{"as_of":"2026-08-13T15:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:704969af13981083759b087ccc80758e3918f91147624efc980b3df6e8decc95","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T18:42:34.050208Z","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":"2026-05-22T10:41:25.350717Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-08-12T18:42:34.050208Z","title":"Uniform log- S obolev inequalites for mean field particles with flat-convex energy","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.11415","last_updated":"2024-11-18T09:39:31Z","snapshot_observed_at":"2026-08-12T18:29:53.851145Z","submitted_at":"2024-11-18T09:39:31Z","title":"The ballistic limit of the log-Sobolev constant equals the Polyak-{\\L}ojasiewicz constant","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-12T18:42:34.050208Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2411.11415"},"observation_digest":"sha256:ac9bbc1c5d212be3957993068788c496d7ff7251e313c121bf3b7292ae475b6b","observation_id":"70cd5209-ced4-41eb-8325-2a9ce8bbbc5f","resolution":{"observed_at":"2026-08-12T18:42:34.050208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-08-12T14:40:14.566142Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2411.15067","last_updated":"2026-07-21T12:39:50Z","snapshot_observed_at":"2026-08-12T14:30:06.318938Z","submitted_at":"2024-11-22T16:56:12Z","title":"Linear convergence of proximal descent schemes on the Wasserstein space","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T14:40:14.566142Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2411.15067"},"observation_digest":"sha256:0bcad91c117ba168de919872bf4aecd03c05bc4b1ae2cb3e78729721c62ebb6d","observation_id":"3646479f-3f79-46af-a83b-f023cf559ba0","resolution":{"observed_at":"2026-08-12T14:40:14.566142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-08-11T22:24:19.527042Z","title":"Uniform log-Sobolev inequalities for mean field part icles with flat-convex energy","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.03560","last_updated":"2024-12-04T18:54:24Z","snapshot_observed_at":"2026-08-12T20:45:39.144604Z","submitted_at":"2024-12-04T18:54:24Z","title":"Non-asymptotic entropic bounds for non-linear kinetic Langevin sampler with second-order splitting scheme","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-11T22:24:19.527042Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2412.03560"},"observation_digest":"sha256:b6fd4ff80cd33be5a4308899d532307ac250b146fd6876e8463d8c2bcc5674ac","observation_id":"dd96ddee-ae0a-459a-9689-c511b64832de","resolution":{"observed_at":"2026-08-11T22:24:19.527042Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":"2408.03283","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy.arXiv e-prints, page arXiv:2408.03283, August 2024","venue":null,"work_id":"c60bdc4c-fdc0-476f-8d06-f14dc8aa7907","year":2024},"citing_paper":{"arxiv_id":"2605.13186","last_updated":"2026-05-21T14:32:02Z","snapshot_observed_at":"2026-07-06T23:24:47.309044Z","submitted_at":"2026-05-13T08:43:27Z","title":"Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-14T18:32:28.926096Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2605.13186"},"observation_digest":"sha256:5804e35022477385c27db83395ce782e971ce587bca0d346b341e7e29e5e7915","observation_id":"96fd7f68-fc7a-40fe-92b7-d1914e3371db","resolution":{"observed_at":"2026-05-14T18:32:34.010821Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":"2408.03283","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy.arXiv e-prints, page arXiv:2408.03283, August 2024","venue":null,"work_id":"c60bdc4c-fdc0-476f-8d06-f14dc8aa7907","year":2024},"citing_paper":{"arxiv_id":"2605.13186","last_updated":"2026-05-21T14:32:02Z","snapshot_observed_at":"2026-07-06T23:24:47.309044Z","submitted_at":"2026-05-13T08:43:27Z","title":"Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-20T21:55:47.669365Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2605.13186"},"observation_digest":"sha256:048323c8f1842bc4d71c997a7e0de1188becb7331ac0182a96da77662dc8ecd7","observation_id":"f51ba709-9f41-4ac8-b936-8c6c41dcc51f","resolution":{"observed_at":"2026-05-20T21:59:06.334922Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":"2408.03283","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy.arXiv e-prints, page arXiv:2408.03283, August 2024","venue":null,"work_id":"c60bdc4c-fdc0-476f-8d06-f14dc8aa7907","year":2024},"citing_paper":{"arxiv_id":"2605.13186","last_updated":"2026-05-21T14:32:02Z","snapshot_observed_at":"2026-07-06T23:24:47.309044Z","submitted_at":"2026-05-13T08:43:27Z","title":"Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies","version":3},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-21T08:38:57.385672Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2605.13186"},"observation_digest":"sha256:9ac39d5c1ca6250609764bb7546e951129eb8ace61f1259d8e278f097ff545b2","observation_id":"441b25ef-73ee-47b9-8750-e9720070f672","resolution":{"observed_at":"2026-05-21T08:39:53.398095Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy","version":2},"cited_work":{"arxiv_id":"2408.03283","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2408.03283","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy.arXiv e-prints, page arXiv:2408.03283, August 2024","venue":null,"work_id":"c60bdc4c-fdc0-476f-8d06-f14dc8aa7907","year":2024},"citing_paper":{"arxiv_id":"2605.13186","last_updated":"2026-05-21T14:32:02Z","snapshot_observed_at":"2026-07-06T23:24:47.309044Z","submitted_at":"2026-05-13T08:43:27Z","title":"Nesterov acceleration for the Wasserstein minimization of displacement-convex free energies","version":4},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-22T10:37:35.795959Z"},"links":{"cited_paper":"/paper/2408.03283","citing_paper":"/paper/2605.13186"},"observation_digest":"sha256:5ab1e63c21278919cb75d194b4eb14546078d9a2766dfa09fa86723c8a4657e3","observation_id":"ccf03da6-9e65-4a22-8afe-bbd31843bb7b","resolution":{"observed_at":"2026-05-22T10:41:25.353599Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2408.03283/citation-record","integrity":"/paper/2408.03283/integrity","json":"/paper/2408.03283/citation-record.json","paper":"/paper/2408.03283"},"outbound":[],"paper":{"arxiv_id":"2408.03283","last_updated":"2024-08-12T12:46:32Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-12T23:07:43.107777Z","submitted_at":"2024-08-06T16:31:36Z","title":"Uniform log-Sobolev inequalities for mean field particles with flat-convex energy"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2408.03283."}