{"as_of":"2026-08-13T07:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1fe8b191f6ccfc3adbef22e32f050753815ade921a484aba8fc44acba2a420d2","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":6,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":6,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":6,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":6,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T13:24:03.218787Z","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":"2026-07-03T02:57:34.487773Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2306.01606","last_updated":"2025-01-27T05:45:18Z","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.01606","snapshot_observed_at":"2026-08-11T13:24:03.218787Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.13315","last_updated":"2024-12-17T20:30:51Z","snapshot_observed_at":"2026-08-11T19:20:52.811499Z","submitted_at":"2024-12-17T20:30:51Z","title":"Spherical maximal estimates via geometry","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T13:24:03.218787Z"},"links":{"cited_paper":"/paper/2306.01606","citing_paper":"/paper/2412.13315"},"observation_digest":"sha256:309929db541d5cc55aca5c710b09127546feadb85aa2301bc1606da8b7864ea0","observation_id":"a7ec8346-6efc-4d5b-aca0-d3680d907936","resolution":{"observed_at":"2026-08-11T13:24:03.218787Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.01606","last_updated":"2025-01-27T05:45:18Z","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.01606","snapshot_observed_at":"2026-08-10T22:04:37.114075Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2501.03532","last_updated":"2025-01-07T05:00:09Z","snapshot_observed_at":"2026-08-13T02:50:51.746869Z","submitted_at":"2025-01-07T05:00:09Z","title":"Improved packing of hypersurfaces in $\\mathbb R^d$","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-10T22:04:37.114075Z"},"links":{"cited_paper":"/paper/2306.01606","citing_paper":"/paper/2501.03532"},"observation_digest":"sha256:187e30a2aeadabc894d7e3032d02dc55306fd39d23c0d805adb585030fb53c37","observation_id":"807f4b2e-faa3-4b34-bd91-12a39d27bed3","resolution":{"observed_at":"2026-08-10T22:04:37.114075Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.01606","last_updated":"2025-01-27T05:45:18Z","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.01606","snapshot_observed_at":"2026-08-09T11:19:13.237354Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2502.02795","last_updated":"2025-02-05T00:43:34Z","snapshot_observed_at":"2026-08-11T00:43:49.903357Z","submitted_at":"2025-02-05T00:43:34Z","title":"Improved $L^p$ bounds for the strong spherical maximal operator","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T11:19:13.237354Z"},"links":{"cited_paper":"/paper/2306.01606","citing_paper":"/paper/2502.02795"},"observation_digest":"sha256:c1d84911460dae0a601d51880341ba8dea787ed489b4208422dd92dff53199c2","observation_id":"44b86a16-a569-4e93-8879-0818620000c2","resolution":{"observed_at":"2026-08-09T11:19:13.237354Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.01606","last_updated":"2025-01-27T05:45:18Z","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.01606","snapshot_observed_at":"2026-08-06T18:03:35.098528Z","title":"Chen and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.09962","last_updated":"2025-07-14T06:28:06Z","snapshot_observed_at":"2026-08-09T11:01:33.429148Z","submitted_at":"2025-07-14T06:28:06Z","title":"Lacunary $\\delta$-Discretised Spherical Maximal Operators","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T18:03:35.098528Z"},"links":{"cited_paper":"/paper/2306.01606","citing_paper":"/paper/2507.09962"},"observation_digest":"sha256:afaa7e22482b1a29b6f5fa6499422a4f3155757bca2084973be13275aeaac2d1","observation_id":"878d6b2b-6616-4485-adec-3aa0b428f851","resolution":{"observed_at":"2026-08-06T18:03:35.098528Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.01606","last_updated":"2025-01-27T05:45:18Z","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature","version":7},"cited_work":{"arxiv_id":"2306.01606","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.01606","snapshot_observed_at":"2026-07-03T02:57:34.487773Z","title":"A multi-parameter cinematic curvature","venue":null,"work_id":"4b00f772-abe8-4929-9f7c-43cc5da051c0","year":2023},"citing_paper":{"arxiv_id":"2511.11283","last_updated":"2026-05-10T07:01:14Z","snapshot_observed_at":"2026-08-11T19:30:27.946902Z","submitted_at":"2025-11-14T13:18:00Z","title":"Problems on spherical maximal functions","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-17T22:38:23.290037Z"},"links":{"cited_paper":"/paper/2306.01606","citing_paper":"/paper/2511.11283"},"observation_digest":"sha256:657fe51272e38eb4636d96b4dcac49b4f7557aef564c53fb51430521421b3272","observation_id":"e7f57615-68b4-4594-b1a7-7565f7aa7f18","resolution":{"observed_at":"2026-05-17T22:40:23.565717Z","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":"2306.01606","last_updated":"2025-01-27T05:45:18Z","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature","version":7},"cited_work":{"arxiv_id":"2306.01606","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2306.01606","snapshot_observed_at":"2026-07-03T02:57:34.487773Z","title":"A multi-parameter cinematic curvature","venue":null,"work_id":"4b00f772-abe8-4929-9f7c-43cc5da051c0","year":2023},"citing_paper":{"arxiv_id":"2607.02189","last_updated":"2026-07-02T13:58:26Z","snapshot_observed_at":"2026-08-03T09:44:33.585772Z","submitted_at":"2026-07-02T13:58:26Z","title":"Bochner-Riesz means on the Heisenberg group","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-03T02:54:31.264354Z"},"links":{"cited_paper":"/paper/2306.01606","citing_paper":"/paper/2607.02189"},"observation_digest":"sha256:3bf6678f1b3882b5da9f491337663cd4de6ecf403a152e4742ce88ec39b82a65","observation_id":"8d293d02-61f5-4d46-bb52-4b0dadc59453","resolution":{"observed_at":"2026-07-03T02:57:34.489799Z","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/2306.01606/citation-record","integrity":"/paper/2306.01606/integrity","json":"/paper/2306.01606/citation-record.json","paper":"/paper/2306.01606"},"outbound":[],"paper":{"arxiv_id":"2306.01606","last_updated":"2025-01-27T05:45:18Z","latest_version":7,"primary_category":"math.CA","snapshot_observed_at":"2026-08-04T10:55:31.353695Z","submitted_at":"2023-06-02T15:13:24Z","title":"A multi-parameter cinematic curvature"},"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 6 inbound Pith citation observations for arXiv:2306.01606."}