{"as_of":"2026-08-16T13:36:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:059fcda688f0b12908efac26de3bc330a27282b8f51fdd07759a5d120a8ba77d","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":"2026-08-16T06:30:59.297886+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":"2026-08-14T14:10:00.015724Z","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":"2026-05-24T12:39:29.007865Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1903.06652","last_updated":"2020-05-13T11:06:33Z","snapshot_observed_at":"2026-08-14T17:01:37.894482Z","submitted_at":"2019-03-15T16:42:52Z","title":"Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.06652","snapshot_observed_at":"2026-08-14T14:10:00.015724Z","title":"Rectiﬁed deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-s um games of nonlinear stiﬀ systems","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.03833","last_updated":"2019-08-11T00:40:43Z","snapshot_observed_at":"2026-08-15T03:21:22.751656Z","submitted_at":"2019-08-11T00:40:43Z","title":"Space-time error estimates for deep neural network approximations for differential equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T14:10:00.015724Z"},"links":{"cited_paper":"/paper/1903.06652","citing_paper":"/paper/1908.03833"},"observation_digest":"sha256:f85f66a2d0295d54ca8ca56a60a3947ff87c25a6adb2c54b8fba0d7af8f0c0cc","observation_id":"64c46afe-3e9c-44ac-8824-ea715c91c775","resolution":{"observed_at":"2026-08-14T14:10:00.015724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.06652","last_updated":"2020-05-13T11:06:33Z","snapshot_observed_at":"2026-08-14T17:01:37.894482Z","submitted_at":"2019-03-15T16:42:52Z","title":"Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.06652","snapshot_observed_at":"2026-08-14T10:39:29.649643Z","title":"Rectiﬁed deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-s um games of nonlinear stiﬀ systems","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.10828","last_updated":"2019-08-28T16:57:17Z","snapshot_observed_at":"2026-08-15T13:57:47.042911Z","submitted_at":"2019-08-28T16:57:17Z","title":"Deep neural network approximations for Monte Carlo algorithms","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T10:39:29.649643Z"},"links":{"cited_paper":"/paper/1903.06652","citing_paper":"/paper/1908.10828"},"observation_digest":"sha256:b0114b78c0126effe27563c389a0137f6f7fb0970ff0b09d0f8e85cb0069464f","observation_id":"bd7bc629-6375-4edd-a90d-420f76985367","resolution":{"observed_at":"2026-08-14T10:39:29.649643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.06652","last_updated":"2020-05-13T11:06:33Z","snapshot_observed_at":"2026-08-14T17:01:37.894482Z","submitted_at":"2019-03-15T16:42:52Z","title":"Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems","version":2},"cited_work":{"arxiv_id":"1903.06652","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1903.06652","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Rectiﬁed deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games o f nonlinear stiﬀ systems","venue":null,"work_id":"eb78cb96-0772-4d69-8ce5-93004963dc2d","year":1903},"citing_paper":{"arxiv_id":"2112.14523","last_updated":"2026-04-28T23:07:38Z","snapshot_observed_at":"2026-08-16T07:55:00.690393Z","submitted_at":"2021-12-29T12:29:23Z","title":"Deep neural network approximation theory for high-dimensional functions","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-05-24T12:37:24.021894Z"},"links":{"cited_paper":"/paper/1903.06652","citing_paper":"/paper/2112.14523"},"observation_digest":"sha256:36c60967e812193326c032701b56e8f23446f67b66ae3455dab93953eb2ddfd2","observation_id":"799a36a7-95d9-414f-9d73-742d3058f3d1","resolution":{"observed_at":"2026-05-24T12:39:29.011335Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/1903.06652/citation-record","integrity":"/paper/1903.06652/integrity","json":"/paper/1903.06652/citation-record.json","paper":"/paper/1903.06652"},"outbound":[],"paper":{"arxiv_id":"1903.06652","last_updated":"2020-05-13T11:06:33Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-14T17:01:37.894482Z","submitted_at":"2019-03-15T16:42:52Z","title":"Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1903.06652."}