{"as_of":"2026-08-11T13:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ebb04b64d1bb9ce616a7eb103ef042c99d1e8b9f82ed4fc7003be96264edfc94","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":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-11T06:34:44.6726+00:00","state":"measured"},{"denominator":10,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:44:24.167638Z","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":"2026-07-01T17:55:51.258402Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":"2302.08916","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-07-01T17:55:51.258402Z","title":"Bound edness and decay for the Teukolsky equation on Kerr in the full subextremal range |a|< m: physical space analysis","venue":null,"work_id":"8c4448b8-d53e-43c7-85d5-6171a1be3cbe","year":2023},"citing_paper":{"arxiv_id":"2410.04758","last_updated":"2024-10-07T05:22:59Z","snapshot_observed_at":"2026-08-02T16:32:09.404984Z","submitted_at":"2024-10-07T05:22:59Z","title":"Asymptotically Anti-de Sitter Spherically Symmetric Hairy Black Holes","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-23T20:06:31.946061Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2410.04758"},"observation_digest":"sha256:1af1e8ec9c1a015cade83770813e45c90c6b3f78c456a06c969409832c94a206","observation_id":"f6ef5fe0-953e-4943-a2f3-9d3324bb0dda","resolution":{"observed_at":"2026-05-23T20:08:23.977532Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":"2302.08916","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-07-01T17:55:51.258402Z","title":"Bound edness and decay for the Teukolsky equation on Kerr in the full subextremal range |a|< m: physical space analysis","venue":null,"work_id":"8c4448b8-d53e-43c7-85d5-6171a1be3cbe","year":2023},"citing_paper":{"arxiv_id":"2505.23895","last_updated":"2025-08-24T14:24:16Z","snapshot_observed_at":"2026-08-01T14:00:16.213665Z","submitted_at":"2025-05-29T18:00:01Z","title":"Black hole spectroscopy: from theory to experiment","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-05-12T01:31:22.627350Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2505.23895"},"observation_digest":"sha256:a3893bebbd2829c8a7ce906b379742ce95381c59ddf5070b7bade05400743f3f","observation_id":"07fe3469-e36b-401c-8e04-4d084bb83799","resolution":{"observed_at":"2026-05-12T01:31:24.464898Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-08-07T10:44:24.167638Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range |a| ă M : physical space analysis,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.04812","last_updated":"2025-06-05T09:35:00Z","snapshot_observed_at":"2026-08-11T01:21:50.763667Z","submitted_at":"2025-06-05T09:35:00Z","title":"Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordstr\\\"om Black Hole","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T10:44:24.167638Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2506.04812"},"observation_digest":"sha256:e22005c48fd5c0e9864ef5889e5d795384335f9030e2422e5ca9bcac7cf68f05","observation_id":"79cea6d3-1a03-4e5f-b8fe-69645f034b3a","resolution":{"observed_at":"2026-08-07T10:44:24.167638Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-08-06T22:39:21.428568Z","title":"Boundedness and decay for the T eukolsky equation on K err in the full subextremal range |a|< M : physical space analysis","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.21183","last_updated":"2025-06-26T12:43:18Z","snapshot_observed_at":"2026-08-11T01:21:51.347936Z","submitted_at":"2025-06-26T12:43:18Z","title":"Linear stability of Kerr black holes in the full subextremal range","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T22:39:21.428568Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2506.21183"},"observation_digest":"sha256:c0780e61b8e2c6bb59162dc59925d3e44cfcd89b619cc5fdc4b665e42a292fd9","observation_id":"21cc7a63-6892-4f47-b118-b54384a84cf3","resolution":{"observed_at":"2026-08-06T22:39:21.428568Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-08-04T23:08:01.420071Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.06828","last_updated":"2025-09-08T16:03:04Z","snapshot_observed_at":"2026-08-11T00:29:54.809462Z","submitted_at":"2025-09-08T16:03:04Z","title":"Elliptic curvature estimates for linearised gravitational perturbations of Kerr in the full sub-extremal range $|a|<M$","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-04T23:08:01.420071Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2509.06828"},"observation_digest":"sha256:3e71228f190356e31bf9bfde5344a80981a634627d3c786f825a9135dced9f88","observation_id":"786f3ec0-bfc9-4035-b3d6-ea9f96e6e041","resolution":{"observed_at":"2026-08-04T23:08:01.420071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-08-03T21:09:35.601468Z","title":"Shlapentokh-Rothman and R","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.16640","last_updated":"2026-05-29T15:11:15Z","snapshot_observed_at":"2026-08-03T21:09:32.424642Z","submitted_at":"2025-11-20T18:47:55Z","title":"Ergodic Hysteresis of the Kerr black hole spectrum","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T21:09:35.601468Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2511.16640"},"observation_digest":"sha256:1aa8639b98c81be266d368ffbcc4e34ecf94509b937deaf7c3ada5c57677277a","observation_id":"47c0c442-83cf-4fb6-b5e6-e28b452df652","resolution":{"observed_at":"2026-08-03T21:09:35.601468Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":"2302.08916","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-07-01T17:55:51.258402Z","title":"Bound edness and decay for the Teukolsky equation on Kerr in the full subextremal range |a|< m: physical space analysis","venue":null,"work_id":"8c4448b8-d53e-43c7-85d5-6171a1be3cbe","year":2023},"citing_paper":{"arxiv_id":"2604.09298","last_updated":"2026-04-10T13:08:03Z","snapshot_observed_at":"2026-08-02T22:33:45.180399Z","submitted_at":"2026-04-10T13:08:03Z","title":"Massless Maxwell fields on sub-extremal Kerr-Newman exteriors","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T17:48:46.148947Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2604.09298"},"observation_digest":"sha256:d105519f22d5b695cb3369b29085e9de2e9d79bba7f7c4e5d0517eaea33c1225","observation_id":"56074adc-fbc6-4a4b-9d62-7bc55fd646f6","resolution":{"observed_at":"2026-05-11T06:05:57.138734Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"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"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":"2302.08916","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-07-01T17:55:51.258402Z","title":"Bound edness and decay for the Teukolsky equation on Kerr in the full subextremal range |a|< m: physical space analysis","venue":null,"work_id":"8c4448b8-d53e-43c7-85d5-6171a1be3cbe","year":2023},"citing_paper":{"arxiv_id":"2606.28008","last_updated":"2026-06-26T12:07:50Z","snapshot_observed_at":"2026-08-02T18:37:37.205474Z","submitted_at":"2026-06-26T12:07:50Z","title":"(Non-)Linear waves on asymptotically flat spacetimes. II: trapping, bound states, nonlinear applications","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-29T03:55:35.810616Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2606.28008"},"observation_digest":"sha256:de1eebf1e03a0a0ba3752e1763f7f55e489151fd3a0bd6a303bef6e522889eb4","observation_id":"7b15e829-0172-4512-ae54-e09bf7306275","resolution":{"observed_at":"2026-07-01T17:15:51.866352Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":"2302.08916","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-07-01T17:55:51.258402Z","title":"Bound edness and decay for the Teukolsky equation on Kerr in the full subextremal range |a|< m: physical space analysis","venue":null,"work_id":"8c4448b8-d53e-43c7-85d5-6171a1be3cbe","year":2023},"citing_paper":{"arxiv_id":"2606.28253","last_updated":"2026-08-03T19:56:33Z","snapshot_observed_at":"2026-08-07T23:09:31.282327Z","submitted_at":"2026-06-26T16:39:00Z","title":"Nonlinear stability of subextremal Kerr black holes","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-06-29T02:56:55.718762Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2606.28253"},"observation_digest":"sha256:1da2b36e99afe1d4d04587b9d2eeba9bad1c5af012716fd1b1d82da5b122f987","observation_id":"23086d91-e5b1-4930-a202-02c8646f57b6","resolution":{"observed_at":"2026-07-01T17:55:51.260167Z","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"}},{"citation":{"cited_paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2302.08916","snapshot_observed_at":"2026-07-13T05:30:50.076813Z","title":"Shlapentokh-Rothman and R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.08958","last_updated":"2026-07-09T21:48:50Z","snapshot_observed_at":"2026-08-10T17:31:49.763329Z","submitted_at":"2026-07-09T21:48:50Z","title":"A Physical space derivation of Morawetz-Energy estimates in Kerr spacetimes with large angular momentum","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-07-13T05:30:50.076813Z"},"links":{"cited_paper":"/paper/2302.08916","citing_paper":"/paper/2607.08958"},"observation_digest":"sha256:d08773b16a90c5d871ef6552b512e660c173ee3c10a352be0048f8780477fc05","observation_id":"7a052657-3cf6-402c-a264-b4df8c87242c","resolution":{"observed_at":"2026-07-13T05:30:50.076813Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2302.08916/citation-record","integrity":"/paper/2302.08916/integrity","json":"/paper/2302.08916/citation-record.json","paper":"/paper/2302.08916"},"outbound":[],"paper":{"arxiv_id":"2302.08916","last_updated":"2023-02-21T18:13:39Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-10T07:32:36.028309Z","submitted_at":"2023-02-17T14:43:34Z","title":"Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range $|a|<M$: physical space analysis"},"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 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2302.08916."}