{"as_of":"2026-08-12T21:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:7d8c6625ea0c686e339f571e1af410589a4cd851230843c07170f3245e27537e","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":"2026-08-12T06:34:41.77262+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":"2026-08-12T06:04:47.370369Z","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":"2026-05-15T01:58:29.080899Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2006.11449","last_updated":"2022-06-30T12:41:56Z","snapshot_observed_at":"2026-08-12T15:51:26.201504Z","submitted_at":"2020-06-20T00:48:04Z","title":"Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.11449","snapshot_observed_at":"2026-08-12T06:04:47.370369Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2411.19740","last_updated":"2025-02-05T10:41:29Z","snapshot_observed_at":"2026-08-12T08:31:36.364870Z","submitted_at":"2024-11-29T14:39:33Z","title":"The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T06:04:47.370369Z"},"links":{"cited_paper":"/paper/2006.11449","citing_paper":"/paper/2411.19740"},"observation_digest":"sha256:5ec5a5bbda406e07f3cd2a818fa4d2b52bdee8d952cce23e13ce414dfa45e05c","observation_id":"36cbea7e-5920-48be-8d7e-5ed6bb88298b","resolution":{"observed_at":"2026-08-12T06:04:47.370369Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2006.11449","last_updated":"2022-06-30T12:41:56Z","snapshot_observed_at":"2026-08-12T15:51:26.201504Z","submitted_at":"2020-06-20T00:48:04Z","title":"Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics","version":3},"cited_work":{"arxiv_id":"2006.11449","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.11449","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d9758bc0-11d2-41ec-806b-e84f872f3cb9","year":2023},"citing_paper":{"arxiv_id":"2505.23895","last_updated":"2026-08-10T18:09:57Z","snapshot_observed_at":"2026-08-12T21:19:01.364647Z","submitted_at":"2025-05-29T18:00:01Z","title":"Black hole spectroscopy: from theory to experiment","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-12T01:31:22.627350Z"},"links":{"cited_paper":"/paper/2006.11449","citing_paper":"/paper/2505.23895"},"observation_digest":"sha256:68635d34194248cf895dfbd2650c054ce27f0114f9544fd8ceda4d57f783a79c","observation_id":"0fd272e8-8271-4de5-ad24-63cadda01573","resolution":{"observed_at":"2026-05-12T01:31:24.039453Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.11449","last_updated":"2022-06-30T12:41:56Z","snapshot_observed_at":"2026-08-12T15:51:26.201504Z","submitted_at":"2020-06-20T00:48:04Z","title":"Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics","version":3},"cited_work":{"arxiv_id":"2006.11449","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.11449","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d9758bc0-11d2-41ec-806b-e84f872f3cb9","year":2023},"citing_paper":{"arxiv_id":"2604.13182","last_updated":"2026-04-14T18:05:44Z","snapshot_observed_at":"2026-08-12T19:17:18.055241Z","submitted_at":"2026-04-14T18:05:44Z","title":"Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T14:39:18.855521Z"},"links":{"cited_paper":"/paper/2006.11449","citing_paper":"/paper/2604.13182"},"observation_digest":"sha256:f6e9f5e319489cbc11f059a16d9839992fc4a1379be7a30cdbdf39519ca15510","observation_id":"26e4fcd8-5957-4fe1-839f-61ccd45ff5b2","resolution":{"observed_at":"2026-05-10T14:40:32.359153Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.11449","last_updated":"2022-06-30T12:41:56Z","snapshot_observed_at":"2026-08-12T15:51:26.201504Z","submitted_at":"2020-06-20T00:48:04Z","title":"Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics","version":3},"cited_work":{"arxiv_id":"2006.11449","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.11449","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d9758bc0-11d2-41ec-806b-e84f872f3cb9","year":2023},"citing_paper":{"arxiv_id":"2605.14078","last_updated":"2026-05-13T20:01:38Z","snapshot_observed_at":"2026-08-06T06:01:27.354396Z","submitted_at":"2026-05-13T20:01:38Z","title":"Properties of natural polynomials for Schwarzschild and Kerr black holes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-15T01:55:11.566487Z"},"links":{"cited_paper":"/paper/2006.11449","citing_paper":"/paper/2605.14078"},"observation_digest":"sha256:4f6ca22f9d80a117bbbfeef04a79cd3dd843d3307b26d859722f8f62fbdb2058","observation_id":"229f1ac2-0b7b-494e-8083-e20c2a7e3752","resolution":{"observed_at":"2026-05-15T01:58:29.082592Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2006.11449/citation-record","integrity":"/paper/2006.11449/integrity","json":"/paper/2006.11449/citation-record.json","paper":"/paper/2006.11449"},"outbound":[],"paper":{"arxiv_id":"2006.11449","last_updated":"2022-06-30T12:41:56Z","latest_version":3,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-12T15:51:26.201504Z","submitted_at":"2020-06-20T00:48:04Z","title":"Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics"},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2006.11449."}