{"as_of":"2026-08-23T15:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:010128ba7a9476f003616f4fa4aedc417cf3c410813097943ca660d55e07b21e","coverage":[{"denominator":12,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":12,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:13:01.296557Z","state":"measured"},{"denominator":15,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":15,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-15T16:06:33.289487Z","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":"2026-05-14T20:52:59.195682Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.16082","snapshot_observed_at":"2026-08-15T16:06:33.289487Z","title":"Oh snapmmd! forecasting stochastic dynamics beyond the Schr ¨odinger bridge’s end,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.10626","last_updated":"2025-09-12T18:15:42Z","snapshot_observed_at":"2026-08-15T15:51:46.758629Z","submitted_at":"2025-09-12T18:15:42Z","title":"Optimal Multimarginal Schr\\\"odinger Bridge: Minimum Spanning Tree over Measure-valued Vertices","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-15T16:06:33.289487Z"},"links":{"cited_paper":"/paper/2505.16082","citing_paper":"/paper/2509.10626"},"observation_digest":"sha256:69307cf82d878c8a660f3d17bf240d8768a39204d2e0a5ef5893bdd0fae90bb5","observation_id":"ca92dc9d-8e73-419e-b8e9-66cd85a4b102","resolution":{"observed_at":"2026-08-15T16:06:33.289487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"cited_work":{"arxiv_id":"2505.16082","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.16082","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2505.16082 , year=","venue":null,"work_id":"0fe8e1e0-31e7-4d13-9954-90c4ee4fb3fd","year":null},"citing_paper":{"arxiv_id":"2605.08550","last_updated":"2026-05-16T02:31:48Z","snapshot_observed_at":"2026-08-12T12:26:02.413866Z","submitted_at":"2026-05-08T23:21:17Z","title":"A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-05-12T01:20:12.816671Z"},"links":{"cited_paper":"/paper/2505.16082","citing_paper":"/paper/2605.08550"},"observation_digest":"sha256:922c9c5d1913f16ad0ba2036c0c0037359afd4588149c9d0386685a4541469ca","observation_id":"0ccd7262-759f-40ee-8573-7f49056b0e37","resolution":{"observed_at":"2026-05-12T08:06:27.216690Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"cited_work":{"arxiv_id":"2505.16082","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.16082","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv preprint arXiv:2505.16082 , year=","venue":null,"work_id":"0fe8e1e0-31e7-4d13-9954-90c4ee4fb3fd","year":null},"citing_paper":{"arxiv_id":"2605.08550","last_updated":"2026-05-16T02:31:48Z","snapshot_observed_at":"2026-08-12T12:26:02.413866Z","submitted_at":"2026-05-08T23:21:17Z","title":"A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-05-14T20:49:26.890463Z"},"links":{"cited_paper":"/paper/2505.16082","citing_paper":"/paper/2605.08550"},"observation_digest":"sha256:b75285939b8b78e8847170fb1c6dedb6297b1f33fda091d79a5d63a2bbc2e53b","observation_id":"4b830521-598d-40e7-8b7e-eee6d7aee526","resolution":{"observed_at":"2026-05-14T20:52:59.197884Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.16082/citation-record","integrity":"/paper/2505.16082/integrity","json":"/paper/2505.16082/citation-record.json","paper":"/paper/2505.16082"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.14608","last_updated":"2025-03-03T23:31:16Z","snapshot_observed_at":"2026-08-17T13:26:38.563577Z","submitted_at":"2024-08-26T20:05:31Z","title":"Meta Flow Matching: Integrating Vector Fields on the Wasserstein Manifold","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.14608","snapshot_observed_at":"2026-08-07T15:13:01.237702Z","title":"J., Bengio, Y ., Tong, A., and Neklyu- dov, K","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.237702Z"},"links":{"cited_paper":"/paper/2408.14608","citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:64466cf46155253b8cb661235041374582ad03a3130ccbc9a4e2d35c817337bf","observation_id":"cce3cefa-4bb6-49b3-b7b8-2cccd863ed35","resolution":{"observed_at":"2026-08-07T15:13:01.237702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.386023Z","title":"A complete characterization of identifiability in more general settings is beyond the scope of this work and constitutes an important direction for future research","venue":null,"work_id":"156142bb-6cf3-429b-a008-d91ce1446f7a","year":2024},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.296557Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:34a459398be53d063f71b57d7f01b5473788eba8b4ac311f559b2ff3bf91afe3","observation_id":"d47bc878-84b7-42e0-96db-fdb36b4ba2f3","resolution":{"observed_at":"2026-08-07T15:13:01.392616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.441302Z","title":"Since the two baselines cannot make vector fields in correct dimension we did not compare vector field reconstruction","venue":null,"work_id":"2f271381-d5b4-4ed9-a1d4-b3e478b5931d","year":null},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.282668Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:db42c2e42fcec7063abae153624296a42c9ec07505f283f3f87480a2ed84ec40","observation_id":"9b7a71a5-fdaf-412d-a4b5-1bfd42513b02","resolution":{"observed_at":"2026-08-07T15:13:01.447013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.529338Z","title":null,"venue":null,"work_id":"352662d9-b17f-4a41-88ac-42d178294182","year":2024},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.243922Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:b07a55530ce50410c71980f9fa459a89b43184c2cbc07a0d1e136e7adffc76ab","observation_id":"ea1d62d7-0406-41e8-8cdf-a81cbb837b3b","resolution":{"observed_at":"2026-08-07T15:13:01.534419Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06879","last_updated":"2024-09-10T21:49:57Z","snapshot_observed_at":"2026-08-19T09:01:11.391120Z","submitted_at":"2024-09-10T21:49:57Z","title":"Joint trajectory and network inference via reference fitting","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.06879","snapshot_observed_at":"2026-08-07T15:13:01.267420Z","title":"P., Kumar, A., Ermon, S., and Poole, B","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.267420Z"},"links":{"cited_paper":"/paper/2409.06879","citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:bbf24120b96a220e848da86ff43491f7cc048110964bbd9f67fb15bf6e90798b","observation_id":"d2063b5c-7542-439d-b5a1-6968b6635348","resolution":{"observed_at":"2026-08-07T15:13:01.267420Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.510282Z","title":"(2025).Statistical Optimal Transport, volume 2364 of Lecture Notes in Mathematics","venue":null,"work_id":"4f4f4071-cc16-419a-9622-608db19d59d1","year":2025},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.250440Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:949ab961a4934e80fdcf16f638682b7e2e60365a07a512a66d4d511e8fdab741","observation_id":"6ab70873-746e-4f46-8938-9cfb55198c39","resolution":{"observed_at":"2026-08-07T15:13:01.517874Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.493881Z","title":null,"venue":null,"work_id":"3a40f4f6-ad5d-4b31-b9b9-7be00c8a3336","year":2016},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":430,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.262098Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:adb4ea3686afa04cd2e5caffc42808cfccef22b3886e62450c031dfca8b7dbc6","observation_id":"0bd1432a-2020-4312-b224-56059612ccd6","resolution":{"observed_at":"2026-08-07T15:13:01.499000Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.405359Z","title":"−γ (Y−y 0)rv (Y−y 0)2 + (Y−y 0)2 1−exp p (Y−y 0)2 + (Y−y 0)2 rv !! +d X−x 0,d rd # dt+σdW x dY=","venue":null,"work_id":"e1845578-faaa-4441-823a-a056619c5650","year":2024},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.291899Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:d3c961d50d078286e168af7ccb0c7744f68b690b3c1daafbd308b5923bbc6451","observation_id":"a3fd96e4-ecb7-426c-b893-0bd6590865cd","resolution":{"observed_at":"2026-08-07T15:13:01.412023Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.425217Z","title":null,"venue":null,"work_id":"15eebc1d-638d-4ea2-ae03-707cf5b1ca08","year":2025},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.287306Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:7bffac72d2330117073f1f8890089a01ca7713d1c3e239ff68f238cff9ea03a2","observation_id":"c277b50e-4453-48d2-a698-6617be614535","resolution":{"observed_at":"2026-08-07T15:13:01.430239Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.07105","last_updated":"2021-02-14T09:00:46Z","snapshot_observed_at":"2026-08-15T20:52:06.627094Z","submitted_at":"2020-07-14T15:24:41Z","title":"Estimating Barycenters of Measures in High Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.07105","snapshot_observed_at":"2026-08-07T15:13:01.256055Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.256055Z"},"links":{"cited_paper":"/paper/2007.07105","citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:19469221e1328329705c89888f3022cba5c0fa7d65adfbb83389654c48aac37c","observation_id":"0b175880-864b-454d-ae09-082e749b6270","resolution":{"observed_at":"2026-08-07T15:13:01.256055Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.458721Z","title":"δ(t−t ′)E y∼f(y|t) y′∼f(y|t ′) [Ky(y,y ′)] # = X t,t′∈T","venue":null,"work_id":"45c0627b-bd75-4634-af8d-f0d21a756743","year":2024},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.277982Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:b0b0be15ff140a62ae809b3460b22456c89f7a97771515d157ba78d8a4c35874","observation_id":"d8897a96-45e6-4614-89ad-d040877b5a9d","resolution":{"observed_at":"2026-08-07T15:13:01.463584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:13:01.476188Z","title":"(2025) proposed generaliza- tions using higher-order derivatives, although these approaches are computationally feasible only in low-dimensional settings","venue":null,"work_id":"443746ff-ff7b-49f5-a7e1-6f9793d0a490","year":2025},"citing_paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T15:13:01.273462Z"},"links":{"citing_paper":"/paper/2505.16082"},"observation_digest":"sha256:248cd5e9af3f05286136cff29a57f4df898c528044e7d29a88ed0636c782072d","observation_id":"0745caa7-84af-44f2-87f8-b8969f8d3872","resolution":{"observed_at":"2026-08-07T15:13:01.481808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.16082","last_updated":"2025-05-21T23:52:57Z","latest_version":1,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-18T20:55:11.505149Z","submitted_at":"2025-05-21T23:52:57Z","title":"Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\\\"odinger Bridge's End"},"reference_resolution":{"displayed":12,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":6,"verified_exact":0,"verified_fuzzy":5},"total_outbound_references":12},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 3 inbound Pith citation observations for arXiv:2505.16082."}