{"as_of":"2026-08-18T22:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b87f41a9a2d434f97a9eda8a166618048c8de4692080e91a8add262874084b71","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":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-18T06:34:40.430872+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:40:46.849427Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-16T12:40:47.255056Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2109.03192","last_updated":"2021-10-11T10:38:42Z","snapshot_observed_at":"2026-08-16T17:58:16.803102Z","submitted_at":"2021-09-07T16:56:21Z","title":"Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.03192","snapshot_observed_at":"2026-08-12T14:49:33.556164Z","title":"Dello Schiavo and K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.14936","last_updated":"2025-06-08T12:08:08Z","snapshot_observed_at":"2026-08-15T18:05:24.976137Z","submitted_at":"2024-11-22T13:49:02Z","title":"Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-12T14:49:33.556164Z"},"links":{"cited_paper":"/paper/2109.03192","citing_paper":"/paper/2411.14936"},"observation_digest":"sha256:f09cd91af4fc682e46f8f88db298b09ef6c74fc37ec684bed522e5e45b0b7ff0","observation_id":"9910ea88-a412-42c2-ab14-66c1343cbed3","resolution":{"observed_at":"2026-08-12T14:49:33.556164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.03192","last_updated":"2021-10-11T10:38:42Z","snapshot_observed_at":"2026-08-16T17:58:16.803102Z","submitted_at":"2021-09-07T16:56:21Z","title":"Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry","version":2},"cited_work":{"arxiv_id":"2109.03192","doi":null,"metadata_source":"pith","pith_arxiv_id":"2109.03192","snapshot_observed_at":"2026-08-16T12:40:47.255056Z","title":"Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry","venue":"math.PR","work_id":"cf1dfbe9-37ef-479b-8d2a-24c3f219bfdb","year":2021},"citing_paper":{"arxiv_id":"2504.12047","last_updated":"2025-04-16T13:03:48Z","snapshot_observed_at":"2026-08-16T12:37:28.239195Z","submitted_at":"2025-04-16T13:03:48Z","title":"Non-local Wasserstein Geometry, Gradient Flows, and Functional Inequalities for Stationary Point Processes","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-16T12:40:46.849427Z"},"links":{"cited_paper":"/paper/2109.03192","citing_paper":"/paper/2504.12047"},"observation_digest":"sha256:4594792780dbaef5e222d143411eec98c0ec3d64e0946a27c656eaa5c331ffd7","observation_id":"e34fc6d8-c38c-4416-b9c3-de6efff5df71","resolution":{"observed_at":"2026-08-16T12:40:47.260482Z","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":{"arxiv_id":"2109.03192","last_updated":"2021-10-11T10:38:42Z","snapshot_observed_at":"2026-08-16T17:58:16.803102Z","submitted_at":"2021-09-07T16:56:21Z","title":"Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.03192","snapshot_observed_at":"2026-08-01T05:12:43.528969Z","title":"D.,andSuzuki, K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.22333","last_updated":"2026-07-24T14:12:33Z","snapshot_observed_at":"2026-08-15T13:58:39.702216Z","submitted_at":"2026-07-24T14:12:33Z","title":"Collision and non-collision for diffusions on configuration space","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-01T05:12:43.528969Z"},"links":{"cited_paper":"/paper/2109.03192","citing_paper":"/paper/2607.22333"},"observation_digest":"sha256:2ea415107fbbaab808e972149a59371ee59e12ea8150f801a9822aab361921fd","observation_id":"ee73111d-22e8-4539-ae3d-8510e25b0e90","resolution":{"observed_at":"2026-08-01T05:12:43.528969Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2109.03192/citation-record","integrity":"/paper/2109.03192/integrity","json":"/paper/2109.03192/citation-record.json","paper":"/paper/2109.03192"},"outbound":[],"paper":{"arxiv_id":"2109.03192","last_updated":"2021-10-11T10:38:42Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-16T17:58:16.803102Z","submitted_at":"2021-09-07T16:56:21Z","title":"Configuration spaces over singular spaces -- I. Dirichlet-Form and Metric Measure Geometry"},"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":"2026-08-18T06:34:40.430872+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 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2109.03192."}