Z","title":"An algebraic treatment of the Askey biorthogonal polynomials on the unit circle","venue":"math.RT","work_id":"046497da-e36f-4d86-b590-c27dc4adc686","year":2021},"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":21,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.199225Z"},"links":{"cited_paper":"/paper/2102.01779","citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:6e33634d730f43814370319325dbf2c5a4da7f87bd33818c0cb4b89b5df8f64d","observation_id":"192193ec-97e2-47ca-865d-7fe02d456a69","resolution":{"observed_at":"2026-08-10T16:52:00.264933Z","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"}},{"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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T16:52:00.317951Z","title":null,"venue":null,"work_id":"c3b8d9ee-f649-48d6-b39e-7bca31cd9aad","year":2011},"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":23,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.206870Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:0830e73c9ef9290c0514ae929a56ae83155a7c8fea588ebf51f1d6adca50078d","observation_id":"1c0e29d4-d11b-4ee6-a391-39ba08556af4","resolution":{"observed_at":"2026-08-10T16:52:00.322195Z","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":"2026-08-10T16:52:00.306914Z","title":"IV ADO, Centre de Recherches Math´ematiques and D´epartement de physique, Universit ´e de Montr ´eal, P.O","venue":null,"work_id":"38925485-a981-4fc4-8546-0b3a56196ac5","year":2012},"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":24,"source":"pdf_text","source_observed_at":"2026-08-10T16:52:00.210464Z"},"links":{"citing_paper":"/paper/2501.12806"},"observation_digest":"sha256:fe315c6dc11a6ead0e3f7b8f0ac8dfe1b81e7f708d8aa3e909d877f5c7719056","observation_id":"3d87491b-10eb-4536-b0d5-abba2bd86b78","resolution":{"observed_at":"2026-08-10T16:52:00.311018Z","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":"2501.12806","last_updated":"2025-01-22T11:23:44Z","latest_version":1,"primary_category":"math.CA","snapshot_observed_at":"2026-08-18T23:11:09.983881Z","submitted_at":"2025-01-22T11:23:44Z","title":"Bispectrality of the sieved Jacobi polynomials"},"reference_resolution":{"displayed":24,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":4,"verified_fuzzy":11},"total_outbound_references":24},"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 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2501.12806."}