{"as_of":"2026-08-14T06:25:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c0bad8ddcf4ec05c7f733ee6e181abd28d3da8d3717ff51e42817bda867c8c3f","coverage":[{"denominator":114,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:57:21.255434Z","state":"measured"},{"denominator":100,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":100,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2411.16864/citation-record","integrity":"/paper/2411.16864/integrity","json":"/paper/2411.16864/citation-record.json","paper":"/paper/2411.16864"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.584428Z","title":"Akademie Verlag, Berlin, 1984","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.584428Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:fac0489688bdbb7d60ae873e8dc78a30dc9ff922f68b18e369be8ef912c6c00a","observation_id":"942399d1-ae2c-4004-ada8-d86c91d9a62c","resolution":{"observed_at":"2026-08-12T12:57:20.584428Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.594250Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.594250Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:5a910444eb4c30e3dd0b334c5ede9ae95e817c04aa37db5cce6c7bf322c49829","observation_id":"8f1487a4-9aa4-421e-bf06-4b7b27dfaff1","resolution":{"observed_at":"2026-08-12T12:57:20.594250Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.601736Z","title":null,"venue":null,"work_id":null,"year":1950},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.601736Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:4ee259fc2f8bfbcd035e3d7a73e45d99852ffb66e485e0bb3632dcc4c01a31c9","observation_id":"33680044-24ab-49db-9c05-7ff6df224f12","resolution":{"observed_at":"2026-08-12T12:57:20.601736Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.608883Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.608883Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:1f3981f99777137c0f693b386ae3be6897ee9f771b2dd180e688a716b46293ef","observation_id":"840e6e89-533f-470d-b4e5-a44a2db59b7e","resolution":{"observed_at":"2026-08-12T12:57:20.608883Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.613446Z","title":"SIAM, Philadelphia, 1975","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.613446Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:2956c5f7ce2369d539189195e51ce231dce181a2acc8b4a271ceb311dfe5e4f6","observation_id":"17774c5c-24b6-4255-b12c-4e942ec46418","resolution":{"observed_at":"2026-08-12T12:57:20.613446Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.619017Z","title":null,"venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.619017Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:9e17dd33df80f1b9e2e9f39ba2ecd78c7553b9dd1e66d6e4a540e54eace34771","observation_id":"599d590a-7e4e-40f6-92cd-ac156c64a876","resolution":{"observed_at":"2026-08-12T12:57:20.619017Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.623933Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.623933Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:aaa5774ac82aaa0b05d87f81f7864d5edecd394dfda0587c9a2f13388f813d54","observation_id":"39c01710-c0b7-4155-bb87-92db62610622","resolution":{"observed_at":"2026-08-12T12:57:20.623933Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.629164Z","title":"De Gruyter, Berlin, 1995","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.629164Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:561c0c120909c9a1cf1a4d9092291c21a0f74a0eecb063ff0a62d2eece677152","observation_id":"f0f0b252-7384-4ea7-ad9f-3c23c833825b","resolution":{"observed_at":"2026-08-12T12:57:20.629164Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.635177Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.635177Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:c61a33f1dc2727f1d3ef03161b08088578af56862a8eea028af8f9ec5c6e7fef","observation_id":"993e86de-5d19-497c-98bd-0bee6b620610","resolution":{"observed_at":"2026-08-12T12:57:20.635177Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.641645Z","title":"113 114 BIBLIOGRAPHY","venue":null,"work_id":null,"year":1932},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.641645Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:513196d9494513ab3ab011c308f970262e18597101cb3e6570cfe255d943a406","observation_id":"24ab4297-72ec-4d71-8801-d1359f2254cf","resolution":{"observed_at":"2026-08-12T12:57:20.641645Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.649203Z","title":"in: Proc","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.649203Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:b82aaa9d813f35b6f1f490caeeaf2f040f7ff32eacc612a65ba6e96fbe7a44cf","observation_id":"96dc5062-e370-4176-bf5f-b2c8afedcbf4","resolution":{"observed_at":"2026-08-12T12:57:20.649203Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.654286Z","title":"SIAM J.Math","venue":null,"work_id":null,"year":1981},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.654286Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:9f9c9aecabcb6281a351871e0270eb5fe21d9a81c6f8e25fd9334a39da5b231e","observation_id":"7f2d77a8-48c1-44c2-9745-13c2e3632e2d","resolution":{"observed_at":"2026-08-12T12:57:20.654286Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.659479Z","title":"Springer, New York, 1991","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.659479Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:5575c9c38548be39821e7b160ca7257cef7be04cee2b27c7b5059ec09834e486","observation_id":"b9dc5db2-d0ba-40c6-8f32-db0568a4109b","resolution":{"observed_at":"2026-08-12T12:57:20.659479Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.668064Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.668064Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:fa67aa2c72c0fcf1d29310e48391ec9c51e65de9a1d79e1e2d82d956cda4754a","observation_id":"3940fb43-66c4-47a8-983e-de1d3ed4aceb","resolution":{"observed_at":"2026-08-12T12:57:20.668064Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.674772Z","title":"Stochastic Anal","venue":null,"work_id":null,"year":1988},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.674772Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:1dc20bbaa1df8d2ab84bb0841283031b0d821ea0323f6de3c8e6f8b877965efb","observation_id":"efdb7f71-9930-4067-9978-4c85bf42cd9b","resolution":{"observed_at":"2026-08-12T12:57:20.674772Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.678521Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.678521Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:eb0f0ec54d9771d7a4dedbfa2936f0c96c6de407fda7842dc04064cd7f163ec1","observation_id":"9b7615e3-b7cb-4b39-8be6-2df7364eefe0","resolution":{"observed_at":"2026-08-12T12:57:20.678521Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.682378Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.682378Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:85013d0ec48895d3e1e647853c9d04228e273f9135e37971e9f485803d55a93f","observation_id":"249895e2-5d82-43d8-9406-43aef116386f","resolution":{"observed_at":"2026-08-12T12:57:20.682378Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.686689Z","title":null,"venue":null,"work_id":null,"year":1940},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.686689Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:2a3e6ff61a6edcdd52bb8445f9d243ad5d18a7349c00771cf6eae1a59dc8b4be","observation_id":"0b6709b7-f390-4e9c-bce2-0674b5519ceb","resolution":{"observed_at":"2026-08-12T12:57:20.686689Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.693932Z","title":null,"venue":null,"work_id":null,"year":1964},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.693932Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:d738c1d5356250053f2ba4b4d80edae97ae77bf67387dac73edbbd239d67d58c","observation_id":"ea353001-b45f-4ac9-979e-c22755a1ad53","resolution":{"observed_at":"2026-08-12T12:57:20.693932Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.701248Z","title":"Stochastic Processes Appl","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.701248Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:1d579b4cbfaf598939065c9303cfe558f0dabdc5cdec5302e0025c4ee37ce48c","observation_id":"1a2f5250-a8e9-4c4e-9702-48e7fa61709c","resolution":{"observed_at":"2026-08-12T12:57:20.701248Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.710860Z","title":"Nevai (ed.), NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences, 294","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.710860Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:60cd6651acec37c49b6fb158dbb40c4de90ec1cd92c8a788d674c542150b4933","observation_id":"6324586d-c835-45e2-a4ff-571b225b4c56","resolution":{"observed_at":"2026-08-12T12:57:20.710860Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.718437Z","title":"Wi- ley, New York, 1985","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.718437Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:05ad5e42621ba869d0d164a3cc86a5b57e4be5965db349fa1e86f44cc220fa06","observation_id":"4dcdf546-3498-4030-85db-1f8d0ca6177a","resolution":{"observed_at":"2026-08-12T12:57:20.718437Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.724538Z","title":"Signal Processing 86 (4) (2006), 639-697","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.724538Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:9a1ff8006aa41363bac3adf3921236e59638dd4d2b6c90097a17049ba363c514","observation_id":"224df3e1-bf0a-4f5d-8f3f-303a1c793302","resolution":{"observed_at":"2026-08-12T12:57:20.724538Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.728661Z","title":null,"venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.728661Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:6c355434092a0b9b5b9afbae4bd60d2a5327077562d0f1da3376160374feeca1","observation_id":"f0394e0e-a090-4a8e-9ac9-3dfe1b5800a5","resolution":{"observed_at":"2026-08-12T12:57:20.728661Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.733595Z","title":"Numer- ical Mathematics and Scientific Computation","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.733595Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:522f8e53c4f7fe96885154ea89a99af3e29decf9e5177362a857ced0f9e14578","observation_id":"15c7acfd-1b26-4123-8397-66d8767c45b6","resolution":{"observed_at":"2026-08-12T12:57:20.733595Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.738728Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.738728Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:44a9195e335a348abb62821969b6a05b4e5bf268ad036d920e374d8ed59dc22b","observation_id":"f85651f9-458b-488f-8e42-310978f9c15d","resolution":{"observed_at":"2026-08-12T12:57:20.738728Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.744630Z","title":"Pergamon, Oxford, 1960","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.744630Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:f7d40d320a210691caf6fa103e577891a17f71a5cafe3e4d4801ddd400dd45d2","observation_id":"38aab7d3-d63e-464c-a64e-7c31894f4916","resolution":{"observed_at":"2026-08-12T12:57:20.744630Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.750115Z","title":"Duke Math","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.750115Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:b5b1e8688567302562641023b84fafe9f21d936d35ab87f5b5e9deed653bdf63","observation_id":"cfb7e4d2-11ca-4a73-9da9-8f941422e78e","resolution":{"observed_at":"2026-08-12T12:57:20.750115Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.759682Z","title":"Soviet Math","venue":null,"work_id":null,"year":1961},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.759682Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:99544b5e339d441217f72c96ef6bb4d08306aba81bef36c765d1016e8ac8da17","observation_id":"349efcfc-a828-48ef-8842-7a49217c8649","resolution":{"observed_at":"2026-08-12T12:57:20.759682Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.767032Z","title":"Theory Prob","venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.767032Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:990fb218675db4a5c83ace7ebee3a9666ca638c7720fef292b6c097f96cd1f25","observation_id":"f51552df-779f-4693-b794-34bd75d2bca2","resolution":{"observed_at":"2026-08-12T12:57:20.767032Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.780020Z","title":null,"venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.780020Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:8dda9e4c70307f4f7b2afa4c196d372fc0aa014f39a56dde87ae80cb13f40729","observation_id":"7976682c-a41a-4ebb-bb3b-3c9580c3be2b","resolution":{"observed_at":"2026-08-12T12:57:20.780020Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.786766Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.786766Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:8c30f80b1cc1847eddbbe850981cc184b6335f5e812c0c5fe00530897cd38bda","observation_id":"4fe2a66d-3ef4-4b3b-8ea1-11fef32e673b","resolution":{"observed_at":"2026-08-12T12:57:20.786766Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.791228Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.791228Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:a517c8a0c779ae4824101ae759e61e59e90f65dd27e4f1ea2f940bef10494e97","observation_id":"4f0aa97b-961b-4d90-bfd8-e31fad643e79","resolution":{"observed_at":"2026-08-12T12:57:20.791228Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:57:20.796609Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.796609Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:55d248986ac359bff06213fabf434e7d83b1c66ebf6369276ccd327f135b0cb3","observation_id":"c1db315f-5124-46ac-b777-a4e25649dcf0","resolution":{"observed_at":"2026-08-12T12:57:20.796609Z","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":"2026-08-12T12:57:23.978225Z","title":"Gaussian Random Fields, World Scientific, pp","venue":null,"work_id":"f3ecd4bf-87ff-4cab-be1b-adc5d5e47dd6","year":1991},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.803262Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:bcdf24ecf9676618b9a1d817391e7a8e132561f652ba11fee546ec4c64f69547","observation_id":"00766286-c7e2-452f-a342-7adf389db7ac","resolution":{"observed_at":"2026-08-12T12:57:23.994340Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.931034Z","title":"Contemporary Math","venue":null,"work_id":"9c62ffd2-b780-4510-9e48-78f7ff2d8b82","year":2000},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.809483Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:e4736fceefe3246a8c7159d40988dc16c199061c78542658313d8944b810bf95","observation_id":"5e0b818a-d87d-4b22-a59e-8d7435d5e936","resolution":{"observed_at":"2026-08-12T12:57:23.941692Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.885940Z","title":null,"venue":null,"work_id":"1a1bdd05-4446-4790-b8a2-04bef6a33865","year":1995},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.814742Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:ec05ce560c10064a5643e204bef3bef033dad18313fc697a42dddf37d7fac947","observation_id":"c29eb33d-5444-4f8e-b0a5-05f2cec40d3b","resolution":{"observed_at":"2026-08-12T12:57:23.891851Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.844884Z","title":null,"venue":null,"work_id":"af0bd0f0-7f00-457e-943a-b11e54bd369c","year":1992},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.820909Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:9023dd4a5541c025a2adff28c0b45e78ef56ce61e50540cc34e01888c3fbe207","observation_id":"16170ced-b7e9-40f6-9940-9efc5cc6000a","resolution":{"observed_at":"2026-08-12T12:57:23.861991Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.770066Z","title":null,"venue":null,"work_id":"1811792d-e651-4b04-b03d-dd4a028bd3ba","year":1998},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.828582Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:48fada6659508f082b343047c19bff88985998a7c736a311a597c9f75280d187","observation_id":"0cd65794-6c1c-46ee-bcf6-a2b02bce9690","resolution":{"observed_at":"2026-08-12T12:57:23.786268Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.703770Z","title":"Annals of Probability 31(1) (2003), 93-114","venue":null,"work_id":"f9a0923b-4417-43b6-870e-5b517908057a","year":2003},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.835253Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:0b9366fc68f4efcf225310a133dc6d2e0883bca6a47bd9c96545ea7c0c8d4e6d","observation_id":"81feb14f-a260-44e1-9a1d-cb86a8434685","resolution":{"observed_at":"2026-08-12T12:57:23.710696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.662152Z","title":null,"venue":null,"work_id":"66f94090-e51f-4b3a-9197-0ce8b305a0a4","year":2006},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.840974Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:86d9da789bd3ac23047dca958015faa2e7f5b6f0146e1a59399e44382cce2c56","observation_id":"0b637afd-f5c2-4e45-b43e-3efb3b66444e","resolution":{"observed_at":"2026-08-12T12:57:23.674600Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.626653Z","title":null,"venue":null,"work_id":"5ac60963-5acf-4dc4-a6d7-7bd1911b43fc","year":1990},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.849530Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:bdc3600841182584c369a7070f5b532a3d4d85be382a9a1c861f71370008aa0d","observation_id":"a4a785f5-0e84-40ce-b734-28f6421de8a0","resolution":{"observed_at":"2026-08-12T12:57:23.639672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.589315Z","title":"Theory Rel","venue":null,"work_id":"ecc28728-2d50-4853-a308-a0bc50e9a21d","year":1990},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.857857Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:091eaef2f383a1eb09877feb735f24c84db62a09f7928446a53a5fd39fa06ff0","observation_id":"151e52ec-38bc-40f8-9120-5eea5459e09b","resolution":{"observed_at":"2026-08-12T12:57:23.598925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.560607Z","title":null,"venue":null,"work_id":"7c8d5693-1964-4df0-89da-6ce4ca36fd5f","year":1989},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.863283Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:6cbf0ff837cf3126af712782addcd7e98b52d77d82bceeb7f2abbdd508c6493b","observation_id":"4108de86-6448-4cab-81bf-ced79d72deba","resolution":{"observed_at":"2026-08-12T12:57:23.567290Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.516749Z","title":null,"venue":null,"work_id":"099ad164-410a-4fd2-bbf9-a279f87e8af2","year":1991},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.868549Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:ef17f2e612923c4c27b98a4eda7ab38859ab71409a217a7fdfce8085c1f74676","observation_id":"02fdaea7-f481-49b0-b7a4-5e24ca492b17","resolution":{"observed_at":"2026-08-12T12:57:23.526521Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.474185Z","title":"Spectral theory and practice","venue":null,"work_id":"811b7191-c15e-45bf-9b87-7e8fb351fbae","year":2007},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.874687Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:cdfd8208918274e0e1b528e3d48d8d17c2e14e8d99b2cf22dea195aa316c15c1","observation_id":"a055dc7b-e281-4f75-912f-b264613d3709","resolution":{"observed_at":"2026-08-12T12:57:23.487401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.432075Z","title":"Cambridge University Press, Cambridge, 2005","venue":null,"work_id":"83f5e33c-d61f-46fe-b019-8fb602fc8ad0","year":2005},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.880676Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:de3016cce7a216dc3516dc5875f1356be13dfac8070cb6da8ca02262e3b5dee6","observation_id":"fd198859-dc06-4cab-b588-d5d49bdd343f","resolution":{"observed_at":"2026-08-12T12:57:23.442475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.373641Z","title":"Biometrika 12 (1918), 134-139","venue":null,"work_id":"0e828a4a-5216-459f-8e83-b6955a1b8a7a","year":1918},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.886427Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:b6cc0e377f6d5f1a65e61656db3c90d88131a4848c5b560ea397e3fe8f216824","observation_id":"049fc935-3a13-41c9-8754-aacc35901d89","resolution":{"observed_at":"2026-08-12T12:57:23.389138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.333771Z","title":null,"venue":null,"work_id":"6aad2eac-f600-4d7f-a784-bf9f5d51f062","year":1975},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.892006Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:c615b0fe3eea8481edbe04f41443925b990c9bda0e18118c03cb6c38989eec65","observation_id":"cc06799a-a256-4208-a7e5-3d1e6ccf2390","resolution":{"observed_at":"2026-08-12T12:57:23.348495Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.307995Z","title":"SIAM Review 37 (1995), 297-386","venue":null,"work_id":"098e242b-4df4-4820-a3bb-9d56242753a6","year":1995},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.897337Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:4b1ce0d39fd31c8410348909575c1d9ebc93ee505dee575833840bdb2c7ba6be","observation_id":"42cdca89-44a2-44b1-b11b-3475764c9d47","resolution":{"observed_at":"2026-08-12T12:57:23.316742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.266471Z","title":"Series on Multivariate Analysis 2, World Scientific Publ","venue":null,"work_id":"3059e5a4-1c96-4a1b-b7b9-b8ff6c88b641","year":1997},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.903567Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:fc0b827dff115ef1473709bd6fe88697387894217455458a67437496ac39c33f","observation_id":"eafb20be-c996-45c7-9533-340de400db7b","resolution":{"observed_at":"2026-08-12T12:57:23.278981Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.228361Z","title":null,"venue":null,"work_id":"0446a439-126a-406c-a152-8a267491301a","year":1971},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.909573Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:514fb4f1fc1f79e7eef6c8f100a3f27571bdc2fb1712f78cf511b13ef2a315fc","observation_id":"04036554-0760-4d5a-89cf-5871da86e18e","resolution":{"observed_at":"2026-08-12T12:57:23.236117Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.175910Z","title":"Mathematics Student 30 (1962), 55-67","venue":null,"work_id":"46710606-42d8-49eb-aa0e-7e9c5fae62d2","year":1962},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.916230Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:1b42f3f9a31d6c59e94029708329a185fcaef1ad61182d0801f3b78d318a67d1","observation_id":"e8ddd156-244d-41ea-9b4c-c20ff5586926","resolution":{"observed_at":"2026-08-12T12:57:23.185370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.146376Z","title":null,"venue":null,"work_id":"4d0c82bd-9b8c-4ae6-93f5-b5b124ccd720","year":1962},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.922820Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:de52b0c0d7bdac3b5bc921573de9f8456b9e3bcc371f098451c1bad5dfe89097","observation_id":"c78970b2-0b4b-463e-bd87-dab68b1bd1ca","resolution":{"observed_at":"2026-08-12T12:57:23.152431Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.106674Z","title":null,"venue":null,"work_id":"a5e37018-e8b8-4eea-8729-a82fb3a7b80b","year":1934},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.931967Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:f1dda394fdf23ca834b058be815bef989e7ac20693293afffb858d3fc0b54904","observation_id":"1592b58a-78c3-48fb-ac71-e4cb7b5de2a4","resolution":{"observed_at":"2026-08-12T12:57:23.114183Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.074175Z","title":"Springer, Berlin, 1922","venue":null,"work_id":"478e757f-98f1-4f3e-ab6e-032d7b7a33b9","year":1922},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.941990Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:4075ed095cebacf2926ea63ae1c021b52128d53d0ef1091a42816338f8af805b","observation_id":"1630c18b-2ebd-4a46-b013-a0009ed5f2bc","resolution":{"observed_at":"2026-08-12T12:57:23.087977Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:23.021692Z","title":null,"venue":null,"work_id":"24648b13-db57-4ba4-b492-c232a2dacd27","year":1941},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.953940Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:e8b6ad2dc60d61de49776dad09a280b816a5db006dc50c9326200bf1eb9cc3b7","observation_id":"a76602fd-9b13-4cfc-bf88-ff0a616d2b89","resolution":{"observed_at":"2026-08-12T12:57:23.035254Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.994718Z","title":null,"venue":null,"work_id":"488e39d5-20f2-49bb-8f35-4b5634269a00","year":1989},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.958759Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:d84da899209f817fca7c06ec0eb465d45456d88ffbce0d1406c38a515c513111","observation_id":"2c3f6eb5-575f-48eb-89a8-9752a2d7adf1","resolution":{"observed_at":"2026-08-12T12:57:23.003627Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.958304Z","title":null,"venue":null,"work_id":"52207b8d-b677-4816-8039-7112b7a560e7","year":1995},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.963586Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:2ed446844bec1a2a7e20f1d4704e2fa2e54b4d936dcb164a0fe328b756fc83d1","observation_id":"3d8ad057-9f0c-469a-bfbc-887afb604cc6","resolution":{"observed_at":"2026-08-12T12:57:22.965628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.923973Z","title":null,"venue":null,"work_id":"d8a96627-9a80-42cd-96bf-ee46e21fbfaa","year":1983},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.968035Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:3b9cd2d15e2c4cafd075a6dbe17d863b78c1d4f39c1d7a1a16aeb2763b9005ed","observation_id":"b5fa0c9d-5cc0-47c7-9558-62496846f002","resolution":{"observed_at":"2026-08-12T12:57:22.933818Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.889824Z","title":null,"venue":null,"work_id":"c7a8881b-3525-4361-a8bb-d5ee5b6bcdff","year":1994},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.972398Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:43b86fdba2bf4843db45a5dbc773ae03f63662927b5f6e22eeeb4848912416fd","observation_id":"b086f872-2788-4545-9cc7-0953f6c84a3c","resolution":{"observed_at":"2026-08-12T12:57:22.899628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.862257Z","title":null,"venue":null,"work_id":"906aa0a8-1e31-448d-a45d-c4e2f691924f","year":1990},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.980027Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:73c649efbccd9044cac74f786cda6e52fe063642760017c01a54eaf4758e4483","observation_id":"714d279e-ad16-459b-8715-b5d575d81c5e","resolution":{"observed_at":"2026-08-12T12:57:22.869540Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.836340Z","title":null,"venue":null,"work_id":"affad878-15dc-4255-a415-270bbf3e7f9e","year":1989},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.992181Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:70000912bd44d9e824e479f566dd89566b1524dc9517abb92b0fa1c965cf26eb","observation_id":"a6fc93bb-698f-45f0-9fd1-8ff6b41c7ec7","resolution":{"observed_at":"2026-08-12T12:57:22.847477Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.813041Z","title":"Nonparametric Statistics 3 (1993), 71-80","venue":null,"work_id":"6734eb23-8dc3-4cdf-ae99-944e61b6867c","year":1993},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:20.998178Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:588b6ca8048c3c3e69e9578bb9b1552494d8ccd3adc0ee17aea5ae066f405f86","observation_id":"e073c364-a4a6-42fb-90ca-a51dca546df6","resolution":{"observed_at":"2026-08-12T12:57:22.822057Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.790356Z","title":null,"venue":null,"work_id":"d7708299-8286-49e6-885a-d3af656b1cf0","year":1991},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.007469Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:2daf28da5e7b8e5d05609d1754d5a0d8ef99ab604dec7581b68cd4f6268e2784","observation_id":"08ce2be1-367b-44c1-92ec-07cb3cd8f1b7","resolution":{"observed_at":"2026-08-12T12:57:22.800702Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.771048Z","title":null,"venue":null,"work_id":"39b4ff68-bb82-49e9-bead-9ae277d8dcf8","year":1991},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.014637Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:efa114dcc46b66d7ac854d3ec3bed92a5e4273220a854734abccb4191e241110","observation_id":"d1abce78-095b-4e6a-a03f-7b6e722bb45e","resolution":{"observed_at":"2026-08-12T12:57:22.776312Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.744348Z","title":"Stochastic Anal.Appl","venue":null,"work_id":"028194ea-a152-40e4-b06d-232d7998d155","year":1995},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.021431Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:074b1c31532956ed7483ef4edb3e63f15e7ebdb45b50a39d9fc1581d0abd3b33","observation_id":"0f5f968c-a932-4e63-8a6f-2acfb1eae95f","resolution":{"observed_at":"2026-08-12T12:57:22.752453Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.718431Z","title":null,"venue":null,"work_id":"0fe1a20f-e20c-474a-8781-8c0275bcff06","year":1971},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.032983Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:eb1c6544f00013763420780d051acc37c27827f971daaf78cdb4fd279b8d7086","observation_id":"23c2ab8a-3d66-4e5c-9d63-f2b3391f8204","resolution":{"observed_at":"2026-08-12T12:57:22.722960Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.699321Z","title":"Van Nostrand,Princeton, N.J., 1955","venue":null,"work_id":"34a3343b-e970-40aa-8bbd-a3b033510c91","year":1955},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.038625Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:3265a380573fd7688f6e10ac30723ab5a02a42bce08e1f7d0545224fd60878c9","observation_id":"72053e23-5c28-46b5-a984-c1a2cf9e07cd","resolution":{"observed_at":"2026-08-12T12:57:22.706282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.670613Z","title":"Acta Appl","venue":null,"work_id":"20538631-6009-48cc-9d2b-d7a91897255b","year":1987},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.043818Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:aaa0e5318a50fe62a601f3b8f10d7e6d25f0cb1aa317c3a6e70efac102ead118","observation_id":"786acc1c-6e2d-4aed-b8fc-2c647a955ddb","resolution":{"observed_at":"2026-08-12T12:57:22.677113Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.650641Z","title":"North- Holland, Amsterdam, 1983","venue":null,"work_id":"46f01b37-ce80-433d-935a-2d267a9512fc","year":1983},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.057055Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:d1bd6ca473bdcb14dcd5381e14daacbdfd0c70f8436aa2a1a656cd2aaefabe1a","observation_id":"a5d8ba54-ad41-4f2d-be55-0e7b2870318d","resolution":{"observed_at":"2026-08-12T12:57:22.657799Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.624748Z","title":null,"venue":null,"work_id":"af627467-e02a-4ee1-98ec-e5818f366dd5","year":1935},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.064173Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:771e01f3c93a469d27a1f27e7990bea330c52e164d94b548ab870fd6bbfb6bab","observation_id":"f88873a4-b3d8-4209-8d88-211116a9d28c","resolution":{"observed_at":"2026-08-12T12:57:22.630821Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.592417Z","title":null,"venue":null,"work_id":"f7d7bf9c-1d43-4e74-9b0e-9976c23245e4","year":1980},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.071388Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:b203eff247ef40c20c5697d57f05ee39b70cfced5f6938216a693166f491a701","observation_id":"ce19e29f-3fb8-4a23-80a4-a8b67dc01193","resolution":{"observed_at":"2026-08-12T12:57:22.606064Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.569703Z","title":null,"venue":null,"work_id":"759bd998-2c31-4d2c-88d5-155d39944ec2","year":1909},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.077303Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:93b0f346ab8e42821f2ba5aa899b98724d300ab0328b9648e837f24e603ff565","observation_id":"ba933a33-3b3d-4b52-b588-b2d5b30ef651","resolution":{"observed_at":"2026-08-12T12:57:22.576613Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.544441Z","title":"G.: Periodically correlated processes and their stationary dilations","venue":null,"work_id":"656e50a6-a6aa-4b77-aa42-5d325791049a","year":1990},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.084035Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:1d5a6630263a1e5291336a5d8b868a3b2e3d29797ba041fafca73f6d2be18503","observation_id":"28ec860c-97ec-4fcc-901c-d27d54d08275","resolution":{"observed_at":"2026-08-12T12:57:22.552518Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.515335Z","title":"G., Salehi H.: On the prediction of periodically correlated stochastic processes","venue":null,"work_id":"7b85c0dc-a95a-433e-8620-12eda52ab56e","year":1980},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.091198Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:447096d8ac0b94aaf839a9bcb8b26583719cb6952ea90be80ae4b20ab467382b","observation_id":"f4956c36-c5f6-4345-9f77-ed29534f4eda","resolution":{"observed_at":"2026-08-12T12:57:22.526004Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.496314Z","title":"Springer, Berlin, 1970","venue":null,"work_id":"67f58c7a-e25f-4fba-aea0-92b3f6056249","year":1970},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.098137Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:95aa736e427679e0db643d2d156d2c3b667a4cad42557fd42d1998d5e921c404","observation_id":"b87f0d2d-a2bd-4e04-b473-81eee5d763e1","resolution":{"observed_at":"2026-08-12T12:57:22.501928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.469653Z","title":"Memoirs Amer","venue":null,"work_id":"7c3c21cd-5b3a-416b-b2f3-e1b87f2f00b8","year":1979},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.102533Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:8093b2be2062577a3243c14459ff71db8c399dbd29557561c86ebbd52eb86ebd","observation_id":"967d835e-1e35-4b8b-ba0a-137d8fa1cd08","resolution":{"observed_at":"2026-08-12T12:57:22.477090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.444203Z","title":null,"venue":null,"work_id":"2e3fd00c-1097-41b0-ba15-79f132ae50ef","year":1975},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.106409Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:67828660d85094e07e5e217fb1527cf57240e204f24fd548161dee317cd6fc2a","observation_id":"bf5ef5ce-44fa-4fc0-aa53-7ae5355f47f6","resolution":{"observed_at":"2026-08-12T12:57:22.453661Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.406440Z","title":null,"venue":null,"work_id":"e2c99ff5-d655-442d-ab2d-5841801a41ca","year":1975},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.109900Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:277582b665dab8fb886cb4cda94584a593df6f8257dc2a709bb94dc0db8bf4ee","observation_id":"61b23a49-0932-4aca-b98f-7ba709cf379f","resolution":{"observed_at":"2026-08-12T12:57:22.421557Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.374040Z","title":"AMS-IMS-SIAM Joint summer research conference on fast algorithms in mathematics, computer science and engineering, 2001","venue":null,"work_id":"66ce8e5c-5777-40c1-9bb2-a122ef0121d9","year":2001},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.117420Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:80b73d09e07add312bc8e0774fb5f31ae17dbc6bb41a94291daed4947fd8e83e","observation_id":"b20b58b3-9bdd-426d-8ffa-9d4c6f1fce83","resolution":{"observed_at":"2026-08-12T12:57:22.380208Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.341712Z","title":"Y.: Structured Matrices and Polynomials","venue":null,"work_id":"96f301d6-f32f-43d2-8edf-1c6d9da02f59","year":2001},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.123154Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:83998add54f885e5ecc390aa08ea06f666450684839887f8a57c11fabe0d6708","observation_id":"fa81c70e-beb9-47de-aca5-bbe7b0dd089e","resolution":{"observed_at":"2026-08-12T12:57:22.353478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.317051Z","title":"Lecture Notes in Mathematics 272, 1972","venue":null,"work_id":"0259c11d-7cb2-4f10-b9f2-66ec419911e2","year":1972},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.127814Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:733a5041284a697e440b0aed66d5d20d4545cff4962f29197a25a39a8e9728ae","observation_id":"4327d203-4b6d-4240-bbd3-d1bc45dfc69c","resolution":{"observed_at":"2026-08-12T12:57:22.323281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.289841Z","title":null,"venue":null,"work_id":"69a4dd2d-3050-47e7-a973-0bc3c1e82ef9","year":1962},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.136604Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:b58632424323c3d83b27c0858c3ba54bb8c8e492c5bd74de292c6aaa01d3009b","observation_id":"40f14e1e-5dbf-46d1-b0ff-850bd1095b4a","resolution":{"observed_at":"2026-08-12T12:57:22.297837Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.241856Z","title":"Academic Press, New York, 1988","venue":null,"work_id":"77545213-456e-4f80-8827-cf34f5fa1564","year":1988},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.151454Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:fff6696e03578d56f102aae48c1de7ee0196e01ed58f5f2318ea80536888e7fb","observation_id":"64b6d6ea-07e3-422d-a291-180f42547d0b","resolution":{"observed_at":"2026-08-12T12:57:22.253278Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.216566Z","title":"Wiley, New York, 1986","venue":null,"work_id":"a65d062b-bfb5-44f3-97c6-d8a5608aa04d","year":1986},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.159432Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:342166c2e1a2539ac88c5bd86a7ab8c1bde66b1087113e1bce2eb0b8657c2705","observation_id":"df125710-90e5-4a5f-8ee2-32ef35cb30bc","resolution":{"observed_at":"2026-08-12T12:57:22.221982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.197480Z","title":"In: Lecture Notes in Math","venue":null,"work_id":"35c4c48a-c067-486e-be74-db4180051cef","year":1989},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.170539Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:ae3e33a80af0e99bababf932bf3041810dac531efa6966587d1d12655843334c","observation_id":"ba12795b-d88f-4cdd-b37a-7e912efdacdd","resolution":{"observed_at":"2026-08-12T12:57:22.203091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.168875Z","title":"L’Enseign","venue":null,"work_id":"47d4615b-5344-4fde-8b3f-34471592aa92","year":1982},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.176571Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:9ac2a5df992f586aa03fd9c0dfc8597a1273df12573555dcd2fd98dad1a83f72","observation_id":"05518736-e192-4084-86fb-27e4d0b723ee","resolution":{"observed_at":"2026-08-12T12:57:22.175331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.143142Z","title":"in: Statistical Data Analysis and Inference, North-Holland, Amsterdam, pp","venue":null,"work_id":"7d13d6ec-34bb-40cb-bc48-71762692f036","year":1989},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.184243Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:6fa9aab23fab5295c2a2eeab79ed6b6d75cfeb7a32155201f8fa2e6c3351abaf","observation_id":"e89d64a5-1a91-48c6-a49d-584c3fc45a58","resolution":{"observed_at":"2026-08-12T12:57:22.149347Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.118914Z","title":"VEB Deutscher Verlag der Wissenschaften, Berlin, 1956","venue":null,"work_id":"532c351d-94c7-4fd6-89fe-1d111ea61f4f","year":1956},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.192248Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:a0d83e96deb7cc0fc694605ecadbc6fdda91b5be29b42a6909c10060a8a8c850","observation_id":"4139b1da-5178-4df2-af8f-17f8c44745bf","resolution":{"observed_at":"2026-08-12T12:57:22.126849Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.069415Z","title":"manuscripta math","venue":null,"work_id":"13991f31-0aaa-4bac-a522-a57d338d8da4","year":1995},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.200563Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:6977db566fa7ce47fb5c67712e7f0924d261182e4ccbfaa2118386541a209013","observation_id":"f030f2d9-4b7f-4466-95f6-afdabee2045d","resolution":{"observed_at":"2026-08-12T12:57:22.082191Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.031606Z","title":"Uspekhi Mat","venue":null,"work_id":"06b664bd-193a-48d4-86ca-05737b4f707f","year":1958},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.207901Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:ecda00d4c898dc468de1ab843e5a79fd878b6d8b00c0c4db6fe04637d0aa8976","observation_id":"fc40c84c-e5df-4863-8b0c-65b98e4f2dae","resolution":{"observed_at":"2026-08-12T12:57:22.036104Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:22.006452Z","title":"Birkh¨ auser, Boston, 1985","venue":null,"work_id":"5aa112e3-8343-4757-b18c-d3e08ef7033f","year":1985},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.215231Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:6a0ab4ea3de26869aafddc174e47da180d67bf303d052be847da96b470a338fb","observation_id":"17bff759-9e7f-4423-a76d-05f6c99ea420","resolution":{"observed_at":"2026-08-12T12:57:22.015421Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.978625Z","title":null,"venue":null,"work_id":"444c13de-d5fd-4ef0-8bf6-7acfcfdcefd1","year":1959},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.220374Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:a84e669cbbf2d9fb5e23752b6d7bc801a9080a0e63e568cfa84fd34c9f4f2dd5","observation_id":"2de12514-e97c-43d4-888d-5182cb3ef03f","resolution":{"observed_at":"2026-08-12T12:57:21.986933Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.955197Z","title":"Third edition","venue":null,"work_id":"df314db2-fa00-4e45-91f2-31c45382f151","year":1983},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.228926Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:a15c780e0bd9f291f5f7ec564b0f28665d7d71c192e28295a9012ea2c1916cc0","observation_id":"2e048c8b-038b-4b37-baf9-e41f845186ee","resolution":{"observed_at":"2026-08-12T12:57:21.960514Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.930309Z","title":"Akademie Verlag, Berlin, 1994","venue":null,"work_id":"acbccd63-67c7-44f7-848d-062205405343","year":1994},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.232866Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:815ad54aed862e472fa540cfa6e4e07ba8d53ce17b0b92666755d569b17e8871","observation_id":"9160091f-0828-466f-a119-7e87e6d403f7","resolution":{"observed_at":"2026-08-12T12:57:21.938051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.903753Z","title":"Stochastic Pro- cesses and Functional Analysis","venue":null,"work_id":"f4086e36-7189-4cfe-944d-56c072075b63","year":2004},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.236572Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:fd2d91ef51b4821a4087500b87ceead906962f5520d271dc7e0aca6971de175d","observation_id":"dc70b9a6-a0c2-4275-97d3-96af30b1e3b1","resolution":{"observed_at":"2026-08-12T12:57:21.909147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.879440Z","title":"Stochastic Analysis and Appl","venue":null,"work_id":"0ff16592-8a41-493a-83c8-3dfbe2524554","year":2004},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.241792Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:cc7e5976c0f1827469b1a58a266fcd879b37fbf8a8686617609548183b6ac521","observation_id":"36be7030-6f8a-4023-a07d-299870ce6dfe","resolution":{"observed_at":"2026-08-12T12:57:21.887479Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.833069Z","title":null,"venue":null,"work_id":"8e7a7367-8dde-4145-ab7b-20e9e0ceaa51","year":1917},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.249751Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:ef19ca36ef9cdde6e2e1e579bf6426587a0884f981896ac12fa4034d1050c5bf","observation_id":"a51665cd-77cf-4df8-b52c-dc2012f32e1a","resolution":{"observed_at":"2026-08-12T12:57:21.840665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+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":"2026-08-12T12:57:21.800255Z","title":null,"venue":null,"work_id":"c81462da-aa8a-491b-8353-390d66e96fd3","year":null},"citing_paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-12T12:57:21.255434Z"},"links":{"citing_paper":"/paper/2411.16864"},"observation_digest":"sha256:61f31cdad6ce7a10235c1e2bc3ce1db4f03325df6648252afbf642ddaba8e340","observation_id":"8923197e-71aa-4fae-876b-433fb6d9fd00","resolution":{"observed_at":"2026-08-12T12:57:21.810130Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.16864","last_updated":"2024-11-25T19:02:01Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-12T12:45:43.317672Z","submitted_at":"2024-11-25T19:02:01Z","title":"Positive Definite Kernels and Random Sequences Connected to Polynomial Hypergroups"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":0,"verified_fuzzy":36},"total_outbound_references":114},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 100 of 114 outbound references and 0 inbound Pith citation observations for arXiv:2411.16864."}