{"as_of":"2026-08-20T13:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0e06601e5c9799676561692ed02964e2337f90798ad2f5929d2694dedd104243","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":"2026-08-20T06:33:59.587034+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":"2026-08-10T23:08:15.107177Z","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":"2026-05-24T09:39:17.202421Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2003.09573","last_updated":"2020-03-21T04:08:12Z","snapshot_observed_at":"2026-08-20T10:19:54.046463Z","submitted_at":"2020-03-21T04:08:12Z","title":"Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method","version":1},"cited_work":{"arxiv_id":"2003.09573","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2003.09573","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method","venue":null,"work_id":"55b6dd0d-333e-44de-8c45-a4a3d504dbfb","year":2003},"citing_paper":{"arxiv_id":"2302.03286","last_updated":"2026-04-30T14:16:45Z","snapshot_observed_at":"2026-08-16T10:41:29.271918Z","submitted_at":"2023-02-07T06:39:20Z","title":"Algorithmically Designed Artificial Neural Networks (ADANNs): Higher order deep operator learning for parametric partial differential equations","version":3},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-05-24T09:36:59.102360Z"},"links":{"cited_paper":"/paper/2003.09573","citing_paper":"/paper/2302.03286"},"observation_digest":"sha256:d527122ad39bbd1859e83bc376f71de18b37c5daf2fb16ca3927f7256079933d","observation_id":"75b35a7d-462c-4c1d-8b99-23b3c26e46aa","resolution":{"observed_at":"2026-05-24T09:39:17.205903Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2003.09573","last_updated":"2020-03-21T04:08:12Z","snapshot_observed_at":"2026-08-20T10:19:54.046463Z","submitted_at":"2020-03-21T04:08:12Z","title":"Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2003.09573","snapshot_observed_at":"2026-08-10T23:08:15.107177Z","title":"Deep euler method: solving odes by approx- imating the local truncation error of the euler method","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.21049","last_updated":"2024-12-30T16:08:12Z","snapshot_observed_at":"2026-08-18T01:15:49.688870Z","submitted_at":"2024-12-30T16:08:12Z","title":"Learning Epidemiological Dynamics via the Finite Expression Method","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T23:08:15.107177Z"},"links":{"cited_paper":"/paper/2003.09573","citing_paper":"/paper/2412.21049"},"observation_digest":"sha256:b9c331a86302da37238bf2de140b64058e02642cbb933c60c667b79911de0863","observation_id":"134f21dc-b06f-4f8e-8505-a92e4a378ce3","resolution":{"observed_at":"2026-08-10T23:08:15.107177Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2003.09573/citation-record","integrity":"/paper/2003.09573/integrity","json":"/paper/2003.09573/citation-record.json","paper":"/paper/2003.09573"},"outbound":[],"paper":{"arxiv_id":"2003.09573","last_updated":"2020-03-21T04:08:12Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-20T10:19:54.046463Z","submitted_at":"2020-03-21T04:08:12Z","title":"Deep Euler method: solving ODEs by approximating the local truncation error of the Euler method"},"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":"2026-08-20T06:33:59.587034+00:00","source":"crossref"},{"observed_at":"2026-08-20T06:33:54.927442+00:00","source":"retraction_watch"}],"thesis":"As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2003.09573."}