{"as_of":"2026-08-15T21:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ece8f24df07fefe94e78c6feb60689358544b001878d3d4a1e32a3d89359f3c0","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":"2026-08-07T05:26:44.623735Z","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":"2026-07-02T06:06:40.877694Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2211.11716","last_updated":"2022-11-21T18:35:14Z","snapshot_observed_at":"2026-08-15T11:34:06.422812Z","submitted_at":"2022-11-21T18:35:14Z","title":"Neural tangent kernel analysis of PINN for advection-diffusion equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.11716","snapshot_observed_at":"2026-08-07T05:26:44.623735Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.07958","last_updated":"2025-06-09T17:30:13Z","snapshot_observed_at":"2026-08-08T21:03:08.651830Z","submitted_at":"2025-06-09T17:30:13Z","title":"Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T05:26:44.623735Z"},"links":{"cited_paper":"/paper/2211.11716","citing_paper":"/paper/2506.07958"},"observation_digest":"sha256:e4f595591c6afd4e7da6a2abed05fcaf7461e422fbbaee137330a425016cecbc","observation_id":"743bd60e-054c-4c31-9cb5-99497c487faa","resolution":{"observed_at":"2026-08-07T05:26:44.623735Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.11716","last_updated":"2022-11-21T18:35:14Z","snapshot_observed_at":"2026-08-15T11:34:06.422812Z","submitted_at":"2022-11-21T18:35:14Z","title":"Neural tangent kernel analysis of PINN for advection-diffusion equation","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.11716","snapshot_observed_at":"2026-08-06T19:46:12.620786Z","title":"Neural tangent kernel analysis of PINN for advection- diffusion equation","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.08834","last_updated":"2025-07-07T04:21:09Z","snapshot_observed_at":"2026-08-08T17:59:17.569099Z","submitted_at":"2025-07-07T04:21:09Z","title":"Physical Informed Neural Networks for modeling ocean pollutant","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:12.620786Z"},"links":{"cited_paper":"/paper/2211.11716","citing_paper":"/paper/2507.08834"},"observation_digest":"sha256:cab6d04f41a7f4963e1880430d3a7c61ced46c5c9c180a3df2944a3e31e62081","observation_id":"4a04a08c-7a99-4301-9d4a-aa9b48fb24f5","resolution":{"observed_at":"2026-08-06T19:46:12.620786Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.11716","last_updated":"2022-11-21T18:35:14Z","snapshot_observed_at":"2026-08-15T11:34:06.422812Z","submitted_at":"2022-11-21T18:35:14Z","title":"Neural tangent kernel analysis of PINN for advection-diffusion equation","version":1},"cited_work":{"arxiv_id":"2211.11716","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.11716","snapshot_observed_at":"2026-07-02T06:06:40.877694Z","title":"arXiv preprint arXiv:2211.11716","venue":null,"work_id":"09f68a29-043d-4672-b4f1-60d0b821305b","year":null},"citing_paper":{"arxiv_id":"2606.04392","last_updated":"2026-06-03T03:15:55Z","snapshot_observed_at":"2026-08-15T18:03:21.571953Z","submitted_at":"2026-06-03T03:15:55Z","title":"Physics-Informed Neural Network Modeling of Biodegradable Contaminant Transport through GCL/SL Composite Liners","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T07:45:27.976427Z"},"links":{"cited_paper":"/paper/2211.11716","citing_paper":"/paper/2606.04392"},"observation_digest":"sha256:d6cbefc571b0608809de06e9c74d80d4e6f4197fefe2ba3f55bbe5057c089cb2","observation_id":"ebbfdbbc-8220-41da-94a3-dd536157d506","resolution":{"observed_at":"2026-07-02T06:06:40.879063Z","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/2211.11716/citation-record","integrity":"/paper/2211.11716/integrity","json":"/paper/2211.11716/citation-record.json","paper":"/paper/2211.11716"},"outbound":[],"paper":{"arxiv_id":"2211.11716","last_updated":"2022-11-21T18:35:14Z","latest_version":1,"primary_category":"physics.comp-ph","snapshot_observed_at":"2026-08-15T11:34:06.422812Z","submitted_at":"2022-11-21T18:35:14Z","title":"Neural tangent kernel analysis of PINN for advection-diffusion equation"},"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 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2211.11716."}