{"as_of":"2026-08-08T23:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:32d85a1372b198d37f44bc21760068ec4c2480d17ed4e13059614b9aa18e0ae2","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":"2026-08-08T06:32:00.761636+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":"2026-08-07T05:49:22.653088Z","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":"2026-05-14T20:39:27.872410Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.16737","last_updated":"2024-03-25T13:09:44Z","snapshot_observed_at":"2026-08-06T18:03:42.023804Z","submitted_at":"2024-03-25T13:09:44Z","title":"Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.16737","snapshot_observed_at":"2026-08-07T05:49:22.653088Z","title":"Integrating port-hamiltonian systems with neural networks: From deterministic to stochastic frameworks.arXiv preprint arXiv:2403.16737, 2024","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.07079","last_updated":"2025-06-08T10:44:01Z","snapshot_observed_at":"2026-08-07T05:40:26.797961Z","submitted_at":"2025-06-08T10:44:01Z","title":"On the Generalization of Data-Assisted Control in port-Hamiltonian Systems (DAC-pH)","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T05:49:22.653088Z"},"links":{"cited_paper":"/paper/2403.16737","citing_paper":"/paper/2506.07079"},"observation_digest":"sha256:b1a2e8ecc01be877aafab1417b44b9ebbddd544d4699d8520f05bd207d12aabd","observation_id":"9dbac3a8-e27c-4d8b-9afd-d5e40e959788","resolution":{"observed_at":"2026-08-07T05:49:22.653088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.16737","last_updated":"2024-03-25T13:09:44Z","snapshot_observed_at":"2026-08-06T18:03:42.023804Z","submitted_at":"2024-03-25T13:09:44Z","title":"Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks","version":1},"cited_work":{"arxiv_id":"2403.16737","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.16737","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2403.16737 , year=","venue":null,"work_id":"f8b91b16-0efc-4f7d-9f62-e1a491cbbfe6","year":null},"citing_paper":{"arxiv_id":"2605.12785","last_updated":"2026-05-12T22:01:16Z","snapshot_observed_at":"2026-07-06T23:24:27.821980Z","submitted_at":"2026-05-12T22:01:16Z","title":"Identifying the nonlinear string dynamics with port-Hamiltonian neural networks","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-05-14T20:34:30.179468Z"},"links":{"cited_paper":"/paper/2403.16737","citing_paper":"/paper/2605.12785"},"observation_digest":"sha256:fab99f6a332e68017af889bd961084f918dced25637e98940f16cd5a9f799ada","observation_id":"f22bc6d8-ee9a-40a1-9e3c-e635ecf800be","resolution":{"observed_at":"2026-05-14T20:39:27.876638Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2403.16737/citation-record","integrity":"/paper/2403.16737/integrity","json":"/paper/2403.16737/citation-record.json","paper":"/paper/2403.16737"},"outbound":[],"paper":{"arxiv_id":"2403.16737","last_updated":"2024-03-25T13:09:44Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-06T18:03:42.023804Z","submitted_at":"2024-03-25T13:09:44Z","title":"Integrating Port-Hamiltonian Systems with Neural Networks: From Deterministic to Stochastic Frameworks"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2403.16737."}