{"as_of":"2026-08-22T08:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7f03509983cffe4bea83a28e011c8ce80bc642d892422f01f74e9e96184adff9","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":"2026-08-22T06:32:14.747728+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":"2026-08-11T10:23:14.383538Z","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":"2026-07-03T01:47:31.761392Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2410.08451","last_updated":"2024-10-11T01:43:14Z","snapshot_observed_at":"2026-08-16T13:10:29.773976Z","submitted_at":"2024-10-11T01:43:14Z","title":"The Proof of Kolmogorov-Arnold May Illuminate Neural Network Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.08451","snapshot_observed_at":"2026-08-11T10:23:14.383538Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.16738","last_updated":"2024-12-21T19:01:38Z","snapshot_observed_at":"2026-08-13T00:26:49.327599Z","submitted_at":"2024-12-21T19:01:38Z","title":"KKANs: Kurkova-Kolmogorov-Arnold Networks and Their Learning Dynamics","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-11T10:23:14.383538Z"},"links":{"cited_paper":"/paper/2410.08451","citing_paper":"/paper/2412.16738"},"observation_digest":"sha256:2f0779590fed68008331874b73098599044b71a2fe033db549778ccde46f229f","observation_id":"0d93f6a9-4ed5-4366-bffe-eda3e952fb61","resolution":{"observed_at":"2026-08-11T10:23:14.383538Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.08451","last_updated":"2024-10-11T01:43:14Z","snapshot_observed_at":"2026-08-16T13:10:29.773976Z","submitted_at":"2024-10-11T01:43:14Z","title":"The Proof of Kolmogorov-Arnold May Illuminate Neural Network Learning","version":1},"cited_work":{"arxiv_id":"2410.08451","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.08451","snapshot_observed_at":"2026-07-03T01:47:31.761392Z","title":"The proof of Kolmogorov-Arnold May Illuminate Neural Network Learning","venue":null,"work_id":"bba6124e-22bc-416c-bac1-cd6f1269b6de","year":2024},"citing_paper":{"arxiv_id":"2606.09584","last_updated":"2026-06-08T14:57:41Z","snapshot_observed_at":"2026-08-10T20:28:01.332023Z","submitted_at":"2026-06-08T14:57:41Z","title":"Algebraic Kolmogorov--Arnold representation theorem for quantum measurement","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T16:17:07.299010Z"},"links":{"cited_paper":"/paper/2410.08451","citing_paper":"/paper/2606.09584"},"observation_digest":"sha256:86c034a3d8441913c39fe7c49873b30542e70216e65cd47084a8098c158100f7","observation_id":"b95b6671-19e5-411a-8c11-ac781d8cf448","resolution":{"observed_at":"2026-07-03T01:47:31.762934Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2410.08451/citation-record","integrity":"/paper/2410.08451/integrity","json":"/paper/2410.08451/citation-record.json","paper":"/paper/2410.08451"},"outbound":[],"paper":{"arxiv_id":"2410.08451","last_updated":"2024-10-11T01:43:14Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-16T13:10:29.773976Z","submitted_at":"2024-10-11T01:43:14Z","title":"The Proof of Kolmogorov-Arnold May Illuminate Neural Network 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":"2026-08-22T06:32:14.747728+00:00","source":"crossref"},{"observed_at":"2026-08-22T06:32:06.552537+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2410.08451."}