{"as_of":"2026-08-12T18:16:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a07139bd49d207adc7ed2405e13575618a3d0da3c875f1282d590c1aac505833","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":"2026-08-12T06:34:41.77262+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":"2026-08-12T00:49:58.122646Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-05T11:58:22.696520Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.05382","last_updated":"2025-03-17T03:41:31Z","snapshot_observed_at":"2026-08-03T18:45:28.696833Z","submitted_at":"2024-11-08T07:33:30Z","title":"Lift-and-Embed Learning Methods for Solving Scalar Hyperbolic Equations with Discontinuous Solutions","version":2},"cited_work":{"arxiv_id":"2411.05382","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.05382","snapshot_observed_at":"2026-08-05T11:58:22.696520Z","title":"Lift-and-Embed Learning Methods for Solving Scalar Hyperbolic Equations with Discontinuous Solutions","venue":"math.NA","work_id":"41b2ba71-83f7-4af8-9e65-4285bb2f4178","year":2024},"citing_paper":{"arxiv_id":"2509.02091","last_updated":"2025-09-09T10:01:18Z","snapshot_observed_at":"2026-08-10T13:31:32.431465Z","submitted_at":"2025-09-02T08:42:15Z","title":"CLINN: Conservation Law Informed Neural Network for Approximating Discontinuous Solutions","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T11:58:22.651923Z"},"links":{"cited_paper":"/paper/2411.05382","citing_paper":"/paper/2509.02091"},"observation_digest":"sha256:e01043224c3d59c747299a461864fc8463b1447b50722c7acd0f503dbdb9650d","observation_id":"c59a7d40-02f6-4a08-89a9-a42c743dabb3","resolution":{"observed_at":"2026-08-05T11:58:22.703574Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.05382","last_updated":"2025-03-17T03:41:31Z","snapshot_observed_at":"2026-08-03T18:45:28.696833Z","submitted_at":"2024-11-08T07:33:30Z","title":"Lift-and-Embed Learning Methods for Solving Scalar Hyperbolic Equations with Discontinuous Solutions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.05382","snapshot_observed_at":"2026-08-12T00:49:58.122646Z","title":"arXiv preprint arXiv:2411.05382 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.10389","last_updated":"2026-08-11T02:34:15Z","snapshot_observed_at":"2026-08-12T17:20:15.315157Z","submitted_at":"2026-08-11T02:34:15Z","title":"Efficient Weak-Entropy PINN for Solving Hyperbolic Conservation Laws","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-12T00:49:58.122646Z"},"links":{"cited_paper":"/paper/2411.05382","citing_paper":"/paper/2608.10389"},"observation_digest":"sha256:3a6818b84b2c14c17c1418258e41a05c3e4d43126c944dcb4a5825cef7b57242","observation_id":"4e8dd8e7-9c74-487b-b77c-041c091e5987","resolution":{"observed_at":"2026-08-12T00:49:58.122646Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2411.05382/citation-record","integrity":"/paper/2411.05382/integrity","json":"/paper/2411.05382/citation-record.json","paper":"/paper/2411.05382"},"outbound":[],"paper":{"arxiv_id":"2411.05382","last_updated":"2025-03-17T03:41:31Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-03T18:45:28.696833Z","submitted_at":"2024-11-08T07:33:30Z","title":"Lift-and-Embed Learning Methods for Solving Scalar Hyperbolic Equations with Discontinuous Solutions"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2411.05382."}