{"as_of":"2026-08-13T13:08:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:9912fb10d0465169362e79ecbdd032b90990dedfed93144988967723ce67e643","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":"2026-08-12T16:49:54.612855Z","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":"2026-07-02T15:47:06.329887Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2010.09981","last_updated":"2020-10-20T03:01:14Z","snapshot_observed_at":"2026-07-06T10:06:02.860601Z","submitted_at":"2020-10-20T03:01:14Z","title":"The local entropy along Ricci flow---Part B: the pseudo-locality theorems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.09981","snapshot_observed_at":"2026-08-12T16:49:54.612855Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2411.13204","last_updated":"2024-11-21T15:02:55Z","snapshot_observed_at":"2026-08-12T16:39:56.829075Z","submitted_at":"2024-11-20T11:07:01Z","title":"Preserving curvature lower bounds when Ricci flowing non-smooth initial data","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T16:49:54.612855Z"},"links":{"cited_paper":"/paper/2010.09981","citing_paper":"/paper/2411.13204"},"observation_digest":"sha256:1d6ca22316f03a8681e29aeb3dcaaeb323f9f2d6864b36e638445d57be4c5964","observation_id":"af4c30f3-e38f-4814-9ffe-c46a0529e379","resolution":{"observed_at":"2026-08-12T16:49:54.612855Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.09981","last_updated":"2020-10-20T03:01:14Z","snapshot_observed_at":"2026-07-06T10:06:02.860601Z","submitted_at":"2020-10-20T03:01:14Z","title":"The local entropy along Ricci flow---Part B: the pseudo-locality theorems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.09981","snapshot_observed_at":"2026-08-05T05:04:07.205787Z","title":"(Shaochuang Huang)College of Science, Sun Yat-sen University, Shenzhen, Guangdong, China","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2509.05802","last_updated":"2025-09-06T18:29:19Z","snapshot_observed_at":"2026-08-05T05:04:06.778093Z","submitted_at":"2025-09-06T18:29:19Z","title":"A note on a diffeomorphism criterion via long-time Ricci flow","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-05T05:04:07.205787Z"},"links":{"cited_paper":"/paper/2010.09981","citing_paper":"/paper/2509.05802"},"observation_digest":"sha256:6a75a1e0841a31a6f798b08df4109a31eeaf7dfd9dbf53fbb3bb91e3a0ce6d2d","observation_id":"091b196c-4573-4ae9-87d1-a8b7a575572b","resolution":{"observed_at":"2026-08-05T05:04:07.205787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.09981","last_updated":"2020-10-20T03:01:14Z","snapshot_observed_at":"2026-07-06T10:06:02.860601Z","submitted_at":"2020-10-20T03:01:14Z","title":"The local entropy along Ricci flow---Part B: the pseudo-locality theorems","version":1},"cited_work":{"arxiv_id":"2010.09981","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.09981","snapshot_observed_at":"2026-07-02T15:47:06.329887Z","title":"Wang,The local entropy along Ricci flow—Part B: the pseudo-locality theorems, arXiv:2010.09981","venue":null,"work_id":"104565e3-29f3-4db9-81df-1b7499ec35af","year":2010},"citing_paper":{"arxiv_id":"2605.24380","last_updated":"2026-05-23T03:38:38Z","snapshot_observed_at":"2026-08-12T16:59:59.576190Z","submitted_at":"2026-05-23T03:38:38Z","title":"Fibrations, the First Betti Number, and Almost Nonnegative Ricci Curvature","version":1},"reference_index":73,"source":"arxiv_source","source_observed_at":"2026-06-30T12:54:16.211059Z"},"links":{"cited_paper":"/paper/2010.09981","citing_paper":"/paper/2605.24380"},"observation_digest":"sha256:8827848bd0499a1f068bf24b37603159ecd997a3461ae2826efdb60483374f31","observation_id":"2ea6e9d0-8513-4c5f-89c9-eaa7260a8928","resolution":{"observed_at":"2026-06-30T12:54:39.741675Z","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":"2010.09981","last_updated":"2020-10-20T03:01:14Z","snapshot_observed_at":"2026-07-06T10:06:02.860601Z","submitted_at":"2020-10-20T03:01:14Z","title":"The local entropy along Ricci flow---Part B: the pseudo-locality theorems","version":1},"cited_work":{"arxiv_id":"2010.09981","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.09981","snapshot_observed_at":"2026-07-02T15:47:06.329887Z","title":"Wang,The local entropy along Ricci flow—Part B: the pseudo-locality theorems, arXiv:2010.09981","venue":null,"work_id":"104565e3-29f3-4db9-81df-1b7499ec35af","year":2010},"citing_paper":{"arxiv_id":"2606.06619","last_updated":"2026-06-04T18:11:34Z","snapshot_observed_at":"2026-08-02T05:51:58.211777Z","submitted_at":"2026-06-04T18:11:34Z","title":"On the structure of complete $G_2$-solitons","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-27T23:29:21.691157Z"},"links":{"cited_paper":"/paper/2010.09981","citing_paper":"/paper/2606.06619"},"observation_digest":"sha256:013b4520be38b22d873475fb6820b0eb69f9ee4d15dcc696310ea08d88339ce1","observation_id":"8bc5711d-1b0e-49f9-bccc-8cb16c991b50","resolution":{"observed_at":"2026-07-02T15:47:06.331782Z","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/2010.09981/citation-record","integrity":"/paper/2010.09981/integrity","json":"/paper/2010.09981/citation-record.json","paper":"/paper/2010.09981"},"outbound":[],"paper":{"arxiv_id":"2010.09981","last_updated":"2020-10-20T03:01:14Z","latest_version":1,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T10:06:02.860601Z","submitted_at":"2020-10-20T03:01:14Z","title":"The local entropy along Ricci flow---Part B: the pseudo-locality theorems"},"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:2010.09981."}