{"as_of":"2026-08-07T12:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a045539131e02752b6949c493c21e3cf069c68e6a2f283bf2c34a17d12f9b67d","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T10:28:14.948752Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":76,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1909.12790","last_updated":"2019-09-27T16:54:04Z","snapshot_observed_at":"2026-07-06T08:25:13.621456Z","submitted_at":"2019-09-27T16:54:04Z","title":"Hamiltonian Graph Networks with ODE Integrators","version":1},"cited_work":{"arxiv_id":"1909.12790","doi":"10.48550/arxiv.1909.12790","metadata_source":"arxiv_reference","pith_arxiv_id":"1909.12790","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"& Battaglia, P.Hamiltonian Graph Networks with ODE Integrators","venue":"arXiv (Cornell University)","work_id":"49265ba9-1ca0-4479-ae2a-d374a385a749","year":1909},"citing_paper":{"arxiv_id":"2104.13478","last_updated":"2021-05-02T16:16:03Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2021-04-27T21:09:51Z","title":"Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-05-13T02:39:29.411021Z"},"links":{"cited_paper":"/paper/1909.12790","citing_paper":"/paper/2104.13478"},"observation_digest":"sha256:ceea2ffb09dbdac4e0e7774bc7b9b8767e67c25dff4317f6c20a2d6d58e82563","observation_id":"7b33e56a-d685-4574-9283-e012356e0a6c","resolution":{"observed_at":"2026-05-13T02:39:29.890639Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12790","last_updated":"2019-09-27T16:54:04Z","snapshot_observed_at":"2026-07-06T08:25:13.621456Z","submitted_at":"2019-09-27T16:54:04Z","title":"Hamiltonian Graph Networks with ODE Integrators","version":1},"cited_work":{"arxiv_id":"1909.12790","doi":"10.48550/arxiv.1909.12790","metadata_source":"arxiv_reference","pith_arxiv_id":"1909.12790","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"& Battaglia, P.Hamiltonian Graph Networks with ODE Integrators","venue":"arXiv (Cornell University)","work_id":"49265ba9-1ca0-4479-ae2a-d374a385a749","year":1909},"citing_paper":{"arxiv_id":"2604.23606","last_updated":"2026-04-26T08:37:10Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-04-26T08:37:10Z","title":"Hamiltonian Graph Inference Networks: Joint structure discovery and dynamics prediction for lattice Hamiltonian systems from trajectory data","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-08T06:27:21.654020Z"},"links":{"cited_paper":"/paper/1909.12790","citing_paper":"/paper/2604.23606"},"observation_digest":"sha256:2b7e7e89c14c2795ac6aa2dc59af0dd27f5a1b344ef8e39be37384d591221347","observation_id":"afcaae9d-ff66-4580-afcd-a209f0ff944b","resolution":{"observed_at":"2026-05-08T23:14:26.460949Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12790","last_updated":"2019-09-27T16:54:04Z","snapshot_observed_at":"2026-07-06T08:25:13.621456Z","submitted_at":"2019-09-27T16:54:04Z","title":"Hamiltonian Graph Networks with ODE Integrators","version":1},"cited_work":{"arxiv_id":"1909.12790","doi":"10.48550/arxiv.1909.12790","metadata_source":"arxiv_reference","pith_arxiv_id":"1909.12790","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"& Battaglia, P.Hamiltonian Graph Networks with ODE Integrators","venue":"arXiv (Cornell University)","work_id":"49265ba9-1ca0-4479-ae2a-d374a385a749","year":1909},"citing_paper":{"arxiv_id":"2605.23510","last_updated":"2026-05-22T11:18:39Z","snapshot_observed_at":"2026-08-02T16:57:41.268824Z","submitted_at":"2026-05-22T11:18:39Z","title":"Learning partially observed systems with neural Hamiltonian ordinary differential equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-25T05:07:49.969047Z"},"links":{"cited_paper":"/paper/1909.12790","citing_paper":"/paper/2605.23510"},"observation_digest":"sha256:bd700bfba3044615f7db0f30e570837ca13466f77dafa4175b6d819f0525f9aa","observation_id":"da9e5f0d-3ad5-4547-bab7-e6fdae3ba01e","resolution":{"observed_at":"2026-05-25T05:10:22.185193Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12790","last_updated":"2019-09-27T16:54:04Z","snapshot_observed_at":"2026-07-06T08:25:13.621456Z","submitted_at":"2019-09-27T16:54:04Z","title":"Hamiltonian Graph Networks with ODE Integrators","version":1},"cited_work":{"arxiv_id":"1909.12790","doi":"10.48550/arxiv.1909.12790","metadata_source":"arxiv_reference","pith_arxiv_id":"1909.12790","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"& Battaglia, P.Hamiltonian Graph Networks with ODE Integrators","venue":"arXiv (Cornell University)","work_id":"49265ba9-1ca0-4479-ae2a-d374a385a749","year":1909},"citing_paper":{"arxiv_id":"2606.09432","last_updated":"2026-06-08T12:42:10Z","snapshot_observed_at":"2026-07-06T23:48:48.962930Z","submitted_at":"2026-06-08T12:42:10Z","title":"Graph Mamba Operator: A Latent Simulator for Interacting Particle Systems","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-06-27T17:07:27.417845Z"},"links":{"cited_paper":"/paper/1909.12790","citing_paper":"/paper/2606.09432"},"observation_digest":"sha256:9dba4f731125315fc67058ae3a18c1ad292d7d705493d566e9025307f17eae2c","observation_id":"aff8f810-4506-427a-ad68-42615e8c8eb5","resolution":{"observed_at":"2026-07-03T00:37:29.942607Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1909.12790","last_updated":"2019-09-27T16:54:04Z","snapshot_observed_at":"2026-07-06T08:25:13.621456Z","submitted_at":"2019-09-27T16:54:04Z","title":"Hamiltonian Graph Networks with ODE Integrators","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.12790","snapshot_observed_at":"2026-08-01T10:28:14.948752Z","title":"Sanchez-Gonzalez, V","venue":null,"work_id":null,"year":1909},"citing_paper":{"arxiv_id":"2607.20235","last_updated":"2026-07-22T14:56:15Z","snapshot_observed_at":"2026-08-06T21:56:48.814200Z","submitted_at":"2026-07-22T14:56:15Z","title":"Dynamical and Optimization Trade-offs of Levi--Civita Coordinates for Learned Close-Encounter Dynamics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T10:28:14.948752Z"},"links":{"cited_paper":"/paper/1909.12790","citing_paper":"/paper/2607.20235"},"observation_digest":"sha256:329ba42ced8745aa039c54a74c77109e3327856c2352bc6739a8430dc64b0718","observation_id":"ba8ddd73-23e8-4f3d-b14e-5f43155564f0","resolution":{"observed_at":"2026-08-01T10:28:14.948752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1909.12790/citation-record","integrity":"/paper/1909.12790/integrity","json":"/paper/1909.12790/citation-record.json","paper":"/paper/1909.12790"},"outbound":[],"paper":{"arxiv_id":"1909.12790","last_updated":"2019-09-27T16:54:04Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-07-06T08:25:13.621456Z","submitted_at":"2019-09-27T16:54:04Z","title":"Hamiltonian Graph Networks with ODE Integrators"},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1909.12790."}