{"as_of":"2026-08-21T16:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8c0724ade1cb4b310d6c16e0b6129567df094a58c7207ef983cebd4e3d9a133d","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T18:41:00.703270Z","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":"2026-05-13T23:28:26.160754Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2009.06132","last_updated":"2020-09-14T01:15:11Z","snapshot_observed_at":"2026-08-18T17:15:40.099803Z","submitted_at":"2020-09-14T01:15:11Z","title":"Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.06132","snapshot_observed_at":"2026-08-11T18:41:00.703270Z","title":"Complexity measures fo r neural networks with general activation functions using path-based norms","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2412.07728","last_updated":"2024-12-10T18:24:46Z","snapshot_observed_at":"2026-08-17T03:39:35.518951Z","submitted_at":"2024-12-10T18:24:46Z","title":"Solving the Poisson Equation with Dirichlet data by shallow ReLU$^\\alpha$-networks: A regularity and approximation perspective","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T18:41:00.703270Z"},"links":{"cited_paper":"/paper/2009.06132","citing_paper":"/paper/2412.07728"},"observation_digest":"sha256:c89f2711f5c63346cf95b6dc2d4b1b85f215166a816218a972b043fc7e3c1a3e","observation_id":"d5b63b37-d7e9-4890-af21-567afea6a4bf","resolution":{"observed_at":"2026-08-11T18:41:00.703270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.06132","last_updated":"2020-09-14T01:15:11Z","snapshot_observed_at":"2026-08-18T17:15:40.099803Z","submitted_at":"2020-09-14T01:15:11Z","title":"Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms","version":1},"cited_work":{"arxiv_id":"2009.06132","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2009.06132","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"86deab74-1e40-4ffb-99a2-c47c8c2ca151","year":2009},"citing_paper":{"arxiv_id":"2604.00505","last_updated":"2026-04-22T14:38:04Z","snapshot_observed_at":"2026-08-17T20:03:42.629672Z","submitted_at":"2026-04-01T05:42:40Z","title":"Towards Initialization-dependent and Non-vacuous Generalization Bounds for Overparameterized Shallow Neural Networks","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-13T23:26:33.945663Z"},"links":{"cited_paper":"/paper/2009.06132","citing_paper":"/paper/2604.00505"},"observation_digest":"sha256:4a53f6f9609eee92fba47ea172ac51f72051ceeb4d9156311486309b2e0b4395","observation_id":"eab1a543-7252-4a8a-9135-dea6802d176e","resolution":{"observed_at":"2026-05-13T23:28:26.165583Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2009.06132","last_updated":"2020-09-14T01:15:11Z","snapshot_observed_at":"2026-08-18T17:15:40.099803Z","submitted_at":"2020-09-14T01:15:11Z","title":"Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.06132","snapshot_observed_at":"2026-07-31T01:28:51.311702Z","title":"Complexity measures for neural networks with general activation functions using path-based norms.arXiv preprint arXiv:2009.06132,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2607.25100","last_updated":"2026-07-27T21:58:13Z","snapshot_observed_at":"2026-08-13T03:01:27.628936Z","submitted_at":"2026-07-27T21:58:13Z","title":"Elliptic Regularity Theory in Barron Spaces and Applications to the Deep Ritz Method","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-31T01:28:51.311702Z"},"links":{"cited_paper":"/paper/2009.06132","citing_paper":"/paper/2607.25100"},"observation_digest":"sha256:1864ba1d2e61853e87f487b3c29dcd5e4e329d4a20b98a327c27a1f641b7e323","observation_id":"aad5e193-a9a1-4d59-9007-673b87f4908d","resolution":{"observed_at":"2026-07-31T01:28:51.311702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2009.06132/citation-record","integrity":"/paper/2009.06132/integrity","json":"/paper/2009.06132/citation-record.json","paper":"/paper/2009.06132"},"outbound":[],"paper":{"arxiv_id":"2009.06132","last_updated":"2020-09-14T01:15:11Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-18T17:15:40.099803Z","submitted_at":"2020-09-14T01:15:11Z","title":"Complexity Measures for Neural Networks with General Activation Functions Using Path-based Norms"},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2009.06132."}