{"as_of":"2026-08-07T19:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:6dc4cf5262821c6a8e1ca80769c4109dbfe4cd4a5b1e92e9ebd775e812e8f4f9","coverage":[{"denominator":64,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":64,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T06:35:56.284573Z","state":"measured"},{"denominator":64,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":64,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2608.02487/citation-record","integrity":"/paper/2608.02487/integrity","json":"/paper/2608.02487/citation-record.json","paper":"/paper/2608.02487"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T06:35:51.566107Z","title":"Communications in Mathematical Physics , volume=","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:51.566107Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:7ed1ff3f54ed1dc0d8cc16f2fd18d08ed2ab39809eccbce3cc885c8f174a87db","observation_id":"f236121f-2870-40d7-a3a8-1f443aa4c2b3","resolution":{"observed_at":"2026-08-04T06:35:51.566107Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.22670","last_updated":"2026-07-08T18:28:29Z","snapshot_observed_at":"2026-07-12T23:17:30.210371Z","submitted_at":"2026-04-24T15:48:55Z","title":"Curvature of optimal transport with respect to the cost and applications to inverse optimal transport","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.22670","snapshot_observed_at":"2026-08-04T06:35:51.673907Z","title":"arXiv preprint arXiv:2604.22670 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:51.673907Z"},"links":{"cited_paper":"/paper/2604.22670","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:06acc706d7abef5e1c860cada8fdbd6c53da86f2b307952866a7b77a5b4f2012","observation_id":"62d636f1-1d81-45cb-8f9f-0ec6ba12beb2","resolution":{"observed_at":"2026-08-04T06:35:51.673907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.12326","last_updated":"2025-02-17T21:17:03Z","snapshot_observed_at":"2026-08-07T18:10:54.610667Z","submitted_at":"2025-02-17T21:17:03Z","title":"Stability Bounds for Smooth Optimal Transport Maps and their Statistical Implications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.12326","snapshot_observed_at":"2026-08-04T06:35:51.739809Z","title":"arXiv preprint arXiv:2502.12326 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:51.739809Z"},"links":{"cited_paper":"/paper/2502.12326","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:de52f9538da93c574391fb11eed0bba3e45c42eaa972bab2ec9d410ff3282c9f","observation_id":"c6dc0ba5-3294-42d4-ac61-6fa7bd7c5dff","resolution":{"observed_at":"2026-08-04T06:35:51.739809Z","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":"2026-08-04T06:35:51.835909Z","title":"Proceedings of the 39th International Conference on Machine Learning , series =","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:51.835909Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:eda979dee950443664012fbbac7879affeb38b6955deb4215395f6f463142404","observation_id":"4a947ffc-8d05-440f-b15f-9ba312dff2d0","resolution":{"observed_at":"2026-08-04T06:35:51.835909Z","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":"2026-08-04T06:35:51.908960Z","title":"Proceedings of the 40th International Conference on Machine Learning , series =","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:51.908960Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:e03bdb5db4fc16c2fc8e7ccaee9978ada33d11d5861eb7a8d58ac3e72af73cd2","observation_id":"bd4feb70-eff2-4be4-8074-da687ea54f03","resolution":{"observed_at":"2026-08-04T06:35:51.908960Z","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":"2026-08-04T06:35:52.026828Z","title":"The Annals of Statistics , volume =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.026828Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:26a509883ffb0b4bb17a08e0870ce604cbc522a18d66cc020183436aaf9a9edb","observation_id":"a7139901-7edf-4bbc-ad72-77ba32e5da63","resolution":{"observed_at":"2026-08-04T06:35:52.026828Z","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":"2026-08-04T06:35:52.113068Z","title":"International Mathematics Research Notices , volume =","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.113068Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:5e902388f9d8c132c1e69f5dc6e5fafbd351075b352e715f3fb8c01674012386","observation_id":"fdb8326a-e831-4d52-a844-a97cad837619","resolution":{"observed_at":"2026-08-04T06:35:52.113068Z","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":"2026-08-04T06:35:52.227285Z","title":"Probability Theory and Related Fields , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.227285Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:f43ec5974c933f66761a3e0169b8ee419fc2e1e83f3f79f623a01f6d9c090569","observation_id":"50558538-0853-4987-9b18-b964214d98d0","resolution":{"observed_at":"2026-08-04T06:35:52.227285Z","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":"2026-08-04T06:35:52.372907Z","title":"Bernoulli , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.372907Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:b57d59e30d5523d2b92307c8ccbe41961ac69d702dded9d284c2ea7361dc0fb4","observation_id":"002b46c0-7a78-4433-a563-4f8286b9f04d","resolution":{"observed_at":"2026-08-04T06:35:52.372907Z","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":"2026-08-04T06:35:52.503916Z","title":"Journal of the Royal Statistical Society: Series B , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.503916Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:e5f91d6bbbd9b91e613c08bad2ba6f9f927d60331f45458f1c724f72dd0baa3d","observation_id":"4e2b1151-cfab-428c-8eb8-30efeaa36b3d","resolution":{"observed_at":"2026-08-04T06:35:52.503916Z","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":"2026-08-04T06:35:52.614553Z","title":"The Annals of Probability , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.614553Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:fba2c60c4ccfd70e1064c024e0df130a295c5ba9478a102b83e11636dfe88add","observation_id":"e7c48114-9189-4f57-a72f-5975cfbeb8f3","resolution":{"observed_at":"2026-08-04T06:35:52.614553Z","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":"2026-08-04T06:35:52.775922Z","title":"The Annals of Statistics , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.775922Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:fae9c5db3253907044105c493d6c2ba12636d2ba0377903c854b58b24f53c8ce","observation_id":"c08d76a4-0565-4822-9931-3251b01f8de4","resolution":{"observed_at":"2026-08-04T06:35:52.775922Z","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":"2026-08-04T06:35:52.976677Z","title":"Proceedings of the 22nd International Conference on Artificial Intelligence and Statistics , pages =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:52.976677Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:35b010fe1aaef08f00fb5cfc750c3eebc628830d2bd8eaec23070a7c04ea3ba8","observation_id":"524dab9a-5e12-461c-9d89-4c8a2bb9e636","resolution":{"observed_at":"2026-08-04T06:35:52.976677Z","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":"2026-08-04T06:35:53.182194Z","title":"Advances in Neural Information Processing Systems , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:53.182194Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:3ca0fdf666a90f753c1fccf7f713dc787c7b8b45ea2587e67ad909f0f9ccc0e7","observation_id":"e0a8a4a5-34bb-40d7-8883-c077e2c5308a","resolution":{"observed_at":"2026-08-04T06:35:53.182194Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.12004","last_updated":"2024-05-12T17:16:05Z","snapshot_observed_at":"2026-08-05T06:20:27.789728Z","submitted_at":"2021-09-24T14:57:26Z","title":"Entropic estimation of optimal transport maps","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.12004","snapshot_observed_at":"2026-08-04T06:35:53.332568Z","title":"arXiv preprint arXiv:2109.12004 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:53.332568Z"},"links":{"cited_paper":"/paper/2109.12004","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:4c8bf644c69ee6cfc68f8293a92b12639ed0a17ecc62fa42c12f20523da68c4c","observation_id":"2fb3c3bd-4ade-4bdc-b7d2-1ead9b488797","resolution":{"observed_at":"2026-08-04T06:35:53.332568Z","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":"2026-08-04T06:35:53.515223Z","title":"Electronic Journal of Statistics , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:53.515223Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:31cf22faf07985ff858f1a1c7c729490cc8017e2c64fa617fb0162906708a804","observation_id":"9b4c9f2a-cff7-4df1-8d22-d9b0db3b6ac8","resolution":{"observed_at":"2026-08-04T06:35:53.515223Z","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":"2026-08-04T06:35:53.646040Z","title":"The Annals of Statistics , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:53.646040Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:78f32e9a169563c71d502836832a76056e83e94cab3416af91afb801398b642d","observation_id":"6ec9f357-9741-4457-8e16-00a734a1d42b","resolution":{"observed_at":"2026-08-04T06:35:53.646040Z","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":"2026-08-04T06:35:53.834335Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:53.834335Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:8cfba9f2cae4094abecd659c26c0171688e36d37cb93341fa726a81a56747590","observation_id":"98f6013c-a6d2-4afc-993a-6bf063f44c5d","resolution":{"observed_at":"2026-08-04T06:35:53.834335Z","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":"2026-08-04T06:35:54.015647Z","title":"arXiv preprint arXiv:2502.01310 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.015647Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:c0fa27a146ea38967fe22487cf7cf1eaa06e52fe59e805183daa0ac62a2dc1f3","observation_id":"87c5c040-c873-4f31-9fef-b32d7da66af0","resolution":{"observed_at":"2026-08-04T06:35:54.015647Z","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":"2026-08-04T06:35:54.150024Z","title":"Numerische Mathematik , volume=","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.150024Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:e5165b2977274da51d45e8b240b9c8edd35c484da409b52ab87533ed743e1e9a","observation_id":"fb39125d-2ae5-420d-96da-93ec4d010aba","resolution":{"observed_at":"2026-08-04T06:35:54.150024Z","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":"2026-08-04T06:35:54.316910Z","title":"A Survey of the Schr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.316910Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:f9e176eb6a66a1e9c0dd3df40cfa5622b66892b9e5848f0192a929caacd1a8e3","observation_id":"53f8f462-f7da-4989-8981-ae2c5059f194","resolution":{"observed_at":"2026-08-04T06:35:54.316910Z","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":"2026-08-04T06:35:54.406845Z","title":"An Optimal Transport Approach for the Schr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.406845Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:3b133cfd510849ad835d9574a493515c5a34b1896627fd2a370165348ceff048","observation_id":"5fbd8ff6-82ae-4826-9478-ba89fa55f5b0","resolution":{"observed_at":"2026-08-04T06:35:54.406845Z","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":"2026-08-04T06:35:54.480763Z","title":"Probability Theory and Related Fields , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.480763Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:d6f4603bef862430eac60c7976762be76e33468f82bb3698a771aa50e2f464e8","observation_id":"9ae58bb0-e821-49fb-bc03-2a39ed5274bf","resolution":{"observed_at":"2026-08-04T06:35:54.480763Z","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":"2026-08-04T06:35:54.560945Z","title":"Duke Mathematical Journal , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.560945Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:22715ac16844107648815fe9ce86dfc2077fe48ca4f9d7797dab3d3e2ae5a6fd","observation_id":"3613e7ec-1d12-4223-a5d6-65e02e954ca9","resolution":{"observed_at":"2026-08-04T06:35:54.560945Z","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":"2026-08-04T06:35:54.641739Z","title":"Diffusion Schr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.641739Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:62084d138e27db8a248be5d8f347563f717528d2c11a32be18ef9a3f140362b3","observation_id":"90462ef1-d1a8-4200-8389-29b4939e15d5","resolution":{"observed_at":"2026-08-04T06:35:54.641739Z","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":"2026-08-04T06:35:54.677769Z","title":"Diffusion Bridge Mixture Transports, Schr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.677769Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:22b3b44de280334847cebfcbfd739caabfdca639bd65334992ec0c981e249e69","observation_id":"3f6c5d35-eb8a-4af7-8ad7-b3e76871254e","resolution":{"observed_at":"2026-08-04T06:35:54.677769Z","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":"2026-08-04T06:35:54.771285Z","title":"Diffusion & Adversarial Schr","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.771285Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:a5c7d40bfc4ae6d3f074468a26f3b78c12855be1362f2c35d7d45f4d515fef8a","observation_id":"fb88078d-b4cb-42a9-be22-ad29c187457b","resolution":{"observed_at":"2026-08-04T06:35:54.771285Z","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":"2026-08-04T06:35:54.847500Z","title":"arXiv preprint arXiv:2510.20871 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.847500Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:ccc74b53ae5f43ed404104b58103137f2f46e218edec1864435455383de6e723","observation_id":"2eed8b40-b71e-40d9-bbe3-073d47b09180","resolution":{"observed_at":"2026-08-04T06:35:54.847500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.14577","last_updated":"2022-09-29T06:37:26Z","snapshot_observed_at":"2026-08-02T10:38:01.750409Z","submitted_at":"2022-09-29T06:37:26Z","title":"Rectified Flow: A Marginal Preserving Approach to Optimal Transport","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.14577","snapshot_observed_at":"2026-08-04T06:35:54.948779Z","title":"arXiv preprint arXiv:2209.14577 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:54.948779Z"},"links":{"cited_paper":"/paper/2209.14577","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:dc5b07c258a15a841e6996b2b08af8f3dbd6691c9b8df8e5d744b6d7b8870696","observation_id":"fd24f2bf-d9ef-4535-9d58-dbaeed878e36","resolution":{"observed_at":"2026-08-04T06:35:54.948779Z","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":"2026-08-04T06:35:55.047696Z","title":"International Conference on Learning Representations , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.047696Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:1a87a5ca2d4ecf3a5b392268dd448635eb0126265084f23dc538e0acadc5a400","observation_id":"9d9a8735-26f7-4e5a-ac88-8316e27017eb","resolution":{"observed_at":"2026-08-04T06:35:55.047696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.08797","last_updated":"2025-10-09T00:43:44Z","snapshot_observed_at":"2026-07-06T15:03:52.079498Z","submitted_at":"2023-03-15T17:43:42Z","title":"Stochastic Interpolants: A Unifying Framework for Flows and Diffusions","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.08797","snapshot_observed_at":"2026-08-04T06:35:55.148318Z","title":"arXiv preprint arXiv:2303.08797 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.148318Z"},"links":{"cited_paper":"/paper/2303.08797","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:009c50b5b5c394fa22257e346b791072f4f4c368f8fef0b35b80d797fad83dd0","observation_id":"3ba1e415-6815-4a84-93c3-dc62ca8848c5","resolution":{"observed_at":"2026-08-04T06:35:55.148318Z","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":"2026-08-04T06:35:55.214350Z","title":"International Conference on Learning Representations , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.214350Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:9ea0a061058e3e92b8b14e59ca65655db62f00066f59c84eb1e0b21aa55f651a","observation_id":"509ed85a-5468-47bb-a0a1-1e7eb104d5c6","resolution":{"observed_at":"2026-08-04T06:35:55.214350Z","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":"2026-08-04T06:35:55.278398Z","title":"arXiv preprint arXiv:2504.13336 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.278398Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:a4bbfdff5b39fc5a38ecff79f37fe77823889e6e44e87ba963dd90d115ff98b1","observation_id":"faf1c190-a3fc-4814-9692-421676014d44","resolution":{"observed_at":"2026-08-04T06:35:55.278398Z","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":"2026-08-04T06:35:55.345073Z","title":"arXiv preprint arXiv:2601.20250 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.345073Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:a6d1c379c911e251452e00c4b70d92a6b1215a5919dab43fe145778f67dd88b6","observation_id":"5bdfc0eb-156f-45bc-a73d-ec5a74d063b8","resolution":{"observed_at":"2026-08-04T06:35:55.345073Z","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":"2026-08-04T06:35:55.393427Z","title":"Transactions on Machine Learning Research , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.393427Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:6c414b2ba14b6dc89d638b324345ab60bd2a6a758bf432959028e12c1865831e","observation_id":"25c7255b-e189-46d4-8e2f-dbd6f7c252c4","resolution":{"observed_at":"2026-08-04T06:35:55.393427Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.14772","last_updated":"2023-05-24T18:17:17Z","snapshot_observed_at":"2026-08-04T22:11:01.572110Z","submitted_at":"2023-04-28T11:33:08Z","title":"Multisample Flow Matching: Straightening Flows with Minibatch Couplings","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.14772","snapshot_observed_at":"2026-08-04T06:35:55.484502Z","title":"arXiv preprint arXiv:2304.14772 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.484502Z"},"links":{"cited_paper":"/paper/2304.14772","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:e2da8fc01db3be4a7a6934d2b83852bc92aca2bdb12f8288c11c51369417ca7c","observation_id":"159bbcda-be56-4626-b9ad-36f70f29afcb","resolution":{"observed_at":"2026-08-04T06:35:55.484502Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.14949","last_updated":"2026-05-15T22:45:06Z","snapshot_observed_at":"2026-08-03T04:34:56.086582Z","submitted_at":"2024-10-19T02:36:11Z","title":"On the Convergence and Straightness of Rectified Flow","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.14949","snapshot_observed_at":"2026-08-04T06:35:55.596849Z","title":"arXiv preprint arXiv:2410.14949 , year =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.596849Z"},"links":{"cited_paper":"/paper/2410.14949","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:1bec67e3bf349f72e6d165934407617ff9834d71f871c7fb8c520a7802a562df","observation_id":"4fffd1be-6d09-4d88-baea-ddc7dcffbe99","resolution":{"observed_at":"2026-08-04T06:35:55.596849Z","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":"2026-08-04T06:35:55.680714Z","title":"Proceedings of the 37th International Conference on Machine Learning , pages =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.680714Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:8faff9b0e11e510c820f7fc41b91cba9000537cec8c127828ae1a19bb968223a","observation_id":"c4419b72-955e-4f56-84ce-6abae376abbe","resolution":{"observed_at":"2026-08-04T06:35:55.680714Z","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":"2026-08-04T06:35:55.750989Z","title":"The Annals of Statistics , volume =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.750989Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:bc60e586c933845b5b19407d40aa4d32838bde73c5c8bb9af18adc7fbd3c9250","observation_id":"fba71e68-9f5d-4b43-a668-400987c9d9a3","resolution":{"observed_at":"2026-08-04T06:35:55.750989Z","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":"2026-08-04T06:35:55.859768Z","title":"2021 , publisher=","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.859768Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:f177b1e43ebfd37b819906a7e5df549ede60cd438c142570a8a7d5ba1841c0ea","observation_id":"2282c4b3-76e9-4893-910e-7ff8cc5c4aca","resolution":{"observed_at":"2026-08-04T06:35:55.859768Z","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":"2026-08-04T06:35:55.943420Z","title":"Foundations and Trends in Machine Learning , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:55.943420Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:3227eea010782bb2145e76b0b69439fbebcb32fc6f5fb096338922fa9e4d6340","observation_id":"e00ee1a1-7341-43ba-b26d-c3683cd60f1d","resolution":{"observed_at":"2026-08-04T06:35:55.943420Z","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":"2026-08-04T06:35:56.061999Z","title":"2009 , publisher=","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.061999Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:3e7a6fba1fab329cf0e2018ea51578956221d7cc200362df33d6997171032b08","observation_id":"c77eca90-5413-4799-ad9f-876741f3909e","resolution":{"observed_at":"2026-08-04T06:35:56.061999Z","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":"2026-08-04T06:35:56.141887Z","title":"Cell , volume=","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.141887Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:a8af29fbf500ded413a9a0e38fa5e04831d1940a03ad19b63a9105ffa32ebbb1","observation_id":"75f8d353-6d11-4f4a-85dd-f8fd511f732c","resolution":{"observed_at":"2026-08-04T06:35:56.141887Z","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":"2026-08-04T06:35:56.196914Z","title":"Journal of Computational Physics , volume=","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.196914Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:5f82d01c9a8a32222809e7ad0aacfad76225c1c0bd204fd2693b810330d96d14","observation_id":"ebc5b69b-78eb-4bd3-aa77-2149ff6de56a","resolution":{"observed_at":"2026-08-04T06:35:56.196914Z","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":"2026-08-04T06:35:56.202010Z","title":"The Annals of Statistics , number =","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.202010Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:ae207a85f66073b459e9949e805838c3fbb620bf50e8bcd7f0ed43d507829f17","observation_id":"923e5d19-c069-4179-8bae-c53e90ca8ef2","resolution":{"observed_at":"2026-08-04T06:35:56.202010Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.13472","last_updated":"2022-06-27T17:25:47Z","snapshot_observed_at":"2026-07-06T13:25:09.618771Z","submitted_at":"2022-06-27T17:25:47Z","title":"On the sample complexity of entropic optimal transport","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.13472","snapshot_observed_at":"2026-08-04T06:35:56.206526Z","title":"arXiv preprint arXiv:2206.13472 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.206526Z"},"links":{"cited_paper":"/paper/2206.13472","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:53d604e8221712c1a521e4d10ef4a7f611ba3166116529854d861dfe71c5ce13","observation_id":"3d2f3075-f2b2-4e7f-9a65-6f1125532e34","resolution":{"observed_at":"2026-08-04T06:35:56.206526Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.03003","last_updated":"2022-09-07T08:59:55Z","snapshot_observed_at":"2026-07-06T13:49:40.974495Z","submitted_at":"2022-09-07T08:59:55Z","title":"Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.03003","snapshot_observed_at":"2026-08-04T06:35:56.211251Z","title":"arXiv preprint arXiv:2209.03003 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.211251Z"},"links":{"cited_paper":"/paper/2209.03003","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:1d721054e9a205d1bf7a7ad0150879a72446b13ccae9d65273f5cfdf98b62b21","observation_id":"f17ac491-7dad-460c-8b4a-94c72013df8d","resolution":{"observed_at":"2026-08-04T06:35:56.211251Z","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":"2026-08-04T06:35:56.215642Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.215642Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:e661826e24d2a5ce7f58c3bb850b440bbf6e9097454f8751ada7a789602a3d9d","observation_id":"4bd93a75-d885-4a58-b48a-7e3446603b9e","resolution":{"observed_at":"2026-08-04T06:35:56.215642Z","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":"2026-08-04T06:35:56.219690Z","title":"Proceedings of the 41st International Conference on Machine Learning , series=","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.219690Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:906d8d9603ca23adcf2cfc1b061a38170df986643c1fe65fc9ed1a366bb83e1b","observation_id":"a4fd5fd2-eaaf-4b49-861e-60dafe2130b9","resolution":{"observed_at":"2026-08-04T06:35:56.219690Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.15742","last_updated":"2025-06-24T05:31:03Z","snapshot_observed_at":"2026-07-06T21:44:22.901650Z","submitted_at":"2025-06-17T20:18:23Z","title":"FLUX.1 Kontext: Flow Matching for In-Context Image Generation and Editing in Latent Space","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.15742","snapshot_observed_at":"2026-08-04T06:35:56.224165Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.224165Z"},"links":{"cited_paper":"/paper/2506.15742","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:5525336b53f8994139ecef03cbeabfabcd0ac23a6afba3ff3506d9f5da5cf3b9","observation_id":"2cc5a562-dcb9-471e-a35d-810412ed163a","resolution":{"observed_at":"2026-08-04T06:35:56.224165Z","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":"2026-08-04T06:35:56.228808Z","title":"Journal of Optimization Theory and Applications , volume=","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.228808Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:7aad9760e57357ed11be79f6bb6f6c5894143a637e59efea071a54161e98ce3a","observation_id":"ec187fe2-d3dd-4eda-8242-abadff2c0edb","resolution":{"observed_at":"2026-08-04T06:35:56.228808Z","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":"2026-08-04T06:35:56.232797Z","title":"Bernoulli , volume=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.232797Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:54880da0a77987d2b21a7cefd9897787ec0ae12ffdc53666411ebb88ef9efb4d","observation_id":"fd604c2e-ba21-4e23-8ad4-1a5813b10772","resolution":{"observed_at":"2026-08-04T06:35:56.232797Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.07032","last_updated":"2024-09-11T06:02:47Z","snapshot_observed_at":"2026-07-06T19:13:33.255300Z","submitted_at":"2024-09-11T06:02:47Z","title":"From optimal score matching to optimal sampling","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.07032","snapshot_observed_at":"2026-08-04T06:35:56.237364Z","title":"arXiv preprint arXiv:2409.07032 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.237364Z"},"links":{"cited_paper":"/paper/2409.07032","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:d2e657e67eb7ba9dfc3409c0c33b56b0aadb57e2150c9141a10e64e98b01d855","observation_id":"96d1bae7-2d5d-43ff-a057-341dffe7315a","resolution":{"observed_at":"2026-08-04T06:35:56.237364Z","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":"2026-08-04T06:35:56.241929Z","title":"Journal of Machine Learning Research , volume=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.241929Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:8017a5cf62b6aeb3b76a1326421173460f950e72c2117e414f227b70e7da4f60","observation_id":"ccd34486-f761-40c7-91ce-8834cad8cfcf","resolution":{"observed_at":"2026-08-04T06:35:56.241929Z","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":"2026-08-04T06:35:56.245979Z","title":"Neural Computation , volume=","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.245979Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:1f999bf62f0788249450bfc85a299f5dfd299e27c3f6ccd83fff82ace584633e","observation_id":"2cb9a35b-347f-4663-8903-6be08a57ce78","resolution":{"observed_at":"2026-08-04T06:35:56.245979Z","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":"2026-08-04T06:35:56.250108Z","title":"International Conference on Learning Representations , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.250108Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:999250a2cea526586a4d9441c3015974c3aced4e303d6b1c8d163e154993a5bf","observation_id":"d53f49bd-8acf-432e-a71a-bf0196ba70dc","resolution":{"observed_at":"2026-08-04T06:35:56.250108Z","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":"2026-08-04T06:35:56.254205Z","title":"arXiv preprint arXiv:2511.03193 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.254205Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:20a969e46bf9fb1973eccb4b066c71825e0f9b0b61b6272e9e0e998fca6c2847","observation_id":"7cc49527-c347-419a-84a1-0ca713e5933a","resolution":{"observed_at":"2026-08-04T06:35:56.254205Z","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":"2026-08-04T06:35:56.258477Z","title":"arXiv preprint arXiv:2505.19712 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.258477Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:a7db92a9937bf7dae99bcd67c40a1ca1db35c0a7ca7d13c94b47ff4aa55ee2f3","observation_id":"198ee02b-4c52-44c5-ba2d-1117e8db5589","resolution":{"observed_at":"2026-08-04T06:35:56.258477Z","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":"2026-08-04T06:35:56.262890Z","title":"Journal of Machine Learning Research , volume=","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.262890Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:f25f70bff45266a8e24b42b04e52b80cc97dbc2c3e8ed32c8bc0fea4dbb55306","observation_id":"2483b0e9-492b-475c-9682-67c53a34e137","resolution":{"observed_at":"2026-08-04T06:35:56.262890Z","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":"2026-08-04T06:35:56.267302Z","title":"Geometric & Functional Analysis GAFA , volume=","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.267302Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:eee1fc629fd0b2888bb8a942102709baac707869b87dd3d3e69f81d26788d54b","observation_id":"7165a648-387c-4d0d-aa15-ed701df887fe","resolution":{"observed_at":"2026-08-04T06:35:56.267302Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1003.3852","last_updated":"2010-03-19T17:59:17Z","snapshot_observed_at":"2026-07-06T02:05:49.373265Z","submitted_at":"2010-03-19T17:59:17Z","title":"Transport Inequalities. A Survey","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1003.3852","snapshot_observed_at":"2026-08-04T06:35:56.271692Z","title":"A survey , author=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.271692Z"},"links":{"cited_paper":"/paper/1003.3852","citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:ccbfcc91111854d5c67f6a204426864a3319ec26f8f6819964a78f81a230177a","observation_id":"3f3dc607-96c6-417e-90aa-652e61616dbd","resolution":{"observed_at":"2026-08-04T06:35:56.271692Z","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":"2026-08-04T06:35:56.276101Z","title":"Stochastic Analysis, Filtering, and Stochastic Optimization: A Commemorative Volume to Honor Mark HA Davis's Contributions , pages=","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.276101Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:40db2085c4f903f2e70fa41130a90452f0c45f0597596e357b105eb525519e6f","observation_id":"77d2ff93-9c7e-48df-ad4e-9439913351b9","resolution":{"observed_at":"2026-08-04T06:35:56.276101Z","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":"2026-08-04T06:35:56.280442Z","title":"The Annals of Probability , pages=","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.280442Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:1a70ed44a7c095aaa236094b923cacd6dd017930ae77994af511399de647847c","observation_id":"da23223f-8047-4fac-9303-7bfa1d097d90","resolution":{"observed_at":"2026-08-04T06:35:56.280442Z","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":"2026-08-04T06:35:56.284573Z","title":"Comptes rendus des s","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-04T06:35:56.284573Z"},"links":{"citing_paper":"/paper/2608.02487"},"observation_digest":"sha256:ba7bdb5274471b69ce3a0e965b05bfc38986c85a505471f49b30b02fdb71bc5b","observation_id":"fe92ddeb-246e-4ba3-9559-be779a0bad02","resolution":{"observed_at":"2026-08-04T06:35:56.284573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2608.02487","last_updated":"2026-08-03T16:53:29Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-06T23:38:16.974316Z","submitted_at":"2026-08-03T16:53:29Z","title":"Computational and Statistical Guarantees of the \\textit{c}-Rectified flow"},"reference_resolution":{"displayed":64,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":64,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":64},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 7 August 2026, this Paper Citation Record lists 64 of 64 outbound references and 0 inbound Pith citation observations for arXiv:2608.02487."}