{"as_of":"2026-08-17T01:41:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:84b5352d843a0cac0244afe1c3888c2993de1c6a7c65581d19730abacfa75d3f","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T12:43:14.238793Z","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":"2026-06-30T12:54:39.730451Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.02614","snapshot_observed_at":"2026-08-14T12:43:14.238793Z","title":null,"venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"1908.07036","last_updated":"2019-09-07T04:27:36Z","snapshot_observed_at":"2026-08-16T10:43:55.613130Z","submitted_at":"2019-08-19T19:23:43Z","title":"On the structure of RCD spaces with upper curvature bounds","version":2},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-14T12:43:14.238793Z"},"links":{"cited_paper":"/paper/1907.02614","citing_paper":"/paper/1908.07036"},"observation_digest":"sha256:d65a9931befab2e44c9d29531606d729a63c5edad98a11d7a1b2c26f19ad5601","observation_id":"e89ae455-c65c-4a4b-b2f3-345c673f6ab9","resolution":{"observed_at":"2026-08-14T12:43:14.238793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.02614","snapshot_observed_at":"2026-08-14T06:05:22.716733Z","title":"Kapovitch and A","venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"1909.00381","last_updated":"2019-09-01T11:23:05Z","snapshot_observed_at":"2026-08-16T05:52:43.587849Z","submitted_at":"2019-09-01T11:23:05Z","title":"Rectifiability of the reduced boundary for sets of finite perimeter over RCD$(K,N)$ spaces","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T06:05:22.716733Z"},"links":{"cited_paper":"/paper/1907.02614","citing_paper":"/paper/1909.00381"},"observation_digest":"sha256:56ee3937e0774fe14814f1ccf0007c79a7b896907f556c3d888cd0b6ded40580","observation_id":"947ae89d-0f39-4713-a2ee-4765cc741ba3","resolution":{"observed_at":"2026-08-14T06:05:22.716733Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces","version":3},"cited_work":{"arxiv_id":"1907.02614","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1907.02614","snapshot_observed_at":"2026-06-30T12:54:39.730451Z","title":"Kapovitch, A","venue":null,"work_id":"bfd80a22-6916-4b76-9abf-b14cb9df626d","year":1907},"citing_paper":{"arxiv_id":"2112.06962","last_updated":"2026-04-21T06:17:55Z","snapshot_observed_at":"2026-07-06T12:18:18.529747Z","submitted_at":"2021-12-13T19:01:39Z","title":"One-phase Free Boundary Problems on RCD Metric Measure Spaces","version":4},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-05-24T12:46:33.904843Z"},"links":{"cited_paper":"/paper/1907.02614","citing_paper":"/paper/2112.06962"},"observation_digest":"sha256:8431ce0eb457cf748e89995e854d4ca8fbd541d1b5ebd96caa2d090a5caee415","observation_id":"25a7822e-5f7a-40b5-9652-88b65a18aa38","resolution":{"observed_at":"2026-05-24T12:49:29.625209Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces","version":3},"cited_work":{"arxiv_id":"1907.02614","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1907.02614","snapshot_observed_at":"2026-06-30T12:54:39.730451Z","title":"Kapovitch, A","venue":null,"work_id":"bfd80a22-6916-4b76-9abf-b14cb9df626d","year":1907},"citing_paper":{"arxiv_id":"2605.24380","last_updated":"2026-05-23T03:38:38Z","snapshot_observed_at":"2026-08-15T09:04:37.023281Z","submitted_at":"2026-05-23T03:38:38Z","title":"Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-06-30T12:54:16.211059Z"},"links":{"cited_paper":"/paper/1907.02614","citing_paper":"/paper/2605.24380"},"observation_digest":"sha256:cee7bea171b84047a49be2e48f281b700b62c56a40670fb8708f48123f1dfbb5","observation_id":"5fc4c3c4-7822-4d20-8f81-08568394bc88","resolution":{"observed_at":"2026-06-30T12:54:39.731727Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1907.02614","snapshot_observed_at":"2026-07-30T14:11:18.849794Z","title":"arXiv , author =:1907.02614 , primaryclass =","venue":null,"work_id":null,"year":1907},"citing_paper":{"arxiv_id":"2607.27010","last_updated":"2026-07-29T15:06:11Z","snapshot_observed_at":"2026-08-14T07:05:24.027698Z","submitted_at":"2026-07-29T15:06:11Z","title":"Lipschitz continuity of harmonic maps between ${\\rm RCD}(K,N)$ spaces and ${\\rm CAT}(\\kappa)$ spaces","version":1},"reference_index":122,"source":"arxiv_source","source_observed_at":"2026-07-30T14:11:18.849794Z"},"links":{"cited_paper":"/paper/1907.02614","citing_paper":"/paper/2607.27010"},"observation_digest":"sha256:3023d2071a2ad455029cdfb19abb7cf7111818e6a02a8e08424a7a72157101af","observation_id":"e5948670-868b-4eda-a2bf-cc0f379e8460","resolution":{"observed_at":"2026-07-30T14:11:18.849794Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1907.02614/citation-record","integrity":"/paper/1907.02614/integrity","json":"/paper/1907.02614/citation-record.json","paper":"/paper/1907.02614"},"outbound":[],"paper":{"arxiv_id":"1907.02614","last_updated":"2020-03-31T15:30:30Z","latest_version":3,"primary_category":"math.MG","snapshot_observed_at":"2026-08-16T12:13:40.626397Z","submitted_at":"2019-07-04T22:16:54Z","title":"On the topology and the boundary of N-dimensional RCD(K,N) spaces"},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:1907.02614."}