{"as_of":"2026-08-08T15:01:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:5adf2317ca95bedce28dad72a37026e8000ff3d4fd2320ec8485f2b3192354ed","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":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":11,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:40:09.900443Z","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":"2026-07-03T12:28:08.067658Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-07T11:40:09.900443Z","title":"Lisovyy and A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.01766","last_updated":"2025-06-23T02:37:50Z","snapshot_observed_at":"2026-08-07T11:31:43.967210Z","submitted_at":"2025-06-02T15:13:40Z","title":"Janus correlators and Heun's equation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T11:40:09.900443Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2506.01766"},"observation_digest":"sha256:90b82cf9cf264d53b19b67659dfaf9472a6decdb89167020054f541cf428dde2","observation_id":"16323170-f303-4885-bf47-e37da756073c","resolution":{"observed_at":"2026-08-07T11:40:09.900443Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-07T05:09:12.675108Z","title":"Lisovyy and A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.08959","last_updated":"2025-06-10T16:30:52Z","snapshot_observed_at":"2026-08-07T15:35:07.081946Z","submitted_at":"2025-06-10T16:30:52Z","title":"One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T05:09:12.675108Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2506.08959"},"observation_digest":"sha256:20d03e76a0b0c99e15dd98fcae1eb84946306e075dc1408a1d8d914c877ceaf2","observation_id":"a6597a74-ae07-4e46-bf8c-312696df05e0","resolution":{"observed_at":"2026-08-07T05:09:12.675108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-06T19:46:39.674098Z","title":"Lisovyy and A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.04860","last_updated":"2025-07-07T10:37:34Z","snapshot_observed_at":"2026-08-07T14:40:47.606535Z","submitted_at":"2025-07-07T10:37:34Z","title":"Blowing-up the edge: connection formulae and stability chart of the Lam\\'e equation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T19:46:39.674098Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2507.04860"},"observation_digest":"sha256:a1ba2b6b2336556d4cc4de8846ecdbff6108d8690578ba1f8ede8a3541136f10","observation_id":"42ba9494-aff5-484a-b897-b1fbec309da7","resolution":{"observed_at":"2026-08-06T19:46:39.674098Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-04T00:17:49.224148Z","title":"Perturbative connection formulas for Heun equations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.02372","last_updated":"2026-06-16T15:34:17Z","snapshot_observed_at":"2026-08-06T16:54:03.476772Z","submitted_at":"2025-11-04T08:49:47Z","title":"Dynamical Tidal Response of Schwarzschild Black Holes","version":3},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-04T00:17:49.224148Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2511.02372"},"observation_digest":"sha256:57967fd1b2d99e0d657faf96409cd4f62aa79b3c45fc803882c357a381bf7740","observation_id":"b076c1bb-8b14-4cf5-8a16-3c38f2680715","resolution":{"observed_at":"2026-08-04T00:17:49.224148Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-03T21:09:37.336620Z","title":"Lisovyy and A","venue":null,"work_id":null,"year":2022},"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":48,"source":"pdf_text","source_observed_at":"2026-08-03T21:09:37.336620Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2511.16640"},"observation_digest":"sha256:8acd2d0b6fcd2ddbe4080fa68ce0e642ea7df1ed52de28d499280f6187ac934c","observation_id":"8e6b4206-ab6f-4472-a768-704c38812dc7","resolution":{"observed_at":"2026-08-03T21:09:37.336620Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":"2208.01604","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-07-03T12:28:08.067658Z","title":"Lisovyy and A","venue":null,"work_id":"14a606f2-2da7-413c-a98b-41d27b1cf776","year":2022},"citing_paper":{"arxiv_id":"2604.04352","last_updated":"2026-04-06T01:59:10Z","snapshot_observed_at":"2026-07-06T22:53:20.122451Z","submitted_at":"2026-04-06T01:59:10Z","title":"Superradiant Suppression of Non-minimally Coupled Scalar fields for a Rotating Charged dS Black Hole in Conformal Weyl Gravity","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-05-10T20:27:04.350753Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2604.04352"},"observation_digest":"sha256:bc7d5e129a3b5ec1e3ea6a727d1a32cb2ef288a95ef37febb25282405e1a7297","observation_id":"e3190adb-631e-4e49-a5c7-b202538aacd3","resolution":{"observed_at":"2026-05-10T21:55:52.359558Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":"2208.01604","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-07-03T12:28:08.067658Z","title":"Lisovyy and A","venue":null,"work_id":"14a606f2-2da7-413c-a98b-41d27b1cf776","year":2022},"citing_paper":{"arxiv_id":"2605.01964","last_updated":"2026-05-03T16:51:02Z","snapshot_observed_at":"2026-08-02T19:13:36.971452Z","submitted_at":"2026-05-03T16:51:02Z","title":"Pole Structure of Kerr Green's Function","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-09T16:19:04.254304Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2605.01964"},"observation_digest":"sha256:b925c63cfd68ddd5cd590ceebc1e2899baedabb445cfeada3ffacf2e496619bf","observation_id":"918ae6a9-292d-4e27-90a3-d15e2cb15e9f","resolution":{"observed_at":"2026-05-11T16:31:10.825385Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":"2208.01604","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-07-03T12:28:08.067658Z","title":"Lisovyy and A","venue":null,"work_id":"14a606f2-2da7-413c-a98b-41d27b1cf776","year":2022},"citing_paper":{"arxiv_id":"2605.16792","last_updated":"2026-05-16T03:54:11Z","snapshot_observed_at":"2026-07-06T23:27:52.850836Z","submitted_at":"2026-05-16T03:54:11Z","title":"Static electromagnetic Love tensors of 5-dimensional Myers-Perry black holes","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-19T21:18:36.523976Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2605.16792"},"observation_digest":"sha256:65e7da5c18a7d054cb700cd1602a0d2d52887b4e67b6340bb503f5ee91d313d6","observation_id":"b26241c8-1355-49cc-88f7-7689303827b2","resolution":{"observed_at":"2026-05-19T21:22:48.355047Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":"2208.01604","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-07-03T12:28:08.067658Z","title":"Lisovyy and A","venue":null,"work_id":"14a606f2-2da7-413c-a98b-41d27b1cf776","year":2022},"citing_paper":{"arxiv_id":"2606.12529","last_updated":"2026-07-20T13:34:40Z","snapshot_observed_at":"2026-08-06T07:25:40.252618Z","submitted_at":"2026-06-10T18:00:03Z","title":"Analytic approaches to perturbations of strongly coupled Yang-Mills plasma","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-27T08:57:44.309294Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2606.12529"},"observation_digest":"sha256:9be52878141aa2308f60fe7c343105485d9e4ab81bbe1e30bc5cc865108d1aab","observation_id":"bca90a38-e853-44ea-84a1-c4fa3e25a06c","resolution":{"observed_at":"2026-07-03T12:28:08.069112Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-02T11:51:35.840208Z","title":"Perturbative connection formulas for Heun equations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.12529","last_updated":"2026-07-20T13:34:40Z","snapshot_observed_at":"2026-08-06T07:25:40.252618Z","submitted_at":"2026-06-10T18:00:03Z","title":"Analytic approaches to perturbations of strongly coupled Yang-Mills plasma","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-02T11:51:35.840208Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2606.12529"},"observation_digest":"sha256:09f112b6401cf7b7498f80831b860cf63bc06671cf634eab985669e8bdbd04d8","observation_id":"52f91641-1208-4f92-a694-fc39cf49e847","resolution":{"observed_at":"2026-08-02T11:51:35.840208Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.01604","snapshot_observed_at":"2026-08-05T04:17:53.696548Z","title":"Perturbative connection formulas for Heun equations,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.00363","last_updated":"2026-08-01T00:24:38Z","snapshot_observed_at":"2026-08-08T01:38:13.575632Z","submitted_at":"2026-08-01T00:24:38Z","title":"Projecting Gravitational Fluctuations onto Near-Horizon Throats","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-05T04:17:53.696548Z"},"links":{"cited_paper":"/paper/2208.01604","citing_paper":"/paper/2608.00363"},"observation_digest":"sha256:03d00a7af6da36129e6e82f3acec0190759542811647b4273e7472c938f75ba8","observation_id":"1c7a079a-21c2-425e-be94-ac2ed13476ec","resolution":{"observed_at":"2026-08-05T04:17:53.696548Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2208.01604/citation-record","integrity":"/paper/2208.01604/integrity","json":"/paper/2208.01604/citation-record.json","paper":"/paper/2208.01604"},"outbound":[],"paper":{"arxiv_id":"2208.01604","last_updated":"2022-10-17T21:32:58Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-07-06T13:38:01.856971Z","submitted_at":"2022-08-02T17:20:37Z","title":"Perturbative connection formulas for Heun equations"},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2208.01604."}