{"as_of":"2026-08-11T03:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ffd60c32d800cf5ab8575d16922ec62c1edd6eee142304b2b6a557b3751ed5f3","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T11:42:11.260394Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-05-24T05:06:00.395036Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1608.05639","last_updated":"2016-08-19T15:34:43Z","snapshot_observed_at":"2026-07-06T05:07:33.086117Z","submitted_at":"2016-08-19T15:34:43Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning","version":1},"cited_work":{"arxiv_id":"1608.05639","doi":null,"metadata_source":"pith","pith_arxiv_id":"1608.05639","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning","venue":"cs.LG","work_id":"e1476b6c-de41-4c31-854f-eb2f23ffe1f5","year":2016},"citing_paper":{"arxiv_id":"2312.08410","last_updated":"2026-04-27T14:17:09Z","snapshot_observed_at":"2026-07-06T17:01:18.018700Z","submitted_at":"2023-12-13T11:27:15Z","title":"Universal approximation property of Banach space-valued random feature models including random neural networks","version":5},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-24T05:05:09.364176Z"},"links":{"cited_paper":"/paper/1608.05639","citing_paper":"/paper/2312.08410"},"observation_digest":"sha256:bc374a8d7bc82a751d10120f100225b5ae53129adf9baa3e4e37c791816e00ad","observation_id":"a2e3c4e1-745b-4103-a44b-5c798ddd975b","resolution":{"observed_at":"2026-05-24T05:06:00.398627Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05639","last_updated":"2016-08-19T15:34:43Z","snapshot_observed_at":"2026-07-06T05:07:33.086117Z","submitted_at":"2016-08-19T15:34:43Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning","version":1},"cited_work":{"arxiv_id":"1608.05639","doi":null,"metadata_source":"pith","pith_arxiv_id":"1608.05639","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning","venue":"cs.LG","work_id":"e1476b6c-de41-4c31-854f-eb2f23ffe1f5","year":2016},"citing_paper":{"arxiv_id":"2605.18276","last_updated":"2026-05-18T12:10:35Z","snapshot_observed_at":"2026-07-06T23:29:09.538843Z","submitted_at":"2026-05-18T12:10:35Z","title":"Geometric Dictionary Learning of Dynamical Systems with Optimal Transport","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-20T00:20:30.783867Z"},"links":{"cited_paper":"/paper/1608.05639","citing_paper":"/paper/2605.18276"},"observation_digest":"sha256:83524d80dbf650f664f7ffed681be0d246cbe39abe76479be97e2348a19fd0a8","observation_id":"8c08a6c9-6869-48a5-903a-a3c0abc8b5bb","resolution":{"observed_at":"2026-05-20T00:22:53.828977Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05639","last_updated":"2016-08-19T15:34:43Z","snapshot_observed_at":"2026-07-06T05:07:33.086117Z","submitted_at":"2016-08-19T15:34:43Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.05639","snapshot_observed_at":"2026-08-02T11:42:11.260394Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.13842","last_updated":"2026-07-24T14:43:18Z","snapshot_observed_at":"2026-08-06T20:36:06.414544Z","submitted_at":"2026-06-11T19:16:02Z","title":"Efficient Domain-Adaptive Policy Learning via Kernel Representation with Application to Quadrotor Control under Non-Stationary Disturbances","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T11:42:11.260394Z"},"links":{"cited_paper":"/paper/1608.05639","citing_paper":"/paper/2606.13842"},"observation_digest":"sha256:7476e46ee109fdcb0b4abb115a84d8bf811f60f268d8ee9855018f234d1a5ab6","observation_id":"298b529a-669d-4adb-8793-2ddff3960d77","resolution":{"observed_at":"2026-08-02T11:42:11.260394Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05639","last_updated":"2016-08-19T15:34:43Z","snapshot_observed_at":"2026-07-06T05:07:33.086117Z","submitted_at":"2016-08-19T15:34:43Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.05639","snapshot_observed_at":"2026-08-01T17:24:22.494806Z","title":"arXiv preprint arXiv:1608.05639 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.26370","last_updated":"2026-07-29T01:07:28Z","snapshot_observed_at":"2026-08-07T06:07:13.986442Z","submitted_at":"2026-07-29T01:07:28Z","title":"Self-Adaptive Learning and Model Predictive Control for Tracking Unknown Dynamics with No Regret","version":1},"reference_index":168,"source":"arxiv_source","source_observed_at":"2026-08-01T17:24:22.494806Z"},"links":{"cited_paper":"/paper/1608.05639","citing_paper":"/paper/2607.26370"},"observation_digest":"sha256:2faefd082dee93447f367fc218f24548358c00ce41e7e5ba240b275fc7ab5695","observation_id":"e84e207d-68a5-41e9-8de4-b3e2cb72ae68","resolution":{"observed_at":"2026-08-01T17:24:22.494806Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1608.05639/citation-record","integrity":"/paper/1608.05639/integrity","json":"/paper/1608.05639/citation-record.json","paper":"/paper/1608.05639"},"outbound":[],"paper":{"arxiv_id":"1608.05639","last_updated":"2016-08-19T15:34:43Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T05:07:33.086117Z","submitted_at":"2016-08-19T15:34:43Z","title":"Operator-Valued Bochner Theorem, Fourier Feature Maps for Operator-Valued Kernels, and Vector-Valued Learning"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1608.05639."}