{"as_of":"2026-08-16T05:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:0ce78626217aee313905659b51ea2e7d5a6b67d784206c1786f4c7f572454db0","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":"2026-08-15T06:32:42.880941+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":"2026-08-12T11:36:52.819962Z","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":"2026-07-03T00:37:29.474267Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2401.04982","last_updated":"2024-01-10T07:57:51Z","snapshot_observed_at":"2026-08-14T14:29:20.221707Z","submitted_at":"2024-01-10T07:57:51Z","title":"Lax pairs informed neural networks solving integrable systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04982","snapshot_observed_at":"2026-08-12T11:36:52.819962Z","title":"Lax pairs informed neural networks solving integrable systems, January 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.00088","last_updated":"2025-01-13T01:43:15Z","snapshot_observed_at":"2026-08-14T13:23:14.669418Z","submitted_at":"2024-11-27T09:37:33Z","title":"Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T11:36:52.819962Z"},"links":{"cited_paper":"/paper/2401.04982","citing_paper":"/paper/2412.00088"},"observation_digest":"sha256:88bd0c8e9bb30ef661c9f7eddda5029d8b378e0d0066624f4deeea8e5b484533","observation_id":"b8d3a40f-934c-48b1-a549-c792f9660da2","resolution":{"observed_at":"2026-08-12T11:36:52.819962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04982","last_updated":"2024-01-10T07:57:51Z","snapshot_observed_at":"2026-08-14T14:29:20.221707Z","submitted_at":"2024-01-10T07:57:51Z","title":"Lax pairs informed neural networks solving integrable systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.04982","snapshot_observed_at":"2026-08-02T17:36:27.126918Z","title":"arXiv:2401.04982 [nlin]","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.24002","last_updated":"2026-08-12T07:43:03Z","snapshot_observed_at":"2026-08-15T23:09:21.308165Z","submitted_at":"2026-03-25T07:02:34Z","title":"Stochastic Dimension Zeroth-Order Estimator: Stable and Memory-Efficient Training of PINNs","version":3},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-02T17:36:27.126918Z"},"links":{"cited_paper":"/paper/2401.04982","citing_paper":"/paper/2603.24002"},"observation_digest":"sha256:b1e9f2df9a7400b21e226c54010ec7375eb83b508789e9bfc94c59a93421deb5","observation_id":"f239b9be-28b2-4447-a962-5cea1a58dac9","resolution":{"observed_at":"2026-08-02T17:36:27.126918Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.04982","last_updated":"2024-01-10T07:57:51Z","snapshot_observed_at":"2026-08-14T14:29:20.221707Z","submitted_at":"2024-01-10T07:57:51Z","title":"Lax pairs informed neural networks solving integrable systems","version":1},"cited_work":{"arxiv_id":"2401.04982","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2401.04982","snapshot_observed_at":"2026-07-03T00:37:29.474267Z","title":"Pu and Y","venue":null,"work_id":"155f4774-f80a-4427-bb8b-692420771743","year":2024},"citing_paper":{"arxiv_id":"2607.01493","last_updated":"2026-07-01T21:43:13Z","snapshot_observed_at":"2026-08-11T21:24:28.299913Z","submitted_at":"2026-07-01T21:43:13Z","title":"Learning Lax Pairs: Revisiting the Classical Paradigm","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-07-03T00:34:16.312270Z"},"links":{"cited_paper":"/paper/2401.04982","citing_paper":"/paper/2607.01493"},"observation_digest":"sha256:f5653360cc0687fbf6ffe2a6ecafd767b4e1a63b3161448c2921d1e48459c885","observation_id":"62418373-125d-4135-a9a2-8e5dd1a8ec6f","resolution":{"observed_at":"2026-07-03T00:37:29.476071Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2401.04982/citation-record","integrity":"/paper/2401.04982/integrity","json":"/paper/2401.04982/citation-record.json","paper":"/paper/2401.04982"},"outbound":[],"paper":{"arxiv_id":"2401.04982","last_updated":"2024-01-10T07:57:51Z","latest_version":1,"primary_category":"nlin.SI","snapshot_observed_at":"2026-08-14T14:29:20.221707Z","submitted_at":"2024-01-10T07:57:51Z","title":"Lax pairs informed neural networks solving integrable 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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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:2401.04982."}