{"as_of":"2026-08-19T16:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:23ee7fd541b6610e79ed508af9852465920e5184876acbb1f7b939eefd4d5d60","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":75,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":75,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-19T06:32:44.657259+00:00","state":"measured"},{"denominator":75,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":75,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T05:07:01.669456Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-10T19:37:33.785505Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T21:39:35.765053Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.08486","last_updated":"2025-06-16T11:03:56Z","snapshot_observed_at":"2026-08-16T09:42:26.320933Z","submitted_at":"2024-11-13T10:07:28Z","title":"Determining parameters of Kerr-Newman black holes by shadow observation from finite distance and spatial infinity","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-12T21:39:35.765053Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2411.08486"},"observation_digest":"sha256:c2e7d0d7d8399bb7fa339b4e01f3b037898cfa8ff41308bae8a32bb583a527a8","observation_id":"1eaa3d2d-ee56-4a38-84d6-ab05a1bb5e75","resolution":{"observed_at":"2026-08-12T21:39:35.765053Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T18:11:40.676560Z","title":"Perlick and O.Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.11970","last_updated":"2025-08-14T18:26:16Z","snapshot_observed_at":"2026-08-18T21:42:29.437465Z","submitted_at":"2024-11-18T19:00:37Z","title":"Shadows of generalised Hayward spacetimes : in vacuum and with plasma","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-12T18:11:40.676560Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2411.11970"},"observation_digest":"sha256:6f9ba16d0531537e71daffef6a9703b0bf523e94ad4da2f83a60cdfcb41baf0c","observation_id":"60592271-8187-4968-ba76-6a0108c432ed","resolution":{"observed_at":"2026-08-12T18:11:40.676560Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T15:58:04.988168Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.13897","last_updated":"2024-11-21T07:17:49Z","snapshot_observed_at":"2026-08-13T15:33:55.989016Z","submitted_at":"2024-11-21T07:17:49Z","title":"Observing the eye of the storm I: testing regular black holes with LVK and EHT observations","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-12T15:58:04.988168Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2411.13897"},"observation_digest":"sha256:b9f900a1d1001725b5686627407422bfb5c64c5d8a1f13ebea08d5379290e83f","observation_id":"ac316a24-7449-4829-9888-5662ce793fe9","resolution":{"observed_at":"2026-08-12T15:58:04.988168Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T14:40:04.026235Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.15310","last_updated":"2024-11-26T13:00:53Z","snapshot_observed_at":"2026-08-17T03:01:13.164435Z","submitted_at":"2024-11-22T19:07:50Z","title":"Influence of Observer Inclination and Spacetime Structure on Photon Ring Observables","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T14:40:04.026235Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2411.15310"},"observation_digest":"sha256:6f231d4a3e983344d59e2b0ef4650ece866b4fef2c70ced456b11175e962ec8f","observation_id":"ef31c558-5510-4f9e-8d8a-70b2e97310d9","resolution":{"observed_at":"2026-08-12T14:40:04.026235Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T05:39:38.352970Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.00303","last_updated":"2025-02-27T05:03:29Z","snapshot_observed_at":"2026-08-19T10:05:20.936901Z","submitted_at":"2024-11-30T01:14:51Z","title":"Spacetime-curvature induced uncertainty principle: linking the large-structure global effects to the local black hole physics","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-12T05:39:38.352970Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2412.00303"},"observation_digest":"sha256:0f5f08e91d1b65d0cd9dc8b2004eb6b27430f2a2c776377e598b89a029c2960a","observation_id":"2a5edd56-f2ff-4152-b063-044118236cd5","resolution":{"observed_at":"2026-08-12T05:39:38.352970Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T05:23:31.027401Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.00582","last_updated":"2025-06-09T16:29:10Z","snapshot_observed_at":"2026-08-13T05:43:01.979409Z","submitted_at":"2024-11-30T20:46:49Z","title":"Charged black hole solutions in $f(R,T)$ gravity coupled to nonlinear electrodynamics","version":2},"reference_index":121,"source":"pdf_text","source_observed_at":"2026-08-12T05:23:31.027401Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2412.00582"},"observation_digest":"sha256:575c5609d7107fbdbcba0dd21a8ee4e2c94ed9cbae0466cd563181998346fbda","observation_id":"b2de893b-b8a8-4ee6-a392-11878f5d7dd4","resolution":{"observed_at":"2026-08-12T05:23:31.027401Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-11T12:56:22.696381Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.13775","last_updated":"2024-12-18T12:11:51Z","snapshot_observed_at":"2026-08-19T15:51:19.857003Z","submitted_at":"2024-12-18T12:11:51Z","title":"Black holes and their shadows in $F(R)$ gravity","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T12:56:22.696381Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2412.13775"},"observation_digest":"sha256:ff41c571cf059e0ec9b89ee760d94538e97544a24d019771d736e890c83ab1a1","observation_id":"febdc138-7c4e-4a8a-bef0-3cf7a5da21a8","resolution":{"observed_at":"2026-08-11T12:56:22.696381Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-11T12:39:01.116349Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2412.14126","last_updated":"2025-04-14T15:04:00Z","snapshot_observed_at":"2026-08-12T12:03:11.232134Z","submitted_at":"2024-12-18T18:14:47Z","title":"Gravitational lensing in a plasma from worldlines","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T12:39:01.116349Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2412.14126"},"observation_digest":"sha256:4dc16b072c7aa0297ecd400607a9b26c85195061d901271732ea32a18d7b1022","observation_id":"a4d280fa-7b84-47fb-bbd8-38f02e41c2e0","resolution":{"observed_at":"2026-08-11T12:39:01.116349Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-10T23:00:04.631746Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.00292","last_updated":"2025-01-04T07:23:09Z","snapshot_observed_at":"2026-08-14T18:08:42.881390Z","submitted_at":"2024-12-31T05:54:50Z","title":"Strong gravitational lensing effects around rotating regular black holes","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T23:00:04.631746Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2501.00292"},"observation_digest":"sha256:de04c75fca7feb0791213ff6d020f9a8d6e6a703e574a6223bc00f68a2082bed","observation_id":"2c9813f2-8f62-45aa-9abe-9a68c6821de8","resolution":{"observed_at":"2026-08-10T23:00:04.631746Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-10T21:38:36.375679Z","title":"Perlick, O.Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2501.04509","last_updated":"2025-03-12T17:29:32Z","snapshot_observed_at":"2026-08-13T06:12:55.522709Z","submitted_at":"2025-01-08T13:55:55Z","title":"Gravitational lensing and shadows in the toron solution of Einstein's equations using ray tracing methods","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T21:38:36.375679Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2501.04509"},"observation_digest":"sha256:3e65c484cc4fe8dec02cbb37e959310ea3f62af7e5e77be8a2e3f994f89bd350","observation_id":"5d9e7ffd-d4bd-465d-a384-022c8553c77f","resolution":{"observed_at":"2026-08-10T21:38:36.375679Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-09T18:35:57.767810Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.00589","last_updated":"2025-02-01T23:06:21Z","snapshot_observed_at":"2026-08-16T08:10:37.265378Z","submitted_at":"2025-02-01T23:06:21Z","title":"Novel charged black hole solutions in conformal Killing gravity","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-09T18:35:57.767810Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2502.00589"},"observation_digest":"sha256:eb3293d6a906515e7e7cff4f308848050d90ba5848280e773bf326e87e417c13","observation_id":"4ac8cd73-feab-4ea2-a46a-4e14e5fb94e1","resolution":{"observed_at":"2026-08-09T18:35:57.767810Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-09T14:43:42.894126Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.01747","last_updated":"2025-07-25T23:49:33Z","snapshot_observed_at":"2026-08-14T03:22:12.002826Z","submitted_at":"2025-02-03T19:00:07Z","title":"Signatures of cubic gravity in the strong regime","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-09T14:43:42.894126Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2502.01747"},"observation_digest":"sha256:af42adf0394790700fddf1a6151f9334ad120f710350e5c0153a34c2e18a4757","observation_id":"1064e4c1-0574-4dce-b8fd-35516a95db2e","resolution":{"observed_at":"2026-08-09T14:43:42.894126Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-08T23:50:42.866724Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2502.04044","last_updated":"2025-06-20T14:27:02Z","snapshot_observed_at":"2026-08-13T11:04:48.988788Z","submitted_at":"2025-02-06T13:04:15Z","title":"Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic","version":2},"reference_index":112,"source":"pdf_text","source_observed_at":"2026-08-08T23:50:42.866724Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2502.04044"},"observation_digest":"sha256:59ad2ef8113a2d1be7f1519cc530a0f294bc98df211101dc203a8c6749cbfceb","observation_id":"3546295c-914d-49e2-a5b1-b47a8b5cf085","resolution":{"observed_at":"2026-08-08T23:50:42.866724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-16T05:07:01.669456Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2504.21460","last_updated":"2025-04-30T09:28:08Z","snapshot_observed_at":"2026-08-19T07:37:04.903731Z","submitted_at":"2025-04-30T09:28:08Z","title":"Scalar quasinormal modes, Lyapunov exponents and radii of null geodesics of rotating regular black holes","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-16T05:07:01.669456Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2504.21460"},"observation_digest":"sha256:1bb4d99f2551ccc04f76ccff0891e748a0b42f431d1b7e08c22baf1bad7f3098","observation_id":"2e7bcf60-1a1a-4078-819d-8f50315c93ab","resolution":{"observed_at":"2026-08-16T05:07:01.669456Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-15T23:57:33.485903Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.03661","last_updated":"2025-05-06T16:05:12Z","snapshot_observed_at":"2026-08-19T11:22:43.846874Z","submitted_at":"2025-05-06T16:05:12Z","title":"Supermassive black hole in NGC 4649 (M60) with a dark matter halo: Impact on shadow measurements and thermodynamic properties","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-15T23:57:33.485903Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2505.03661"},"observation_digest":"sha256:7299ab92e8c96961e5022bc74891aacc07f9dcc43f8e6416e7b929c02bc587c2","observation_id":"9edda4be-52ab-4510-b57f-badb2bc8db84","resolution":{"observed_at":"2026-08-15T23:57:33.485903Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-15T23:46:51.615793Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.04222","last_updated":"2025-07-14T15:16:42Z","snapshot_observed_at":"2026-08-18T22:13:30.371711Z","submitted_at":"2025-05-07T08:20:12Z","title":"Relativistic structure of a supermassive black hole embedded in the dark matter halo of NGC 4649 (M60)","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-15T23:46:51.615793Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2505.04222"},"observation_digest":"sha256:6fb481afaa8d8fba862abf943db57b0c739195d352ddfc37171e949f0dc2285d","observation_id":"6b8e3af0-edd9-46e3-916c-4ac81623489f","resolution":{"observed_at":"2026-08-15T23:46:51.615793Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-15T22:51:46.898848Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.06382","last_updated":"2025-05-28T06:37:40Z","snapshot_observed_at":"2026-08-18T07:59:06.519056Z","submitted_at":"2025-05-09T19:03:38Z","title":"Probing Weak-Force Corrections to Black Hole Geometry via Long Range Potentials: Feinberg-Sucher and Ferrer-Nowakowski Potentials","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-15T22:51:46.898848Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2505.06382"},"observation_digest":"sha256:26e34b7a90f9726324312b6874793c883204c047f8a2f800aa56933ea2466414","observation_id":"dbe64801-14e0-42d4-8eeb-112dcdd2f733","resolution":{"observed_at":"2026-08-15T22:51:46.898848Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-07T14:46:35.813247Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.17947","last_updated":"2025-05-23T14:24:05Z","snapshot_observed_at":"2026-08-15T14:44:37.755732Z","submitted_at":"2025-05-23T14:24:05Z","title":"Charged black holes in Kalb-Ramond gravity: Weak Deflection Angle, Shadow cast, Quasinormal Modes and Neutrino annihilation","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T14:46:35.813247Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2505.17947"},"observation_digest":"sha256:68e3d32f95728f0b3e3af0aec87eaa8e181c9e665d03473d0d0149a03019a1d4","observation_id":"3a3b5bfb-e6de-41e0-b0a1-c2f1f6667c5e","resolution":{"observed_at":"2026-08-07T14:46:35.813247Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-07T12:17:39.443017Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.00295","last_updated":"2025-05-30T22:55:33Z","snapshot_observed_at":"2026-08-16T18:19:14.649847Z","submitted_at":"2025-05-30T22:55:33Z","title":"Extended uncertainty principle inspired black hole in a G\\\"odel Universe","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T12:17:39.443017Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2506.00295"},"observation_digest":"sha256:67dd8d529183db67ed455710df94cc6650f74fb25bcc9e4bf43fa832137942b4","observation_id":"133bec50-1c9e-47ef-9d43-3007ceacd133","resolution":{"observed_at":"2026-08-07T12:17:39.443017Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-07T10:40:41.301719Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.04971","last_updated":"2025-09-14T07:24:13Z","snapshot_observed_at":"2026-08-17T13:30:09.429320Z","submitted_at":"2025-06-05T12:43:37Z","title":"Shadow constraints of charged black hole with scalar hair and gravitational waves from extreme mass ratio inspirals","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T10:40:41.301719Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2506.04971"},"observation_digest":"sha256:558e280cfdf3992fe822626fb041158fb31892b57b1f3204721a2346f0701eee","observation_id":"22083f65-8a44-4923-adb4-766cbb8c5cc7","resolution":{"observed_at":"2026-08-07T10:40:41.301719Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2506.14875","last_updated":"2026-04-23T15:47:21Z","snapshot_observed_at":"2026-07-06T21:43:50.059555Z","submitted_at":"2025-06-17T18:00:01Z","title":"Regular Vaidya solutions of effective gravitational theories","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-19T08:50:22.832047Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2506.14875"},"observation_digest":"sha256:be953b12e668b20e4204792006d2fc7faa917b1e2407d494fb921c97951f2ddc","observation_id":"c2baee2c-4cd8-44e9-96a6-18452cf8896d","resolution":{"observed_at":"2026-05-19T08:52:13.626231Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-15T19:20:53.436752Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.17075","last_updated":"2025-06-20T15:26:24Z","snapshot_observed_at":"2026-08-17T15:37:44.578379Z","submitted_at":"2025-06-20T15:26:24Z","title":"Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-15T19:20:53.436752Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2506.17075"},"observation_digest":"sha256:8fc2321f5580c0bc805346a450710fa51f57edda96892d77411a3a4faeb7ecea","observation_id":"805c3df3-756d-4d04-8669-6360ff193e1a","resolution":{"observed_at":"2026-08-15T19:20:53.436752Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-06T16:09:01.519842Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.14565","last_updated":"2025-07-19T10:08:49Z","snapshot_observed_at":"2026-08-15T06:07:52.357547Z","submitted_at":"2025-07-19T10:08:49Z","title":"Image of the time-dependent black hole","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T16:09:01.519842Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2507.14565"},"observation_digest":"sha256:a39c0106813783d4f84d69695a005e7fc781ae1a3cd7d39fd3953e2ab73065fa","observation_id":"7571a4c4-b22b-4611-b848-e248fa3f5d6a","resolution":{"observed_at":"2026-08-06T16:09:01.519842Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-15T18:21:43.045168Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.18787","last_updated":"2025-07-24T20:15:32Z","snapshot_observed_at":"2026-08-19T13:50:42.835654Z","submitted_at":"2025-07-24T20:15:32Z","title":"Effects of matter with anisotropic pressure on the Fan-Wang regular black hole shadows","version":1},"reference_index":105,"source":"pdf_text","source_observed_at":"2026-08-15T18:21:43.045168Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2507.18787"},"observation_digest":"sha256:f08e590f2794050a7beaef756dd765897123436e7fd5468b0bf809aed1015869","observation_id":"c3ed0286-65d6-4dca-a7e7-9c3253843bbe","resolution":{"observed_at":"2026-08-15T18:21:43.045168Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-06T04:53:37.306835Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.03020","last_updated":"2025-08-08T03:15:17Z","snapshot_observed_at":"2026-08-19T03:59:53.492228Z","submitted_at":"2025-08-05T02:59:56Z","title":"Optical Characteristics of the Kerr-Bertotti-Robinson Black Hole","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-06T04:53:37.306835Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2508.03020"},"observation_digest":"sha256:4c4e72a3239470bccdbd1c2076dc446c8a8c2e776a6b97fabb754a0f069deee5","observation_id":"3ae6e94e-be25-4f04-9935-8ada677e5490","resolution":{"observed_at":"2026-08-06T04:53:37.306835Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-06T04:52:29.406538Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.03270","last_updated":"2025-08-05T09:51:03Z","snapshot_observed_at":"2026-08-13T08:37:24.900688Z","submitted_at":"2025-08-05T09:51:03Z","title":"The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential","version":1},"reference_index":122,"source":"pdf_text","source_observed_at":"2026-08-06T04:52:29.406538Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2508.03270"},"observation_digest":"sha256:045c17046970432516555306df1df2d960f1b33b257ec56af7f54d39ae78b3a5","observation_id":"4148ff2a-0e69-4f17-9e75-075bcd25f2de","resolution":{"observed_at":"2026-08-06T04:52:29.406538Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-04T09:00:35.907541Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2510.18264","last_updated":"2025-10-21T03:32:51Z","snapshot_observed_at":"2026-08-16T13:45:23.611112Z","submitted_at":"2025-10-21T03:32:51Z","title":"Quantum improved wormholes in the Dekel-Zhao dark matter halo","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-04T09:00:35.907541Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2510.18264"},"observation_digest":"sha256:cb34ff85b1a024c15c6ff171d5c603d12e2203e0424615ae44ad65077edf86f3","observation_id":"b20d16eb-07fa-4f30-b405-0d7476d2e243","resolution":{"observed_at":"2026-08-04T09:00:35.907541Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2510.18647","last_updated":"2026-05-19T22:49:50Z","snapshot_observed_at":"2026-08-15T12:00:21.888813Z","submitted_at":"2025-10-21T13:58:02Z","title":"Observational Tests of Regular Black Holes with Scalar Hair and their Stability","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-21T20:13:41.585900Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2510.18647"},"observation_digest":"sha256:e872b9b19fb89aa91e1a1133718c786b5cd0febad0f18dc0d61d2649f1c76e33","observation_id":"15791674-ef25-4e0a-aea8-a6efc1a70b75","resolution":{"observed_at":"2026-05-21T20:14:20.115430Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-03T23:28:33.583101Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.06017","last_updated":"2026-05-23T11:35:15Z","snapshot_observed_at":"2026-08-17T06:42:06.627917Z","submitted_at":"2025-11-08T14:09:16Z","title":"A Universal Framework for Horizon-Scale Tests of Gravity with Black Hole Shadows","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T23:28:33.583101Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2511.06017"},"observation_digest":"sha256:948c6af84e887f067af7546c34090cf178002b60a9cb2ad83a72f503855f851e","observation_id":"4f8f9ee0-19fa-4ad0-8f18-184c73d72204","resolution":{"observed_at":"2026-08-03T23:28:33.583101Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-03T22:25:16.321630Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.11419","last_updated":"2025-12-09T15:31:08Z","snapshot_observed_at":"2026-08-13T20:53:07.748826Z","submitted_at":"2025-11-14T15:49:44Z","title":"Regularized Black Hole Solution from a New String Cloud Source","version":3},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-03T22:25:16.321630Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2511.11419"},"observation_digest":"sha256:a1bf756c75db15c6e44131738c03a653702e2b5b98b7f6cd17598af0caaac9ef","observation_id":"7d49ce1a-3b7f-4a71-a629-f6dcd29cd84b","resolution":{"observed_at":"2026-08-03T22:25:16.321630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2602.14182","last_updated":"2026-04-16T05:41:15Z","snapshot_observed_at":"2026-08-05T18:06:52.027169Z","submitted_at":"2026-02-15T15:14:09Z","title":"On the Cuspy Structure of Rotating Wormhole Shadows","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-15T22:13:58.063265Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2602.14182"},"observation_digest":"sha256:60e241f27a33852883cb281d5ad35fd448e4ae1be61d9bf93fc8cff7ce592198","observation_id":"1c438b15-4fb4-429f-9a5c-bc78f2c050d8","resolution":{"observed_at":"2026-05-15T22:16:42.958208Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-02T21:06:26.575987Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.21432","last_updated":"2026-07-04T10:52:16Z","snapshot_observed_at":"2026-08-17T05:45:44.103739Z","submitted_at":"2026-02-24T23:22:30Z","title":"Breathing Black Hole Shadows in Modified Gravity (MOG)","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T21:06:26.575987Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2602.21432"},"observation_digest":"sha256:7661d7e616ce210d2222ee1cdf6d400ff264e2f3eb22568087530e71dcc80e06","observation_id":"af3b5ea3-db85-4b2e-95de-7a11b888d61d","resolution":{"observed_at":"2026-08-02T21:06:26.575987Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-02T20:49:52.298695Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2602.22141","last_updated":"2026-06-18T14:47:07Z","snapshot_observed_at":"2026-08-14T23:58:45.234087Z","submitted_at":"2026-02-25T17:44:58Z","title":"Static Dark Fluid Thin Shells in Schwarzschild-de Sitter Spacetimes: Stability and Black Hole Shadows","version":2},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-02T20:49:52.298695Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2602.22141"},"observation_digest":"sha256:957fd2bab2be7f03a6b9bcfe7624012d6721d6aaaf0e3e4858120e0e95e8d754","observation_id":"acf3e2a1-2ef0-40ae-8587-35e8e36317c4","resolution":{"observed_at":"2026-08-02T20:49:52.298695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-15T12:04:34.107907Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.10097","last_updated":"2026-03-10T17:21:07Z","snapshot_observed_at":"2026-08-15T20:20:38.222212Z","submitted_at":"2026-03-10T17:21:07Z","title":"Optical and orbital characterization of spherically symmetric static black holes of self-gravitating new nonlinear electrodynamics model","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-15T12:04:34.107907Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2603.10097"},"observation_digest":"sha256:fcfc9e99e87927e4903add3430909aef184cd15e5f20373911e5bab9dbb079a2","observation_id":"4e77a669-bb01-41ba-b837-86945cb374c6","resolution":{"observed_at":"2026-07-15T12:04:34.107907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-14T22:53:46.443816Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.11434","last_updated":"2026-06-25T01:26:20Z","snapshot_observed_at":"2026-08-18T22:18:54.906655Z","submitted_at":"2026-03-12T01:55:23Z","title":"Plasma effects on gravitational lensing and shadow observables of a Kerr-like black hole in a dark matter halo","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-07-14T22:53:46.443816Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2603.11434"},"observation_digest":"sha256:ca2bf4350d658091dbbc129b55640b38d35de3ed6a06634dde2a6218807f8485","observation_id":"f9ee25ab-ff4e-4d05-906e-bc8aa8441aa3","resolution":{"observed_at":"2026-07-14T22:53:46.443816Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2603.12670","last_updated":"2026-05-09T00:18:52Z","snapshot_observed_at":"2026-08-02T07:29:08.258022Z","submitted_at":"2026-03-13T05:31:16Z","title":"Shaving off soft hairs and the black hole image memory effect","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-15T12:19:20.968569Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2603.12670"},"observation_digest":"sha256:f1567a67e5e1baa780fc12f9661c3a4bb9a8ea9edb3a6815babd4a18b30cfce6","observation_id":"3bdff2ac-353a-4918-a643-185dd99c7125","resolution":{"observed_at":"2026-05-15T12:20:00.284349Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-02T17:32:16.167859Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2603.25049","last_updated":"2026-07-27T06:09:59Z","snapshot_observed_at":"2026-08-17T01:29:27.447279Z","submitted_at":"2026-03-26T05:32:03Z","title":"Critical Behavior of Photon Rings in Kerr-Bertotti-Robinson Spacetime","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-02T17:32:16.167859Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2603.25049"},"observation_digest":"sha256:458c54908a8e041a1f6b321cf8985059171835b5a8d70f917a847c1a6cf995ce","observation_id":"b96427bc-f66f-44e5-87a2-d165f11d195e","resolution":{"observed_at":"2026-08-02T17:32:16.167859Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.04441","last_updated":"2026-04-06T05:39:36Z","snapshot_observed_at":"2026-08-11T15:58:09.322226Z","submitted_at":"2026-04-06T05:39:36Z","title":"Gravity/thermodynamics correspondence via black hole shadows","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T20:27:30.544350Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.04441"},"observation_digest":"sha256:7ec241b1af609ff3ecd87530333cc5dff40347d4d82c1799ee075f393246e81b","observation_id":"2f9340bc-240f-4cff-918b-34c55a88ab98","resolution":{"observed_at":"2026-05-10T21:55:51.545662Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.13494","last_updated":"2026-04-15T05:26:59Z","snapshot_observed_at":"2026-08-11T11:20:28.439890Z","submitted_at":"2026-04-15T05:26:59Z","title":"Probing Kalb-Ramond gravity with charged rotating black holes: constraints from EHT observations","version":1},"reference_index":139,"source":"pdf_text","source_observed_at":"2026-05-10T13:14:45.286559Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.13494"},"observation_digest":"sha256:3603e3cb31dbff44d5d3db161fc961a2ce35ce6c9859f79c73bcc538d1508c00","observation_id":"5eb6a81a-64a3-4ae7-8271-6fe23217dfb4","resolution":{"observed_at":"2026-05-10T13:15:26.190847Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.13613","last_updated":"2026-04-15T08:26:47Z","snapshot_observed_at":"2026-07-06T23:01:32.542040Z","submitted_at":"2026-04-15T08:26:47Z","title":"From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-10T12:56:29.598674Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.13613"},"observation_digest":"sha256:8bb3b4973adf290ee98d419982a63ed47ce5010b46ca8b4cab2bd7b3c45a2f48","observation_id":"18c6d050-131b-4dd0-8d4b-758d926fa0ae","resolution":{"observed_at":"2026-05-10T13:00:24.742006Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.14213","last_updated":"2026-04-07T20:00:06Z","snapshot_observed_at":"2026-08-15T09:22:29.118581Z","submitted_at":"2026-04-07T20:00:06Z","title":"On Computational CUDA Studies of Black Hole Shadows","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-10T17:50:25.910015Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.14213"},"observation_digest":"sha256:45b9c3aa95d9cbe9c7c38511b2a3df4f10420a266064c9749172360eb42cb58e","observation_id":"086ddeca-8597-4576-8122-c889eacdbfc3","resolution":{"observed_at":"2026-05-11T06:00:59.335352Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.14999","last_updated":"2026-05-09T20:33:29Z","snapshot_observed_at":"2026-08-11T13:26:27.120637Z","submitted_at":"2026-04-16T13:25:15Z","title":"A First-Order Eikonal Framework for Quasinormal Modes, Shadows, Strong Lensing, and Grey-Body Factors in a Scalarized Black-Hole Metric","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-10T10:46:09.790506Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.14999"},"observation_digest":"sha256:d8cdf0734ab181a1e6d30fe9e68d0c5db9bd6c841c4a611d87f1dedab8e03ce7","observation_id":"7c3d8bc8-7413-4934-90b0-c4643626300e","resolution":{"observed_at":"2026-05-10T10:49:56.839484Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.14999","last_updated":"2026-05-09T20:33:29Z","snapshot_observed_at":"2026-08-11T13:26:27.120637Z","submitted_at":"2026-04-16T13:25:15Z","title":"A First-Order Eikonal Framework for Quasinormal Modes, Shadows, Strong Lensing, and Grey-Body Factors in a Scalarized Black-Hole Metric","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-12T01:50:35.608231Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.14999"},"observation_digest":"sha256:f0a456ca0e60b946b7d9952b3fd1e98679f7fd3f485d4be28330d20b1c169975","observation_id":"2b605910-ef8a-45fa-8bbb-17e19f73d7cb","resolution":{"observed_at":"2026-05-12T01:51:14.690830Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.16545","last_updated":"2026-06-16T13:32:43Z","snapshot_observed_at":"2026-08-13T18:14:19.734748Z","submitted_at":"2026-04-17T06:08:58Z","title":"Energy conditions in static, spherically symmetric spacetimes and effective geometries","version":2},"reference_index":104,"source":"pdf_text","source_observed_at":"2026-05-10T08:32:36.790212Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.16545"},"observation_digest":"sha256:8518e207ce8957b84f8ae0240b82629e100fa5dfecdf82abe7604f83d5da2e88","observation_id":"fad7c716-287d-4444-9bb9-5962b58b318b","resolution":{"observed_at":"2026-05-10T08:32:51.838669Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.20499","last_updated":"2026-07-13T14:42:26Z","snapshot_observed_at":"2026-08-18T00:19:02.495251Z","submitted_at":"2026-04-22T12:41:34Z","title":"Reshaping the inner shadow of a Kerr black hole by a torn accretion disk","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-09T23:55:34.813729Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.20499"},"observation_digest":"sha256:0fa3a21039dc92b833fc5f7fe0cf01be2464e026a8654f8b1998a85e0cab99df","observation_id":"cbd1324a-b351-466f-a636-f81104d4bde5","resolution":{"observed_at":"2026-05-11T13:51:05.659472Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.22181","last_updated":"2026-06-17T08:41:56Z","snapshot_observed_at":"2026-08-16T15:26:06.270984Z","submitted_at":"2026-04-24T03:14:59Z","title":"Shadow dependent phenomenology framework for rotating black hole metric","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-08T10:57:44.472226Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.22181"},"observation_digest":"sha256:f7145b6643fa227a6aabd3d6cf3fe7c26fa5c1bb75ab25d18e57e6ec1c1b95c9","observation_id":"8890d6fa-7517-46f4-9dda-5193c5fc9d83","resolution":{"observed_at":"2026-05-11T19:51:09.318255Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.22181","last_updated":"2026-06-17T08:41:56Z","snapshot_observed_at":"2026-08-16T15:26:06.270984Z","submitted_at":"2026-04-24T03:14:59Z","title":"Shadow dependent phenomenology framework for rotating black hole metric","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-04T19:48:04.871864Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.22181"},"observation_digest":"sha256:37b09c8aa6fee87efd7beff492fda38720f2d96cb9d3a1866c7c50fef1d900b6","observation_id":"3246ebea-be49-45c1-a58a-e26c747be971","resolution":{"observed_at":"2026-07-04T19:50:09.869113Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2604.25961","last_updated":"2026-04-27T20:40:15Z","snapshot_observed_at":"2026-08-14T17:23:48.976654Z","submitted_at":"2026-04-27T20:40:15Z","title":"Strong-field signatures of a regular black hole in an Einasto dark matter halo","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-08T01:51:23.065312Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2604.25961"},"observation_digest":"sha256:9e17122ab212f841d205734f4825c196dcf919dc9e83abe9f4642b0caf3e0a05","observation_id":"c3da2df2-04bd-48e6-92a2-ca52abf4bee8","resolution":{"observed_at":"2026-05-11T23:01:22.345162Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.01426","last_updated":"2026-05-02T12:54:12Z","snapshot_observed_at":"2026-08-15T16:27:56.422106Z","submitted_at":"2026-05-02T12:54:12Z","title":"A note on methods for computing the critical curve of Kerr-like black holes","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-09T18:26:51.561574Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.01426"},"observation_digest":"sha256:f952cb7fbdeb809fdfdfee5bc1e74c42282a74f925c2424313ddf6b4d684ea16","observation_id":"5b57c926-1a6d-4197-ba64-ffa54452e909","resolution":{"observed_at":"2026-05-11T16:16:06.721091Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.01934","last_updated":"2026-05-03T15:31:44Z","snapshot_observed_at":"2026-08-11T03:45:41.026329Z","submitted_at":"2026-05-03T15:31:44Z","title":"Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-09T16:33:19.023106Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.01934"},"observation_digest":"sha256:1cf983c80a905aef42595261d12686295e786e629ae4436a7cdb827da8590230","observation_id":"29676d57-9c8a-4b47-94fc-3e5485c2d0a2","resolution":{"observed_at":"2026-05-11T16:31:06.945932Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.16177","last_updated":"2026-07-31T17:43:08Z","snapshot_observed_at":"2026-08-17T01:40:21.007604Z","submitted_at":"2026-05-15T16:57:51Z","title":"Observational signatures of negative mass wormholes through their shadows","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-20T17:01:21.317822Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.16177"},"observation_digest":"sha256:f3d4587b5491e1bc484bcd9bd6820f73d44955a2dd86998ec9786cf8ca7a9bd6","observation_id":"0f13c074-5b77-41d8-a5af-6056e7c91e0e","resolution":{"observed_at":"2026-05-20T17:03:37.347556Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-03T02:30:16.094771Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2605.16177","last_updated":"2026-07-31T17:43:08Z","snapshot_observed_at":"2026-08-17T01:40:21.007604Z","submitted_at":"2026-05-15T16:57:51Z","title":"Observational signatures of negative mass wormholes through their shadows","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T02:30:16.094771Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.16177"},"observation_digest":"sha256:48ba83dc528cfce22d870a29d30b8e96fe792154cc7fa839d8d56a05b543e3ad","observation_id":"b3c8ef43-5b4a-4330-b2ac-e1aeefc28ecd","resolution":{"observed_at":"2026-08-03T02:30:16.094771Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.22210","last_updated":"2026-05-21T09:15:49Z","snapshot_observed_at":"2026-08-17T11:15:24.363247Z","submitted_at":"2026-05-21T09:15:49Z","title":"Constraints on Schwarzschild Black Hole in a Generalized Dehnen-Type $(1,4,\\gamma)$ Dark Matter Halo via the S2 Star Orbit around Sgr A$^\\star$","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-22T05:41:31.066742Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.22210"},"observation_digest":"sha256:98a4c9504ea698d9b872350398f571117ca1fd65bca9f7c10608ffb24783045a","observation_id":"28b37c43-ec78-4c08-996f-e9a539808bfa","resolution":{"observed_at":"2026-05-22T05:44:39.016524Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.22862","last_updated":"2026-05-19T18:39:03Z","snapshot_observed_at":"2026-08-19T09:30:16.110670Z","submitted_at":"2026-05-19T18:39:03Z","title":"Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-05-25T05:55:52.178306Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.22862"},"observation_digest":"sha256:3c2f8a883a60aa22f1c36be9766a789b5a98a23eaeb51d0cae72675ac7021a86","observation_id":"fe6e2952-6c02-40e6-ab15-43a5ba8191e3","resolution":{"observed_at":"2026-05-25T05:56:40.165390Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.26124","last_updated":"2026-05-14T10:47:16Z","snapshot_observed_at":"2026-08-15T16:19:15.234080Z","submitted_at":"2026-05-14T10:47:16Z","title":"Astrophysical environment around a black hole in the braneworld and its optical signatures","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-30T20:48:31.377272Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.26124"},"observation_digest":"sha256:d4f48d4e7c8d7e86e51898f552ef1211d778d1fddb4fe97f4a7a405758631753","observation_id":"7ae7d47c-075f-4fdc-aa76-dc9bf8a91ac9","resolution":{"observed_at":"2026-06-30T20:55:04.529012Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.26131","last_updated":"2026-05-20T14:11:11Z","snapshot_observed_at":"2026-08-12T19:10:15.372907Z","submitted_at":"2026-05-20T14:11:11Z","title":"ModMax black hole surrounded by perfect-fluid dark matter in Lorentz-violating Kalb-Ramond gravity","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-30T17:24:06.768214Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.26131"},"observation_digest":"sha256:1436a46e98e9b9ff9e2b086880ff29375093eca847c436c38c92b62b7fefcbed","observation_id":"b8ff3572-1625-40e1-a1f7-181a034bbfe4","resolution":{"observed_at":"2026-06-30T17:24:56.937510Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.27862","last_updated":"2026-05-27T02:24:13Z","snapshot_observed_at":"2026-08-13T05:50:13.968449Z","submitted_at":"2026-05-27T02:24:13Z","title":"Shadow, acoustic redshift, and transfer observables of Lorentz-violating rotating acoustic black holes","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-29T11:26:45.566515Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.27862"},"observation_digest":"sha256:4c7b20d5735f49599d479f795819dca308c3357ff48b57bdc5aafb240fd95db4","observation_id":"a6a047fa-4ec3-472d-95e7-7c4fd4d3850a","resolution":{"observed_at":"2026-06-29T12:53:27.268410Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2605.31331","last_updated":"2026-08-06T14:59:53Z","snapshot_observed_at":"2026-08-14T22:45:56.687526Z","submitted_at":"2026-05-29T14:07:50Z","title":"Higher-Derivative Corrections to Reissner--Nordstr\\\"om Black Holes from Worldline QFT","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-28T21:25:15.718152Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2605.31331"},"observation_digest":"sha256:6fd0660777380633a2a60c9c6277d90115be74d093349c69528432f7115cc07b","observation_id":"42977fbc-ece0-467b-9918-610de4a6a2ae","resolution":{"observed_at":"2026-07-01T20:16:11.924305Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2606.06134","last_updated":"2026-06-04T13:17:35Z","snapshot_observed_at":"2026-08-12T17:06:15.799809Z","submitted_at":"2026-06-04T13:17:35Z","title":"Detectability of secondary images from flares near Sgr A* with mock GRAVITY data","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T00:32:57.580042Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2606.06134"},"observation_digest":"sha256:923c9029a3eff8889df962b38103466fd5ce0729cbacb4691fe33f06524c0df1","observation_id":"f06aefb3-fa8e-4148-bf6d-269d14b00314","resolution":{"observed_at":"2026-07-02T14:17:03.228530Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2606.20284","last_updated":"2026-06-18T14:28:28Z","snapshot_observed_at":"2026-08-15T07:42:25.849388Z","submitted_at":"2026-06-18T14:28:28Z","title":"Constitutive birefringence and critical curves in the rotating Garc\\'ia--D\\'iaz black hole","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-26T16:33:40.237155Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2606.20284"},"observation_digest":"sha256:c7f12dc11901d794915ff7b30cf8335ab8b114bc06ef4148a048f197cb47d96f","observation_id":"c4e0aba3-6176-4436-a245-54790a5d5b31","resolution":{"observed_at":"2026-07-04T04:59:36.010982Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2606.30794","last_updated":"2026-06-29T18:20:57Z","snapshot_observed_at":"2026-07-07T00:04:34.491408Z","submitted_at":"2026-06-29T18:20:57Z","title":"On Black Holes Surrounded by Radiation: I. Classical Considerations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-07-01T01:44:16.091536Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2606.30794"},"observation_digest":"sha256:a1ee63a4a88450a2afa071c839410b079a289100e80933fdd39e40c2012be119","observation_id":"1f76cac0-6fe5-4e6a-ba16-7e9e066423e7","resolution":{"observed_at":"2026-07-01T12:45:44.774396Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2607.07487","last_updated":"2026-07-12T18:10:42Z","snapshot_observed_at":"2026-08-15T14:55:22.437057Z","submitted_at":"2026-07-08T14:48:08Z","title":"Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-09T09:30:07.029696Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.07487"},"observation_digest":"sha256:603336aae8547fa05dc698bc88f4133eb1b2f462d05924a20a6e1da44cd555a5","observation_id":"6ee4622b-9b2a-4761-a383-8ae642606c7f","resolution":{"observed_at":"2026-07-09T09:36:09.170852Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-14T15:43:51.758289Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.07487","last_updated":"2026-07-12T18:10:42Z","snapshot_observed_at":"2026-08-15T14:55:22.437057Z","submitted_at":"2026-07-08T14:48:08Z","title":"Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-07-14T15:43:51.758289Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.07487"},"observation_digest":"sha256:ec83c830ff2ffe0f3be74d3ccb9444739a0cf7b268cd3597d9e34fb61c80e8f3","observation_id":"06f770bc-03af-44e5-8002-6aa469538a97","resolution":{"observed_at":"2026-07-14T15:43:51.758289Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2607.07752","last_updated":"2026-07-08T12:00:05Z","snapshot_observed_at":"2026-08-14T06:55:34.861794Z","submitted_at":"2026-07-08T12:00:05Z","title":"Observational Limits on Einasto Dark Matter Parameters from Event Horizon Telescope Images of Sgr A$^{*}$ and M87$^{*}$","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-07-11T11:50:26.030339Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.07752"},"observation_digest":"sha256:4968ff7000c4f2563249f1214378487f8213be06f643e1f41a770df605cb49fc","observation_id":"cd4ec2d3-e87e-4d1c-bebd-3f058ebba55a","resolution":{"observed_at":"2026-07-10T19:37:33.786676Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":"2105.07101","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-10T19:37:33.785505Z","title":"Perlick,Calculating black hole shadows: Review of analytical studies,Phys","venue":"gr-qc","work_id":"d5f5b0a8-ffef-46b9-9bac-8b4957cde052","year":2021},"citing_paper":{"arxiv_id":"2607.07955","last_updated":"2026-07-08T22:22:08Z","snapshot_observed_at":"2026-08-16T03:05:03.842686Z","submitted_at":"2026-07-08T22:22:08Z","title":"Wave and particle probes of a regular T-duality-inspired black hole with gravitational self-energy","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-10T14:46:36.212660Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.07955"},"observation_digest":"sha256:a20da712f3b8238c21b580f686432830c1b9f7483a673ad5f7475cb4a389f74e","observation_id":"a028877a-2553-4a66-b902-e820fa1cc375","resolution":{"observed_at":"2026-07-10T14:47:14.224643Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-13T06:53:29.838339Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.08792","last_updated":"2026-07-07T11:39:51Z","snapshot_observed_at":"2026-08-14T07:50:01.237213Z","submitted_at":"2026-07-07T11:39:51Z","title":"A Self-Consistent Exact Solution from Einstein Gravity: Black Hole in King $\\left(2,3,0\\right)$ Dark Matter Halos","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-07-13T06:53:29.838339Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.08792"},"observation_digest":"sha256:72aa57ca8a83038e8389d9a2a1c138e2bd645c6801aad87ac5070807b8270695","observation_id":"ad0fba9c-a4ad-4c5c-85a1-56a40de65c46","resolution":{"observed_at":"2026-07-13T06:53:29.838339Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-14T11:01:05.320963Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.10533","last_updated":"2026-07-12T02:02:48Z","snapshot_observed_at":"2026-08-15T20:48:01.296220Z","submitted_at":"2026-07-12T02:02:48Z","title":"Geodesics and shadows of the spindle-deformed Kerr black hole","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T11:01:05.320963Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.10533"},"observation_digest":"sha256:424ee14119175fec59831d3910e1e5a76605f143f099b7ed2dca483aa0ffd01d","observation_id":"abc3edbd-9453-4acd-9fd7-421470494170","resolution":{"observed_at":"2026-07-14T11:01:05.320963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-07-14T10:10:18.422736Z","title":"Perlick and O.Y","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.10658","last_updated":"2026-08-13T12:52:17Z","snapshot_observed_at":"2026-08-17T13:45:47.607236Z","submitted_at":"2026-07-12T08:49:02Z","title":"Polarization-dependent observational signatures of Weyl-coupled photons around a black hole","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-07-14T10:10:18.422736Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.10658"},"observation_digest":"sha256:ac3b48b0e2f53208171f29c4da7a4f1b5ba640a5333e05b7ff9c6a10191c072e","observation_id":"8abb5709-6878-4627-96d7-e9261e6176e3","resolution":{"observed_at":"2026-07-14T10:10:18.422736Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-02T03:10:33.741584Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.13992","last_updated":"2026-07-28T18:02:05Z","snapshot_observed_at":"2026-08-17T11:38:19.415322Z","submitted_at":"2026-07-15T16:23:13Z","title":"Dark matter environments and safeguards for spacetime inference from horizon scale interferometry","version":3},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-02T03:10:33.741584Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.13992"},"observation_digest":"sha256:ad4fa8c92c4d5c8a4e558273106cc1bf2fbf52c551f1085d842c92e987705139","observation_id":"60f34b34-b4e0-4438-8971-c028fb506075","resolution":{"observed_at":"2026-08-02T03:10:33.741584Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-02T01:09:06.539878Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.16337","last_updated":"2026-07-16T10:05:17Z","snapshot_observed_at":"2026-08-12T17:07:42.123427Z","submitted_at":"2026-07-16T10:05:17Z","title":"On Accretion and Neutrino Investigations of Thermodynamically Reconstructed Black Holes from Three-Parameter Generalized Entropy","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-02T01:09:06.539878Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.16337"},"observation_digest":"sha256:8909408f7eb1fc7852cb1afe662a60a3e9641c8925f795c73161daf2e2e09d06","observation_id":"875a7240-41b4-4a54-9c9b-12010fb8927d","resolution":{"observed_at":"2026-08-02T01:09:06.539878Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-01T17:57:53.921271Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2607.17483","last_updated":"2026-07-20T02:14:13Z","snapshot_observed_at":"2026-08-12T14:54:44.967369Z","submitted_at":"2026-07-20T02:14:13Z","title":"Shadow of the generalized Vaidya black hole","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-01T17:57:53.921271Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2607.17483"},"observation_digest":"sha256:2a78365d7e19f3d5f657a358a8b02dd13d89569430c82c19d11eb66a06998a80","observation_id":"0b934fb1-f504-4e71-9366-503ba2855c09","resolution":{"observed_at":"2026-08-01T17:57:53.921271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-05T00:54:07.933441Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.00519","last_updated":"2026-08-01T08:30:50Z","snapshot_observed_at":"2026-08-17T07:54:11.289983Z","submitted_at":"2026-08-01T08:30:50Z","title":"Convexity criterion and radial-profile response for off-shell Kerr geometries: a fuzzy-dark-matter profile as an analytic benchmark","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-05T00:54:07.933441Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2608.00519"},"observation_digest":"sha256:e2d2d569408ee632534001c68e63d9388c96b7533e7d443ec456890ceb9d5a46","observation_id":"9254d8b2-1330-49ba-b65a-53b2906e0c51","resolution":{"observed_at":"2026-08-05T00:54:07.933441Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-08T16:43:59.801139Z","title":"Rept.9471–39 (PreprintarXiv:2105.07101)","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.05270","last_updated":"2026-08-05T18:00:00Z","snapshot_observed_at":"2026-08-15T05:32:53.928816Z","submitted_at":"2026-08-05T18:00:00Z","title":"The glow of eternal black holes","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-08T16:43:59.801139Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2608.05270"},"observation_digest":"sha256:a5225ed63ac96ac3ea0db8f595ba1f1305b39958f82d6b6a069232638b4c2038","observation_id":"d91316e4-cf35-4062-bf2a-a4140ccf8e47","resolution":{"observed_at":"2026-08-08T16:43:59.801139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-12T15:27:03.950219Z","title":"Perlick and O","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.10871","last_updated":"2026-08-11T12:46:31Z","snapshot_observed_at":"2026-08-16T06:33:20.236162Z","submitted_at":"2026-08-11T12:46:31Z","title":"Gravitational Faraday rotation, gravitational spin Hall effect, and spin-refined causality analysis from Magnusian matrix in effective field theories of gravity","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-12T15:27:03.950219Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2608.10871"},"observation_digest":"sha256:68d2ce20508ab96139dd3fdaf108c310eb8d65d1b44ca79241dd527e16ae2a0d","observation_id":"13d34a37-5371-450b-b20c-bbe3b8b49bab","resolution":{"observed_at":"2026-08-12T15:27:03.950219Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.07101","snapshot_observed_at":"2026-08-16T00:24:15.714147Z","title":"Calculating black hole shadows: Review of analytical studies,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2608.12541","last_updated":"2026-08-12T19:26:41Z","snapshot_observed_at":"2026-08-18T15:52:03.005498Z","submitted_at":"2026-08-12T19:26:41Z","title":"Two-scale magnetically charged regular black holes from nonlinear electrodynamics and a T-duality-inspired zero-point length","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-16T00:24:15.714147Z"},"links":{"cited_paper":"/paper/2105.07101","citing_paper":"/paper/2608.12541"},"observation_digest":"sha256:f8cc079b2b7818b8f060572ce97fba7ac8cde3ab84fd8ab610d5d4c27f49cae3","observation_id":"ea3e5ff7-068b-45eb-a190-0e1dbaa93704","resolution":{"observed_at":"2026-08-16T00:24:15.714147Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2105.07101/citation-record","integrity":"/paper/2105.07101/integrity","json":"/paper/2105.07101/citation-record.json","paper":"/paper/2105.07101"},"outbound":[],"paper":{"arxiv_id":"2105.07101","last_updated":"2022-01-25T21:06:30Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-18T12:59:00.427745Z","submitted_at":"2021-05-15T00:00:17Z","title":"Calculating black hole shadows: Review of analytical studies"},"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":"2026-08-19T06:32:44.657259+00:00","source":"crossref"},{"observed_at":"2026-08-19T06:32:39.956319+00:00","source":"retraction_watch"}],"thesis":"As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 75 inbound Pith citation observations for arXiv:2105.07101."}