{"as_of":"2026-08-12T06:55:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:35f75342e926a60f4b0d63b067548c6a6dcc937d8ed9afe65f19b185540682d8","coverage":[{"denominator":88,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":88,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T23:55:10.509274Z","state":"measured"},{"denominator":89,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":89,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T11:01:05.320963Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.25094","snapshot_observed_at":"2026-07-14T11:01:05.320963Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.10533","last_updated":"2026-07-12T02:02:48Z","snapshot_observed_at":"2026-08-08T11:29:56.340921Z","submitted_at":"2026-07-12T02:02:48Z","title":"Geodesics and shadows of the spindle-deformed Kerr black hole","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-07-14T11:01:05.320963Z"},"links":{"cited_paper":"/paper/2605.25094","citing_paper":"/paper/2607.10533"},"observation_digest":"sha256:08aa2107f5fa05d647944d7b86498c8749edf417b3ce2a3c67f712e4491beb22","observation_id":"3c96e227-6d08-44d8-b31d-e94fd20ea539","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"}}],"links":{"evidence":"/evidence","html":"/paper/2605.25094/citation-record","integrity":"/paper/2605.25094/integrity","json":"/paper/2605.25094/citation-record.json","paper":"/paper/2605.25094"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:36075395b9fbc0879d0fb54e6dd35ad2931039f9a8b8a3cf662d9b8801f0b846","observation_id":"3582b5c5-9145-4754-b1c3-cd408d1da114","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Chaos in Dynamical Systems,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:87546efe0144957875a6fefd087592d3726134f37ceac4b7d07c6ca6b867871e","observation_id":"71277392-8d3f-4c36-a103-9264a83c5fce","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Chaotic dynamics of nonlinear systems,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:2d10d1693faaa86e702eac0297174530a0386edaa088886c63f3c7a0602f7de8","observation_id":"689023e1-0b4f-42a1-867c-655bea9fd825","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Global structure of the Kerr family of gravitational fields,","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:d8271c968b7b2f13a8ae11eb1a0f8a15b5ee8bf09b4a52c97fd1a1f80be5bca8","observation_id":"7e2a4838-a371-4277-b19f-3747246649ad","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Chaos around a black hole,","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:0be448c941c0c509a3fe22b53ca0438e559b5804c7b05a7e4dcad9d27867e5cf","observation_id":"4937ca20-74ab-4daa-8f33-dd4d022c73bd","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9706025","last_updated":"1997-06-10T14:22:18Z","snapshot_observed_at":"2026-07-07T03:27:40.597385Z","submitted_at":"1997-06-10T14:22:18Z","title":"Chaos in black holes surrounded by gravitational waves","version":1},"cited_work":{"arxiv_id":"gr-qc/9706025","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9706025","snapshot_observed_at":"2026-06-30T00:04:06.524852Z","title":"Chaos in black holes surrounded by gravitational waves","venue":"gr-qc","work_id":"c66c0b37-2887-434a-9bff-47b7cc058845","year":1997},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9706025","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:9fe9378f8442b33388ab177e25bffc3e0888ae081e5754a69491a13e5c2b334f","observation_id":"26560a83-ff75-49a0-8845-057b8fce06fc","resolution":{"observed_at":"2026-06-30T00:04:06.526146Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"nlin/0110046","last_updated":"2001-12-01T20:48:39Z","snapshot_observed_at":"2026-07-07T06:19:15.102966Z","submitted_at":"2001-10-25T22:52:40Z","title":"Chaos in Black holes Surrounded by Electromagnetic Fields","version":2},"cited_work":{"arxiv_id":"nlin/0110046","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"nlin/0110046","snapshot_observed_at":"2026-06-30T00:04:06.521238Z","title":"Chaos in black holes sur- rounded by electromagnetic fields,","venue":null,"work_id":"d4566db4-7ab8-4058-ae3f-c341fe21b2cf","year":2002},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/nlin/0110046","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e74fff03cc7d5921bc3affcf04fe2a27c4723228a620233a95dd04a88616bcca","observation_id":"0908ab82-72e5-46b5-888d-cf0bd0a0ec31","resolution":{"observed_at":"2026-06-30T00:04:06.522815Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1610.06070","last_updated":"2016-11-01T01:18:58Z","snapshot_observed_at":"2026-08-05T03:51:37.602390Z","submitted_at":"2016-10-19T15:44:35Z","title":"Universality in Chaos of Particle Motion near Black Hole Horizon","version":2},"cited_work":{"arxiv_id":"1610.06070","doi":null,"metadata_source":"pith","pith_arxiv_id":"1610.06070","snapshot_observed_at":"2026-07-03T08:47:49.857131Z","title":"Universality in Chaos of Particle Motion near Black Hole Horizon","venue":"hep-th","work_id":"94ad593e-602c-4114-964c-9039fb360d47","year":2016},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1610.06070","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:f2ad9800fd937dbafefb6b4ccea9f5cb9525115ef5c2eb51f97c493058676629","observation_id":"af40f1f7-19d1-4b42-af8f-3a7d42fcf49c","resolution":{"observed_at":"2026-06-30T00:04:06.533611Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.06527","last_updated":"2018-11-28T05:12:50Z","snapshot_observed_at":"2026-07-06T06:28:49.951458Z","submitted_at":"2018-03-17T16:00:29Z","title":"Presence of horizon makes particle motion chaotic","version":2},"cited_work":{"arxiv_id":"1803.06527","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.06527","snapshot_observed_at":"2026-07-03T08:47:49.891838Z","title":"Presence of horizon makes particle motion chaotic","venue":"gr-qc","work_id":"17a4cd85-f523-4472-b130-335020a93a74","year":2018},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1803.06527","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:fd39e9a58256eca26d6463e005a05a689da152951482a82f11df2a1350749b50","observation_id":"5e9bed85-c464-424a-8b08-01758bb7b38a","resolution":{"observed_at":"2026-06-30T00:04:06.604579Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2602.04423","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:04:06.605838Z","title":"Chaotic dynamics in extremal black holes: A challenge to the chaos bound,","venue":null,"work_id":"06dcbb65-a2a0-4e49-8e98-a7710fb498fb","year":2026},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:87d4e4dd83ac901120f7bca2b26735b13102679c8c4073a5ff0ca74ccde1e463","observation_id":"d5cd6e4f-f2cb-4185-90c8-4ef9c178f14d","resolution":{"observed_at":"2026-06-30T00:04:06.607510Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Chaotic motion of test particles in the Ernst space-time,","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:78c0e906b311958b43a13e273c0a20bdf23709e5cf22f225eb87de153c19c50a","observation_id":"4d117ca2-f974-4765-9274-09ed4e08b09f","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9402027","last_updated":"1994-02-14T21:13:33Z","snapshot_observed_at":"2026-07-07T03:24:31.295758Z","submitted_at":"1994-02-14T21:13:33Z","title":"Fractal basins and chaotic trajectories in multi-black hole space-times","version":1},"cited_work":{"arxiv_id":"gr-qc/9402027","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9402027","snapshot_observed_at":"2026-06-30T00:04:06.560407Z","title":"Fractal basins and chaotic trajectories in multi-black hole space-times","venue":"gr-qc","work_id":"295b4978-cd80-4a16-b192-52327adeb800","year":1994},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9402027","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:a6d6209155968a45f2c21ca35c1e329602e21491b9c389f1eb297c27b5f46526","observation_id":"6ceb01d9-790c-407c-bd76-46875a7c3f31","resolution":{"observed_at":"2026-06-30T00:04:06.563105Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9505036","last_updated":"1996-02-27T23:12:31Z","snapshot_observed_at":"2026-07-07T03:25:25.565043Z","submitted_at":"1995-05-20T05:55:20Z","title":"Chaos in Static Axisymmetric Spacetimes I : Vacuum Case","version":3},"cited_work":{"arxiv_id":"gr-qc/9505036","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9505036","snapshot_observed_at":"2026-06-30T00:04:06.527417Z","title":"Chaos in Static Axisymmetric Spacetimes I : Vacuum Case","venue":"gr-qc","work_id":"78cd9320-296b-4a3e-b7a6-e6926ade7f4d","year":1995},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9505036","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:5f8286b37dd63f1e78b5f8a49dece540996cdaa04148f3f21f2979268fb4911c","observation_id":"83f09083-0a42-429b-91d5-91010c7a39df","resolution":{"observed_at":"2026-06-30T00:04:06.528784Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9604037","last_updated":"1996-04-18T02:49:28Z","snapshot_observed_at":"2026-07-07T03:26:13.912996Z","submitted_at":"1996-04-18T02:49:28Z","title":"Chaos around a H\\'enon-Heiles-inspired exact perturbation of a black hole","version":1},"cited_work":{"arxiv_id":"gr-qc/9604037","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9604037","snapshot_observed_at":"2026-06-30T00:04:06.567061Z","title":"Chaos around a H\\'enon-Heiles-inspired exact perturbation of a black hole","venue":"gr-qc","work_id":"fac77169-9c8d-4cd0-b8bc-aa373627a6be","year":1996},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9604037","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:251a74c1edc60b258856f96680b983d488410893b05cfb9bfd50850f6735084e","observation_id":"8606be0b-e5a2-4b01-b56f-c9964c3f5348","resolution":{"observed_at":"2026-06-30T00:04:06.568295Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9604032","last_updated":"1996-05-09T10:21:05Z","snapshot_observed_at":"2026-08-02T22:43:50.897519Z","submitted_at":"1996-04-16T13:37:51Z","title":"Chaotic scattering around black holes","version":2},"cited_work":{"arxiv_id":"gr-qc/9604032","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9604032","snapshot_observed_at":"2026-06-30T00:04:06.582377Z","title":"Chaotic scattering around black holes","venue":"gr-qc","work_id":"8c7fe821-2efe-421d-8cfb-fe36b642aab5","year":1996},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9604032","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:3c8cd68292047cd7b4a9e2c637d0b37b33d5d51b8247b33868a4da63e4d9656c","observation_id":"253d88e2-953c-428c-a110-a959d4e76c09","resolution":{"observed_at":"2026-06-30T00:04:06.583515Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Geodesic chaos around quadrupo- lar deformed centers of attraction,","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:888368fb53ef7c1bd19bc516f46978a746c7319e1b04df2a35f37d95ac69f2c8","observation_id":"33b023d3-f9b5-43dd-ab3b-977166c96bb5","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"qc/0701065","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:04:06.584752Z","title":"Chaotic dynamics around astrophysical objects with non- isotropic stresses,","venue":null,"work_id":"d0f583c6-58d8-4a07-9213-29151c696089","year":2007},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:b3317058bc9da2032780987065c7361ddd63cc5fddaf1baee9ebd6e12b90bb28","observation_id":"7fa1fce3-4eb5-4d04-a8fd-5f9b6ec2e8a4","resolution":{"observed_at":"2026-06-30T00:04:06.586264Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1211.4106","last_updated":"2012-11-17T10:03:48Z","snapshot_observed_at":"2026-07-06T03:00:05.507000Z","submitted_at":"2012-11-17T10:03:48Z","title":"Free motion around black holes with discs or rings: between integrability and chaos - I","version":1},"cited_work":{"arxiv_id":"1211.4106","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.4106","snapshot_observed_at":"2026-07-03T08:47:49.929153Z","title":"Free motion around black holes with discs or rings: between integrability and chaos - I","venue":"gr-qc","work_id":"6c3fafa7-9f3e-4f53-b0b1-75853cba5376","year":2012},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1211.4106","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:d0551f0e52f4a8580cef9721a1c7095aedc051818f247d9c3c1c43563074d65e","observation_id":"dcaf1559-fa52-4434-84bc-b8fbdea7320d","resolution":{"observed_at":"2026-06-30T00:04:06.588925Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1108.5057","last_updated":"2011-08-25T11:03:10Z","snapshot_observed_at":"2026-07-06T02:32:56.509339Z","submitted_at":"2011-08-25T11:03:10Z","title":"Orbits in a non-Kerr Dynamical System","version":1},"cited_work":{"arxiv_id":"1108.5057","doi":null,"metadata_source":"pith","pith_arxiv_id":"1108.5057","snapshot_observed_at":"2026-06-30T00:04:06.592634Z","title":"Orbits in a non-Kerr Dynamical System","venue":"gr-qc","work_id":"2f8a2917-f70f-4ce5-a9ac-22df46a30948","year":2011},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1108.5057","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:5e6204e349b524477a08f3676fa32f5511b028af4905ac5e04351b8681266057","observation_id":"f45977d5-3003-46a6-a20b-9a78ca6f51fe","resolution":{"observed_at":"2026-06-30T00:04:06.593953Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1211.4107","last_updated":"2012-11-17T10:05:06Z","snapshot_observed_at":"2026-07-06T03:00:05.507000Z","submitted_at":"2012-11-17T10:05:06Z","title":"Free motion around black holes with discs or rings: between integrability and chaos - II","version":1},"cited_work":{"arxiv_id":"1211.4107","doi":null,"metadata_source":"pith","pith_arxiv_id":"1211.4107","snapshot_observed_at":"2026-07-03T08:47:49.911419Z","title":"Free motion around black holes with discs or rings: between integrability and chaos - II","venue":"gr-qc","work_id":"07fd1884-f452-425c-ad6e-ec9bd841329f","year":2012},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1211.4107","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:9bfb200733e817e43085f188e43615765ee5a8bd7b1f4b3442daf0ab7aac869f","observation_id":"59586126-18ff-4d98-83f6-5cf6140fc4f0","resolution":{"observed_at":"2026-06-30T00:04:06.581138Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1308.4306","last_updated":"2013-08-20T13:31:55Z","snapshot_observed_at":"2026-07-06T03:21:00.544212Z","submitted_at":"2013-08-20T13:31:55Z","title":"Free motion around black holes with discs or rings: between integrability and chaos - III","version":1},"cited_work":{"arxiv_id":"1308.4306","doi":null,"metadata_source":"pith","pith_arxiv_id":"1308.4306","snapshot_observed_at":"2026-06-30T00:04:06.595343Z","title":"Free motion around black holes with discs or rings: between integrability and chaos - III","venue":"gr-qc","work_id":"c727b00f-750c-4354-ba9e-07ae125446ca","year":2013},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1308.4306","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:0571a0552b5b33054dbafa7d20e972d4df334b643735b2a2a16973a066e1e0d9","observation_id":"3c244657-b454-4f90-a53b-c252693675f6","resolution":{"observed_at":"2026-06-30T00:04:06.596663Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1408.4697","last_updated":"2014-08-20T15:35:52Z","snapshot_observed_at":"2026-08-03T21:24:45.465169Z","submitted_at":"2014-08-20T15:35:52Z","title":"Non-Linear Effects in Non-Kerr spacetimes","version":1},"cited_work":{"arxiv_id":"1408.4697","doi":null,"metadata_source":"pith","pith_arxiv_id":"1408.4697","snapshot_observed_at":"2026-06-30T00:04:06.590163Z","title":"Non-Linear Effects in Non-Kerr spacetimes","venue":"gr-qc","work_id":"c8fc06a9-9358-4cd9-bcb7-04ca5e94170a","year":2014},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1408.4697","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:70def7a41a171e01bc3b422df0608e40c9a41aaba65a8b229cada72a17c7084c","observation_id":"27783f06-a252-4e67-af84-938787990488","resolution":{"observed_at":"2026-06-30T00:04:06.591386Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.09077","last_updated":"2015-03-31T15:10:35Z","snapshot_observed_at":"2026-07-06T04:13:40.818302Z","submitted_at":"2015-03-31T15:10:35Z","title":"Free motion around black holes with discs or rings: between integrability and chaos -- IV","version":1},"cited_work":{"arxiv_id":"1503.09077","doi":null,"metadata_source":"pith","pith_arxiv_id":"1503.09077","snapshot_observed_at":"2026-06-30T00:04:06.656781Z","title":"Free motion around black holes with discs or rings: between integrability and chaos -- IV","venue":"astro-ph.HE","work_id":"68e479bd-80b0-4d86-88dd-cf5c0224338f","year":2015},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1503.09077","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:a91e6c50302694b2b5fbe7379c697375b483d0c471bb848976715b3e32b199f8","observation_id":"1b2db275-0fe2-49a4-952f-8aeeeb4186fa","resolution":{"observed_at":"2026-06-30T00:04:06.658241Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1604.02785","last_updated":"2016-08-12T00:45:52Z","snapshot_observed_at":"2026-08-12T05:41:23.051490Z","submitted_at":"2016-04-11T03:57:28Z","title":"Chaotic motion of particles in the accelerating and rotating black holes spacetime","version":2},"cited_work":{"arxiv_id":"1604.02785","doi":null,"metadata_source":"pith","pith_arxiv_id":"1604.02785","snapshot_observed_at":"2026-06-30T00:04:06.569518Z","title":"Chaotic motion of particles in the accelerating and rotating black holes spacetime","venue":"gr-qc","work_id":"8130fbca-8a97-4b87-a1ca-a9dee6c00b95","year":2016},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1604.02785","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:59a58c9e53ccff4ec4c1924e534f5ca5b68208785e6a31a44b04c5c675368f51","observation_id":"27e050c9-6312-4f86-99ae-8848cba3b147","resolution":{"observed_at":"2026-06-30T00:04:06.570710Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1803.02119","last_updated":"2018-03-06T11:26:16Z","snapshot_observed_at":"2026-08-07T00:12:38.790983Z","submitted_at":"2018-03-06T11:26:16Z","title":"Chaotic motion of neutral and charged particles in the magnetized Ernst-Schwarzschild spacetime","version":1},"cited_work":{"arxiv_id":"1803.02119","doi":null,"metadata_source":"pith","pith_arxiv_id":"1803.02119","snapshot_observed_at":"2026-07-04T06:59:37.288296Z","title":"Chaotic motion of neutral and charged particles in the magnetized Ernst-Schwarzschild spacetime","venue":"gr-qc","work_id":"3fa07a22-3651-4b0c-a4f8-801f75c04b8c","year":2018},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1803.02119","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e79b0153332b9d043a2eda5dc0a863c5bad9103e927b29aa67e4324f87625dcd","observation_id":"de24402a-a375-4ce6-9856-ecb4bb55fb7c","resolution":{"observed_at":"2026-06-30T00:04:06.538834Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1905.07646","last_updated":"2019-05-18T21:37:33Z","snapshot_observed_at":"2026-08-03T07:57:01.543102Z","submitted_at":"2019-05-18T21:37:33Z","title":"Free motion around black holes with discs or rings: between integrability and chaos -- V","version":1},"cited_work":{"arxiv_id":"1905.07646","doi":null,"metadata_source":"pith","pith_arxiv_id":"1905.07646","snapshot_observed_at":"2026-06-30T00:04:06.553867Z","title":"Free motion around black holes with discs or rings: between integrability and chaos -- V","venue":"astro-ph.HE","work_id":"3f164772-d244-4ac3-a844-de8d354d9701","year":2019},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1905.07646","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:f80d4caa82c14d306f28f351669e43bbbb84c15271ffd9c69219d6c56328bb9d","observation_id":"c911bab5-6342-40d6-8155-0a090ec8e196","resolution":{"observed_at":"2026-06-30T00:04:06.555200Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00330","last_updated":"2022-04-07T07:03:06Z","snapshot_observed_at":"2026-07-06T11:43:22.019207Z","submitted_at":"2021-09-01T12:25:20Z","title":"Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole","version":2},"cited_work":{"arxiv_id":"2109.00330","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2109.00330","snapshot_observed_at":"2026-06-30T00:04:06.616962Z","title":"Quantum cor- rections enhance chaos: Study of particle motion near a gen- eralized Schwarzschild black hole,","venue":null,"work_id":"f471e42e-55d2-4aa9-8e3d-62b2e8a06ce4","year":2022},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2109.00330","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:29f8f667ae6e80f969c99aa3a56a7d9f9700f8041a950f4ba64de76ee251007f","observation_id":"ffb7d5b3-e963-47d0-9d7f-73942a410e9d","resolution":{"observed_at":"2026-06-30T00:04:06.618540Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.02295","last_updated":"2021-09-06T08:54:55Z","snapshot_observed_at":"2026-07-06T11:44:36.471158Z","submitted_at":"2021-09-06T08:54:55Z","title":"Applying explicit symplectic integrator to study chaos of charged particles around magnetized Kerr black hole","version":1},"cited_work":{"arxiv_id":"2109.02295","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2109.02295","snapshot_observed_at":"2026-07-04T06:59:37.347332Z","title":"Applying explicit sym- plectic integrator to study chaos of charged particles around magnetized Kerr black hole,","venue":null,"work_id":"d7ac45c5-186d-41a8-b170-d665e2fc0d3b","year":2021},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2109.02295","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:2091f4d8f4d1cb3adbdddbf2f411579bbeb6a82cda3fa46b5f216e09ed556e3d","observation_id":"c4d16c2b-cd0f-469a-9f91-edacb376ea23","resolution":{"observed_at":"2026-06-30T00:04:06.489882Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2112.05915","last_updated":"2021-12-11T05:04:32Z","snapshot_observed_at":"2026-07-06T12:17:38.875231Z","submitted_at":"2021-12-11T05:04:32Z","title":"Charged particle motions near non-Schwarzschild black holes with external magnetic fields in modified theories of gravity","version":1},"cited_work":{"arxiv_id":"2112.05915","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2112.05915","snapshot_observed_at":"2026-06-30T00:04:06.493610Z","title":"Charged Particle Motions near Non-Schwarzschild Black Holes with External Magnetic Fields in Modified Theories of Gravity,","venue":null,"work_id":"e5bf3bb6-920f-4bc2-b121-7e07f41e7d64","year":2021},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2112.05915","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:ac46cbb6c1d88adf7d3b7c26be4e961ab5c8224c287978a1fb4684c78e0fc0f5","observation_id":"1024ade0-026b-4496-b263-10fa8a164e68","resolution":{"observed_at":"2026-06-30T00:04:06.495106Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.00524","last_updated":"2022-07-28T19:32:05Z","snapshot_observed_at":"2026-07-06T12:42:51.803380Z","submitted_at":"2022-03-01T15:08:25Z","title":"Chaos in Quadratic Gravity","version":2},"cited_work":{"arxiv_id":"2203.00524","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2203.00524","snapshot_observed_at":"2026-06-30T00:04:06.501219Z","title":"Chaos in quadratic gravity,","venue":null,"work_id":"0d157a0b-95e9-4756-a0ee-3e7b99dd69a2","year":2022},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2203.00524","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:70596a3bd812a2902021376141b068dae0ca9e7f22a47f1a41a720df29f67313","observation_id":"b13494ff-c241-4ca2-bc31-eecefcf37383","resolution":{"observed_at":"2026-06-30T00:04:06.505045Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.02702","last_updated":"2023-05-04T10:24:33Z","snapshot_observed_at":"2026-07-06T15:23:10.114682Z","submitted_at":"2023-05-04T10:24:33Z","title":"Impact of electric charges on chaos in magnetized $Reissner-Nordstr\\\"{o}m$ spacetimes","version":1},"cited_work":{"arxiv_id":"2305.02702","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2305.02702","snapshot_observed_at":"2026-06-30T00:04:06.619705Z","title":"Impact of electric charges on chaos in magnetized Reissner–Nordström spacetimes,","venue":null,"work_id":"cf0005a9-3147-4a00-a676-87a4cd5feb52","year":2023},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2305.02702","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:ce10cbdefd9a13cd4b74e54a142a7ae05f4fc780c3126c24ff3fe286e91e79fc","observation_id":"eb642c15-aeff-4d9d-a4b4-35250b7c6602","resolution":{"observed_at":"2026-06-30T00:04:06.621211Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.19225","last_updated":"2024-04-30T03:06:50Z","snapshot_observed_at":"2026-08-07T01:17:17.497037Z","submitted_at":"2024-04-30T03:06:50Z","title":"Electromagnetic field and chaotic charged-particle motion around hairy black holes in Horndeski gravity","version":1},"cited_work":{"arxiv_id":"2404.19225","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.19225","snapshot_observed_at":"2026-07-03T08:57:47.247334Z","title":"Electromagnetic field and chaotic charged-particle motion around hairy black holes in Horndeski gravity,","venue":null,"work_id":"c4f083c4-aece-47fe-a56d-9eb2a707c1eb","year":2024},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2404.19225","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:65d15e4e43058a0811cdc51a537e0e5459becf55a4c47abd8da8f94865ae6983","observation_id":"699f5e6d-a629-4023-b2ec-e7ab7b0838e6","resolution":{"observed_at":"2026-06-30T00:04:06.549732Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.03214","last_updated":"2024-10-10T17:09:13Z","snapshot_observed_at":"2026-08-12T06:20:53.369877Z","submitted_at":"2024-10-04T08:00:42Z","title":"Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes","version":2},"cited_work":{"arxiv_id":"2410.03214","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.03214","snapshot_observed_at":"2026-06-30T00:04:06.480722Z","title":"Chaotic mo- tion of particles in the spacetime of a Kerr black hole immersed in swirling universes,","venue":null,"work_id":"db6153ed-4817-418b-adaf-d16b6ea82a8e","year":2025},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2410.03214","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:6f01ccca544c8c52dab4ab6bd9ab9ccbb96b486582b1b3dbb6aee8bd53fd45a3","observation_id":"768f75dc-3659-42d3-9d49-2b8465b473cd","resolution":{"observed_at":"2026-06-30T00:04:06.482191Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.18879","last_updated":"2025-07-25T01:30:36Z","snapshot_observed_at":"2026-08-06T14:28:39.128411Z","submitted_at":"2025-07-25T01:30:36Z","title":"Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz-Strominger black holes","version":1},"cited_work":{"arxiv_id":"2507.18879","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.18879","snapshot_observed_at":"2026-06-30T00:04:06.483312Z","title":"Chaos dynamics of charged particles near Gibbons-Maeda-Garfinkle-Horowitz- Strominger black holes,","venue":null,"work_id":"ac60fe43-4f5d-40f8-94c0-024dbf3c5209","year":2025},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2507.18879","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:5404f901113729e1c92c58eced953ddd3f746ee015f9c0c93793314d11d1eb13","observation_id":"96a95d33-50f0-449c-bd11-df978e734112","resolution":{"observed_at":"2026-06-30T00:04:06.484758Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2510.08954","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:04:06.477993Z","title":"Chaos of charged particles near a renor- malized group improved Kerr black hole in an external magnetic field,","venue":null,"work_id":"db4e13a3-1509-4470-89d5-1608958fd3dd","year":2025},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:880c1d61b246468e7d948c064fa03665083d7059102407220c6ef549f61d8e92","observation_id":"b3b3bda4-9d46-4974-823a-210d3df66cef","resolution":{"observed_at":"2026-06-30T00:04:06.479444Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2511.08415","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:04:06.540922Z","title":"Chaotic mo- tion of particles around a dyonic Kerr–Newman black hole im- mersed in the Melvin-swirling universe,","venue":null,"work_id":"600768ec-645b-440c-9a48-246a8d7e40cc","year":2025},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:32109c2e7e2c6fcc3a1a7f2407bfde00ca5e7984a292560904a026491e8526be","observation_id":"e01d1a83-eaa1-43c9-93a0-56b01ffb67a1","resolution":{"observed_at":"2026-06-30T00:04:06.544935Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2603.12674","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:04:06.511062Z","title":"Lu and X","venue":null,"work_id":"fc0c6b0b-d6da-461b-897c-9d1b4258050b","year":2026},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:38d0d995af486ab52e35ec4694cf36c1b1daafcc50aefb3637299809b40eaef0","observation_id":"b07c05fd-f5ca-4e4f-9216-720e88425455","resolution":{"observed_at":"2026-06-30T00:04:06.513248Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9604020","last_updated":"1996-04-09T07:15:31Z","snapshot_observed_at":"2026-07-07T03:26:13.912996Z","submitted_at":"1996-04-09T07:15:31Z","title":"Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle","version":1},"cited_work":{"arxiv_id":"gr-qc/9604020","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9604020","snapshot_observed_at":"2026-07-03T16:58:43.147637Z","title":"Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle","venue":"gr-qc","work_id":"8a9dc204-f661-414e-9f1a-66390511f30b","year":1996},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9604020","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:a80ace6cfc368a79baf5e069654618a3dbd897636c87a4bacb93353b4514ec08","observation_id":"92d2c591-49a5-4e97-bfcf-bc82a5ce7025","resolution":{"observed_at":"2026-06-30T00:04:06.473957Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0210042","last_updated":"2003-02-12T19:38:25Z","snapshot_observed_at":"2026-07-07T03:16:30.073346Z","submitted_at":"2002-10-14T22:55:35Z","title":"Dynamics of spinning test particles in Kerr spacetime","version":8},"cited_work":{"arxiv_id":"gr-qc/0210042","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0210042","snapshot_observed_at":"2026-06-30T00:04:06.475592Z","title":"Dynamics of spinning test particles in Kerr spacetime","venue":"gr-qc","work_id":"de6bf319-48bd-4881-b720-12ae24811676","year":2002},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/0210042","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:eac9f4c0e8df8043a0cbea13d787bb546ce02c21bcb63021d6c9fc95a6794770","observation_id":"7fc4c8c3-8cb2-443d-9c0c-87cb51fece55","resolution":{"observed_at":"2026-06-30T00:04:06.476855Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"qc/0302103","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-30T00:04:06.485874Z","title":"A Survey of spinning test particle orbits in Kerr space-time,","venue":null,"work_id":"05ac76e2-dee3-4232-9ba6-5c792a444a75","year":2003},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:afd0cd74364bb8e3bdfcf007a2c2a92fa2d51048e8c09d308209526c21365af2","observation_id":"a24ced9f-dec6-42eb-8b4b-90344102157f","resolution":{"observed_at":"2026-06-30T00:04:06.487290Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0406101","last_updated":"2004-06-25T02:38:16Z","snapshot_observed_at":"2026-07-07T03:19:43.730512Z","submitted_at":"2004-06-25T02:38:16Z","title":"The Onset of Chaotic Motion of a Spinning Particle around the Schwarzchild Black Hole","version":1},"cited_work":{"arxiv_id":"gr-qc/0406101","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0406101","snapshot_observed_at":"2026-07-03T08:47:49.909023Z","title":"Kao and H","venue":"gr-qc","work_id":"37f085ef-663d-44ff-b7a3-f8b2cecd801e","year":2004},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/0406101","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:9371ae542be438740c8d3439f2ef564b6b5a093079eeaab00a80e9951dce80a3","observation_id":"cff85142-ee67-458a-b7d5-027d554f0f74","resolution":{"observed_at":"2026-06-30T00:04:06.497647Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.2229","last_updated":"2010-06-11T08:28:17Z","snapshot_observed_at":"2026-07-06T02:11:39.445182Z","submitted_at":"2010-06-11T08:28:17Z","title":"Chaos and dynamics of spinning particles in Kerr spacetime","version":1},"cited_work":{"arxiv_id":"1006.2229","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.2229","snapshot_observed_at":"2026-06-30T00:04:06.470522Z","title":"Chaos and dynamics of spinning particles in Kerr spacetime","venue":"gr-qc","work_id":"bfb58195-325a-4868-8fc0-c7d734cdcff9","year":2010},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1006.2229","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:58490d79d1a41ae3e35e6acce0f9e974ebc4c56d888baf33b7f8ee2572dc5046","observation_id":"8421be7a-51f3-422b-8109-2386ec12915a","resolution":{"observed_at":"2026-06-30T00:04:06.471638Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0912.0031","last_updated":"2010-07-10T19:07:22Z","snapshot_observed_at":"2026-07-06T02:00:35.626202Z","submitted_at":"2009-11-30T21:55:46Z","title":"Chaotic orbits for spinning particles in Schwarzschild spacetime","version":2},"cited_work":{"arxiv_id":"0912.0031","doi":null,"metadata_source":"pith","pith_arxiv_id":"0912.0031","snapshot_observed_at":"2026-06-30T00:04:06.507418Z","title":"Chaotic orbits for spinning particles in Schwarzschild spacetime","venue":"gr-qc","work_id":"7bfc6263-1d02-4c59-8c77-7da72487d92e","year":2009},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/0912.0031","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:fdc73521dc00a72af32dcc727c3847ebca687211cbcdc5f18ed8948d0c0d55ca","observation_id":"e341bc35-6808-4237-9fff-81985ef19d4c","resolution":{"observed_at":"2026-06-30T00:04:06.508976Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1606.09171","last_updated":"2016-06-29T16:07:17Z","snapshot_observed_at":"2026-08-03T07:46:55.061630Z","submitted_at":"2016-06-29T16:07:17Z","title":"The dynamics of a spinning particle in a linear in spin Hamiltonian approximation","version":1},"cited_work":{"arxiv_id":"1606.09171","doi":null,"metadata_source":"pith","pith_arxiv_id":"1606.09171","snapshot_observed_at":"2026-06-30T00:04:06.551015Z","title":"The dynamics of a spinning particle in a linear in spin Hamiltonian approximation","venue":"gr-qc","work_id":"4f91f05a-beb7-4e03-a65a-606afb7f7f3e","year":2016},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1606.09171","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e03288a6aafb13c14f0121eb7926b2963f1be22c5a638cac7c7b2616108ea1b5","observation_id":"76a0d9b1-284a-4765-914f-dc4bb42d0abd","resolution":{"observed_at":"2026-06-30T00:04:06.552451Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.00414","last_updated":"2019-11-01T14:45:27Z","snapshot_observed_at":"2026-08-09T10:07:58.796513Z","submitted_at":"2019-11-01T14:45:27Z","title":"Growth of resonances and chaos for a spinning test particle in the Schwarzschild background","version":1},"cited_work":{"arxiv_id":"1911.00414","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.00414","snapshot_observed_at":"2026-06-30T00:04:06.460093Z","title":"Zelenka, G","venue":null,"work_id":"ff72e79e-e1ea-4ac7-b6a3-c1d2088878ba","year":2020},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1911.00414","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:2851b6f7646036a25bf18697fce83c5198c4a039e645c6297f536f167b0f5312","observation_id":"3f65311b-2e5f-48c9-bf88-6566779663b4","resolution":{"observed_at":"2026-06-30T00:04:06.461525Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.20533","last_updated":"2026-04-22T13:13:35Z","snapshot_observed_at":"2026-07-06T23:07:03.254122Z","submitted_at":"2026-04-22T13:13:35Z","title":"Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures","version":1},"cited_work":{"arxiv_id":"2604.20533","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.20533","snapshot_observed_at":"2026-06-30T00:04:06.564503Z","title":"Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures","venue":"gr-qc","work_id":"43b55af0-44c4-4616-b175-812fc6a76c70","year":2026},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2604.20533","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:8baf1d0ece70fe358837349145309ca8243e4b8984d44cd65b91de44a55397a1","observation_id":"2848f62f-feb9-4523-b31b-798479262715","resolution":{"observed_at":"2026-06-30T00:04:06.565846Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.02084","last_updated":"2026-05-03T22:54:32Z","snapshot_observed_at":"2026-08-01T23:35:01.419108Z","submitted_at":"2026-05-03T22:54:32Z","title":"Spinning charged test particle dynamics around a Schwarzschild black hole embedded in a homogeneous magnetic field","version":1},"cited_work":{"arxiv_id":"2605.02084","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.02084","snapshot_observed_at":"2026-06-30T00:04:06.571981Z","title":"Spinning charged test particle dynamics around a Schwarzschild black hole embedded in a homogeneous magnetic field","venue":"gr-qc","work_id":"f39164cf-e86c-4972-9179-cba97fe53b68","year":2026},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2605.02084","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:25e229e2846a188a42d0c905612a37b00d57fe0fe3fa2fa25330cfe4410cba55","observation_id":"0559ccab-d476-4fd3-b7f6-6261ce24e0da","resolution":{"observed_at":"2026-06-30T00:04:06.573353Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9908039","last_updated":"1999-09-09T22:19:02Z","snapshot_observed_at":"2026-07-07T03:30:58.223819Z","submitted_at":"1999-08-11T21:40:02Z","title":"Chaotic Scattering and Capture of Strings by Black Hole","version":2},"cited_work":{"arxiv_id":"gr-qc/9908039","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/9908039","snapshot_observed_at":"2026-06-30T00:04:06.518420Z","title":"Chaotic Scattering and Capture of Strings by Black Hole","venue":"gr-qc","work_id":"93d6ff65-f5dd-4dda-88b6-c0cc04d040fc","year":1999},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/9908039","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:b34c4a31d67c8630d1d4cd8519613d090e746eccceaeaa885009a1dd996f1c7e","observation_id":"2d5c2d05-67ea-4d12-9a8e-e600e2d71dbe","resolution":{"observed_at":"2026-06-30T00:04:06.519900Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1007.0277","last_updated":"2010-07-01T23:45:27Z","snapshot_observed_at":"2026-07-06T02:12:23.370010Z","submitted_at":"2010-07-01T23:45:27Z","title":"Chaos in the Gauge/Gravity Correspondence","version":1},"cited_work":{"arxiv_id":"1007.0277","doi":null,"metadata_source":"pith","pith_arxiv_id":"1007.0277","snapshot_observed_at":"2026-06-30T00:04:06.514999Z","title":"Chaos in the Gauge/Gravity Correspondence","venue":"hep-th","work_id":"173c6032-7ed0-49f4-ba61-040a43c9f00b","year":2010},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1007.0277","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:6dadb1f411edbeb805fe1340dd1d676699fd9ca2049dd33dd959c1d8ac6241a8","observation_id":"fae94158-3de9-4da1-af87-939d46b711ff","resolution":{"observed_at":"2026-06-30T00:04:06.516839Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1012.5725","last_updated":"2010-12-28T09:10:40Z","snapshot_observed_at":"2026-08-02T02:37:43.688438Z","submitted_at":"2010-12-28T09:10:40Z","title":"Chaos in Geodesic Motion around a Black Ring","version":1},"cited_work":{"arxiv_id":"1012.5725","doi":null,"metadata_source":"pith","pith_arxiv_id":"1012.5725","snapshot_observed_at":"2026-06-30T00:04:06.457886Z","title":"Chaos in Geodesic Motion around a Black Ring","venue":"hep-th","work_id":"b230938e-dcfe-49b1-a328-6bdd9897dccf","year":2010},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1012.5725","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:8fabdf697701d75a26a752e9efaeafaf2c8e528480cdf46bd00b3ddad1c42e4f","observation_id":"4047918d-ca65-4d4a-a54b-83622e890c6b","resolution":{"observed_at":"2026-06-30T00:04:06.458990Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1405.3563","last_updated":"2014-05-14T16:17:32Z","snapshot_observed_at":"2026-08-11T07:31:53.679979Z","submitted_at":"2014-05-14T16:17:32Z","title":"Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space","version":1},"cited_work":{"arxiv_id":"1405.3563","doi":"10.1103/physrevd.89.086011","metadata_source":"pith","pith_arxiv_id":"1405.3563","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space","venue":"hep-th","work_id":"8847f26b-42e5-4f2a-a038-b01ec6c8a831","year":2014},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1405.3563","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:da8fef563b01581235625062ff08a112aed85eb8653da365be1f48eaff6ec05e","observation_id":"e0451d91-9dae-4fd8-811e-1e07cff1c7a9","resolution":{"observed_at":"2026-06-30T00:04:06.463986Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1911.09913","last_updated":"2020-02-27T12:28:08Z","snapshot_observed_at":"2026-07-06T08:39:12.187776Z","submitted_at":"2019-11-22T08:16:21Z","title":"Chaotic dynamics of string around charged black brane with hyperscaling violation","version":3},"cited_work":{"arxiv_id":"1911.09913","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1911.09913","snapshot_observed_at":"2026-06-30T00:04:06.465067Z","title":"Chaotic dynamics of string around charged black brane with hyperscaling violation,","venue":null,"work_id":"73932c98-9f86-4665-a1c3-b75348a88a5a","year":2020},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1911.09913","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:da47fc1e712115ae74cb6ba79d31360921fcfe1f2bade0aa36a20b3949ed5ed6","observation_id":"bce59cc1-8fd4-4492-94f3-f90a2f4188a3","resolution":{"observed_at":"2026-06-30T00:04:06.466810Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.05052","last_updated":"2020-08-17T01:26:49Z","snapshot_observed_at":"2026-07-06T09:27:12.792882Z","submitted_at":"2020-06-09T05:06:43Z","title":"Chaotic particle motion around a homogeneous circular ring","version":3},"cited_work":{"arxiv_id":"2006.05052","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2006.05052","snapshot_observed_at":"2026-06-30T00:04:06.455370Z","title":"Chaotic particle motion around a homogeneous circular ring,","venue":null,"work_id":"5a55117f-d06a-40cc-898f-40207f0b947d","year":2020},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2006.05052","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:3311c55f4a01da4c3588cea038ce8cb49b1318baf82d7c5c9e96dfcb5b35577f","observation_id":"c8561223-2512-46ca-8e3e-6249059760d2","resolution":{"observed_at":"2026-06-30T00:04:06.456792Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.00226","last_updated":"2022-04-30T10:24:44Z","snapshot_observed_at":"2026-08-10T14:58:46.814322Z","submitted_at":"2022-04-30T10:24:44Z","title":"Chaotic dynamics of string around the conformal black hole","version":1},"cited_work":{"arxiv_id":"2205.00226","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2205.00226","snapshot_observed_at":"2026-06-30T00:04:06.467913Z","title":"Chaotic dynamics of string around the conformal black hole,","venue":null,"work_id":"ba9a44f6-5724-4f42-9a02-86be4d5ddb57","year":2022},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2205.00226","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:4c050441618aa6c3fd4297a05e694406945ee69ffc26d78ad436f1a359062214","observation_id":"be58ed1e-5abe-4346-84cf-adce1f8a742f","resolution":{"observed_at":"2026-06-30T00:04:06.469442Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1605.09506","last_updated":"2017-04-08T16:16:21Z","snapshot_observed_at":"2026-07-06T04:58:09.597236Z","submitted_at":"2016-05-31T07:04:59Z","title":"Chaos in the motion of a test scalar particle coupling to Einstein tensor in Schwarzschild-Melvin black hole spacetime","version":3},"cited_work":{"arxiv_id":"1605.09506","doi":null,"metadata_source":"pith","pith_arxiv_id":"1605.09506","snapshot_observed_at":"2026-07-03T08:47:49.923965Z","title":"Chaos in the motion of a test scalar particle coupling to Einstein tensor in Schwarzschild-Melvin black hole spacetime","venue":"gr-qc","work_id":"de85d3b7-a1ec-45f1-ae13-99c20dc2d48b","year":2016},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1605.09506","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:0d203a7bf3b75310629ddaa7a53d2f0cf4293ffe507f653b6652fb5941a8d7b3","observation_id":"eb5612e4-b98c-41c7-b0fd-575908c1a6c5","resolution":{"observed_at":"2026-06-30T00:04:06.500065Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2007.14575","last_updated":"2021-03-09T02:47:19Z","snapshot_observed_at":"2026-07-06T09:42:40.864294Z","submitted_at":"2020-07-29T03:40:28Z","title":"Chaotic motion of scalar particle coupling to Chern-Simons invariant in Kerr black hole spacetime","version":2},"cited_work":{"arxiv_id":"2007.14575","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2007.14575","snapshot_observed_at":"2026-06-30T00:04:06.491010Z","title":"Chaotic motion of scalar particle coupling to Chern–Simons invariant in Kerr black hole space- time,","venue":null,"work_id":"d3d29ce1-6b9a-489f-a5e6-2ea4eb95a07a","year":2021},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2007.14575","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:c8c4e26fabde0ae20ae819043df9bb1bf1bc25a1a7f15568eebfa74d115f9d60","observation_id":"7f963218-ecca-49f9-b655-c064ec641ced","resolution":{"observed_at":"2026-06-30T00:04:06.492487Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2309.12604","last_updated":"2023-09-22T03:38:20Z","snapshot_observed_at":"2026-08-05T04:39:15.792555Z","submitted_at":"2023-09-22T03:38:20Z","title":"Chaotic motion of scalar particle coupling to Chern-Simons invariant in the stationary axisymmetric Einstein-Maxwell dilaton black hole spacetime","version":1},"cited_work":{"arxiv_id":"2309.12604","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2309.12604","snapshot_observed_at":"2026-07-04T06:59:37.479171Z","title":"Zhang, S","venue":null,"work_id":"98634619-7cb9-4a42-977f-b7adc39a1283","year":2023},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2309.12604","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e028e7a96d82a0bc60ef46fefa2525483d1d858537d042ed7231428e6e0dad59","observation_id":"6e0fecac-061e-4ba3-b3ff-43bd2c6ed75e","resolution":{"observed_at":"2026-06-30T00:04:06.559078Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1804.03960","last_updated":"2018-04-11T12:42:46Z","snapshot_observed_at":"2026-07-06T06:32:51.385652Z","submitted_at":"2018-04-11T12:42:46Z","title":"Chaos in charged AdS black hole extended phase space","version":1},"cited_work":{"arxiv_id":"1804.03960","doi":null,"metadata_source":"pith","pith_arxiv_id":"1804.03960","snapshot_observed_at":"2026-06-30T00:04:06.650622Z","title":"Chaos in charged AdS black hole extended phase space","venue":"hep-th","work_id":"0667925d-b20a-475d-8fcb-5a82be234e15","year":2018},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1804.03960","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:7273381a851a3e319e9cf17d0353a1df5d088e7100c325e681faf2c23f47f1fc","observation_id":"f2cb8209-f984-4cac-8771-52ce732f5b33","resolution":{"observed_at":"2026-06-30T00:04:06.652049Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1902.08932","last_updated":"2019-06-23T05:12:11Z","snapshot_observed_at":"2026-08-02T17:50:57.679680Z","submitted_at":"2019-02-24T11:49:55Z","title":"Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space","version":3},"cited_work":{"arxiv_id":"1902.08932","doi":null,"metadata_source":"pith","pith_arxiv_id":"1902.08932","snapshot_observed_at":"2026-06-30T00:04:06.639979Z","title":"Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space","venue":"hep-th","work_id":"81479443-1899-4c4b-ba79-b4da292ba946","year":2019},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1902.08932","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:15508e71460dac70bb902d85a187d68b57a08d70bae0e3cd1f59e0c31dc05bc0","observation_id":"80a5361c-59bb-4a8b-b089-545d9acc88f9","resolution":{"observed_at":"2026-06-30T00:04:06.641475Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.01384","last_updated":"2021-09-01T15:26:34Z","snapshot_observed_at":"2026-07-06T09:44:20.694989Z","submitted_at":"2020-08-04T07:46:49Z","title":"Chaos of Particle Motion near the Black Hole with Quasi-topological Electromagnetism","version":3},"cited_work":{"arxiv_id":"2008.01384","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2008.01384","snapshot_observed_at":"2026-07-03T08:37:46.274574Z","title":"Lei, X.-H","venue":null,"work_id":"061d4ff0-c608-4fb7-939e-75f6058a21e5","year":2021},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2008.01384","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:998298f0da477071a1ef3dd5565a540c0243d7f3d0ef26827d4bc5c3ebdacd38","observation_id":"4f7a526d-9ee5-4537-a867-64b77bc2c769","resolution":{"observed_at":"2026-06-30T00:04:06.638511Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.18193","last_updated":"2024-07-31T07:52:22Z","snapshot_observed_at":"2026-07-06T18:06:40.922189Z","submitted_at":"2024-04-28T14:18:41Z","title":"Thermodynamic Stability Versus Chaos Bound Violation in D-dimensional RN Black Holes: Angular Momentum Effects and Phase Transitions","version":2},"cited_work":{"arxiv_id":"2404.18193","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.18193","snapshot_observed_at":"2026-07-03T08:37:46.248965Z","title":"Thermodynamic stability versus chaos bound vi- olation in D-dimensional RN black holes: Angular momentum effects and phase transitions","venue":null,"work_id":"e6b72745-6304-4090-83c8-a2928f8ad6a1","year":2024},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2404.18193","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:b531151e9ed7df62a47a2a56c9107aaf79589cce023881c5eebf123d4171a74d","observation_id":"b8825b66-c8e3-41ac-841a-e1810817a93a","resolution":{"observed_at":"2026-06-30T00:04:06.645348Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1308.3147","last_updated":"2013-08-14T14:56:26Z","snapshot_observed_at":"2026-07-06T03:20:41.367126Z","submitted_at":"2013-08-14T14:56:26Z","title":"A strong magnetic field around the supermassive black hole at the centre of the Galaxy","version":1},"cited_work":{"arxiv_id":"1308.3147","doi":null,"metadata_source":"pith","pith_arxiv_id":"1308.3147","snapshot_observed_at":"2026-07-08T21:15:39.241488Z","title":"A strong magnetic field around the supermassive black hole at the centre of the Galaxy","venue":"astro-ph.GA","work_id":"55cd30b5-ae8c-4578-8dab-c99e4e62f71a","year":2013},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1308.3147","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:6e63c5de67591db534989181287f2ebb4d042eadd875633574bed4eafb8e5b71","observation_id":"ee6e158a-a4ac-475b-bf75-2d504df1f240","resolution":{"observed_at":"2026-06-30T00:04:06.648905Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1906.11238","last_updated":"2019-06-26T18:06:46Z","snapshot_observed_at":"2026-08-11T20:40:08.102550Z","submitted_at":"2019-06-26T18:06:46Z","title":"First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole","version":1},"cited_work":{"arxiv_id":"1906.11238","doi":null,"metadata_source":"pith","pith_arxiv_id":"1906.11238","snapshot_observed_at":"2026-07-10T23:07:47.128893Z","title":"First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole","venue":"astro-ph.GA","work_id":"090661bf-d0e6-4cf3-a7b6-39cd0420cf87","year":2019},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1906.11238","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:41f801cf4d4f03df0fde7f2798f48c3abcaf57b20f66895477b43a08c9b7d21d","observation_id":"6dee9270-4a09-43c3-984d-1cf8facd576e","resolution":{"observed_at":"2026-06-30T00:04:06.655124Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2105.01173","last_updated":"2021-05-05T12:39:47Z","snapshot_observed_at":"2026-08-11T01:43:56.689499Z","submitted_at":"2021-05-03T21:22:13Z","title":"First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon","version":2},"cited_work":{"arxiv_id":"2105.01173","doi":null,"metadata_source":"pith","pith_arxiv_id":"2105.01173","snapshot_observed_at":"2026-07-08T21:15:39.193060Z","title":"Akiyama et al","venue":"astro-ph.HE","work_id":"cfa0b111-14c8-4001-9ab3-52e562b247a1","year":2021},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2105.01173","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:0f9a8819053c75690f63f13ae8fe8475999b4bacc358199ac960e0a259655f69","observation_id":"de6893ec-1611-47bc-8b4a-b0d965c42849","resolution":{"observed_at":"2026-06-30T00:04:06.629352Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2311.08680","last_updated":"2023-11-16T05:03:31Z","snapshot_observed_at":"2026-08-08T08:44:26.588708Z","submitted_at":"2023-11-15T04:01:03Z","title":"First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way","version":2},"cited_work":{"arxiv_id":"2311.08680","doi":null,"metadata_source":"pith","pith_arxiv_id":"2311.08680","snapshot_observed_at":"2026-07-10T23:07:47.153536Z","title":"First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way","venue":"astro-ph.HE","work_id":"8d90cb7c-d8cf-444d-9c8f-605a7fc5f624","year":2023},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2311.08680","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:da36cdd706b8b259e0bc88d434ca3d67ac96eea47f077a2e7235858a894c9d31","observation_id":"9ba0adb1-f076-47b5-986e-6652b7cab294","resolution":{"observed_at":"2026-06-30T00:04:06.632400Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2507.05199","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T21:15:39.246226Z","title":"Podolsky and H","venue":null,"work_id":"d51c0bff-1e54-48c1-8c17-dfd0843b7abc","year":2025},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:5fd1924e87897c9ff63d95b49cac75f3170d5c4c7090ddda95c893bd50e2d463","observation_id":"c8cc4931-7697-45c0-81dc-fad36aaf79b8","resolution":{"observed_at":"2026-06-30T00:04:06.635554Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2508.12908","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-03T15:58:37.914537Z","title":"Astorino,Black holes in the external Bertotti-Robinson-Bonnor-Melvin electromagnetic field,2508.12908","venue":null,"work_id":"9ae55573-4ee3-447b-9868-304003118caf","year":2025},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:3176919c84cfdfd902d9b2b4a405a08ea00dda32bbf20add2b1b55cf7e76127c","observation_id":"c5519632-eb73-424d-9fd1-91b87b821286","resolution":{"observed_at":"2026-06-30T00:04:06.623898Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Exact solutions of Einstein’s field equations,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:91a274634d35a2d5edc99fe1c96820214ac569e4bfff3bea8d0bc725406ce99e","observation_id":"f6533e0e-b5aa-420a-ac85-3b14fd355eed","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Exact space-times in Einstein’s general relativity,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:31921cf5a3c129de77e8e7bd89d3af1b6d3b807079d871fc8be6bbd03d5376c3","observation_id":"3cacd339-b076-4aa3-8c5c-901a5aa489bc","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"New Formulation of the Axially Symmetric Gravi- tational Field Problem. II,","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:ea6918b5c33a85833ef328362c441caa7d99d47bb21ee4861eb6c129ec074ddc","observation_id":"56dff7da-2193-42dc-905b-8f7dd94d1718","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"New Solutions of the Einstein-Maxwell Equa- tions from Old,","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:2812841b0471bb9ce60b9ce57392c919e7923f38c8abf9ee80cb7f1985920d7f","observation_id":"73c4ec76-505e-4820-a8eb-13ae0146ea3f","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Konstruktionen und Charakterisierung von Losun- gen der Einsteinschen Gravitationsfeldgleichungen,","venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e1bcc2085cf751a4036e5f2a3a365c2fd89b329074174bda1c670385de570a8e","observation_id":"8796edb8-4cb2-4549-aa34-f2d437cbfeff","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2601.16254","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-04T15:19:56.884545Z","title":"Astorino,Static hairy black hole in 4D general relativity,Phys","venue":null,"work_id":"d46071b8-d41f-42d0-8123-b08207a65e62","year":2026},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e15c95679295ca232043abcc910c19e9978f8a8994277a366d533a62b1442cfe","observation_id":"63959333-1c2d-4833-aadf-0b319e6e3f25","resolution":{"observed_at":"2026-06-30T00:04:06.612843Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Comparison among Correction Methods of Individual Kepler Energies inn- Body Simulations,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:41c96dfb38cc017552653330ccbf05a48833c420af53fe64007fcb4f3c78391f","observation_id":"2b56bf45-ec32-4ea6-928c-c6260ac549de","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Velocity scaling method to correct individual Kepler energies,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:d5a66481998e8eee1483085670b9c16f56ccb44a768dce2ebe4cd06afbcd7e2e","observation_id":"270c7641-7bcb-40e4-aa4f-f1d695526053","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Velocity corrections to Kepler energy and Laplace integral,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:2d315a148ca01003347cfd3a7799d993655c333bffac7fcadae3d5d13911cd25","observation_id":"8e5092da-21e7-4679-abde-3740bea0fd7e","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2507.22494","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-07-08T21:15:39.248837Z","title":"Geodesics and shadows in the Kerr-Bertotti-Robinson black hole space- time,","venue":null,"work_id":"878d7a8e-3555-4d37-bf98-a00ab8a90602","year":2026},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:7b0c102666253245b45604b2639461e7fb7b947500eca70341958118974a40c4","observation_id":"45ba1371-1235-418a-be6b-6dde1d7235dc","resolution":{"observed_at":"2026-06-30T00:04:06.602036Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0302118","last_updated":"2003-06-21T01:59:44Z","snapshot_observed_at":"2026-07-07T03:17:25.519676Z","submitted_at":"2003-02-28T08:08:04Z","title":"Computation of Lyapunov Exponents in General Relativity","version":2},"cited_work":{"arxiv_id":"gr-qc/0302118","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0302118","snapshot_observed_at":"2026-07-03T08:47:49.939209Z","title":"Computation of Lyapunov Exponents in General Relativity","venue":"gr-qc","work_id":"d1eca56e-f2a4-49b9-b34e-83e9c771d205","year":2003},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/gr-qc/0302118","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:90c3f5d08e7f4d9c735ffe6233a0ddec852b2614e693b81a3ca2d41f2a999d32","observation_id":"d583634c-3934-4a39-9a19-ffbccb40a395","resolution":{"observed_at":"2026-06-30T00:04:06.610079Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1006.5251","last_updated":"2010-06-28T01:23:44Z","snapshot_observed_at":"2026-07-06T02:12:12.989049Z","submitted_at":"2010-06-28T01:23:44Z","title":"Lyapunov indices with two nearby trajectories in a curved spacetime","version":1},"cited_work":{"arxiv_id":"1006.5251","doi":null,"metadata_source":"pith","pith_arxiv_id":"1006.5251","snapshot_observed_at":"2026-06-30T00:04:06.614130Z","title":"Lyapunov indices with two nearby trajectories in a curved spacetime","venue":"gr-qc","work_id":"b3d0e22c-4fd6-4b4d-aed2-cfd173fedc4a","year":2010},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1006.5251","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:e9fed62bdf4b444d4c6fdc7acca38b73a933ccd95c8ac1f33b8dcb60672080f4","observation_id":"1f77e284-05e2-40a4-a640-28576c62d578","resolution":{"observed_at":"2026-06-30T00:04:06.615427Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"The fast Lyapunov in- dicator: a simple tool to detect weak chaos. Application to the structure of the main asteroidal belt,","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:c2928a929dc72e57274ebc84f7831722d4d95f20f3380168e8001e805dc6d02f","observation_id":"fbc6e670-b4e4-4fcd-af02-da49e30ac8cf","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Local And Global Dif- fusion Along Resonant Lines in Discrete Quasi-integrable Dy- namical Systems,","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:2a9acb98b224af02eba887ba7c3049ded3b8088fc5942a13d7d4fb5123a6fcf6","observation_id":"3e94c31c-5037-44f1-8146-5c636dc67842","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1311.6281","last_updated":"2014-02-07T10:38:01Z","snapshot_observed_at":"2026-08-11T00:24:52.688989Z","submitted_at":"2013-11-25T12:46:53Z","title":"Adjusting chaotic indicators to curved spacetimes","version":2},"cited_work":{"arxiv_id":"1311.6281","doi":null,"metadata_source":"pith","pith_arxiv_id":"1311.6281","snapshot_observed_at":"2026-06-30T00:04:06.625154Z","title":"Adjusting chaotic indicators to curved spacetimes","venue":"gr-qc","work_id":"3c05b82f-2ba4-41b4-b810-8ea6fde5e445","year":2013},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1311.6281","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:f12a3885ecf40fffccc8587e0e3334cdd6e52f1382d713346a0cfda09f8b9802","observation_id":"ddadad1f-775c-4120-a44b-e5c56973d893","resolution":{"observed_at":"2026-06-30T00:04:06.626518Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Re- currence plots of dynamical systems,","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:bdfbbd7f4a11690ff29dd952f5b2cb41c3597b9b96fce9c1abc8dbe24c86c1c8","observation_id":"cbab6b1c-013d-4d05-ad7a-c799ff0f5ede","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2501.13933","last_updated":"2025-01-09T14:49:48Z","snapshot_observed_at":"2026-08-10T21:10:59.161444Z","submitted_at":"2025-01-09T14:49:48Z","title":"Recurrence Plots for the Analysis of Complex Systems","version":1},"cited_work":{"arxiv_id":"2501.13933","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2501.13933","snapshot_observed_at":"2026-06-30T00:04:06.659564Z","title":"Re- currence plots for the analysis of complex systems,","venue":null,"work_id":"1c2ab088-a793-406e-8614-ab10eb5b0ba1","year":2007},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/2501.13933","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:3e17c0c9004a10aa75a1697ef49bdb276490aac68122153a5130970e8f184435","observation_id":"559a2a2b-faed-4e24-8cf4-9a883b0a253d","resolution":{"observed_at":"2026-06-30T00:04:06.661161Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1008.4650","last_updated":"2010-08-27T06:27:23Z","snapshot_observed_at":"2026-07-06T02:14:43.014311Z","submitted_at":"2010-08-27T06:27:23Z","title":"Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects","version":1},"cited_work":{"arxiv_id":"1008.4650","doi":null,"metadata_source":"pith","pith_arxiv_id":"1008.4650","snapshot_observed_at":"2026-06-30T00:04:06.597944Z","title":"Transition from Regular to Chaotic Circulation in Magnetized Coronae near Compact Objects","venue":"astro-ph.HE","work_id":"9a720f79-49ba-48f4-b627-1d98208077ec","year":2010},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1008.4650","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:1b4966b4e538b643920a6d1ec5ec0317cdacc1c9dbdad82414345117535a40ff","observation_id":"3f5d6221-bc70-44e5-b883-891f7cdc2750","resolution":{"observed_at":"2026-06-30T00:04:06.599217Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1011.2707","last_updated":"2010-11-11T17:01:15Z","snapshot_observed_at":"2026-07-06T02:19:03.905500Z","submitted_at":"2010-11-11T17:01:15Z","title":"Recurrence plots and chaotic motion around Kerr black hole","version":1},"cited_work":{"arxiv_id":"1011.2707","doi":null,"metadata_source":"pith","pith_arxiv_id":"1011.2707","snapshot_observed_at":"2026-06-30T00:04:06.574664Z","title":"Recurrence plots and chaotic motion around Kerr black hole","venue":"astro-ph.HE","work_id":"160cd86e-6f33-4c47-af6c-f010340423d7","year":2010},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1011.2707","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:f897944ba857e6d68cc7bcfd0682d3029015071a6e107409cde87cb4102c335a","observation_id":"2b379a9e-49c8-4ea9-871b-21929e4d84f6","resolution":{"observed_at":"2026-06-30T00:04:06.575847Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.08446","last_updated":"2017-09-25T12:18:19Z","snapshot_observed_at":"2026-07-06T06:01:10.245241Z","submitted_at":"2017-09-25T12:18:19Z","title":"Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise","version":1},"cited_work":{"arxiv_id":"1709.08446","doi":null,"metadata_source":"pith","pith_arxiv_id":"1709.08446","snapshot_observed_at":"2026-06-30T00:04:06.577208Z","title":"Recurrence Analysis as a tool to study chaotic dynamics of extreme mass ratio inspiral in signal with noise","venue":"gr-qc","work_id":"ca4de173-bf23-4df4-9aee-b588da06fdd6","year":2017},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"cited_paper":"/paper/1709.08446","citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:868bda1619d71a384addf8f0d00811a943c7e5c806e487580ea70e1859ff695a","observation_id":"63bc1fc3-f2d2-4a22-9239-887d2705ae92","resolution":{"observed_at":"2026-06-30T00:04:06.578445Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-29T23:55:10.509274Z","title":"Determining embedding dimension for phase-space reconstruction using a geometrical construction,","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-06-29T23:55:10.509274Z"},"links":{"citing_paper":"/paper/2605.25094"},"observation_digest":"sha256:b7b7b6e81b956ff9da4ab39481230e67dcff39fc50904270a7c415432d08191b","observation_id":"3f7c6bf3-2028-42e5-a648-5db59d903642","resolution":{"observed_at":"2026-06-29T23:55:10.509274Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2605.25094","last_updated":"2026-05-24T14:16:05Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-07-06T23:35:06.733347Z","submitted_at":"2026-05-24T14:16:05Z","title":"Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background"},"reference_resolution":{"displayed":88,"state_counts":{"malformed_identifier":1,"metadata_mismatch":7,"parse_uncertain":0,"unresolved":18,"verified_exact":62,"verified_fuzzy":0},"total_outbound_references":88},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 12 August 2026, this Paper Citation Record lists 88 of 88 outbound references and 1 inbound Pith citation observation for arXiv:2605.25094."}