{"as_of":"2026-08-16T04:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7def883d5b9c08452fbf77c8a83b3333727dd7de92fca184c1213ca3f3bd5809","coverage":[{"denominator":57,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":57,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T19:26:14.939072Z","state":"measured"},{"denominator":57,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":57,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/2507.05797/citation-record","integrity":"/paper/2507.05797/integrity","json":"/paper/2507.05797/citation-record.json","paper":"/paper/2507.05797"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.570517Z","title":"Unsupervisedlearningapproachtoquantumwave-packetdynamicsfromcoupledtemporal-spatial correlations","venue":null,"work_id":"99d1d49d-09d4-4406-ae86-7f3a2f4dd02f","year":2024},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.820856Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:aef25567c830092b040ca0b31df85f11845122194ab4ba12b20946e46e666922","observation_id":"ec78e56a-6458-4dc4-9b7c-3247292c0dfa","resolution":{"observed_at":"2026-08-06T19:26:15.572644Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2014.23680","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.348351Z","title":"Adynamicmodedecompositionframeworkforglobalpowersystemoscillationanalysis","venue":null,"work_id":"89a59751-8035-41af-ae1f-07c1d5a4a6be","year":2015},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.824486Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:08d51c3fa5920bcdac5030edeac3b1569dedb4b6eb145b12e84e093e5157abd1","observation_id":"eadf3ab9-5d33-4b66-b98c-52627c5da65a","resolution":{"observed_at":"2026-08-06T19:26:15.351822Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.565120Z","title":"Learning long-term dependencies with gradient descent is difficult","venue":null,"work_id":"568fe822-8bab-4780-bed2-54667bda9c24","year":1994},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.826769Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:a26014de77b1967bc90a412bd696177e87d57de62e6cb901fce29ebc48bca655","observation_id":"1896daab-59d1-464d-8621-1915eec51104","resolution":{"observed_at":"2026-08-06T19:26:15.567181Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.559634Z","title":"Decoherence in qubits due to low-frequency noise","venue":null,"work_id":"d978bcf4-92fc-4227-9afc-bca314d19a69","year":2009},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.829166Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:accfdd03b017fe5940a1ef4420ea3326caa4faa8d96576f58d8d41b1abf57af6","observation_id":"a060530c-5880-4309-83d8-2960126e8521","resolution":{"observed_at":"2026-08-06T19:26:15.561805Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.553951Z","title":"Stochastic theory of line shape: Generalization of the kubo-anderson model","venue":null,"work_id":"3ceef320-b272-416e-b2a3-e22cf37bbb3c","year":1968},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.831325Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:b37bcdb1b6a9d7648ba6d21ec27ec25744f56919e331769b156845be98e30e23","observation_id":"3fb7b21e-34b7-417b-8564-5f09483db83d","resolution":{"observed_at":"2026-08-06T19:26:15.556110Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.834755Z","title":"Extracting spatial–temporal coherent patterns in large-scale neural recordings using dynamic mode decomposition","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.834755Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:85e83637cfb14586920b01b745d2108b63e971a5e3044aa4bdc8b3037fff9eda","observation_id":"47bbe521-3f44-416c-bae2-e6881ff4ada4","resolution":{"observed_at":"2026-08-06T19:26:14.834755Z","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":"2026-08-06T19:26:15.547147Z","title":"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control","venue":null,"work_id":"0cb73e6b-0f33-402e-a27b-0891537f556d","year":2019},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.837162Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:9179e5b00c1fa95a652e790a132cc3f642a2173c8c77a590904cccd067ce7e25","observation_id":"86b69311-0634-49ab-b63c-cefb3bc685bf","resolution":{"observed_at":"2026-08-06T19:26:15.549401Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.538823Z","title":"Non-markovian qubit dynamics in the presence of 1/f noise","venue":null,"work_id":"62abf3ed-9ce9-4531-a379-572fe8981c3f","year":2009},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.839077Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:0ae2cf4b4fbf088c73d4aa524e804d5fdfbe74c9959968315e48d23c71ae6d15","observation_id":"ee68de1d-af5a-4784-9be9-20f747648038","resolution":{"observed_at":"2026-08-06T19:26:15.540789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.532922Z","title":"Noisespectroscopy through dynamical decoupling with a superconducting flux qubit","venue":null,"work_id":"af30a88b-b43b-4fd3-ae74-414e1e7b4601","year":2011},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.840821Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:b4955ebb68070f6476643ba52bdbb4a49411747aa41c76636a6e2d7649b70f20","observation_id":"64b213b5-f727-4d9d-8bf8-c5c01117f862","resolution":{"observed_at":"2026-08-06T19:26:15.535002Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.15805","last_updated":"2025-06-18T18:42:03Z","snapshot_observed_at":"2026-08-15T19:28:37.866451Z","submitted_at":"2025-06-18T18:42:03Z","title":"Theory and Experimental Demonstration of Quantum Invariant Filtering","version":1},"cited_work":{"arxiv_id":"2506.15805","doi":null,"metadata_source":"pith","pith_arxiv_id":"2506.15805","snapshot_observed_at":"2026-08-06T19:26:15.276010Z","title":"Theory and Experimental Demonstration of Quantum Invariant Filtering","venue":"quant-ph","work_id":"defd0567-200d-4738-93a2-86424ce9ee01","year":2025},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.843213Z"},"links":{"cited_paper":"/paper/2506.15805","citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:564b6c983ddadfb8bdc76f6cfcb1e35b5727deb5f89140cdf43ae3d4e027d108","observation_id":"4582760b-c932-4fa6-b15c-d4ad56cecf9a","resolution":{"observed_at":"2026-08-06T19:26:15.279722Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2001.00617","last_updated":"2021-02-08T15:39:59Z","snapshot_observed_at":"2026-08-15T20:38:35.976303Z","submitted_at":"2020-01-02T20:40:03Z","title":"Regularization of Inverse Problems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.00617","snapshot_observed_at":"2026-08-06T19:26:14.845558Z","title":"Regularization of inverse problems","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.845558Z"},"links":{"cited_paper":"/paper/2001.00617","citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:7759fc1870678d6617b9d009f6d12bf19e8831a098eabf6d557201c87f9f186f","observation_id":"41d42327-7993-4e90-b7bc-a160792d19b0","resolution":{"observed_at":"2026-08-06T19:26:14.845558Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:14.848713Z","title":"Introductiontoquantumnoise,measurement,andamplification","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.848713Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:42488bb34ae7eba78676d62409c02f39ac36f35a9f9ebb2cfcb092a18caa99a8","observation_id":"a697de44-bc54-4867-9cb0-a159b0cd8786","resolution":{"observed_at":"2026-08-06T19:26:14.848713Z","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":"2026-08-06T19:26:15.527168Z","title":"Quantumfilterdiagonalizationwithcompresseddouble-factorizedhamiltonians","venue":null,"work_id":"c8277e29-59e0-4c8e-994c-3bc96f685145","year":2021},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.850719Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:1b75ae2a314fff15906a9ce455aabbf2e0fa540e3e857546b1a1186a604d8f50","observation_id":"e4e49060-e4c5-4acd-b3e5-36456a0358f9","resolution":{"observed_at":"2026-08-06T19:26:15.529371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/81.847872","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Phase noise in oscillators: A unifying theory and numerical methods for characterization","venue":"IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications","work_id":"2ee0b16b-6d3c-489d-90c0-904457749b3d","year":2000},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.853340Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:cbc3dfa318a5d5486d3a2a319853b953df466c44ef301a65ea8e7f006842410b","observation_id":"37ce1ad2-feae-4831-8941-96b7396cf8b7","resolution":{"observed_at":"2026-08-06T19:26:15.012429Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.856328Z","title":"Machine learning &amp; artificial intelligence in the quantum domain: a review of recent progress","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.856328Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:883b4b5ad9c233164db7067eaf3acae765de62c9c2a30e3e3011adccedced2cc","observation_id":"3b854c26-8226-46fa-8c72-87a85ea98e27","resolution":{"observed_at":"2026-08-06T19:26:14.856328Z","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":"2026-08-06T19:26:15.521582Z","title":"Finding structure in time","venue":null,"work_id":"c7af3824-e65d-4135-bcdc-1d8c9543ae7e","year":1990},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.858319Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:1ebb69a62ad38435c51f342352078c972b86b269e3abc61581d011818004475b","observation_id":"7cd284e0-f197-422f-b992-efa92397f0b0","resolution":{"observed_at":"2026-08-06T19:26:15.523550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.516120Z","title":"Initial decoherence in solid state qubits","venue":null,"work_id":"fc62cebe-988d-4597-af13-eef68c012536","year":2005},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.860241Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:a5f571c561262fb379fc43a2074f9d3c3e0b3bb730e722ff89a56715d94b1d5d","observation_id":"54373a73-9b18-470e-8a94-dbc128d96e5a","resolution":{"observed_at":"2026-08-06T19:26:15.518172Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1088/1367-2630/aaf207","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Bayesian quantum noise spectroscopy","venue":"New Journal of Physics","work_id":"e23e1da3-e09e-43cb-a21e-b971203aba61","year":2018},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.862030Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:942257b618192df938a69aa09bcf2728680375366d47152e6e3c09bdea5f0652","observation_id":"495520bf-cdc9-49db-a833-ad1239b3ef58","resolution":{"observed_at":"2026-08-06T19:26:15.000301Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.510253Z","title":"Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences","venue":null,"work_id":"fe1ed78c-a962-4774-8982-dd88d8664b67","year":1985},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.864976Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:df896a27dd7bb52a887db63ce23ea29147250fedff3bc134ae210505df562574","observation_id":"c41e37df-b8e4-4bee-89d7-c200fff47c69","resolution":{"observed_at":"2026-08-06T19:26:15.512413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.504298Z","title":"Quantum Noise","venue":null,"work_id":"3881044a-02c9-43f8-9e99-fb9f166cdf3e","year":2004},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.867171Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:2daf517cabd0d4e9d31d3420bfb484fdf51f15b39f5f913b9afa634e1c87f84b","observation_id":"c3a9f79e-d3a6-4dad-8dcd-ba2d9443d34e","resolution":{"observed_at":"2026-08-06T19:26:15.506320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.498700Z","title":"Handbook of stochastic methods","venue":null,"work_id":"79d8581a-d4e4-4c42-8121-5f99ba00befe","year":2004},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.869024Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:0f02f841f83ec02ef3aa1e6de25db274c7f846907d433e47d62fe2eedaa9fd7c","observation_id":"e574294e-fd67-46e7-99df-1690310d6d63","resolution":{"observed_at":"2026-08-06T19:26:15.500614Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.491908Z","title":"Universal dynamical decoherence control of noisy single-and multi-qubit systems","venue":null,"work_id":"aa252144-ae05-4e1a-bf4b-3219a47f0d3c","year":2007},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.871106Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:5a536ab565cc8c5cc0deb99c224dfe3c213f4a4e5685172afc7c84fbb3a1bd9f","observation_id":"b3ae60a0-b680-4c1b-8762-50e428660145","resolution":{"observed_at":"2026-08-06T19:26:15.494829Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.486336Z","title":"Optimal dynamical decoherence control of a qubit","venue":null,"work_id":"09c4c5de-e9f7-4b55-86e2-384df34914da","year":2008},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.872895Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:df6b855322602158165f60027a94be51cf42953491695a40fb1b414532a6ddaa","observation_id":"2f7c1420-941e-4d93-be55-1e5eb1a9c8ea","resolution":{"observed_at":"2026-08-06T19:26:15.488257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.874948Z","title":"Numericalanalyticcontinuation:Answerstowell-posedquestions","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.874948Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:5c6423e630d26d0c42f8ff4ebbd144bb6a967d3f6f99bd8b3ee1a68397d64984","observation_id":"56c6117b-cdc6-451d-9724-961b0e7f0a19","resolution":{"observed_at":"2026-08-06T19:26:14.874948Z","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":"2026-08-06T19:26:15.479886Z","title":"Colored noise in dynamical systems","venue":null,"work_id":"b3fd7bdd-eae5-4275-bca0-35be50191674","year":1994},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.876842Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:4760221aa7bc73cf07b2b889da38e347102a854b8badb70ee512f555732ce2f6","observation_id":"183ff1c2-e787-4818-abc5-59f6acfe809a","resolution":{"observed_at":"2026-08-06T19:26:15.481933Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.878636Z","title":"Long short-term memory","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.878636Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:24899e529aef6fb4c989cfd826a4ff51ceb4f8aab2d3fd1ec7f66f703688da64","observation_id":"374e96ae-686a-41fe-b410-3ac64e33306f","resolution":{"observed_at":"2026-08-06T19:26:14.878636Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:14.880889Z","title":"Bayesianinferenceandtheanalyticcontinuationofimaginary-timequantummontecarlodata","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.880889Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:0db566c5c48372a7a3458367b11944a78c0bcfe9c52fbede5e19456748891431","observation_id":"55427a13-6242-4829-9137-af2f591e874e","resolution":{"observed_at":"2026-08-06T19:26:14.880889Z","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":"2026-08-06T19:26:15.470654Z","title":"Principal Component Analysis","venue":null,"work_id":"5eec3795-e0f4-4cc9-8338-0131aa64345f","year":2002},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.883779Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:7dbc9ac8471eeafacac7aad9b74e55abb1a18ac1d2eaa22370c1e011b38d2331","observation_id":"de78c698-647d-4801-bfb9-2015d8efc91a","resolution":{"observed_at":"2026-08-06T19:26:15.472759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.465137Z","title":"URL:https://www.sciencedirect.com/science/article/pii/S0167947311004099, doi:https://doi.org/10","venue":null,"work_id":"9aba3615-c10a-4eea-9f20-615cce3fc7fd","year":2012},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.885824Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:7a4a4ad1772adac5163674a82a331a6756063656b9fb41adff23c5c3dec5fb43","observation_id":"4c5539ea-a577-4ced-9054-5322d608237b","resolution":{"observed_at":"2026-08-06T19:26:15.467197Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1103/physrevresearch.7.013085","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Forecasting long-time dynamics in quantum many-body systems by dynamic mode decomposition.Phys.Rev.Res.7,013085","venue":"Physical Review Research","work_id":"5b7b616c-74a1-41a0-a7f1-d7901b1fc40f","year":2025},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.887554Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:5816313093cebe3d3800c974581405ec231e90e9a76acbe93d1ccc4dee4a5aa7","observation_id":"f100c7cc-aae7-49df-af1f-eec5bb4d81f5","resolution":{"observed_at":"2026-08-06T19:26:14.990530Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.459544Z","title":"Numerical Solution to Stochastic Differential Equations","venue":null,"work_id":"60302acd-c304-4047-b9d4-1815b42ac01c","year":1999},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.889349Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:665da66e0516b6b12aad823c3f451a95793782775b57be9e2fca115304bcda04","observation_id":"07774cc5-0c54-4da1-ac4c-2a9dd7cbb815","resolution":{"observed_at":"2026-08-06T19:26:15.461590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.891144Z","title":"Artificial intelligence and machine learning for quantum technologies","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.891144Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:7b56916186f58ce346fd3bf8f329d850e297a3864330f45f633c9e1911f8018c","observation_id":"1e20d5fe-a5ea-4ce6-b3bc-54ddae3a728d","resolution":{"observed_at":"2026-08-06T19:26:14.891144Z","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":"10.1002/9780470143605.ch6","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"A stochastic theory of line shape, in: Shuler, K.E","venue":"Advances in chemical physics","work_id":"7761c91c-cb5f-49f9-8c09-7362b99d6584","year":1969},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.893015Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:934b2a0db07a39fdbc23c060b77c8e0a021690d00d9c147448f88526f8e33f8a","observation_id":"cfe1cc2c-eb4b-44ee-8fdb-0620074a5c4f","resolution":{"observed_at":"2026-08-06T19:26:14.979580Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.452792Z","title":"Dynamic mode decomposition: data-driven modeling of complex systems","venue":null,"work_id":"bc4a2d94-a61b-442c-8ace-f8c858fc29b2","year":2016},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.894997Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:9d7d4ee7b9fec0ef64628459f47d441c3dd0cdf90841ec8438181f3731a9783e","observation_id":"1994ebcc-1308-485d-bb65-cd3c74354587","resolution":{"observed_at":"2026-08-06T19:26:15.455851Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.896653Z","title":"Deep learning","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.896653Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:edaef1f971179e8c6bc97f2629c93bf22434ca24d4fe8d765132ff946cde7674","observation_id":"2cb4d9af-7d41-4511-89a1-4c060393228b","resolution":{"observed_at":"2026-08-06T19:26:14.896653Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1902.00967","last_updated":"2020-02-21T02:02:30Z","snapshot_observed_at":"2026-08-16T03:35:27.718250Z","submitted_at":"2019-02-03T21:09:32Z","title":"Lecture Notes on the Theory of Open Quantum Systems","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1902.00967","snapshot_observed_at":"2026-08-06T19:26:14.898892Z","title":"Lecture notes on the theory of open quantum systems.arXiv:1902.00967","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.898892Z"},"links":{"cited_paper":"/paper/1902.00967","citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:0e31ece953332cd5e2a0f1d9f9af8c94d05ee192f5d4e613bafa8b35bd3902f7","observation_id":"ef423369-f4ae-4b48-a90a-0a0971ad7eb3","resolution":{"observed_at":"2026-08-06T19:26:14.898892Z","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":"2026-08-06T19:26:15.447004Z","title":"Fdm: the filter diagonalization method for data processing in nmr experiments","venue":null,"work_id":"75313885-38fe-4e80-b9de-659d353acd6e","year":2001},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.900940Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:8d0a5be6a339e9a2bd4a9433069db23b592fd1c50823c7d53dc26f18ba229bc1","observation_id":"05fc557b-6608-4450-b923-5ce72d602315","resolution":{"observed_at":"2026-08-06T19:26:15.449036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1017/jfm.2024.834","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T05:30:23.456663Z","title":"Dynamic mode decomposition for analysis of time-series data","venue":"Journal of Fluid Mechanics","work_id":"f418c03e-b732-4548-a5a5-84cafea14597","year":2024},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.902677Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:70a0fdc8de3440eb1f6c0a23ae8346218c5c5a2cd4368f2f2da3e3c8c974aea4","observation_id":"ea6f66c2-2114-4a9d-b14b-87e978e6ee75","resolution":{"observed_at":"2026-08-06T19:26:14.967991Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.439905Z","title":"Stochasticoptimizationmethodforanalyticcontinuation,in:Correlatedelectrons:frommodelstomaterials.Forschungszen- trum Jülich GmbH Institute for Advanced Simulation","venue":null,"work_id":"16f084c0-f18b-4c23-a034-4b71f044b01f","year":2012},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.905188Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:db1d8cb39a994e22883f61ca3a2aae215b072fc2390eb3a5531465c60e6c4ac1","observation_id":"826e5c7e-4fc5-451e-ab41-9432936151c1","resolution":{"observed_at":"2026-08-06T19:26:15.442647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.434601Z","title":"Bound state eigenfunctions from wave packets: Time→energy resolution","venue":null,"work_id":"3b922688-6bc8-43a6-b5fc-86093547a3bb","year":1990},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.907152Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:f1000d043def3d3a2372e07b7d1bba38bc7e8068ea07549659f6d33042d62c0d","observation_id":"8f0af6a3-c24f-4f81-ac7e-85ada959469c","resolution":{"observed_at":"2026-08-06T19:26:15.436702Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.428748Z","title":"Qubit noise spectroscopy for non-gaussian dephasing environments","venue":null,"work_id":"eedec7bf-e299-4808-96dd-4195527277f2","year":2016},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.909758Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:26609fe1b96e83535d0b5a8814ff253062c4eb2a3320e945c77f0e486e39de8a","observation_id":"14649492-9762-448a-a34b-1097677fbb09","resolution":{"observed_at":"2026-08-06T19:26:15.431260Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.423620Z","title":"Decoherence and 1/f noise in josephson qubits","venue":null,"work_id":"958c993a-e232-4f49-87e3-ad556abe877f","year":2002},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.911592Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:e54f4cd97efe185752a4a080d4bed378a2e67d735ad84d57496a0a1618357a48","observation_id":"67abd277-7d67-4ca3-b085-f9e3f96e4a07","resolution":{"observed_at":"2026-08-06T19:26:15.425503Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.418274Z","title":"1/f noise: Implications for solid-state quantum information","venue":null,"work_id":"a9ac68a8-a4d8-401f-955a-dda9599e94f0","year":2014},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.913495Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:75b35f212117e60fd47270f373415cc2c52f41181ddb5050875efd4a6efe9204","observation_id":"94c8fa0f-2bae-4d4f-a19c-916d2d59703b","resolution":{"observed_at":"2026-08-06T19:26:15.420344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.915725Z","title":"A technique for the numerical solution of certain integral equations of the first kind","venue":null,"work_id":null,"year":1962},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.915725Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:d35ad22f71601ffbff01b9118e79537f7712f0300c66b76942109f75105cb2d5","observation_id":"12f492ff-0b09-4355-a527-5c6abddab11c","resolution":{"observed_at":"2026-08-06T19:26:14.915725Z","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":"2026-08-06T19:26:15.412740Z","title":"Dynamicmodedecompositionwithcontrol","venue":null,"work_id":"a860738f-2b2e-4439-aadd-39b1a52e5719","year":2016},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.917474Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:ba1fa611355b1b09f4b1a9f907d5692c0007495e6c5762b2805189fb0f2df2da","observation_id":"4b6ae6f5-228f-443a-a561-c271223a3e88","resolution":{"observed_at":"2026-08-06T19:26:15.414673Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.406962Z","title":"Discovering dynamic patterns from infectious disease data using dynamic mode decomposition","venue":null,"work_id":"04c67240-68ee-4af6-9460-4db1138219fe","year":2015},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.919120Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:ca7418552caf0f9f8ed9a9844ae4f36cb683d3f8bf45838cb2a33524514a2288","observation_id":"5997801b-ab31-4e5d-ae0e-080b1a059be3","resolution":{"observed_at":"2026-08-06T19:26:15.409171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.400586Z","title":"Optimal noise-canceling networks","venue":null,"work_id":"64386b2f-fa1d-4a4b-bf97-03c6ec163c91","year":2018},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.920845Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:a8a268c70c03f59c17b75f37529f703156d4c3d7aab88c517d3d2cc465d96d7b","observation_id":"3d36eb84-8470-4e85-a5c8-5f9ec4881dec","resolution":{"observed_at":"2026-08-06T19:26:15.403379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.394932Z","title":"Spectralanalysisofnonlinearflows","venue":null,"work_id":"cb8f9b5a-72c5-4578-8d36-a9b859d5c059","year":2009},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.922978Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:42319be19290ef21f08bb242b5f99dbb8feb9c87c19a8858977a7ecafacbedbd","observation_id":"eea02ccd-81fe-45d7-a18a-06231e63d994","resolution":{"observed_at":"2026-08-06T19:26:15.396861Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.389373Z","title":"Dynamic mode decomposition of numerical and experimental data","venue":null,"work_id":"a429cadd-ddb3-4881-acda-dcfd25ccbf00","year":2010},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.924874Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:1830cb2d89d1a8ee34991b9da5076c129af66d8bdedde08400d3c9da97456e84","observation_id":"f9faa700-50a4-4bd5-bf8c-96097d7267c5","resolution":{"observed_at":"2026-08-06T19:26:15.391389Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.383115Z","title":"Dynamic mode decomposition and its variants","venue":null,"work_id":"de55bd3c-d920-4ea5-9258-8637e51a207f","year":2022},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.926660Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:5310c71952ae9b6ae9c019d41d0dd5ead1430b73f3188e84b03b95ec4bddf310","observation_id":"59692822-e4ac-4abc-8008-0e73cf8decfe","resolution":{"observed_at":"2026-08-06T19:26:15.385376Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.375389Z","title":"Regularization of ill-posed problems","venue":null,"work_id":"12a18111-9d66-4b85-a2a0-b569526ad4ab","year":1963},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.928371Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:7966bf11465cefe0d7456cb3d5e47ddb92c3ca0a1ec8448f41111f2b7222b7ed","observation_id":"e18d80a2-f5c5-48c5-9ad3-d756cf583b7e","resolution":{"observed_at":"2026-08-06T19:26:15.377918Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.930228Z","title":"On dynamic mode decomposition: Theory and applications","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.930228Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:cd5e739cd18c70e6d9ff91265cb7c7a8fa8a7899122585ab55494a576fd75b95","observation_id":"784216ab-eb8d-42fa-9801-6b7ddc6c7a5d","resolution":{"observed_at":"2026-08-06T19:26:14.930228Z","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":"2026-08-06T19:26:15.368166Z","title":null,"venue":null,"work_id":"bccef86d-967c-4eef-a009-a14f8616ce55","year":1995},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.932048Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:53bda4f1c2ad19ede7f2b99c665b0acbef727a02222973ce156e00f54f9abb5f","observation_id":"89f1c728-a60e-4db9-8be6-a5c71b5b20d5","resolution":{"observed_at":"2026-08-06T19:26:15.370564Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.933782Z","title":"The use of fast fourier transform for the estimation of power spectra: A method based on time averaging over short, modified periodograms","venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.933782Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:89e36a3a60e84b01f189ab6f8b5da1c295b5598fd6bb14b6c8ef37780dd0a449","observation_id":"7171dd31-bef5-4220-b964-64eaf13143a5","resolution":{"observed_at":"2026-08-06T19:26:14.933782Z","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":"2026-08-06T19:26:15.362168Z","title":"Challenges in dynamic mode decomposition","venue":null,"work_id":"fba30d68-0b58-40ff-96cf-3639b206a029","year":2021},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.935663Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:f9d26bbdb24a765b4c7df674b1f7a8db15fbe9d17e320b1e8c1f24fa1b4aff26","observation_id":"281dee03-7ad4-4f9f-8682-4e0a7c9d2c3b","resolution":{"observed_at":"2026-08-06T19:26:15.364223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T19:26:15.356310Z","title":"Entanglement evolution in a non-markovian environment","venue":null,"work_id":"992a2f58-5eb0-49ab-a060-9ccb76b62b11","year":2010},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.937419Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:ef515c81b31333545d1eeb579ca2b2db2e666a4b68b95005edff2babdd6a9999","observation_id":"38a00513-e34d-46bd-ac77-75583a5d8c8e","resolution":{"observed_at":"2026-08-06T19:26:15.358452Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-06T19:26:14.939072Z","title":"Generative quantum machine learning via denoising diffusion probabilistic models","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition","version":3},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T19:26:14.939072Z"},"links":{"citing_paper":"/paper/2507.05797"},"observation_digest":"sha256:4b2bf3ecada09d938f33949866073772f53f1c8f6eb3347707409db60f18a597","observation_id":"f23770fb-46d9-48b0-ad4c-0045c8070faf","resolution":{"observed_at":"2026-08-06T19:26:14.939072Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.05797","last_updated":"2026-06-30T14:36:34Z","latest_version":3,"primary_category":"quant-ph","snapshot_observed_at":"2026-08-16T02:25:48.298309Z","submitted_at":"2025-07-08T08:59:06Z","title":"Data-Driven Reconstruction and Characterization of Stochastic Dynamics via Dynamical Mode Decomposition"},"reference_resolution":{"displayed":57,"state_counts":{"malformed_identifier":1,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":15,"verified_exact":6,"verified_fuzzy":34},"total_outbound_references":57},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2507.05797."}