{"as_of":"2026-08-15T04:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d38caadb6d94b2d6c9f2188287439b33b1f0428d3a11ee984a196d423cb4ff4","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-13T07:19:35.020831Z","state":"measured"},{"denominator":41,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":41,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T15:58:54.516998Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T00:40:59.121987Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_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},"cited_work":{"arxiv_id":"2605.12174","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.12174","snapshot_observed_at":"2026-08-06T00:40:59.121987Z","title":"Expected Batch Optimal Transport Plans and Consequences for Flow Matching","venue":"cs.LG","work_id":"04267f33-146f-4e22-b64c-ef05ccf5fbf0","year":2026},"citing_paper":{"arxiv_id":"2608.00978","last_updated":"2026-08-02T04:03:59Z","snapshot_observed_at":"2026-08-14T18:26:18.450600Z","submitted_at":"2026-08-02T04:03:59Z","title":"One-Sided Quantile Coupling for Flow Matching","version":1},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-06T00:40:56.741932Z"},"links":{"cited_paper":"/paper/2605.12174","citing_paper":"/paper/2608.00978"},"observation_digest":"sha256:d53051ed8180f0f97ac5691b79d9c544d94297e601034089d98af5a31b705a79","observation_id":"58a93efe-00f6-4783-9a50-7fd595f48584","resolution":{"observed_at":"2026-08-06T00:40:59.226412Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_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},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.12174","snapshot_observed_at":"2026-08-10T15:58:54.516998Z","title":"Boïté, J","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.07042","last_updated":"2026-08-07T09:51:33Z","snapshot_observed_at":"2026-08-14T16:06:47.025902Z","submitted_at":"2026-08-07T09:51:33Z","title":"Limit Points of Reflow with Minibatch Optimal Transport","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T15:58:54.516998Z"},"links":{"cited_paper":"/paper/2605.12174","citing_paper":"/paper/2608.07042"},"observation_digest":"sha256:b0bafc0dc1dce601ac428e29cfb341f13d8564ba6c63ec82054c31845b7dba02","observation_id":"d447f36a-3177-4f8d-ac5c-213f6fca6b31","resolution":{"observed_at":"2026-08-10T15:58:54.516998Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2605.12174/citation-record","integrity":"/paper/2605.12174/integrity","json":"/paper/2605.12174/citation-record.json","paper":"/paper/2605.12174"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"S., Goldstein, M., Boffi, N","venue":null,"work_id":"7fd2fd8a-37cf-4e36-a544-15b1259528e2","year":2024},"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":1,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:a27caf2b45d25eaf93f8d1867d33bf5178199bc1c23a4b5c798c7b9dcedbffaf","observation_id":"b2502d14-50b5-45a8-a1c9-3356a5b3a749","resolution":{"observed_at":"2026-05-13T08:27:33.588828Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4cf75b15-6e68-4538-b7a6-520afeba6be9","year":2005},"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":2,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:4ca3626c4b3b517b4f57882c575e6bbccef30712c73351d8e8e27c5d20f13e46","observation_id":"381669af-21f4-47bf-9c16-12461227e3f0","resolution":{"observed_at":"2026-05-13T08:27:33.612697Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Kitagawa, J","venue":null,"work_id":"59ea7de8-f9cc-4721-95f6-f799213924bf","year":2022},"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":3,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:6653ba733831abd6a622eb7e47b9462d3bc988187c8a44fcfa240ee44cb400c1","observation_id":"ee84a626-5d4c-49dc-ae7c-efc0ac1025ed","resolution":{"observed_at":"2026-05-13T08:27:33.581919Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9a999329-8ab8-4884-9578-55dc770e19bf","year":2025},"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":4,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:f620c6c9f74b1ce7eb004e9deb81a9168982e1c0b6202e2d6681cbb3c02a6f6f","observation_id":"7ddb9106-3e57-49c9-a693-15561fcfd5c6","resolution":{"observed_at":"2026-05-13T08:27:33.616366Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Ledoux, M","venue":null,"work_id":"4cae621a-f755-4642-867a-8c3de802cbc7","year":2019},"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":5,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:261a4b5b1849f2359357588187333e3f19a6895df49bd74b384247132d60b082","observation_id":"589a7be5-27d3-4bc7-a876-88958ba80aa8","resolution":{"observed_at":"2026-05-13T08:27:33.631647Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Massart, P","venue":null,"work_id":"17769537-6481-43f9-b201-3066de1a8be2","year":2011},"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":6,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:4a48494a29a5d60573b0944171ae6b5b6a3d0832bc783cdf96af174e8a02d93f","observation_id":"a69006a5-fe62-445c-a43a-2381f1407ae8","resolution":{"observed_at":"2026-05-13T08:27:33.620521Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"9930c5ce-878b-4a73-bd0b-5079ceefce86","year":2018},"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":7,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:0d93c0c7b80c74b8fbb1e92ddbe2c1361af3aa87d7630f0efd8e1751cde44307","observation_id":"a46d2f0b-2557-4d7e-a4a1-e083105628c4","resolution":{"observed_at":"2026-05-13T08:27:33.609453Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0c6225f6-dfca-4250-bce7-5d486f31ebd6","year":2024},"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":8,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:5bbfe77b3f06c67a1c5df75df5ee887be5b72641860b6127895f8536ea754ee6","observation_id":"7c0c1501-0bc0-44b8-b5dc-a7e880f110da","resolution":{"observed_at":"2026-05-13T08:27:33.585689Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.17846","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T22:57:26.165148Z","title":"arXiv preprint arXiv:2602.17846 , year=","venue":null,"work_id":"5e856189-a1c6-4b61-9c8b-8ddb34af623e","year":2026},"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":9,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:da0d386bdf8bd2fc8315bcc4cb50f303e7d4cb35f2228a842d1af834b5a80b5d","observation_id":"447c5d78-242d-45db-8b74-4fe974105205","resolution":{"observed_at":"2026-05-13T07:22:29.277007Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1b32fe6c-4c4b-41df-af74-b3a4e3e75411","year":null},"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":10,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:8e15c790ea5e86450fdcbe06a48c64948160dfc1d9f87b6be8c700a4c3fbe5ea","observation_id":"eb29c0a0-8962-416b-9e1c-863d12d5f069","resolution":{"observed_at":"2026-05-13T08:27:33.606074Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a58ea23b-35d0-4541-83f7-c792ef58a0b5","year":2020},"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":11,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:d1c634a16df830220ac8a389fa922cc55a21faa3fa2e8c6ff3dcb6d1013550a8","observation_id":"f2a6efb2-5769-4e95-be2f-f1d4519f9064","resolution":{"observed_at":"2026-05-13T08:27:33.627944Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2101.01792","last_updated":"2021-01-05T21:29:31Z","snapshot_observed_at":"2026-08-13T23:35:39.417135Z","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":"sha256:7f6a0e34520effc55aef46440304f83ee1783dd68812d4a362b21c560785d4e7","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 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"Z., Boisbunon, A., Chambon, S., Chapel, L., Corenflos, A., Fatras, K., Fournier, N., Gautheron, L., Gayraud, N","venue":null,"work_id":"cdd5e86c-0961-4670-8601-10f1ae14c6bb","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":13,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:42178cd94549a50b0b03fb00424c54a5be87b4a6915f62c96b2c840928c3622c","observation_id":"4dd99523-645d-4d8f-85cd-cc4fea6c13de","resolution":{"observed_at":"2026-05-13T08:27:33.599696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Guillin, A","venue":null,"work_id":"b8e8f1f9-fc3f-45a3-a849-db3e2dd7bf8a","year":2015},"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":14,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:2b37ba72b3ed4dcd3e7fe97b01dc322daef4403a5d5e7e72a59997e93be6da92","observation_id":"a7c68ac7-fc03-45d7-bbed-f1a1c9cf8f24","resolution":{"observed_at":"2026-05-13T08:27:33.591806Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"R., Millman, K","venue":null,"work_id":"95d7d751-8e63-40e9-bd24-3edbba1200c6","year":2020},"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":15,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:5eb3fa0e9409b1b16a337de7391ce8502b2cc7f974a5bcda7cd4703e5d8ae6e5","observation_id":"e2e4e450-0027-4c65-bf07-7ebbae1622d1","resolution":{"observed_at":"2026-05-13T08:27:33.624026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2505.19712","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-02T16:27:09.514696Z","title":"Manifold preserving guided diffusion","venue":null,"work_id":"f9edb633-0f43-4280-8738-46009a3876d9","year":2025},"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":16,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:21628ec5253b55b177dcdf28a794a2f2c7b9c5117d2e8b6aee93944cc4fb7eed","observation_id":"e6054752-f913-4d58-8311-eda7cf128297","resolution":{"observed_at":"2026-05-13T07:22:29.268893Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"24db59b8-b298-4bf6-8e4d-e3ae7f1ead83","year":2017},"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":17,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:df1d5022d3a3de88096e53b2cc8e54d2b0fa6edcdb296a88ddc09ef27c942840","observation_id":"26fc5434-7f1b-462f-a94e-58afc14ddb53","resolution":{"observed_at":"2026-05-13T08:27:33.603033Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1335ded9-ff0d-46b7-bf94-f6b177eef5fd","year":2024},"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":18,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:c657985ec3f78c08ec4fa81e787757ac3532bd5a306c8bfd9beb6a248fc89c55","observation_id":"a6dbb9b8-7f9d-449c-a768-1d6b93c9a487","resolution":{"observed_at":"2026-05-13T08:27:33.578002Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"65047f67-d767-4bba-90d5-32a3f0e279d8","year":2016},"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":19,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:72ca561a8a29435cbc5f522ce8f163ae0aa36b0f196e0290c4dcacae5d267430","observation_id":"d5c03f62-ee0c-4887-8c23-967edf084356","resolution":{"observed_at":"2026-05-13T08:27:33.570141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"08743abc-1455-4757-a5b4-46fdb95e7c75","year":2022},"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":20,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:4b0e5c0678b41ac5d22966c9883c7e409bf5822f3d370e60340df9f3ec4b298c","observation_id":"37cae7fa-eea7-4b36-a925-6dbc4677292f","resolution":{"observed_at":"2026-05-13T08:27:33.536244Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1f104811-5f87-4de1-8bf2-3d4c5f049a10","year":2009},"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":21,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:441b4969f3f3ca574c3e8816b776eab196fbd775f759638675ec0e0074b072c4","observation_id":"60b7ae85-b756-4cd5-a10a-ea015251adea","resolution":{"observed_at":"2026-05-13T08:27:33.539958Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"T., Ben-Hamu, H., Nickel, M., and Le, M","venue":null,"work_id":"f856af15-3191-4e14-862d-da9e15013744","year":2023},"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":22,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:df0cf814efd9f4c273379eab202ed00b782c678d7e514ab58389e6bf8ccd1edb","observation_id":"647e5af1-911c-49ed-8ba1-731defb2f0a1","resolution":{"observed_at":"2026-05-13T08:27:33.563149Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"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":"2209.03003","doi":"10.48550/arxiv.2209.03003","metadata_source":"pith","pith_arxiv_id":"2209.03003","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow","venue":"cs.LG","work_id":"a1989e1b-d66d-4533-be3a-fb9c5fd62290","year":2022},"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":23,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"cited_paper":"/paper/2209.03003","citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:21c878646de27e6ced416e3aa8ec8c14c12dea1133a463cfb2a4bed65ff96478","observation_id":"e358a4ba-ace8-49d3-af62-5e7e98a08bca","resolution":{"observed_at":"2026-05-13T07:22:29.252068Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-07-11T22:49:29.244251+00:00","source":"crossref_status_cache"},{"observed_at":"2026-07-11T22:49:29.244251+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2509.25519","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T00:29:16.061713Z","title":"Y ., Klein, M., and Cu- turi, M","venue":null,"work_id":"7046bd2b-451d-4e23-a51c-299591047d54","year":2025},"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":24,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:6cec7be4f814831b8a1ad7e6d8bb154add56785e5521c386210180cb6446ab31","observation_id":"d392b7af-40fe-444f-b319-286bb8b9aa0c","resolution":{"observed_at":"2026-05-13T07:22:29.261834Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"Y., et al","venue":null,"work_id":"ed25ca05-7724-4ab2-902f-c625de718bd4","year":2011},"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":25,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:23811077667c80d0a340cb98bf0edfa40c4e145e2122e6a961007c27c4a75454","observation_id":"b77b7b25-da88-4fcf-b7fc-ac4beb237228","resolution":{"observed_at":"2026-05-13T08:27:33.558454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"081b92e4-c94e-4d11-b59a-4eadbff9701f","year":2022},"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":26,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:e0d103fb9352d2e201719730b515f6c583c44c38738e2c099fc35887ce84e5dd","observation_id":"7d2a1c7a-097f-47e6-923e-4fb067e76072","resolution":{"observed_at":"2026-05-13T08:27:33.528728Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"300cb926-a6b7-4f72-b3f7-9c2007073b3f","year":2019},"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":27,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:4bff1d53ca44b03fbdd97b7481b670af18e77d19a17dad77339965b9804af991","observation_id":"be660a3a-67e4-4452-9bcc-8cb5cced8dab","resolution":{"observed_at":"2026-05-13T08:27:33.555302Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Cuturi, M","venue":null,"work_id":"7a184b4f-a178-42c2-9201-6b226d264b2a","year":2019},"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":28,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:0de126bab73e0d787c0875fd689d6cb7b7c99997748c4c4c65510fcd96f65c31","observation_id":"911e3017-ff38-4e66-b8bf-ac9e474fbcf3","resolution":{"observed_at":"2026-05-13T08:27:33.551739Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e196ec47-d842-4458-b6bc-17851f8f8e44","year":2026},"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":29,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:464acc88384406b63886ee03fc28408c80f98065c9cd6d6621712de031de4f1c","observation_id":"243e99bb-c1d7-43fb-a1ef-f2796ea1112e","resolution":{"observed_at":"2026-05-13T08:27:33.524105Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"25a9fcb3-2bea-4e6d-b790-c83b5d5a4b6c","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":30,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:01ae8e29cfac4f96d877196a24d8d894ae8e6908c9b7adb41c19506b9b558363","observation_id":"05e9c5f9-5dbb-4a98-92ab-584cc2585826","resolution":{"observed_at":"2026-05-13T08:27:33.532641Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3beffaba-ee3e-4fcb-a33d-0001fcbae3aa","year":2023},"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":31,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:f7923db12269c8f196c339cd5004e7298592134027bb57f870a578aaa8968981","observation_id":"5050fc49-d643-4bdd-9136-9eac8658288d","resolution":{"observed_at":"2026-05-13T08:27:33.543553Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1e741b2d-9093-4208-9f95-d5b97617ab8f","year":null},"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":32,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:08fc1ccb5ffe4d3f7e247216fc3273dda611189e3fa5f407bc91115e1efc8ec1","observation_id":"3ae7ca47-6548-4461-b05d-bdb633ab38b0","resolution":{"observed_at":"2026-05-13T08:27:33.547760Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e13de3df-959f-43bf-8dab-7645a6012347","year":2015},"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":33,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:e7930c594f98c518b5083d174b09f277ea9a6cc90c17397f683c60f15d0703f7","observation_id":"d04cab46-aa65-495d-9862-0158382a95f3","resolution":{"observed_at":"2026-05-13T08:27:33.516229Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Hundrieser, S","venue":null,"work_id":"c78b7bf6-0271-4320-8d81-64f5f4671017","year":2025},"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":34,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:1d24aae56b98404924c3a7b3422ccc0a237e6b3c59cb66e8c531edaecdaa2ab0","observation_id":"c57ff80d-b3fd-4aab-8d50-0e0995a0df82","resolution":{"observed_at":"2026-05-13T08:27:33.512386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e5612f7e-51d0-4ff9-9b67-74d9f38c9727","year":2024},"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":35,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:42ee7d77a18b87ae86d87e3c323341f8353a9ec46a0ea755380ca17ddcdd86ed","observation_id":"672ddf99-a4ea-4a4a-a39f-6482a15d57ef","resolution":{"observed_at":"2026-05-13T08:27:33.566605Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"and Wellner, J","venue":null,"work_id":"db97a9db-4425-4a64-b538-83db9a96fa9d","year":1996},"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":36,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:30384b7de2e7df8bbbf984bd66c4e58ca2bb4f528d632d6faf3af001d5b94e67","observation_id":"8b33b626-367e-412b-9c5f-64da8f7ad20a","resolution":{"observed_at":"2026-05-13T08:27:33.504452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":"E., Haberland, M., Reddy, T., Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., van der Walt , S","venue":null,"work_id":"8e71776e-60ad-48d4-9630-77ecbb716b60","year":2020},"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":37,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:288ca1d68ab3bc05f53f4eac9c93ff6489e1890ee406008b55ed1ebe36c96fe4","observation_id":"fee29cfa-454e-422d-8f0f-53c092489f0f","resolution":{"observed_at":"2026-05-13T08:27:33.508649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5c837106-f265-49ee-8a7b-a27526474b4c","year":2025},"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":38,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:d3b99ef0db002237240f948a003226ed9ae97677e7db9ed631e2c3f9c45d8e2f","observation_id":"a90ac986-3466-4aa0-b019-9dce485bba97","resolution":{"observed_at":"2026-05-13T08:27:33.519900Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2506.05526","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T00:29:16.104399Z","title":"arXiv preprint arXiv:2506.05526 , year =","venue":null,"work_id":"819f306c-8575-4481-9e41-8b4cd4c3099c","year":2025},"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":39,"source":"arxiv_source","source_observed_at":"2026-05-13T07:19:35.020831Z"},"links":{"citing_paper":"/paper/2605.12174"},"observation_digest":"sha256:f9133e748bdeaa319b958293f25459604aa47ab220aa87ec6348cc124c96a310","observation_id":"fa1f3b3d-8daa-4678-bae4-de3c4a74ad1f","resolution":{"observed_at":"2026-05-13T07:22:29.242083Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.12174","last_updated":"2026-05-12T14:19:09Z","latest_version":1,"primary_category":"cs.LG","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"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":20,"verified_exact":6,"verified_fuzzy":13},"total_outbound_references":39},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2605.12174."}