{"as_of":"2026-08-18T14:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f70b3cd4575314bd24b581c31adcbee912877f892366ddf66cf5713182d4d4ed","coverage":[{"denominator":79,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":79,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T12:03:09.597266Z","state":"measured"},{"denominator":85,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":85,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T21:05:02.869027Z","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":"2026-05-16T09:50:49.182849Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14813","snapshot_observed_at":"2026-08-05T20:59:36.907387Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.09627","last_updated":"2025-08-13T08:59:04Z","snapshot_observed_at":"2026-08-17T09:30:19.017270Z","submitted_at":"2025-08-13T08:59:04Z","title":"Physics- and geometry-aware spatio-spectral graph neural operator for time-independent and time-dependent PDEs","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T20:59:36.907387Z"},"links":{"cited_paper":"/paper/2412.14813","citing_paper":"/paper/2508.09627"},"observation_digest":"sha256:0314320029530c0c887da9219b7ddeee86df21ee1002890855b60299b83c2285","observation_id":"3186ff97-50f1-4c24-aa5f-f200f1d05316","resolution":{"observed_at":"2026-08-05T20:59:36.907387Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14813","snapshot_observed_at":"2026-08-05T21:05:02.869027Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2508.09628","last_updated":"2025-08-13T08:59:13Z","snapshot_observed_at":"2026-08-17T19:37:03.116748Z","submitted_at":"2025-08-13T08:59:13Z","title":"Attention's forward pass and Frank-Wolfe","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-05T21:05:02.869027Z"},"links":{"cited_paper":"/paper/2412.14813","citing_paper":"/paper/2508.09628"},"observation_digest":"sha256:2d13cc29a1df0c2464d9084d0ae3428146270d4e9eae71f4746e65ec273abd47","observation_id":"538ee197-ac36-440d-a423-7bbaf0feba7c","resolution":{"observed_at":"2026-08-05T21:05:02.869027Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14813","snapshot_observed_at":"2026-08-04T09:09:47.603422Z","title":"The Scharfetter-Gummel scheme for aggregation-diffusion equations","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.17629","last_updated":"2026-06-17T12:46:29Z","snapshot_observed_at":"2026-08-16T01:06:25.449615Z","submitted_at":"2025-10-20T15:12:39Z","title":"Formation of clusters and coarsening in weakly interacting diffusions","version":3},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-04T09:09:47.603422Z"},"links":{"cited_paper":"/paper/2412.14813","citing_paper":"/paper/2510.17629"},"observation_digest":"sha256:bc7b34da6cf2c8be3f13b67060962319d2d36e582aeb4c6aa4205a4b3cb177c6","observation_id":"59576746-5c0c-470b-a8b6-106790fd604c","resolution":{"observed_at":"2026-08-04T09:09:47.603422Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2412.14813","snapshot_observed_at":"2026-08-04T07:43:35.736143Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2510.25034","last_updated":"2026-06-26T16:41:23Z","snapshot_observed_at":"2026-08-17T23:21:10.917126Z","submitted_at":"2025-10-28T23:28:15Z","title":"Cluster formation for weakly interacting kinetic Langevin dynamics","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-04T07:43:35.736143Z"},"links":{"cited_paper":"/paper/2412.14813","citing_paper":"/paper/2510.25034"},"observation_digest":"sha256:539362925f02466a5e292d75a20e35a5b68981485c0c921274c8ea23861e187b","observation_id":"a5e117a5-fe85-485b-9c3e-121103e2a7d4","resolution":{"observed_at":"2026-08-04T07:43:35.736143Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"cited_work":{"arxiv_id":"2412.14813","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.14813","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Solutions of stationary McKean- Vlasov equation on a high-dimensional sphere and other Riemannian manifolds.arXiv preprint arXiv:2412.14813","venue":null,"work_id":"42361f6b-d6ba-48a0-beb5-6c50e0409c88","year":2024},"citing_paper":{"arxiv_id":"2601.21366","last_updated":"2026-05-13T13:56:23Z","snapshot_observed_at":"2026-08-15T20:05:27.025847Z","submitted_at":"2026-01-29T07:47:46Z","title":"Perceptrons and localization of attention's mean-field landscape","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-16T09:49:27.206423Z"},"links":{"cited_paper":"/paper/2412.14813","citing_paper":"/paper/2601.21366"},"observation_digest":"sha256:f0e55af985a604b43848671e0bc5d9e256186536a91f22f9ef6187f68142197a","observation_id":"41b66cca-ce51-4fb7-97f4-25e0968b5ff8","resolution":{"observed_at":"2026-05-16T09:50:49.186804Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"cited_work":{"arxiv_id":"2412.14813","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.14813","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Solutions of stationary McKean- Vlasov equation on a high-dimensional sphere and other Riemannian manifolds.arXiv preprint arXiv:2412.14813","venue":null,"work_id":"42361f6b-d6ba-48a0-beb5-6c50e0409c88","year":2024},"citing_paper":{"arxiv_id":"2604.16288","last_updated":"2026-04-17T17:50:29Z","snapshot_observed_at":"2026-08-13T18:30:40.666125Z","submitted_at":"2026-04-17T17:50:29Z","title":"Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-05-10T07:35:04.946643Z"},"links":{"cited_paper":"/paper/2412.14813","citing_paper":"/paper/2604.16288"},"observation_digest":"sha256:c621039dfec126c4dbae782db54ed78285dbfee08c338792ea1b45e8a218fbff","observation_id":"88b355ba-9efa-45f3-ab99-76e1a5b6a582","resolution":{"observed_at":"2026-05-10T07:37:04.638465Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.14813/citation-record","integrity":"/paper/2412.14813/integrity","json":"/paper/2412.14813/citation-record.json","paper":"/paper/2412.14813"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:03:10.613837Z","title":null,"venue":null,"work_id":"10853546-1aa8-425a-bc9b-77a4bfb8b4db","year":1999},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.314075Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:60fc9df06e8779d7a4c752aa2d4c7c7f2a2690f5b83423dc12c367bc2a1fec35","observation_id":"a3a047ea-8708-4965-931c-8907f107a1aa","resolution":{"observed_at":"2026-08-11T12:03:10.617203Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.603460Z","title":"Ambrosio, N","venue":null,"work_id":"13022d0a-456f-4c43-a7f4-4d41de1797ec","year":2005},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.318435Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:08001bff436550f407a1a7005ca1aea93e2483d76dfb9b8fecf437feeb7914be","observation_id":"242955e6-547d-427d-870a-2ba73e8b813a","resolution":{"observed_at":"2026-08-11T12:03:10.606770Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.592863Z","title":"Abramowitz and I","venue":null,"work_id":"343ce9a3-c36f-479a-ade9-9a4e3efc6eb6","year":1968},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.322309Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:8776551b883285eaa7f4835dbe8335b00fdeb8c55b2e27cbabd871f2b0774aac","observation_id":"7248fae6-267f-4c17-99e3-14e51b098641","resolution":{"observed_at":"2026-08-11T12:03:10.596549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.581844Z","title":"Burger, V","venue":null,"work_id":"b97039fe-a614-4266-9290-f70fbf1d3e40","year":2007},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.326567Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:2459ac04803f7cad97a04e48a29f7bfcd3b9846839583d66eb51826148aa90ab","observation_id":"ce4d5735-ad2a-46e7-a24c-5e04f1334660","resolution":{"observed_at":"2026-08-11T12:03:10.585822Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.571094Z","title":null,"venue":null,"work_id":"c7c98b30-3a44-4427-85cf-ab10507d0ab8","year":2016},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.330991Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:b95782dd49d25b8c35b7d4af9ee9e21946904d59a17609925a13f565338c7d81","observation_id":"c404d28d-7b8f-4309-932b-be9f7acd8166","resolution":{"observed_at":"2026-08-11T12:03:10.574803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.559848Z","title":"Brigati, J","venue":null,"work_id":"82e67b97-0f7f-4225-9db3-09fd594a1800","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.335157Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:2cd79689172330a0748650ff34d8d5d307ad73278da5375559839ef3c258f9c0","observation_id":"cdbea501-1843-47fc-ab1a-1ddff1ec322f","resolution":{"observed_at":"2026-08-11T12:03:10.563622Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.548643Z","title":null,"venue":null,"work_id":"15a80516-518c-4a70-b25c-3986b9149921","year":1986},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.339675Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:9caf32048ce5ecda8ac42896ab236fba749eddb8f3a39331cfda07ed20858e56","observation_id":"34d4f3b1-7cf0-481b-bb7d-488bf09cc2d6","resolution":{"observed_at":"2026-08-11T12:03:10.552399Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.538501Z","title":"Bresch, P.-E","venue":null,"work_id":"bb6566f8-57e8-4b23-aa39-e968cc5b2ac4","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.343478Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:d097cca1774f64635e686ae7612b8d3805d4de2b2261faa208d5c0ec1ce75f10","observation_id":"021dca6a-380d-49ab-bcd6-29bb1fddcf92","resolution":{"observed_at":"2026-08-11T12:03:10.541986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.23228","last_updated":"2025-04-16T16:07:50Z","snapshot_observed_at":"2026-08-16T13:04:27.027247Z","submitted_at":"2024-10-30T17:16:38Z","title":"Emergence of meta-stable clustering in mean-field transformer models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.23228","snapshot_observed_at":"2026-08-11T12:03:09.347520Z","title":"Bruno, F","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.347520Z"},"links":{"cited_paper":"/paper/2410.23228","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:65ccf2a0e6d9fa1d7585a35ec57051ac8bc89661ad9977b1d3018f83edd96486","observation_id":"ef575c1b-33a1-4ef4-9b63-afaa5fd71825","resolution":{"observed_at":"2026-08-11T12:03:09.347520Z","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":"2026-08-11T12:03:10.527878Z","title":null,"venue":null,"work_id":"8c92d90f-e672-4365-90ef-47b488a3dc1a","year":2006},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.351870Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:ae0e0ce280a7fa5018fc149ecb48546b7654ff1ffc361a6994a79be639694c73","observation_id":"41e31d62-9bff-48d2-8159-f7d9a48faf74","resolution":{"observed_at":"2026-08-11T12:03:10.531755Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.516519Z","title":"Baernstein, II and B","venue":null,"work_id":"93be8191-97f8-42b8-bbf0-b916cba8f485","year":1976},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.355875Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:7666ea50d6947d297aca4a724b7db23a436ffb0613fa892e97f793f4e12ea2f7","observation_id":"df81bc9b-81ad-4661-8baa-ed3f8c1c2baf","resolution":{"observed_at":"2026-08-11T12:03:10.520290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.505406Z","title":"Binney and S","venue":null,"work_id":"92c818de-e4e0-4f75-9f71-9458284f6f9f","year":2008},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.360035Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:39532c135bae1b959e922815be650b7cd2ab9525acc42a789db8938a1b4e66ba","observation_id":"fb3e0609-2d03-4c73-bb21-0143026aeb91","resolution":{"observed_at":"2026-08-11T12:03:10.509480Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.13322","last_updated":"2024-06-27T18:33:52Z","snapshot_observed_at":"2026-08-16T18:07:00.334583Z","submitted_at":"2024-05-22T03:40:06Z","title":"The Meyers-Serrin theorem on Riemannian manifolds: a survey","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.13322","snapshot_observed_at":"2026-08-11T12:03:09.363803Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.363803Z"},"links":{"cited_paper":"/paper/2405.13322","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:c2716ad59ba752b9a1c26d6d085ec4ac27b711ffac06cd80cc0ef81b90634c28","observation_id":"c14fbbc4-3619-4054-9725-d477b70f948c","resolution":{"observed_at":"2026-08-11T12:03:09.363803Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2409.06022","last_updated":"2024-09-09T19:26:06Z","snapshot_observed_at":"2026-08-16T13:19:59.018425Z","submitted_at":"2024-09-09T19:26:06Z","title":"Existence of ground states for free energies on the hyperbolic space","version":1},"cited_work":{"arxiv_id":"2409.06022","doi":null,"metadata_source":"pith","pith_arxiv_id":"2409.06022","snapshot_observed_at":"2026-08-11T12:03:09.783876Z","title":"Existence of ground states for free energies on the hyperbolic space","venue":"math.AP","work_id":"afb11736-be57-445b-88c0-c6635ab65214","year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.367847Z"},"links":{"cited_paper":"/paper/2409.06022","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:1e687e5296c229306458c4d951e3338f652db7810f46398d03a179bbf3005057","observation_id":"9f85d761-a057-42d1-8372-0beaba9f9330","resolution":{"observed_at":"2026-08-11T12:03:09.788079Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.495256Z","title":null,"venue":null,"work_id":"1fbbde6d-884e-4ea9-ab4b-f443dafe982a","year":2021},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.371929Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:32602e3734cec25ab29dcce2cef6207bf794a59cfbe636a92184b3777ca40f45","observation_id":"c8618999-886f-41fa-92c2-9553aedabe55","resolution":{"observed_at":"2026-08-11T12:03:10.498694Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.485741Z","title":null,"venue":null,"work_id":"eeebb0de-0437-45d0-850a-d7b3a7df240f","year":2020},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.375559Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:1138203ea267eb7a0f2f877ab23052caa66f97bf49c6b9023ea64cd754922529","observation_id":"74db3c97-281c-4f09-b9f8-152414ce4e0c","resolution":{"observed_at":"2026-08-11T12:03:10.488970Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.474397Z","title":null,"venue":null,"work_id":"3020cf47-f352-43a6-bd25-fa40560cad16","year":2011},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.379069Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:543a1447b14414e52d6afae56b207fd50e90a7abae542007edc06cb53eaa6c42","observation_id":"acf90449-a977-40cc-927e-8a04be9e2998","resolution":{"observed_at":"2026-08-11T12:03:10.478180Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.462727Z","title":"Chayes and V","venue":null,"work_id":"2f49beef-821a-4034-99ac-e7a75c23cc25","year":2010},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.382617Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:5473a174e75bec52bb05f70ab16d46648d3e72754842f49e1baac697b786fe7c","observation_id":"1f5c2270-07b0-4a98-8f58-681d0202a59b","resolution":{"observed_at":"2026-08-11T12:03:10.466454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.451276Z","title":null,"venue":null,"work_id":"53542c5f-fe07-4deb-a9f8-529a66845cc6","year":1971},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.386306Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:54f38d4f9d12852b99c975aa2515f4e2ab2ea7282a805ce726b2ad0c1a748d22","observation_id":"7b0134f6-bc79-4acd-83ce-8c5e4af1db01","resolution":{"observed_at":"2026-08-11T12:03:10.455214Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.440132Z","title":null,"venue":null,"work_id":"5290d6b2-a2f9-45f7-9370-9b5eea4ae907","year":2019},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.390034Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:46c48289aea2f1f242acf0846d31e78116c31e024444a574725fe8e0c8957f28","observation_id":"a3e246bc-cfde-44ea-a561-e1f1bc6a0265","resolution":{"observed_at":"2026-08-11T12:03:10.444001Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.428803Z","title":null,"venue":null,"work_id":"8227c79c-daac-4694-9c64-84ef60cdf321","year":2013},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.393603Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:e44a2c567151a73b2b6124cf6d761d2544cd54d70b8f70d8f96ab2dc8efcbeab","observation_id":"bd9ccc68-a784-4622-80ce-61802e614a65","resolution":{"observed_at":"2026-08-11T12:03:10.432491Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.418560Z","title":null,"venue":null,"work_id":"c60397ff-5131-4e86-8350-455d5d290ee7","year":2007},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.397240Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:b811352321e1633305991e849022759ff96b434cf0e79f0e312c902cb0d83b70","observation_id":"7a919c33-a8b3-4582-bcbc-842207950763","resolution":{"observed_at":"2026-08-11T12:03:10.422286Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.408423Z","title":"Dupuis and R","venue":null,"work_id":"198a4ede-170f-4243-b943-09487bd88b8d","year":2011},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.400815Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:9dfc0ba45ccbc8cba886111a88e5914fd8414d0fab6c5015fb3de1e4361647a4","observation_id":"ef888514-b0d0-471e-8905-f926e568b768","resolution":{"observed_at":"2026-08-11T12:03:10.412332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.398093Z","title":"Deimling","venue":null,"work_id":"14b5aadb-ad9b-4d2a-a583-0e708054577d","year":2013},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.404412Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:839c7e338bf91ee341e439a0830e7240fdc2b7f5892b01510c23a82455648d68","observation_id":"32fe87d0-bf6d-4ec1-ad6c-ad20bb9251a9","resolution":{"observed_at":"2026-08-11T12:03:10.401509Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.388090Z","title":"Degond, A","venue":null,"work_id":"5068ab99-695d-4d09-b523-dde93f4e33ac","year":2015},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.407647Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:2f9c7bedb5b73300b056d25a7e573fe3317a41ea8ca7ad8b78ccf4c9aed85435","observation_id":"f14323f1-96f0-4b2f-b53c-50760c9bb037","resolution":{"observed_at":"2026-08-11T12:03:10.391400Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.376943Z","title":null,"venue":null,"work_id":"1b929938-fe3e-46ba-9b69-da4c765142fd","year":1989},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.410769Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:165d90ebc39316be4a6afeb6174614a904f338e1a13f9cea6f3e9e62fe5e314a","observation_id":"8405f301-908f-470c-9154-cfef5cd049c8","resolution":{"observed_at":"2026-08-11T12:03:10.380542Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.365666Z","title":null,"venue":null,"work_id":"3cf4ddf3-5c7f-45d6-9368-cef142e58a71","year":2021},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.413786Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:6ff9f82d5981c8d612c58ae7db3771dd718924aede8bb9a7240352b83c0a0ce3","observation_id":"292f3bef-218c-4d2b-8250-2cee4bf9a0a0","resolution":{"observed_at":"2026-08-11T12:03:10.369109Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.353790Z","title":null,"venue":null,"work_id":"1426d540-efd1-4f9a-be88-a86ba8e3f8f9","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.417131Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:f9179d8b91027d578043e365d260b727b57992f31ec7e3c1bc6c8d578efffda2","observation_id":"e16d47c4-f2e5-4c7c-894b-b6c0fc329921","resolution":{"observed_at":"2026-08-11T12:03:10.358294Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.340421Z","title":"Dokmanic and D","venue":null,"work_id":"88d77e9f-01e7-4ea9-ad44-9f45734d3802","year":2009},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.420326Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:a78851bae5da20803f1a50a50adfcf8983cba3763eadc4de37c4f2d0ca9a9463","observation_id":"ee53b95a-6b48-4c36-8f2e-8f6876884481","resolution":{"observed_at":"2026-08-11T12:03:10.344591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.327935Z","title":"Duerinckx","venue":null,"work_id":"1f133e0f-2934-4a0a-88c9-586871c870b5","year":2016},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.423347Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:21e3888e757f1a7b2ba8d4b020f6c7364d4248a23955289ce5d4b8d6349a5702","observation_id":"aa46c274-60c0-4989-b682-2448d8f720ea","resolution":{"observed_at":"2026-08-11T12:03:10.332467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.315410Z","title":null,"venue":null,"work_id":"e75afc07-e618-4aae-93ab-f846353132e3","year":2010},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.426322Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:ef0862dae54a7096459c29f86187cfe8e196a8532df6e71f10331144085355b2","observation_id":"b197660c-349b-4f00-b644-1635291656f3","resolution":{"observed_at":"2026-08-11T12:03:10.320046Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.303572Z","title":null,"venue":null,"work_id":"c903d280-6a96-4237-8e53-7114d3f535fb","year":2021},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.429469Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:dbce5f4c142fab94c6b95e78a9d55fc5158c6cbba0625da791a98f51ddf48cf9","observation_id":"bbbdc329-e5b7-4878-a0b6-2a8917651ff8","resolution":{"observed_at":"2026-08-11T12:03:10.307805Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.292519Z","title":null,"venue":null,"work_id":"40be84e4-7438-4509-86fa-32e8079b82e5","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.432372Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:8fdd1f533dc1bb10ab64b70fd7cea97b58148067e3b5e7b31bc42f6f0517c97e","observation_id":"daf8a7c7-fa48-4321-b150-0eed7fb9bc64","resolution":{"observed_at":"2026-08-11T12:03:10.296252Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2306.04856","last_updated":"2023-07-10T14:22:58Z","snapshot_observed_at":"2026-08-16T15:25:39.028982Z","submitted_at":"2023-06-08T01:09:45Z","title":"Ground states for aggregation-diffusion models on Cartan-Hadamard manifolds","version":2},"cited_work":{"arxiv_id":"2306.04856","doi":null,"metadata_source":"pith","pith_arxiv_id":"2306.04856","snapshot_observed_at":"2026-08-11T12:03:09.767360Z","title":"Ground states for aggregation-diffusion models on Cartan-Hadamard manifolds","venue":"math.AP","work_id":"7b0a9314-77c3-4ea4-a596-1c06e8579016","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.435935Z"},"links":{"cited_paper":"/paper/2306.04856","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:eaee4ee730be47b263d264e8c48d2a99f820c9349fe194bbc915f3868217ad45","observation_id":"3f6eed5e-8029-4a86-9366-d00afb7574b7","resolution":{"observed_at":"2026-08-11T12:03:09.771862Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.281209Z","title":null,"venue":null,"work_id":"ba05621a-c465-4c52-92bb-8af8223884dd","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.439741Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:8cf6ac019ba8917e0fa656bf94d7a743bd43ed4caf9bdb6c0079bd3398b8652a","observation_id":"164fcf22-32ab-4969-9ed7-6de50c48fb05","resolution":{"observed_at":"2026-08-11T12:03:10.285457Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.271604Z","title":null,"venue":null,"work_id":"5b2d2b59-b5de-45cc-9b4a-49d44271a911","year":2021},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.443554Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:34bf8d113b2721ccb9298234dee87ecdf4155bc3e5a9018bd2ad65d040b9684d","observation_id":"36eda7f2-6e03-4ff8-be56-de90393f5fbf","resolution":{"observed_at":"2026-08-11T12:03:10.274601Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.261733Z","title":"Fatkullin and V","venue":null,"work_id":"447ec78c-7af5-4ef2-a095-2bf140693841","year":2005},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.447249Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:2ce6f499885529c6ae6ed43906621303c1df995197bbfff1f74f66d9296f9af1","observation_id":"8c0e0886-c74f-4d83-9f29-a40ebca8447c","resolution":{"observed_at":"2026-08-11T12:03:10.265321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06833","last_updated":"2024-10-09T12:50:50Z","snapshot_observed_at":"2026-08-17T00:26:48.268511Z","submitted_at":"2024-10-09T12:50:50Z","title":"Dynamic metastability in the self-attention model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.06833","snapshot_observed_at":"2026-08-11T12:03:09.450916Z","title":"Geshkovski, H","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.450916Z"},"links":{"cited_paper":"/paper/2410.06833","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:6f67caa436b5052905e55ec25fb6cb27e1c442e4e66d8d97b2d84a470d2306d7","observation_id":"6277a882-b498-46b6-a6d4-07fb8e22f1b1","resolution":{"observed_at":"2026-08-11T12:03:09.450916Z","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":"2026-08-11T12:03:10.251105Z","title":"Geshkovski, C","venue":null,"work_id":"1e676df3-f3ca-47ca-a2ed-fd84e4ce2b9e","year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.455006Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:dee79e001ef3e102daac8a2d09f3e226b1ca078c952dd580df977d3d0f4b25ce","observation_id":"1a01deff-92ec-486f-b6a6-7669e4a3f8c1","resolution":{"observed_at":"2026-08-11T12:03:10.254688Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.240542Z","title":null,"venue":null,"work_id":"6ef2fa95-6ddc-4f83-a8be-a87db4cd20ae","year":2016},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.458618Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:7dd07a20b47c78f898555d44b5b610b17aaab3977cae1a3ce65198c31bfda3f1","observation_id":"66975f5c-fa47-43a1-8230-c891d154124b","resolution":{"observed_at":"2026-08-11T12:03:10.244452Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.228999Z","title":null,"venue":null,"work_id":"8dbe8808-d66b-4d60-b918-447117fa6698","year":1970},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.462256Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:bccd345c8d32ebf62de678c74f9e00377166db6dba8a83033527b788eafc2f74","observation_id":"0a77b2d3-65f2-4b51-8c15-c0f70b4a89b8","resolution":{"observed_at":"2026-08-11T12:03:10.233167Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.217916Z","title":null,"venue":null,"work_id":"4fcf1030-5bec-4360-b25a-ec48d6cf4c88","year":2014},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.465825Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:591277ed9faad048bedec59828cdf390258c652de572f91855db368730d23090","observation_id":"7c90c558-4fbd-4513-b8c2-822f67691411","resolution":{"observed_at":"2026-08-11T12:03:10.221803Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.205828Z","title":null,"venue":null,"work_id":"0e0bb8a4-3dd8-4ae0-9400-72ee110ccf65","year":2020},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.469481Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:5d9a84a99ad09703a6228ab1233dbea7a88a02e585a35f06ab76814958e05b8b","observation_id":"d0981088-8a1d-4d6e-8014-e941a9150dde","resolution":{"observed_at":"2026-08-11T12:03:10.209963Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.193361Z","title":null,"venue":null,"work_id":"81125221-3527-430a-8b20-33eb68e218e5","year":1994},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.473321Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:41c0f96faf29a014d01f49dbe954b155feb184b04282469a41b2b36da04ea24e","observation_id":"694acc83-6301-4707-9288-d91bdb6bce89","resolution":{"observed_at":"2026-08-11T12:03:10.197452Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.181930Z","title":null,"venue":null,"work_id":"be895ea1-72ab-47f2-8562-8952dabc4821","year":1996},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.476940Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:ef575ee673becaf94ab169da3fe7e6468b76a6a9a2abede470f71f4ff7b6b970","observation_id":"da494fb0-d478-4973-b042-39b4313c845b","resolution":{"observed_at":"2026-08-11T12:03:10.185617Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.171777Z","title":"Hoeksema, T","venue":null,"work_id":"587536e7-1c8e-4ed2-b00a-1f8c25d2fa8c","year":2024},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.480635Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:093f87f05a9cb541cf6aa8a5e6d3f0d1702aa30181c807cb7120cb8e47b824c2","observation_id":"c6410427-86da-4618-b649-c19a178599be","resolution":{"observed_at":"2026-08-11T12:03:10.175651Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.160390Z","title":"Hegselmann and U","venue":null,"work_id":"d746b611-d780-493e-8a68-58c03fc55f11","year":2002},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.484360Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:c20dc25dc36ec3ea9972cd9409a6ad71a45f0dcf3b8c52ef07d47f909d9af565","observation_id":"d50e640d-39b2-439a-ae42-be759c9ce58d","resolution":{"observed_at":"2026-08-11T12:03:10.163894Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.149077Z","title":null,"venue":null,"work_id":"519bad73-0c99-4ab2-8069-e5b480f8cc4a","year":2006},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.487958Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:d95a0b18731933a72b6777924e5aed0bf5343b49d537d49bcf8489d62ebb8934","observation_id":"e6e0b97b-af00-42da-867f-b75c357d6bc7","resolution":{"observed_at":"2026-08-11T12:03:10.152977Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.137025Z","title":null,"venue":null,"work_id":"3e5bd8ac-482f-4a0f-977b-6fe6ce4067e8","year":2014},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.491448Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:5814e5387739dc86ca03c1ec8ad1ae3d0ea8fbe1b8d61f9b5b95c6c31474c6c9","observation_id":"4efba1f4-76af-47e2-900e-ce273189eaa0","resolution":{"observed_at":"2026-08-11T12:03:10.141772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.124765Z","title":"Kielh\\\"ofer","venue":null,"work_id":"1f69abd4-9b21-41fe-802c-2bc8012bfea7","year":2012},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.494969Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:e8a22e9f273b15b098ce2dbfe4818922aff8dbf9dc3830669870ef8b5db7df51","observation_id":"6a3707dc-2bad-4314-b733-7aef7c1b6ac5","resolution":{"observed_at":"2026-08-11T12:03:10.129182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.112868Z","title":null,"venue":null,"work_id":"cd440b06-e7a1-447c-b392-283e85dbf957","year":1971},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.498465Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:bf13fd589445bc2317c4f914e4c637730a94591208d0885e3d776a94c3f98c6d","observation_id":"ab559f2b-0ae9-4b7a-9e95-16e13749259e","resolution":{"observed_at":"2026-08-11T12:03:10.117001Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.101150Z","title":"Kuramoto","venue":null,"work_id":"f4cccfde-7089-4408-9777-8a388cf10e6b","year":1981},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.502091Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:4bcc0d511dfbf13e85133dd5606cba757a6747e2ffc94ee9de9a4d8b0125f579","observation_id":"f60c1f93-0e2d-487b-bd8a-44eccfe234f8","resolution":{"observed_at":"2026-08-11T12:03:10.104915Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.091359Z","title":null,"venue":null,"work_id":"7f907bd3-ae46-457e-ad9c-774f03b0bcde","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.505705Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:86baa3caddd7f84f752ba6951dd250987ff0d4447103b7905dce3b45fa34fa5d","observation_id":"1c521564-d1a8-475c-9b51-65202b8735ce","resolution":{"observed_at":"2026-08-11T12:03:10.094571Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.080785Z","title":"Lucia and J","venue":null,"work_id":"bf5cf2c4-be5f-474c-8280-e7ae1e79e2c2","year":2010},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.509387Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:eda34d0dbf12b2a7516190f45fe7535c90ded4d544aba4b44cace116a574ad47","observation_id":"43ef5e6f-414e-46b7-a6fc-13698d91ed61","resolution":{"observed_at":"2026-08-11T12:03:10.084660Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.069193Z","title":"Martzel and C","venue":null,"work_id":"b9b4aa62-983b-484f-b601-4b33b1b032da","year":2001},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.512894Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:0f4c3c4b9afb461efe5884dd257dc7601bc1c81c12492684cd9f0bb7ec34d265","observation_id":"8e42ab35-7811-405d-bbeb-492ac396bd9d","resolution":{"observed_at":"2026-08-11T12:03:10.073024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.058119Z","title":null,"venue":null,"work_id":"709bb3a4-793b-488c-99ac-6a30a918245d","year":1907},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.516558Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:6065dad36d1b006e5ad4d695f05e4da9ab95e7f3f27a5ee7e636161ce6286bd9","observation_id":"56ff160c-fdcc-466d-b5c3-4c0ef7596198","resolution":{"observed_at":"2026-08-11T12:03:10.061991Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.046783Z","title":"Monmarch \\'e","venue":null,"work_id":"934dde92-ce60-484f-8e9d-cddd884e5e06","year":2017},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.519984Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:f60b482ac890fdc29bfe541436264efa263d1f56f92d17950da2df023c3b08f8","observation_id":"4cc76e9d-33b0-4fd5-9a95-119b2db2ac1e","resolution":{"observed_at":"2026-08-11T12:03:10.050923Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.035340Z","title":"Oelschl\\\"ager","venue":null,"work_id":"11f24fc1-84cc-48cf-8531-0d0ea39f312b","year":1984},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.522937Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:7455f1a10fc965fe90d44a74e254e04530586ff81d9ecf8560cc4d0e57f18347","observation_id":"cd69b3d8-e790-4948-8496-4a19aaee54dd","resolution":{"observed_at":"2026-08-11T12:03:10.039540Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.023504Z","title":"Oelschl \\\"a ger","venue":null,"work_id":"1d21e91c-5637-4d53-a182-ec73c78e0179","year":1989},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.525845Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:b164468630e386bf07f25b831b61307e50452a8659d395990278a250e27aaf5f","observation_id":"a5feb297-d6d7-40e6-8c79-7b79c15a3d8c","resolution":{"observed_at":"2026-08-11T12:03:10.027502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:10.011270Z","title":"Otto and C","venue":null,"work_id":"ff7f5810-ea9a-4b86-9fd5-65e0e2c4eee4","year":2000},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.529031Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:4986317cbc988b541677dcccca1c7608ddf5e76e6a1268f830ffa7f35252137d","observation_id":"fc3f3377-9b1c-4008-9692-f5c2c3b7b104","resolution":{"observed_at":"2026-08-11T12:03:10.015138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.999592Z","title":"Otto and M","venue":null,"work_id":"4362a4fa-8c7a-43ab-94ab-4c3661fb1ee4","year":2005},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.531972Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:7d324e6cd384192f9b1adeb6692ddb75e17706aed9d68c1fd25b628430a91b64","observation_id":"71568850-03b9-4887-8fe0-acf618de04e2","resolution":{"observed_at":"2026-08-11T12:03:10.003358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.987848Z","title":null,"venue":null,"work_id":"2dd81f5c-03ac-4da5-a79e-bd901278224f","year":1990},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.535193Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:3f43fea1fc428bfa0e03d0c9fc01befdf0f8e2289714eba458aac98584625815","observation_id":"bd1bc7ab-d60b-49b2-87c6-e7b07cc7124a","resolution":{"observed_at":"2026-08-11T12:03:09.991681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2106.01823","last_updated":"2021-06-03T13:19:07Z","snapshot_observed_at":"2026-08-16T18:19:57.565393Z","submitted_at":"2021-06-03T13:19:07Z","title":"The nonlocal-interaction equation near attracting manifolds","version":1},"cited_work":{"arxiv_id":"2106.01823","doi":null,"metadata_source":"pith","pith_arxiv_id":"2106.01823","snapshot_observed_at":"2026-08-11T12:03:09.735466Z","title":"The nonlocal-interaction equation near attracting manifolds","venue":"math.AP","work_id":"b733a499-c077-4195-b817-a31c2662d2c7","year":2021},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.538210Z"},"links":{"cited_paper":"/paper/2106.01823","citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:4ad46cc2ee31d5d7f111793fb764ded3b78ebb7f1e4629f0255ca4442ea2e7e6","observation_id":"56b25b54-e93b-4b09-8802-3af5c4024e76","resolution":{"observed_at":"2026-08-11T12:03:09.742018Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.976737Z","title":"Rotskoff and E","venue":null,"work_id":"ba0c0903-068f-4a50-88a3-a0c637bfb727","year":1935},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.541712Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:1aad8fb877c80718ecdf1dbbebbb064a263ad862f6ab611e02a8989601be295f","observation_id":"69a243b6-0577-4423-a1dc-a79e39fc0135","resolution":{"observed_at":"2026-08-11T12:03:09.980413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.965640Z","title":"Santambrogio","venue":null,"work_id":"37764164-709e-4bca-b350-ff158ed05b42","year":2015},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.545522Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:23ce4b3a618e3811bf16e101953fecd1438d05478e437f21392eea407c5eaf9b","observation_id":"95d50fd5-43f7-4acb-b20a-b1e3d1924e41","resolution":{"observed_at":"2026-08-11T12:03:09.969281Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.954611Z","title":null,"venue":null,"work_id":"67971de0-2ba6-4873-9a88-b7191bc1fa31","year":2020},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.549164Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:737959c23224e713ef78f107aaf1d43d44e7aa67785f4d54e2462646a2d23262","observation_id":"9df3e36c-4778-4043-8f2d-16e3a7700d5f","resolution":{"observed_at":"2026-08-11T12:03:09.958304Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.943749Z","title":"Sirignano and K","venue":null,"work_id":"b5270905-176e-44d5-8e3d-4ebee885d6ed","year":2020},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.552718Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:51799dbd0bad18bbb55459f69910d06ea6ae5af4fb5bf86aafaacb262cbb8b39","observation_id":"dfa00833-8e46-4718-a278-f0434e7099e9","resolution":{"observed_at":"2026-08-11T12:03:09.947202Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.933027Z","title":null,"venue":null,"work_id":"9721158b-140d-4cda-a951-38ded21c8c9d","year":2000},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.556593Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:ef8a57d88780b85fa4bb7e095e9a31cddfda9efcb924bb8d59a0c3dfe8d56d41","observation_id":"3510c7d0-b4bd-43bf-bd29-c2f50d93251e","resolution":{"observed_at":"2026-08-11T12:03:09.936762Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.920870Z","title":null,"venue":null,"work_id":"d037b7fe-c62d-4b15-ae47-d707c3530078","year":2005},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.560278Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:341cd2d92c9028e77685a874ba1accb55fb23c2e5ec3496f2c7f845125306efd","observation_id":"01c8ce55-8867-4fe6-be6e-865330458c7f","resolution":{"observed_at":"2026-08-11T12:03:09.924922Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.909601Z","title":null,"venue":null,"work_id":"d90b9047-b0a3-4205-9da5-72b84a1e6e00","year":2014},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.563876Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:5d6a4992d5dc093a1ddf35577cb1c58da849e56c050e9bb18c346177801932d1","observation_id":"56531095-12f8-400e-975d-2a5a6c799274","resolution":{"observed_at":"2026-08-11T12:03:09.913422Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:03:09.567377Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.567377Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:1eeee7c0dc2ddad857cb8dde91e1963a07bb7a0efde8e31bc9f135b35d80ceab","observation_id":"84f25ce4-a10d-48c4-a9dd-464875dec622","resolution":{"observed_at":"2026-08-11T12:03:09.567377Z","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":"2026-08-11T12:03:09.891399Z","title":null,"venue":null,"work_id":"3fd6e5dc-1c47-4be3-a055-1dfb168866e5","year":2008},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.570839Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:a7544275c3c29ef69f62978e5eea1a9b507262e2aca583885ba81a4cbf3b75c3","observation_id":"26d66adb-c734-4403-a8b5-13b791216c85","resolution":{"observed_at":"2026-08-11T12:03:09.895033Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.879718Z","title":null,"venue":null,"work_id":"c12a9f8d-619f-4fe2-afef-b3d38a3ac1ba","year":2017},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.574228Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:e57e787184832c0096887ec58f5d5703d9a859571453bead868cfdbafff7514d","observation_id":"192b1ee0-e6da-4e32-9689-03ebf7649b7c","resolution":{"observed_at":"2026-08-11T12:03:09.883658Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.867512Z","title":null,"venue":null,"work_id":"96e99dd6-c8f0-44bf-b463-12767da9485d","year":2018},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":74,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.577809Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:9b8e8d57fe1cd6097773b82654b96f0f1cc771c1266b6a3d842b0a7b3edc76e4","observation_id":"93bab6b3-0f15-4c72-8f6d-31fb03b727bb","resolution":{"observed_at":"2026-08-11T12:03:09.871381Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.856471Z","title":"Vaswani, N","venue":null,"work_id":"627f74ce-af9d-46a4-bb5d-bd44472e459a","year":2017},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":75,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.581590Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:160b9692b5f0a92c098f46a9e03e72246e16cd873c06bb217d2390755c747104","observation_id":"7e5d8cfb-8f93-4f0e-a86d-6030f554e553","resolution":{"observed_at":"2026-08-11T12:03:09.860163Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.844780Z","title":"Vukadinovic","venue":null,"work_id":"967815d6-01c8-47ee-9c0e-6d17fb2110a0","year":2023},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":76,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.585526Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:9ae1181da818f791216e8b625b449086cd5006b67b5a785398adf6159f0808eb","observation_id":"5447b681-d71e-4321-95b0-1da78ea69b8e","resolution":{"observed_at":"2026-08-11T12:03:09.848776Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.832756Z","title":"Wu and D","venue":null,"work_id":"88aea73b-baa1-4e5f-b628-95307a0cc0f3","year":2015},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":77,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.589283Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:c7b9e86425841d70fd9e6e9d63fd65331f30b9b27bb6eb591745ac26c3fbaf07","observation_id":"8762d91f-8b15-4e2d-95fe-948357ea2bd0","resolution":{"observed_at":"2026-08-11T12:03:09.836307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+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":"2026-08-11T12:03:09.822345Z","title":"Zhao and J","venue":null,"work_id":"fa267693-b185-4b1b-a9e5-de2f8da492c7","year":2018},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.593317Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:8752540eb3adfe9451ccc0f311aebac4f11c99857d65c8b713d3644276e4b1bc","observation_id":"ccb76dda-48fb-460f-815a-ddae884402fc","resolution":{"observed_at":"2026-08-11T12:03:09.825615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T12:03:09.597266Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds","version":2},"reference_index":79,"source":"arxiv_source","source_observed_at":"2026-08-11T12:03:09.597266Z"},"links":{"citing_paper":"/paper/2412.14813"},"observation_digest":"sha256:fc183c18a3d15820c6c8f98f867ddff2bad125449c91187d112e7b6ff1de3338","observation_id":"db9fa66e-20bb-4123-acb1-b4345e8c8a7f","resolution":{"observed_at":"2026-08-11T12:03:09.597266Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2412.14813","last_updated":"2025-01-31T16:46:33Z","latest_version":2,"primary_category":"math.AP","snapshot_observed_at":"2026-08-15T16:01:13.706222Z","submitted_at":"2024-12-19T13:07:39Z","title":"Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds"},"reference_resolution":{"displayed":79,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":43,"verified_exact":3,"verified_fuzzy":33},"total_outbound_references":79},"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":"2026-08-18T06:34:40.430872+00:00","source":"crossref"},{"observed_at":"2026-08-18T06:34:34.496301+00:00","source":"retraction_watch"}],"thesis":"As of 18 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 6 inbound Pith citation observations for arXiv:2412.14813."}