{"as_of":"2026-08-17T08:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d596bcbbb37abcfa6d4922578c77990df4fb4b5510ed61b2bd03faa7b864d375","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T15:14:01.604888Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-05-11T05:41:00.028887Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2010.01458","last_updated":"2020-10-04T01:15:30Z","snapshot_observed_at":"2026-08-17T04:35:28.723661Z","submitted_at":"2020-10-04T01:15:30Z","title":"The Finite Neuron Method and Convergence Analysis","version":1},"cited_work":{"arxiv_id":"2010.01458","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.01458","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Xu , The finite neuron method and convergence analysis , arXiv preprint arXiv:2010.01458, (2020)","venue":null,"work_id":"14e55341-0814-46f4-b4dc-aafa80ec91be","year":2010},"citing_paper":{"arxiv_id":"2604.08869","last_updated":"2026-04-10T02:07:07Z","snapshot_observed_at":"2026-08-15T08:02:53.676239Z","submitted_at":"2026-04-10T02:07:07Z","title":"Adaptive Randomized Neural Networks with Locally Activation Function: Theory and Algorithm for Solving PDEs","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-10T18:00:14.153569Z"},"links":{"cited_paper":"/paper/2010.01458","citing_paper":"/paper/2604.08869"},"observation_digest":"sha256:5e038d51e8b05a95b298744074dc48042dbeae5971872fded3779b5be4530dc3","observation_id":"f768e5f9-2c15-4d52-b483-f70b9d8757c4","resolution":{"observed_at":"2026-05-11T05:41:00.032598Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.01458","last_updated":"2020-10-04T01:15:30Z","snapshot_observed_at":"2026-08-17T04:35:28.723661Z","submitted_at":"2020-10-04T01:15:30Z","title":"The Finite Neuron Method and Convergence Analysis","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.01458","snapshot_observed_at":"2026-08-15T15:14:01.604888Z","title":"Xu, The finite neuron method and convergence analysis,arXiv preprint arXiv:2010.01458, 2020","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2608.01357","last_updated":"2026-08-02T16:20:19Z","snapshot_observed_at":"2026-08-16T08:43:07.541073Z","submitted_at":"2026-08-02T16:20:19Z","title":"Do Neural Networks Really Beat the Curse of Dimensionality? A Bit-Complexity View","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-15T15:14:01.604888Z"},"links":{"cited_paper":"/paper/2010.01458","citing_paper":"/paper/2608.01357"},"observation_digest":"sha256:0b674246f933e0608b5a5447e5388bd1a923ac4552b9c94cdab57dc23220fb21","observation_id":"34ac7f0c-acf1-4871-ac39-e4d3abd7e083","resolution":{"observed_at":"2026-08-15T15:14:01.604888Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2010.01458/citation-record","integrity":"/paper/2010.01458/integrity","json":"/paper/2010.01458/citation-record.json","paper":"/paper/2010.01458"},"outbound":[],"paper":{"arxiv_id":"2010.01458","last_updated":"2020-10-04T01:15:30Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-17T04:35:28.723661Z","submitted_at":"2020-10-04T01:15:30Z","title":"The Finite Neuron Method and Convergence Analysis"},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2010.01458."}