{"as_of":"2026-08-16T12:11:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aa101a6c572cb58d3f535708a07535b2fa79b9406ea54a4f6db2f3cdda2236fd","coverage":[{"denominator":6,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T12:46:10.442348Z","state":"measured"},{"denominator":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2507.21552/citation-record","integrity":"/paper/2507.21552/integrity","json":"/paper/2507.21552/citation-record.json","paper":"/paper/2507.21552"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"1706.08621","last_updated":"2017-06-26T22:57:45Z","snapshot_observed_at":"2026-08-14T20:51:29.328427Z","submitted_at":"2017-06-26T22:57:45Z","title":"Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.08621","snapshot_observed_at":"2026-08-06T12:46:10.424240Z","title":"Celledoni and E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models","version":2},"reference_index":1958,"source":"pdf_text","source_observed_at":"2026-08-06T12:46:10.424240Z"},"links":{"cited_paper":"/paper/1706.08621","citing_paper":"/paper/2507.21552"},"observation_digest":"sha256:346174d18bde8e2ea8e352b4f63636d3a1c115290ad099f49bfb70e4e01a14ea","observation_id":"dc48f3a1-8597-4ce5-9ac2-4069d928b434","resolution":{"observed_at":"2026-08-06T12:46:10.424240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2311.17283","last_updated":"2023-11-28T23:50:08Z","snapshot_observed_at":"2026-08-14T05:23:12.934416Z","submitted_at":"2023-11-28T23:50:08Z","title":"Lineax: unified linear solves and linear least-squares in JAX and Equinox","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2311.17283","snapshot_observed_at":"2026-08-06T12:46:10.442348Z","title":"Rader, T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models","version":2},"reference_index":1994,"source":"pdf_text","source_observed_at":"2026-08-06T12:46:10.442348Z"},"links":{"cited_paper":"/paper/2311.17283","citing_paper":"/paper/2507.21552"},"observation_digest":"sha256:714c757bdb81430af29cff7427e722662576660000d6f4caac08a3e3cad2ee3b","observation_id":"a7103026-574d-45bb-bb1f-911199a4c0ac","resolution":{"observed_at":"2026-08-06T12:46:10.442348Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T12:46:10.669570Z","title":"Gugercin, R","venue":null,"work_id":"01f9fae0-7466-41e0-8230-159316d34815","year":1963},"citing_paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models","version":2},"reference_index":1996,"source":"pdf_text","source_observed_at":"2026-08-06T12:46:10.431987Z"},"links":{"citing_paper":"/paper/2507.21552"},"observation_digest":"sha256:1f59c6af4aea93e39be92a272e812b83766babd3ae8932bf4dd318b4a4173678","observation_id":"5a1c85aa-6e25-4930-86a8-17f639090994","resolution":{"observed_at":"2026-08-06T12:46:10.672568Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T12:46:10.439085Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models","version":2},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-06T12:46:10.439085Z"},"links":{"citing_paper":"/paper/2507.21552"},"observation_digest":"sha256:d8110aeecd91547f3e15a63a8bbf4c59ba9338e25854a44eff9c0b16052210c3","observation_id":"3286a7b6-c910-4fc8-88c4-e51abfe3c37c","resolution":{"observed_at":"2026-08-06T12:46:10.439085Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2603.08656","last_updated":"2026-08-01T12:57:11Z","snapshot_observed_at":"2026-08-13T17:34:15.714747Z","submitted_at":"2026-03-09T17:34:55Z","title":"Structure-Preserving Generalized Manifold Galerkin Reduction for Port-Hamiltonian Systems","version":2},"cited_work":{"arxiv_id":"2603.08656","doi":null,"metadata_source":"pith","pith_arxiv_id":"2603.08656","snapshot_observed_at":"2026-08-06T12:46:10.651324Z","title":"Structure-Preserving Generalized Manifold Galerkin Reduction for Port-Hamiltonian Systems","venue":"math.NA","work_id":"80d3e1f2-e75b-4e37-93d0-6b3e223e13e5","year":2026},"citing_paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models","version":2},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-06T12:46:10.428380Z"},"links":{"cited_paper":"/paper/2603.08656","citing_paper":"/paper/2507.21552"},"observation_digest":"sha256:54459e3540d7c06d1cced9b9140bc2db505d90e4b01897fad2fb325e8d777eed","observation_id":"d27ef4d5-7414-40c6-b99f-f02a05c101b6","resolution":{"observed_at":"2026-08-06T12:46:10.654734Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06256","last_updated":"2025-05-19T13:24:23Z","snapshot_observed_at":"2026-08-12T22:48:00.801068Z","submitted_at":"2024-09-10T06:57:10Z","title":"Passivity encoding representations of nonlinear systems","version":3},"cited_work":{"arxiv_id":"2409.06256","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.06256","snapshot_observed_at":"2026-08-06T12:46:10.636615Z","title":"Passivity encoding representations of nonlinear systems","venue":"math.DS","work_id":"28f5de04-71af-4eeb-bd12-bfaa980820ad","year":2024},"citing_paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models","version":2},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-06T12:46:10.435657Z"},"links":{"cited_paper":"/paper/2409.06256","citing_paper":"/paper/2507.21552"},"observation_digest":"sha256:35105efeb26c0332dd4cf816436016beecfd0b0cf001455b8cb8d0710a465aa2","observation_id":"891ca4ad-369b-4168-acee-8c8c76a3e09d","resolution":{"observed_at":"2026-08-06T12:46:10.641599Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.21552","last_updated":"2026-05-28T09:03:40Z","latest_version":2,"primary_category":"math.NA","snapshot_observed_at":"2026-08-12T18:36:25.060099Z","submitted_at":"2025-07-29T07:31:51Z","title":"Structure-Preserving Discretization and Model Reduction for Energy-Based Models"},"reference_resolution":{"displayed":6,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":3,"verified_exact":2,"verified_fuzzy":1},"total_outbound_references":6},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2507.21552."}