{"as_of":"2026-08-13T11:21:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d7979f2dedcc3738e9e3c0aa3ef1d2f0de2a5c8616f05c91e8e35e129d8de221","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":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T14:49:33.548311Z","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":"2026-05-22T23:22:15.957948Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.07802","last_updated":"2025-03-10T19:32:57Z","snapshot_observed_at":"2026-08-13T11:06:19.734599Z","submitted_at":"2025-03-10T19:32:57Z","title":"The Hellinger-Kantorovich metric measure geometry on spaces of measures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.07802","snapshot_observed_at":"2026-08-12T14:49:33.548311Z","title":"Dello Schiavo and G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2411.14936","last_updated":"2025-06-08T12:08:08Z","snapshot_observed_at":"2026-08-12T14:39:38.664534Z","submitted_at":"2024-11-22T13:49:02Z","title":"Massive Particle Systems, Wasserstein Brownian Motions, and the Dean-Kawasaki Equation","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-12T14:49:33.548311Z"},"links":{"cited_paper":"/paper/2503.07802","citing_paper":"/paper/2411.14936"},"observation_digest":"sha256:79e013d764df834dc205b66e7f5b9cf4b660d084ea037688de48a2e0085ff75d","observation_id":"64707129-19b5-4f83-9470-ff5fb6792e5e","resolution":{"observed_at":"2026-08-12T14:49:33.548311Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.07802","last_updated":"2025-03-10T19:32:57Z","snapshot_observed_at":"2026-08-13T11:06:19.734599Z","submitted_at":"2025-03-10T19:32:57Z","title":"The Hellinger-Kantorovich metric measure geometry on spaces of measures","version":1},"cited_work":{"arxiv_id":"2503.07802","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2503.07802","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Dello Schiavo and G","venue":null,"work_id":"89d5bfa1-bfc9-4d9d-a86d-076d1a7992f8","year":2025},"citing_paper":{"arxiv_id":"2503.21664","last_updated":"2026-04-07T16:45:36Z","snapshot_observed_at":"2026-07-06T20:59:44.949088Z","submitted_at":"2025-03-27T16:32:47Z","title":"Functions of bounded variation and Lipschitz algebras in metric measure spaces","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-22T23:19:56.241503Z"},"links":{"cited_paper":"/paper/2503.07802","citing_paper":"/paper/2503.21664"},"observation_digest":"sha256:a390d2d3a75127235e742afe3772b2915ff0dc94fecd50585a84b80db13e56b9","observation_id":"2c134bba-ffdb-4002-93ee-de08766f1ff3","resolution":{"observed_at":"2026-05-22T23:22:15.961779Z","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":"2503.07802","last_updated":"2025-03-10T19:32:57Z","snapshot_observed_at":"2026-08-13T11:06:19.734599Z","submitted_at":"2025-03-10T19:32:57Z","title":"The Hellinger-Kantorovich metric measure geometry on spaces of measures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.07802","snapshot_observed_at":"2026-08-05T23:22:32.262017Z","title":"Dello Schiavo and G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2508.05483","last_updated":"2025-09-11T13:42:26Z","snapshot_observed_at":"2026-08-05T23:22:31.497369Z","submitted_at":"2025-08-07T15:23:05Z","title":"Spaces with Riemannian curvature bounds are universally infinitesimally Hilbertian","version":2},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T23:22:32.262017Z"},"links":{"cited_paper":"/paper/2503.07802","citing_paper":"/paper/2508.05483"},"observation_digest":"sha256:dca8d68ed3e04f056df565e15d06f3d04bb9fd4796078dc036f8598dcfcf93dd","observation_id":"dafa633a-fe2c-494c-8e51-f443a9a8d411","resolution":{"observed_at":"2026-08-05T23:22:32.262017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.07802","last_updated":"2025-03-10T19:32:57Z","snapshot_observed_at":"2026-08-13T11:06:19.734599Z","submitted_at":"2025-03-10T19:32:57Z","title":"The Hellinger-Kantorovich metric measure geometry on spaces of measures","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.07802","snapshot_observed_at":"2026-08-02T11:39:44.661836Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.14318","last_updated":"2026-07-16T16:26:35Z","snapshot_observed_at":"2026-08-07T01:35:45.584720Z","submitted_at":"2026-06-12T09:58:00Z","title":"Sectional Curvature for Kantorovich-Wasserstein and Hellinger-Kantorovich Geometries","version":2},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-02T11:39:44.661836Z"},"links":{"cited_paper":"/paper/2503.07802","citing_paper":"/paper/2606.14318"},"observation_digest":"sha256:be3016bfed7ce17a89f17f33654dae061bd779a148cd258bb0493d4c25129dde","observation_id":"6ec73b7c-ed28-4865-bcff-c268f14d8e3f","resolution":{"observed_at":"2026-08-02T11:39:44.661836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2503.07802/citation-record","integrity":"/paper/2503.07802/integrity","json":"/paper/2503.07802/citation-record.json","paper":"/paper/2503.07802"},"outbound":[],"paper":{"arxiv_id":"2503.07802","last_updated":"2025-03-10T19:32:57Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-13T11:06:19.734599Z","submitted_at":"2025-03-10T19:32:57Z","title":"The Hellinger-Kantorovich metric measure geometry on spaces of measures"},"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 4 inbound Pith citation observations for arXiv:2503.07802."}