{"as_of":"2026-08-12T08:52:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:03feb94a46fdeaf116063590c7c92f433ec1106085b16222833d2d7207f16180","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:43:09.317303Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-01T22:26:17.636506Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-08-07T14:43:09.317303Z","title":"Minibatch optimal transport distances; analysis and applications","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.18005","last_updated":"2025-05-23T15:09:04Z","snapshot_observed_at":"2026-08-07T14:34:40.371550Z","submitted_at":"2025-05-23T15:09:04Z","title":"Distances for Markov chains from sample streams","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T14:43:09.317303Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2505.18005"},"observation_digest":"sha256:d02fc1c7bc4475e97f449a9aac05b475504040bb603dc816ca972518b33b7cc4","observation_id":"8d9481bd-83e4-4c52-a489-b67a4d27371f","resolution":{"observed_at":"2026-08-07T14:43:09.317303Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-08-06T16:32:57.123312Z","title":"Fatras, Y","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.13350","last_updated":"2025-07-17T17:59:56Z","snapshot_observed_at":"2026-08-12T03:12:23.423615Z","submitted_at":"2025-07-17T17:59:56Z","title":"Hierarchical Rectified Flow Matching with Mini-Batch Couplings","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T16:32:57.123312Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2507.13350"},"observation_digest":"sha256:ff09ba336cbf00b95e404948d400cfd4673a05441446db91a4f94aee30336700","observation_id":"4ed95ee1-11a0-4fc2-b40c-fb2e370bd6de","resolution":{"observed_at":"2026-08-06T16:32:57.123312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":"2101.01792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-01T22:26:17.636506Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":"58494bf2-bc1a-4d9d-83da-dd20866c29c2","year":2021},"citing_paper":{"arxiv_id":"2605.07665","last_updated":"2026-05-08T12:35:21Z","snapshot_observed_at":"2026-07-06T23:20:01.856093Z","submitted_at":"2026-05-08T12:35:21Z","title":"Debiased Counterfactual Generation via Flow Matching from Observations","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-05-11T01:58:46.941794Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2605.07665"},"observation_digest":"sha256:cfd47a6107e58ecbfa5d90e07f976c1026328f69cce648e177eb49cfb628fc66","observation_id":"b09ec350-6e37-4d78-9b91-b360cb07e14d","resolution":{"observed_at":"2026-05-11T04:05:55.795108Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":"2101.01792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-01T22:26:17.636506Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":"58494bf2-bc1a-4d9d-83da-dd20866c29c2","year":2021},"citing_paper":{"arxiv_id":"2605.12174","last_updated":"2026-05-12T14:19:09Z","snapshot_observed_at":"2026-07-06T23:23:54.142937Z","submitted_at":"2026-05-12T14:19:09Z","title":"Expected Batch Optimal Transport Plans and Consequences for Flow Matching","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:e438cbe21223efac224e6953cef8acce28b4a1a53f4b37090c98c9885041666d","observation_id":"97cf9acc-63b0-4d1a-b420-b607a6a33a22","resolution":{"observed_at":"2026-05-13T07:22:29.287388Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":"2101.01792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-01T22:26:17.636506Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":"58494bf2-bc1a-4d9d-83da-dd20866c29c2","year":2021},"citing_paper":{"arxiv_id":"2605.28075","last_updated":"2026-05-27T07:31:04Z","snapshot_observed_at":"2026-07-06T23:37:40.695655Z","submitted_at":"2026-05-27T07:31:04Z","title":"Measure-to-measure Regression with Transformers","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T14:46:53.510044Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2605.28075"},"observation_digest":"sha256:899c6535a4a20e7c9951cdbfc23ea08f75b98bb091fe6e1bddddf67d38aa9219","observation_id":"07197684-ed9b-468f-80de-1abb8bfa1a31","resolution":{"observed_at":"2026-06-29T14:53:31.304488Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":"2101.01792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-01T22:26:17.636506Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":"58494bf2-bc1a-4d9d-83da-dd20866c29c2","year":2021},"citing_paper":{"arxiv_id":"2605.28134","last_updated":"2026-07-13T11:00:54Z","snapshot_observed_at":"2026-08-01T19:13:56.112447Z","submitted_at":"2026-05-27T08:20:24Z","title":"Convergence of empirical subgradients for optimal transport-based objectives","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T11:18:27.226352Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2605.28134"},"observation_digest":"sha256:2f7a4ab54128346315306d6d21e15d348a162fc9fb904f77c699464691bd83e6","observation_id":"89b9f06e-86bc-45c3-87dd-39a0dd243d50","resolution":{"observed_at":"2026-06-29T11:23:21.284575Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-14T18:41:00.296741Z","title":"Fatras, Y","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2605.28134","last_updated":"2026-07-13T11:00:54Z","snapshot_observed_at":"2026-08-01T19:13:56.112447Z","submitted_at":"2026-05-27T08:20:24Z","title":"Convergence of empirical subgradients for optimal transport-based objectives","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-07-14T18:41:00.296741Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2605.28134"},"observation_digest":"sha256:9cf7cff1576051d2d46e0e3c88d356833dd9a3dfc77f0f8b26a08ee632895faf","observation_id":"ea624f16-2c86-44da-af00-dd8b952ffd8b","resolution":{"observed_at":"2026-07-14T18:41:00.296741Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":"2101.01792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-01T22:26:17.636506Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":"58494bf2-bc1a-4d9d-83da-dd20866c29c2","year":2021},"citing_paper":{"arxiv_id":"2605.30635","last_updated":"2026-05-28T22:37:54Z","snapshot_observed_at":"2026-08-09T08:38:11.473819Z","submitted_at":"2026-05-28T22:37:54Z","title":"CellBRIDGE: Learning Cellular Trajectories via Interaction-Aware Alignment","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T08:30:15.041235Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2605.30635"},"observation_digest":"sha256:973ebe084ca2a47dde7d1292bb21bbbde79e0edd23475959ac709aff4047a1dc","observation_id":"81eb9b3c-bdf6-4e6d-b270-8ce1edb595eb","resolution":{"observed_at":"2026-06-29T08:33:14.989015Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":"2101.01792","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-07-01T22:26:17.636506Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":"58494bf2-bc1a-4d9d-83da-dd20866c29c2","year":2021},"citing_paper":{"arxiv_id":"2606.02515","last_updated":"2026-06-01T17:26:04Z","snapshot_observed_at":"2026-08-09T08:21:18.808792Z","submitted_at":"2026-06-01T17:26:04Z","title":"A Biconvex Formulation for Stable Transport of Mixture Models with a Unique Solution","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T15:23:58.651440Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2606.02515"},"observation_digest":"sha256:95499d6ede4f744586397b01d7c3511fe3ec80d265523715b2edc9f2e575383f","observation_id":"e8dbdf91-1574-43a2-8b14-bb1f425db8b7","resolution":{"observed_at":"2026-07-01T22:26:17.637961Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-08-01T06:40:06.137559Z","title":"arXiv preprint arXiv:2101.01792 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.21847","last_updated":"2026-07-23T22:32:00Z","snapshot_observed_at":"2026-08-08T18:19:58.489492Z","submitted_at":"2026-07-23T22:32:00Z","title":"Distributional Determinantal Point Process for Repulsive Clustering of Distributions","version":1},"reference_index":138,"source":"arxiv_source","source_observed_at":"2026-08-01T06:40:06.137559Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2607.21847"},"observation_digest":"sha256:934ac8a6ad03696df652fb490ab7e02cc3220d66992fa38dcbb22b42fe061aa5","observation_id":"5f1fbbca-d845-4ad4-a6c3-4ffbc1532478","resolution":{"observed_at":"2026-08-01T06:40:06.137559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2101.01792","snapshot_observed_at":"2026-08-01T08:41:11.129938Z","title":"Minibatch optimal transport distances; analysis and applications.arXiv preprint arXiv:2101.01792, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.27372","last_updated":"2026-07-29T18:25:17Z","snapshot_observed_at":"2026-08-08T11:48:16.614235Z","submitted_at":"2026-07-29T18:25:17Z","title":"Explorative Modeling: Unlocking a Third Pretraining Axis and End-to-End Generation","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-01T08:41:11.129938Z"},"links":{"cited_paper":"/paper/2101.01792","citing_paper":"/paper/2607.27372"},"observation_digest":"sha256:dc90932b4afc3c7ffad1fcef6b16ca73dbd51362fde4f95d5a84d68a6c0cdde1","observation_id":"6845c312-c272-45b3-9b9e-7cd93a752156","resolution":{"observed_at":"2026-08-01T08:41:11.129938Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2101.01792/citation-record","integrity":"/paper/2101.01792/integrity","json":"/paper/2101.01792/citation-record.json","paper":"/paper/2101.01792"},"outbound":[],"paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-10T12:02:37.826524Z","submitted_at":"2021-01-05T21:29:31Z","title":"Minibatch optimal transport distances; analysis and applications"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2101.01792."}