{"as_of":"2026-08-11T10:35:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:fa6d268d3c7754ec9df0ff164724e09ea7855f94162f3339bf513a11451907b4","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":1,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":1,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T06:52:12.821942Z","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":"2026-05-24T06:54:03.222914Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2103.05744","last_updated":"2021-03-09T22:34:13Z","snapshot_observed_at":"2026-08-11T03:35:57.528946Z","submitted_at":"2021-03-09T22:34:13Z","title":"Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations","version":1},"cited_work":{"arxiv_id":"2103.05744","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2103.05744","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Deep neural network approximation for high- dimensional parabolic Hamilton–Jacobi–Bellman equations.arXiv:2103.05744 (2021), 23 pages","venue":null,"work_id":"ad42789d-8da5-48b5-bb10-db43e84b896c","year":2021},"citing_paper":{"arxiv_id":"2309.13722","last_updated":"2026-04-28T23:18:52Z","snapshot_observed_at":"2026-07-06T16:22:58.752949Z","submitted_at":"2023-09-24T18:58:18Z","title":"Deep neural networks with ReLU, leaky ReLU, and softplus activation provably overcome the curse of dimensionality for Kolmogorov partial differential equations with Lipschitz nonlinearities in the $L^p$-sense","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-24T06:52:12.821942Z"},"links":{"cited_paper":"/paper/2103.05744","citing_paper":"/paper/2309.13722"},"observation_digest":"sha256:1609a6177a78b03ae0db68d5cea397a611d8038617cb1589f2e36860fa161abe","observation_id":"732bee12-2590-4455-8720-96586c9a40c6","resolution":{"observed_at":"2026-05-24T06:54:03.226439Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2103.05744/citation-record","integrity":"/paper/2103.05744/integrity","json":"/paper/2103.05744/citation-record.json","paper":"/paper/2103.05744"},"outbound":[],"paper":{"arxiv_id":"2103.05744","last_updated":"2021-03-09T22:34:13Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-11T03:35:57.528946Z","submitted_at":"2021-03-09T22:34:13Z","title":"Deep neural network approximation for high-dimensional parabolic Hamilton-Jacobi-Bellman equations"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2103.05744."}