{"as_of":"2026-08-12T03:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:d676dede739b08eff9f47253c7002350e98678ce9d1fb5fdb33eafc50c9f9fc6","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":2,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":2,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T20:23:13.128337Z","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":"2026-07-02T20:17:22.124146Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2010.15663","last_updated":"2021-01-11T21:50:12Z","snapshot_observed_at":"2026-07-06T10:09:50.077437Z","submitted_at":"2020-10-29T15:13:05Z","title":"$d_p$ convergence and $\\epsilon$-regularity theorems for entropy and scalar curvature lower bounds","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.15663","snapshot_observed_at":"2026-08-10T20:23:13.128337Z","title":"Drawstrings and flexibility in the geroch conjecture, 2023","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.09149","last_updated":"2025-01-15T21:05:11Z","snapshot_observed_at":"2026-08-11T19:02:09.851505Z","submitted_at":"2025-01-15T21:05:11Z","title":"Codimension 2 drawstrings with scalar curvature lower bounds","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-10T20:23:13.128337Z"},"links":{"cited_paper":"/paper/2010.15663","citing_paper":"/paper/2501.09149"},"observation_digest":"sha256:06db7201fa03dafdb5eb813af402129439bec9aeb66c1eda21474a0bf76ff0d7","observation_id":"b9a68ea8-d59d-4d59-af5a-963fe4cb5a0f","resolution":{"observed_at":"2026-08-10T20:23:13.128337Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.15663","last_updated":"2021-01-11T21:50:12Z","snapshot_observed_at":"2026-07-06T10:09:50.077437Z","submitted_at":"2020-10-29T15:13:05Z","title":"$d_p$ convergence and $\\epsilon$-regularity theorems for entropy and scalar curvature lower bounds","version":2},"cited_work":{"arxiv_id":"2010.15663","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2010.15663","snapshot_observed_at":"2026-07-02T20:17:22.124146Z","title":"arXiv preprint arXiv:2010.15663 , title =","venue":null,"work_id":"0db88d7a-7d87-441a-b5bd-71e882f76786","year":2010},"citing_paper":{"arxiv_id":"2606.07864","last_updated":"2026-06-22T21:55:30Z","snapshot_observed_at":"2026-07-06T23:47:29.065892Z","submitted_at":"2026-06-05T21:53:03Z","title":"On $3$-manifolds with small mass and $L^2$-curvature","version":2},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-06-27T20:40:54.742335Z"},"links":{"cited_paper":"/paper/2010.15663","citing_paper":"/paper/2606.07864"},"observation_digest":"sha256:d1fd564a4d59e9fce5db077081a6e2fdf454117e81a97fb6a7be6f41ad3432f4","observation_id":"a87af822-9f1d-4b1d-916a-ce7f38966c8a","resolution":{"observed_at":"2026-07-02T20:17:22.126006Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2010.15663/citation-record","integrity":"/paper/2010.15663/integrity","json":"/paper/2010.15663/citation-record.json","paper":"/paper/2010.15663"},"outbound":[],"paper":{"arxiv_id":"2010.15663","last_updated":"2021-01-11T21:50:12Z","latest_version":2,"primary_category":"math.DG","snapshot_observed_at":"2026-07-06T10:09:50.077437Z","submitted_at":"2020-10-29T15:13:05Z","title":"$d_p$ convergence and $\\epsilon$-regularity theorems for entropy and scalar curvature lower bounds"},"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":"2026-08-11T06:34:44.6726+00:00","source":"crossref"},{"observed_at":"2026-08-11T06:34:36.301508+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2010.15663."}