{"as_of":"2026-08-07T22:09:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b1d2db4ed0373f1e4587e991c5ed434197ea1d40abc2306293d8113c8aa0171c","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":"2026-08-06T22:12:54.022909Z","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":"2026-07-01T21:36:15.728740Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2308.01827","last_updated":"2023-08-03T15:38:31Z","snapshot_observed_at":"2026-08-03T18:11:32.792801Z","submitted_at":"2023-08-03T15:38:31Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.01827","snapshot_observed_at":"2026-08-06T22:12:54.022909Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.22335","last_updated":"2025-06-27T15:42:20Z","snapshot_observed_at":"2026-08-07T03:56:07.357609Z","submitted_at":"2025-06-27T15:42:20Z","title":"Robust quantum reservoir computers for forecasting chaotic dynamics: generalized synchronization and stability","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T22:12:54.022909Z"},"links":{"cited_paper":"/paper/2308.01827","citing_paper":"/paper/2506.22335"},"observation_digest":"sha256:e8ac766c15b79416ee2316d62d25359f28540e68cf3433c7c83aee47fa5b386c","observation_id":"4ce43baa-6a9c-46bc-8543-5110cb896c6e","resolution":{"observed_at":"2026-08-06T22:12:54.022909Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.01827","last_updated":"2023-08-03T15:38:31Z","snapshot_observed_at":"2026-08-03T18:11:32.792801Z","submitted_at":"2023-08-03T15:38:31Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2308.01827","snapshot_observed_at":"2026-08-06T18:19:59.094317Z","title":"Physics-informed quantum machine learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.08746","last_updated":"2025-07-11T16:56:37Z","snapshot_observed_at":"2026-08-07T13:09:50.985575Z","submitted_at":"2025-07-11T16:56:37Z","title":"Partitioned Hybrid Quantum Fourier Neural Operators for Scientific Quantum Machine Learning","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T18:19:59.094317Z"},"links":{"cited_paper":"/paper/2308.01827","citing_paper":"/paper/2507.08746"},"observation_digest":"sha256:bb679ecc0716cbcf203fb6e356105d66a1cb072135a584d6c96252e42de7fea9","observation_id":"213801fa-ca4a-40d3-a04b-e18bd9aac187","resolution":{"observed_at":"2026-08-06T18:19:59.094317Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2308.01827","last_updated":"2023-08-03T15:38:31Z","snapshot_observed_at":"2026-08-03T18:11:32.792801Z","submitted_at":"2023-08-03T15:38:31Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations","version":1},"cited_work":{"arxiv_id":"2308.01827","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2308.01827","snapshot_observed_at":"2026-07-01T21:36:15.728740Z","title":"Protocols for solving nonlinear ODEs without grid evalua- tion","venue":null,"work_id":"f5f512df-aed5-4a51-94c7-93730586529d","year":2023},"citing_paper":{"arxiv_id":"2604.09374","last_updated":"2026-04-14T03:27:34Z","snapshot_observed_at":"2026-08-02T06:50:38.431644Z","submitted_at":"2026-04-10T14:45:38Z","title":"Variational Quantum Physics-Informed Neural Networks for Hydrological PDE-Constrained Learning with Inherent Uncertainty Quantification","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T17:17:15.552151Z"},"links":{"cited_paper":"/paper/2308.01827","citing_paper":"/paper/2604.09374"},"observation_digest":"sha256:626f51ecd27d73776ef1b1d1892c0323d31b03a105bef2f15e6c54f13d080a60","observation_id":"0af394e8-d2ec-4d9a-9aa0-76f0350e7888","resolution":{"observed_at":"2026-05-11T07:06:16.475428Z","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":"2308.01827","last_updated":"2023-08-03T15:38:31Z","snapshot_observed_at":"2026-08-03T18:11:32.792801Z","submitted_at":"2023-08-03T15:38:31Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations","version":1},"cited_work":{"arxiv_id":"2308.01827","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2308.01827","snapshot_observed_at":"2026-07-01T21:36:15.728740Z","title":"Protocols for solving nonlinear ODEs without grid evalua- tion","venue":null,"work_id":"f5f512df-aed5-4a51-94c7-93730586529d","year":2023},"citing_paper":{"arxiv_id":"2604.16779","last_updated":"2026-04-22T04:58:24Z","snapshot_observed_at":"2026-07-06T23:04:01.558812Z","submitted_at":"2026-04-18T02:00:27Z","title":"Q-SINDy: Quantum-Kernel Sparse Identification of Nonlinear Dynamics with Provable Coefficient Debiasing","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T07:43:20.304427Z"},"links":{"cited_paper":"/paper/2308.01827","citing_paper":"/paper/2604.16779"},"observation_digest":"sha256:3db18bc28b59411d42b44fb8b50c3d92674255ee5b7543ea2ed264394f97684d","observation_id":"045278ed-37d0-4016-b4ed-c4f52fad78f3","resolution":{"observed_at":"2026-05-10T07:47:12.578936Z","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":"2308.01827","last_updated":"2023-08-03T15:38:31Z","snapshot_observed_at":"2026-08-03T18:11:32.792801Z","submitted_at":"2023-08-03T15:38:31Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations","version":1},"cited_work":{"arxiv_id":"2308.01827","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2308.01827","snapshot_observed_at":"2026-07-01T21:36:15.728740Z","title":"Protocols for solving nonlinear ODEs without grid evalua- tion","venue":null,"work_id":"f5f512df-aed5-4a51-94c7-93730586529d","year":2023},"citing_paper":{"arxiv_id":"2606.01426","last_updated":"2026-05-31T19:55:02Z","snapshot_observed_at":"2026-07-06T23:41:58.121923Z","submitted_at":"2026-05-31T19:55:02Z","title":"Efficient and Expressive Boundary Conditions in Quantum Lattice Boltzmann Methods","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-06-28T16:33:45.168692Z"},"links":{"cited_paper":"/paper/2308.01827","citing_paper":"/paper/2606.01426"},"observation_digest":"sha256:dd5b36d8644f7b921e165e543bbd0c931bacb0cff4957cb2148c6f79a09c139a","observation_id":"c258c078-8586-49db-9b16-32ea96cab7c0","resolution":{"observed_at":"2026-07-01T21:36:15.730574Z","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"}}],"links":{"evidence":"/evidence","html":"/paper/2308.01827/citation-record","integrity":"/paper/2308.01827/integrity","json":"/paper/2308.01827/citation-record.json","paper":"/paper/2308.01827"},"outbound":[],"paper":{"arxiv_id":"2308.01827","last_updated":"2023-08-03T15:38:31Z","latest_version":1,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-03T18:11:32.792801Z","submitted_at":"2023-08-03T15:38:31Z","title":"Physics-Informed Quantum Machine Learning: Solving nonlinear differential equations in latent spaces without costly grid evaluations"},"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:2308.01827."}