{"as_of":"2026-08-08T12:29:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78492120a88ca8e2ad73aa6aebc4b4d3ab1b869acc1db6743f1c5f068b47e83d","coverage":[{"denominator":30,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":30,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T16:36:10.083951Z","state":"measured"},{"denominator":30,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":30,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2507.15990/citation-record","integrity":"/paper/2507.15990/integrity","json":"/paper/2507.15990/citation-record.json","paper":"/paper/2507.15990"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T16:36:14.074230Z","title":"Archambeau, D","venue":null,"work_id":"d476ac17-a950-4b6a-9237-28ed663a08f4","year":2007},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.114200Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:bd0dd7c646b44bb93932d9c374a22c1ba71524a2aa86dde49501f2c41a0a3e61","observation_id":"da57b28b-fc24-45a3-9621-48b401c98270","resolution":{"observed_at":"2026-08-06T16:36:14.170831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:13.934666Z","title":"Carbajal, D","venue":null,"work_id":"bbf571d2-3603-417b-a122-21dbf8d60137","year":2017},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.186051Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:5d8480a510d643702c7c6678fe528064df6ff510e498bb15d587a8b19ffa5351","observation_id":"23ea5740-fbd8-4165-a4a5-1de2640e0024","resolution":{"observed_at":"2026-08-06T16:36:13.993046Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:13.810832Z","title":null,"venue":null,"work_id":"6c82a09a-c3ef-4998-bb70-ba1e939a69d0","year":2021},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.284127Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:d571591de3d528cfa092d7c0b37fa04555786802fde8c2619ec5665ea2c3e067","observation_id":"a9ff5454-c1b1-425b-a033-05a041c4b5dd","resolution":{"observed_at":"2026-08-06T16:36:13.868537Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.14821","last_updated":"2024-08-27T07:03:51Z","snapshot_observed_at":"2026-07-06T19:06:23.640089Z","submitted_at":"2024-08-27T07:03:51Z","title":"Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.14821","snapshot_observed_at":"2026-08-06T16:36:08.367940Z","title":"Chen and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.367940Z"},"links":{"cited_paper":"/paper/2408.14821","citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:1703c2eb6fe219f178867a42bcbaf75b502aa0de50161893b766ae0a92fdb786","observation_id":"80366937-80b3-481b-9d45-163476a51435","resolution":{"observed_at":"2026-08-06T16:36:08.367940Z","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":"2026-08-06T16:36:13.661358Z","title":"Chen and D","venue":null,"work_id":"d3890a8d-faa8-4c96-a744-98b55d70e001","year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.410758Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:441bd097cc4b6e753bc9cddc36994e1b287abc0f3ac483ceba6b2ba2cb5bff45","observation_id":"c1949e22-44ba-42d5-b4de-6b4f4a924e5a","resolution":{"observed_at":"2026-08-06T16:36:13.714065Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.15747","last_updated":"2025-02-28T23:29:04Z","snapshot_observed_at":"2026-07-06T18:35:22.425271Z","submitted_at":"2024-06-22T06:21:44Z","title":"Modeling Unknown Stochastic Dynamical System Subject to External Excitation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.15747","snapshot_observed_at":"2026-08-06T16:36:08.469492Z","title":"Chen and D","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.469492Z"},"links":{"cited_paper":"/paper/2406.15747","citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:f17a7704406681ca2cba9f83a5c2cdcd963c87a596be594c78a986ad9c2599e5","observation_id":"3c368879-8fc1-45bd-9986-d2aa214b39db","resolution":{"observed_at":"2026-08-06T16:36:08.469492Z","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":"2026-08-06T16:36:13.530997Z","title":"Friedrich, J","venue":null,"work_id":"4b6fa0c9-39d1-49ea-ae52-90306e6cab86","year":2011},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.555805Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:8538bea5a0713efe9cf8fa6ef804645dbebf0002b75faff5ea5dcf806eec76e1","observation_id":"f5eadc53-11b3-46b1-8548-3751634cb22c","resolution":{"observed_at":"2026-08-06T16:36:13.590710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:13.425949Z","title":null,"venue":null,"work_id":"6e82bdcc-340d-4fe0-9434-501e3061d866","year":2001},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.585206Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:b83f9bfd62046f5bc2603852062949463efb30dc4a86a334ee537a4d96565fe8","observation_id":"331f03c3-42cb-400a-abf2-85af2a23f1d2","resolution":{"observed_at":"2026-08-06T16:36:13.455593Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:13.303107Z","title":null,"venue":null,"work_id":"d7d164ab-ab8a-4161-88c2-23d30b08f22d","year":2013},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.676557Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:22b4681ff97a3482bd681ea5ad52c57addd06964a62fa28bfd52598cead52bb4","observation_id":"9ee91052-e723-4af4-8220-f1f5e4541c09","resolution":{"observed_at":"2026-08-06T16:36:13.353889Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:13.170265Z","title":"Kobyzev, S","venue":null,"work_id":"82ceb361-3213-4d51-8f8a-cbfa8656660f","year":2020},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.734771Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:ace23d4175be01ba4d156b0d85c217a9af08f3569b496a808ece26f0e37591db","observation_id":"52466c18-cf10-4748-bafc-7d8ca27a8d37","resolution":{"observed_at":"2026-08-06T16:36:13.221080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:13.021548Z","title":null,"venue":null,"work_id":"37cc755d-c922-41b4-94c6-97c0d8b7afff","year":2003},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.841493Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:b9217accc143645da980e10999461468582d962483e6b46981886faab4f63a3b","observation_id":"c3e848c2-70d4-4215-aa56-16a385e27eaa","resolution":{"observed_at":"2026-08-06T16:36:13.095611Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:12.853438Z","title":null,"venue":null,"work_id":"42bf0692-9905-4a41-a3ec-98c26409515b","year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:08.932036Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:d4749023c02141b36499f1fedf8a17a644cbbd96fd5a1fac357959209d7a6472","observation_id":"ce3aeffb-2e87-4342-8072-c42cbb92470a","resolution":{"observed_at":"2026-08-06T16:36:12.950139Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.03108","last_updated":"2024-10-04T03:07:36Z","snapshot_observed_at":"2026-07-06T19:27:29.609371Z","submitted_at":"2024-10-04T03:07:36Z","title":"A Training-Free Conditional Diffusion Model for Learning Stochastic Dynamical Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.03108","snapshot_observed_at":"2026-08-06T16:36:09.007721Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.007721Z"},"links":{"cited_paper":"/paper/2410.03108","citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:2cdc3b738ad89bfef2d002ff9e878a2a61807c0a608ef2c4214e77fd1d29e9b0","observation_id":"0cee2e97-9889-4a42-9f51-ee37b21b15aa","resolution":{"observed_at":"2026-08-06T16:36:09.007721Z","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":"2026-08-06T16:36:12.707818Z","title":null,"venue":null,"work_id":"f6e4c47b-4bff-4e12-9d96-5a9a013f9d9f","year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.067236Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:e956170c70bf7fbae121167e121c153e793ec14ada8b35494b21fe4d2901dc6d","observation_id":"9442588f-da54-4990-add2-f70e8a12b16f","resolution":{"observed_at":"2026-08-06T16:36:12.786080Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:12.568107Z","title":null,"venue":null,"work_id":"11981bd2-16e3-4b93-9439-dd6cbbe2a346","year":2007},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.128486Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:78da80a8b269fb1e0a7174eec084d0e2743380863473d1b552538c7aa75523de","observation_id":"459965fc-8ae7-4761-b636-8353ff2bb70b","resolution":{"observed_at":"2026-08-06T16:36:12.629797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:12.361080Z","title":null,"venue":null,"work_id":"782c0fc7-9942-4f51-99e8-8c412b9f4277","year":2019},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.211753Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:5711b39b3c223c2b1ef48e840da68edece0edf6577f40244c46d39f9c2dbb33f","observation_id":"76275891-6008-4c01-8969-6a9fdf55168c","resolution":{"observed_at":"2026-08-06T16:36:12.446127Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:09.285259Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.285259Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:901860c566578a38d88604bea18c83de893a838e131c101779aa65ebc516107b","observation_id":"eeb22e58-c919-410c-a45a-c4bd1f1e28c4","resolution":{"observed_at":"2026-08-06T16:36:09.285259Z","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":"2026-08-06T16:36:12.092734Z","title":null,"venue":null,"work_id":"95a503e9-523c-43db-be46-61797643091e","year":2019},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.406822Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:ee9cef3530bb5306d4e03ab6e69b244647d3eedf890f20731b2bfd7d938736f8","observation_id":"9d339d83-18aa-4b23-8c51-9c8c979afd0d","resolution":{"observed_at":"2026-08-06T16:36:12.175869Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:11.838171Z","title":null,"venue":null,"work_id":"496e50f6-8f41-4cb1-b9eb-9e039ae79701","year":2008},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.446921Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:e8993a4edb337fcc086276e7709d29192ecb8f1e03f8b0d08b321b7c715908c4","observation_id":"9478cc41-3e51-4356-8d62-634ae0c5d399","resolution":{"observed_at":"2026-08-06T16:36:11.980744Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:11.597584Z","title":null,"venue":null,"work_id":"afdf7600-d711-47f0-821b-0ee44bbb23b1","year":1999},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.481451Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:75c190c501524ea781d6492b780868e467675aa9b5c62f11cb07c00e9e2931c5","observation_id":"a517c3a5-c0a9-4daf-a387-8b07cc0565c3","resolution":{"observed_at":"2026-08-06T16:36:11.728977Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:11.365515Z","title":"Qi and J","venue":null,"work_id":"d6fa51bc-8125-49fa-896b-765a0596d1a3","year":2023},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.546191Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:b49b9d93cb395a9724fa116107d20acc08a1ce0c257c73c6669da103d4a4d588","observation_id":"fbcc000f-10df-440d-91a2-307f955faaa9","resolution":{"observed_at":"2026-08-06T16:36:11.498234Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:11.133141Z","title":null,"venue":null,"work_id":"e6719aad-d02b-4782-82af-4943a0ee0424","year":2013},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.603986Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:2301f2a4b5137e53141ff1ae4acada3bee2f526b9be25a32c8ad10aea31c4b64","observation_id":"0f36f191-2b5a-4a73-bd2e-de4220924638","resolution":{"observed_at":"2026-08-06T16:36:11.245872Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.13456","last_updated":"2021-02-10T18:17:04Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-11-26T19:39:10Z","title":"Score-Based Generative Modeling through Stochastic Differential Equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.13456","snapshot_observed_at":"2026-08-06T16:36:09.661568Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.661568Z"},"links":{"cited_paper":"/paper/2011.13456","citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:0ace5b35c6954853a5f9fd2769457280a920d84a5c41539d7f6f3ba3df7c8cad","observation_id":"1c1c58a2-5d26-4815-a5f0-96638e287542","resolution":{"observed_at":"2026-08-06T16:36:09.661568Z","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":"2026-08-06T16:36:10.888626Z","title":"Talkner, P","venue":null,"work_id":"adc767a4-ed85-4318-8c7f-78fd3017e2ec","year":1987},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.712239Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:7fa2182fa5ae178abb80576296f2b10772054292b9f90fa5b21e061a358199bb","observation_id":"01382c67-fefd-423b-8ec4-1473110790e1","resolution":{"observed_at":"2026-08-06T16:36:11.018214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:10.746805Z","title":null,"venue":null,"work_id":"e6f74188-0760-4dec-b77d-facab17a587b","year":2020},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.775296Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:4c4ab16af8ee0a0ffc5cd99281ed15b8303100080794e21e88a8959de16f6d7c","observation_id":"b50b5b91-79e5-4076-b162-d0fdc18c724f","resolution":{"observed_at":"2026-08-06T16:36:10.821810Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:10.643267Z","title":null,"venue":null,"work_id":"ed818581-bbf3-4aac-86a5-8205e6260685","year":2021},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.824355Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:e4eddd0eebf4e6622e39643d5f9b0d3ea02413cfb65251b25fba836126dde1f6","observation_id":"299328e6-d287-42de-9d77-3a7bc812ee55","resolution":{"observed_at":"2026-08-06T16:36:10.681918Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:10.545925Z","title":null,"venue":null,"work_id":"2a8615ae-9792-44b3-98ee-e26e03d4bfa6","year":2023},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.883846Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:010b79bfce97904e9afb00d3cdf72163b11cb8ac6485890e0d83088b07d7d0d0","observation_id":"18932e2b-20d1-4eb8-8cd1-e04e3bddeef2","resolution":{"observed_at":"2026-08-06T16:36:10.580597Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:10.425015Z","title":null,"venue":null,"work_id":"be66df02-5bfa-4cb7-9e74-a9796ac650d2","year":2024},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:09.936765Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:d386d685ad739f8006c1ef6f749cebe9759ec841431b1443dbc5c4f4af300d70","observation_id":"b568f08e-0db2-459a-bbe7-e225bed8feb4","resolution":{"observed_at":"2026-08-06T16:36:10.484447Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:10.310620Z","title":"Zarzoso, D","venue":null,"work_id":"809f089b-8183-4f4f-a368-48081ab07e22","year":2022},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:10.017242Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:d8b0a320881687bb555936349cc5471ac75da0bb68a7c4ba985d64c4c51399be","observation_id":"abe2ea9c-aa49-498b-b2de-ac22430daba5","resolution":{"observed_at":"2026-08-06T16:36:10.370794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T16:36:10.224801Z","title":"Zhang and D","venue":null,"work_id":"b365e765-2c87-4345-9148-b18acd36a147","year":2017},"citing_paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T16:36:10.083951Z"},"links":{"citing_paper":"/paper/2507.15990"},"observation_digest":"sha256:2174fad6e535c8c50f733b9ce4ed580768276092038ead1a99817a2009cee359","observation_id":"5176d131-fc30-4765-9776-6dc5539f6594","resolution":{"observed_at":"2026-08-06T16:36:10.267927Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.15990","last_updated":"2025-07-17T13:27:49Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-06T16:27:48.874640Z","submitted_at":"2025-07-17T13:27:49Z","title":"Generative AI Models for Learning Flow Maps of Stochastic Dynamical Systems in Bounded Domains"},"reference_resolution":{"displayed":30,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":30},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2507.15990."}