{"as_of":"2026-08-11T21:48:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:09c276c01afb9f94238c100a40d2871ce2926a34f7b8f082d29866de0a77f8c4","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":"2026-08-11T06:34:44.6726+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":"2026-08-10T04:26:44.144231Z","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":"2026-08-06T12:46:07.075988Z","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":"sha256:8f211b86b9d1a358c67380ccf285e16da8ab61ad2a4b80636b6e42d4424ceea4","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":"2026-08-09T14:42:44.598695Z","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":"2026-08-06T12:46:07.075988Z","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":"sha256:0ee8d4bc9a78839c838c7bdbfb8b41b1c53a7e8e3d50fd9ac165e7cf99624f2b","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":"2026-08-06T12:46:07.075988Z","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:c54a4385a0e5927e23288f5fcd8d5170f161000922a7855b2effb1c87252b96d","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 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T12:46:07.075988Z","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":"sha256:3a31b39ba16f952f9ced12ba3e585c35fa1609e3a2ef0a2105d126e4424be853","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":"2026-08-11T14:30:54.187611Z","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":"2026-08-06T12:46:07.075988Z","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":"sha256:8d9dead3b28be92449814b7860485ca4e482c2890c4c9c283a5d0d5e4a98d9eb","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 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06256","last_updated":"2025-05-19T13:24:23Z","snapshot_observed_at":"2026-08-11T16:51:14.524543Z","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":"2026-08-06T12:46:07.075988Z","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":"sha256:51e8ca7b393823e08871651763bcf787f3c83f6795285d848c20172791361b32","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 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+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":"2026-08-06T12:46:07.075988Z","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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2507.21552."}