{"as_of":"2026-08-22T00:40:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:dcb398982ce68db8fe97b66d654fd2a18b7eeb185f80280fb73c6f023942a9e7","coverage":[{"denominator":85,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":85,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T00:03:51.003312Z","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":"2026-08-21T06:32:19.484+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T22:05:52.676612Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-07-03T08:47:49.886489Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.03657","snapshot_observed_at":"2026-08-03T22:05:52.676612Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.12570","last_updated":"2026-06-01T07:53:47Z","snapshot_observed_at":"2026-08-13T01:46:33.651229Z","submitted_at":"2025-11-16T12:22:22Z","title":"Black hole spacetimes with dark matter spikes: Energy-momentum tensor and backreaction effects","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-03T22:05:52.676612Z"},"links":{"cited_paper":"/paper/2511.03657","citing_paper":"/paper/2511.12570"},"observation_digest":"sha256:36294a36bc214cbf576b1850ae5c9209ace58137c52425791a8531a174e8f2be","observation_id":"95384b84-e00d-4498-bda3-5ecf5e9c6fdd","resolution":{"observed_at":"2026-08-03T22:05:52.676612Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.03657","snapshot_observed_at":"2026-08-02T21:41:49.514231Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.19541","last_updated":"2026-06-29T16:28:05Z","snapshot_observed_at":"2026-08-21T23:10:17.569877Z","submitted_at":"2026-02-23T06:29:03Z","title":"Chaotic imprints of dark matter in extreme mass-ratio inspirals","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-02T21:41:49.514231Z"},"links":{"cited_paper":"/paper/2511.03657","citing_paper":"/paper/2602.19541"},"observation_digest":"sha256:bcf00a47806e894231ea49e1daa1a1682fa6d50d10e3b8360d2168ed99b7467e","observation_id":"4eb67026-4295-463a-83f9-ea396af7d9a9","resolution":{"observed_at":"2026-08-02T21:41:49.514231Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"cited_work":{"arxiv_id":"2511.03657","doi":null,"metadata_source":"pith","pith_arxiv_id":"2511.03657","snapshot_observed_at":"2026-07-03T08:47:49.886489Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","venue":"gr-qc","work_id":"cc86c602-3784-4fcd-a60d-dcea32df989a","year":2025},"citing_paper":{"arxiv_id":"2607.01910","last_updated":"2026-07-02T09:09:29Z","snapshot_observed_at":"2026-07-31T04:25:38.664405Z","submitted_at":"2026-07-02T09:09:29Z","title":"Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-07-03T08:38:56.010970Z"},"links":{"cited_paper":"/paper/2511.03657","citing_paper":"/paper/2607.01910"},"observation_digest":"sha256:256d14042edd8d9fa76c5b3916d65b2310ff171bdc75cd317854eafbdfba32aa","observation_id":"c06ebe15-873e-4ba5-9f7a-44548f5489d4","resolution":{"observed_at":"2026-07-03T08:47:49.887761Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2511.03657","snapshot_observed_at":"2026-07-11T13:22:06.976372Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2607.04799","last_updated":"2026-07-06T08:33:00Z","snapshot_observed_at":"2026-08-15T17:48:37.322451Z","submitted_at":"2026-07-06T08:33:00Z","title":"Chaotic particle dynamics near a traversable wormhole throat","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-11T13:22:06.976372Z"},"links":{"cited_paper":"/paper/2511.03657","citing_paper":"/paper/2607.04799"},"observation_digest":"sha256:6357b87f4b455dda0ebe40ebae23aeb19ed0898b8fd080ac8f268857025c77ed","observation_id":"be7abad3-14a0-433a-b6a2-56f9e2c9ae9e","resolution":{"observed_at":"2026-07-11T13:22:06.976372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2511.03657/citation-record","integrity":"/paper/2511.03657/integrity","json":"/paper/2511.03657/citation-record.json","paper":"/paper/2511.03657"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-04T00:03:43.517850Z","title":"Chandrasekhar,The mathematical theory of black holes (Oxford Classic Texts in the Physical Sciences)","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:43.517850Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:063bf0f8d3a9f265bc68ef94186b7cc16816349c2252f582740aca57535d3c38","observation_id":"cc1e195a-7961-4222-963e-f0eb7c68d87a","resolution":{"observed_at":"2026-08-04T00:03:43.517850Z","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":"2026-08-04T00:03:43.587877Z","title":"Carter,Global structure of the kerr family of gravitational fields,Phys","venue":null,"work_id":null,"year":1968},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:43.587877Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:40629398873b14dff0a980b3d6c880bee3d984617230bbaeb244723c90f87941","observation_id":"85fed8da-cb51-4a75-a260-57fde1aed3a3","resolution":{"observed_at":"2026-08-04T00:03:43.587877Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1705.05482","last_updated":"2017-11-22T23:51:18Z","snapshot_observed_at":"2026-08-14T21:00:31.522284Z","submitted_at":"2017-05-15T23:38:24Z","title":"Black holes, hidden symmetries, and complete integrability","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1705.05482","snapshot_observed_at":"2026-08-04T00:03:43.646008Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:43.646008Z"},"links":{"cited_paper":"/paper/1705.05482","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:21042c47b22441302f20a009b0546fa0b46f7f9d0820194b6859fdbd23ac7cf1","observation_id":"a3491ea8-0cba-47c4-81f6-14ab87cd8bb9","resolution":{"observed_at":"2026-08-04T00:03:43.646008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9910064","last_updated":"1999-10-20T06:07:34Z","snapshot_observed_at":"2026-08-07T07:34:53.690492Z","submitted_at":"1999-10-20T06:07:34Z","title":"Signature of chaos in gravitational waves from a spinning particle","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9910064","snapshot_observed_at":"2026-08-04T00:03:43.722643Z","title":"Suzuki and K.-i","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:43.722643Z"},"links":{"cited_paper":"/paper/gr-qc/9910064","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:99c961de2aba368b892c973053fe1d3eb42c23268656b1e5fa19ddce86951b48","observation_id":"65ab07cb-5020-4dc8-8ac4-ffd57f5cee10","resolution":{"observed_at":"2026-08-04T00:03:43.722643Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0404124","last_updated":"2004-04-30T03:32:13Z","snapshot_observed_at":"2026-07-07T03:19:09.516657Z","submitted_at":"2004-04-30T03:32:13Z","title":"Gravitational Waves from Chaotic Dynamical System","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0404124","snapshot_observed_at":"2026-08-04T00:03:43.847881Z","title":"Kiuchi and K.-i","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:43.847881Z"},"links":{"cited_paper":"/paper/gr-qc/0404124","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:5cfd8bc9f6026e38454fe5344b9a680386b408d57643c726391a585efcf4739e","observation_id":"79b77487-f579-4c60-8acb-59214a0fd1cd","resolution":{"observed_at":"2026-08-04T00:03:43.847881Z","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":"2026-08-04T00:03:43.927817Z","title":"Bombelli and E","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:43.927817Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:cb41ad8b27f5a8458a1dc2658a7b0f8fbcff89ff64b237d8ac201c5ad3543893","observation_id":"40926317-0f4d-4a45-a6ca-836af7ec8283","resolution":{"observed_at":"2026-08-04T00:03:43.927817Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9505036","snapshot_observed_at":"2026-08-04T00:03:44.085191Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.085191Z"},"links":{"cited_paper":"/paper/gr-qc/9505036","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:cbf9376822cd57a978ad03669bd6d204e620d7bf9db2a65334d23ccd6296e700","observation_id":"f0d5b290-6994-4f3c-ae20-767387edf0b5","resolution":{"observed_at":"2026-08-04T00:03:44.085191Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9604037","last_updated":"1996-04-18T02:49:28Z","snapshot_observed_at":"2026-08-13T17:44:07.944744Z","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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9604037","snapshot_observed_at":"2026-08-04T00:03:44.148698Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.148698Z"},"links":{"cited_paper":"/paper/gr-qc/9604037","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:47d9f3a08a02ae3436dcede58ecd6412f389abe2948b3604e3c3a23199cd98d0","observation_id":"97956814-5b8c-4f6b-9e97-d185cb4c976f","resolution":{"observed_at":"2026-08-04T00:03:44.148698Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/9604020","last_updated":"1996-04-09T07:15:31Z","snapshot_observed_at":"2026-08-19T16:49:55.287666Z","submitted_at":"1996-04-09T07:15:31Z","title":"Chaos in Schwarzschild Spacetime : The Motion of a Spinning Particle","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/9604020","snapshot_observed_at":"2026-08-04T00:03:44.208607Z","title":"Suzuki and K.-i","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.208607Z"},"links":{"cited_paper":"/paper/gr-qc/9604020","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ba507ff1fad464af9d518c89335f324fbde1c8ee9e429f189b4db6981702f99d","observation_id":"36ccd318-f834-4930-81db-7eb7699358d4","resolution":{"observed_at":"2026-08-04T00:03:44.208607Z","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":"2026-08-04T00:03:44.328559Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.328559Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:e5c656673bb5ba2bd930ee7a0f0a844012b4ac1c256008540820ad2e767b0aee","observation_id":"aeecc0e9-094b-4466-9d5c-7009070d9bb4","resolution":{"observed_at":"2026-08-04T00:03:44.328559Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"chao-dyn/9910035","last_updated":"1999-10-26T14:08:08Z","snapshot_observed_at":"2026-07-07T01:32:59.066498Z","submitted_at":"1999-10-26T14:08:08Z","title":"Chaos and Fractals in Geodesic Motions Around a Non-Rotating Black-Hole with an External Halo","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"chao-dyn/9910035","snapshot_observed_at":"2026-08-04T00:03:44.415451Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.415451Z"},"links":{"cited_paper":"/paper/chao-dyn/9910035","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:72ee3ffd03469197298503191fad796d1d13440daf8312c14551137212e86415","observation_id":"31dd137a-cd85-41bf-81bd-6a101c1760e8","resolution":{"observed_at":"2026-08-04T00:03:44.415451Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0210042","last_updated":"2003-02-12T19:38:25Z","snapshot_observed_at":"2026-08-12T14:17:24.339896Z","submitted_at":"2002-10-14T22:55:35Z","title":"Dynamics of spinning test particles in Kerr spacetime","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0210042","snapshot_observed_at":"2026-08-04T00:03:44.651827Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.651827Z"},"links":{"cited_paper":"/paper/gr-qc/0210042","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ffbc2b92eb103d83be07ecb643dc3ef7206d84b4bac77742f16e3a2beb30c061","observation_id":"30e9bdac-9778-4648-ba9a-f8250036ecdb","resolution":{"observed_at":"2026-08-04T00:03:44.651827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1006.2229","last_updated":"2010-06-11T08:28:17Z","snapshot_observed_at":"2026-08-20T13:06:36.990183Z","submitted_at":"2010-06-11T08:28:17Z","title":"Chaos and dynamics of spinning particles in Kerr spacetime","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1006.2229","snapshot_observed_at":"2026-08-04T00:03:44.779724Z","title":"Han,Chaos and dynamics of spinning particles in Kerr spacetime,Gen","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.779724Z"},"links":{"cited_paper":"/paper/1006.2229","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:e42388c2ed089b4b156f5d5f7af779f121494ddeab3dae838a0f97c2594ab765","observation_id":"f2c69541-45b5-4a40-9340-489949411dec","resolution":{"observed_at":"2026-08-04T00:03:44.779724Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.0277","last_updated":"2008-07-02T06:23:14Z","snapshot_observed_at":"2026-08-15T10:12:04.441249Z","submitted_at":"2008-07-02T06:23:14Z","title":"Chaotic motion of Charged Particles in an Electromagnetic Field Surrounding a Rotating Black Hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0807.0277","snapshot_observed_at":"2026-08-04T00:03:44.893838Z","title":"Takahashi and H","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.893838Z"},"links":{"cited_paper":"/paper/0807.0277","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:858533e80f8a5509c87cafed126492075237e61fe9e1ed3e0f1837d3aa4bc841","observation_id":"1acd3131-0330-43d2-9f98-27049b607c1d","resolution":{"observed_at":"2026-08-04T00:03:44.893838Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1610.06070","last_updated":"2016-11-01T01:18:58Z","snapshot_observed_at":"2026-08-16T05:43:39.597491Z","submitted_at":"2016-10-19T15:44:35Z","title":"Universality in Chaos of Particle Motion near Black Hole Horizon","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.06070","snapshot_observed_at":"2026-08-04T00:03:44.985270Z","title":"Hashimoto and N","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:44.985270Z"},"links":{"cited_paper":"/paper/1610.06070","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:17f2606816aa722f01f9986d12b59e4340e02577003a4d0e4239eee1f808c11b","observation_id":"5457643a-7c10-426e-be79-e2ef6dbdd2d9","resolution":{"observed_at":"2026-08-04T00:03:44.985270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.02119","last_updated":"2018-03-06T11:26:16Z","snapshot_observed_at":"2026-08-14T19:39:06.114817Z","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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.02119","snapshot_observed_at":"2026-08-04T00:03:45.076852Z","title":"Li and X","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.076852Z"},"links":{"cited_paper":"/paper/1803.02119","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:fbccad075dd5eeb00150cf48fc362ff77e521779ebb48aad74dc5f5032a96387","observation_id":"f26bd800-defd-4c6c-b3f1-1fb743fb3d05","resolution":{"observed_at":"2026-08-04T00:03:45.076852Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2008.01384","last_updated":"2021-09-01T15:26:34Z","snapshot_observed_at":"2026-08-17T04:40:14.513763Z","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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2008.01384","snapshot_observed_at":"2026-08-04T00:03:45.171960Z","title":"Lei, X.-H","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.171960Z"},"links":{"cited_paper":"/paper/2008.01384","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:4d20e564c7d30a6909f249cf7371527af9ffebc873c47a5cfa9d53eacc45ada5","observation_id":"d9548131-b21f-4d78-bc26-137bffff263b","resolution":{"observed_at":"2026-08-04T00:03:45.171960Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2001.04979","last_updated":"2021-03-09T18:24:31Z","snapshot_observed_at":"2026-08-18T20:03:41.765248Z","submitted_at":"2020-01-14T10:45:02Z","title":"Detection of chaos in the general relativistic Poynting-Robertson effect: Kerr equatorial plane","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2001.04979","snapshot_observed_at":"2026-08-04T00:03:45.249271Z","title":"De Falco and W","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.249271Z"},"links":{"cited_paper":"/paper/2001.04979","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:dc79fd027488fe7850ec914229f0fc506c68fed77a15e9dc163c12de853d5048","observation_id":"28d8d137-0b2c-4150-b8b7-27e8a6a97002","resolution":{"observed_at":"2026-08-04T00:03:45.249271Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.00965","last_updated":"2021-05-03T16:01:22Z","snapshot_observed_at":"2026-08-16T18:27:22.702959Z","submitted_at":"2021-05-03T16:01:22Z","title":"Timescales of the chaos onset in the general relativistic Poynting-Robertson effect","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.00965","snapshot_observed_at":"2026-08-04T00:03:45.327564Z","title":"De Falco and W","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.327564Z"},"links":{"cited_paper":"/paper/2105.00965","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:30c496910bc07fce85a4fbd133802a959a7aa077ebca911b6cc4e073ff85a24b","observation_id":"1b79825a-ca78-4a3f-a3ff-27f32d5421b0","resolution":{"observed_at":"2026-08-04T00:03:45.327564Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.06527","last_updated":"2018-11-28T05:12:50Z","snapshot_observed_at":"2026-08-14T19:35:11.812630Z","submitted_at":"2018-03-17T16:00:29Z","title":"Presence of horizon makes particle motion chaotic","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.06527","snapshot_observed_at":"2026-08-04T00:03:45.398518Z","title":"Dalui, B","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.398518Z"},"links":{"cited_paper":"/paper/1803.06527","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:e5efdc81e21e94db44aedf89c242d6e42c9a66eb8375c9b180a5407fecfe16fd","observation_id":"3222c166-0c84-49c5-bdbd-1fdac19b5c91","resolution":{"observed_at":"2026-08-04T00:03:45.398518Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1904.11760","last_updated":"2020-05-14T11:30:32Z","snapshot_observed_at":"2026-08-14T16:41:02.404746Z","submitted_at":"2019-04-26T11:03:07Z","title":"Induction of chaotic fluctuations in particle dynamics in a uniformly accelerated frame","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1904.11760","snapshot_observed_at":"2026-08-04T00:03:45.481094Z","title":"Dalui, B","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.481094Z"},"links":{"cited_paper":"/paper/1904.11760","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:97ab0d44c67ed5e2444e3eaea462da6567c04e6b2a0457cd14fcfc5304036baf","observation_id":"60c7ac01-cf63-40b4-a5d5-3a2fc4da3251","resolution":{"observed_at":"2026-08-04T00:03:45.481094Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.00330","last_updated":"2022-04-07T07:03:06Z","snapshot_observed_at":"2026-08-16T17:59:32.060339Z","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":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.00330","snapshot_observed_at":"2026-08-04T00:03:45.576644Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.576644Z"},"links":{"cited_paper":"/paper/2109.00330","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ad91afdd595f49e70b5826fcf21081a162525249e1d659cfec3d12abd856d2fa","observation_id":"0174e9c8-7242-441b-80f1-b606da81583b","resolution":{"observed_at":"2026-08-04T00:03:45.576644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.09945","last_updated":"2024-12-16T16:55:18Z","snapshot_observed_at":"2026-08-16T13:52:14.699479Z","submitted_at":"2024-05-16T09:50:42Z","title":"Near-horizon chaos beyond Einstein gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.09945","snapshot_observed_at":"2026-08-04T00:03:45.766798Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.766798Z"},"links":{"cited_paper":"/paper/2405.09945","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:edf13803053ca407cfd4fa19c70ee406c0ab328c63365222de197fca71bc941f","observation_id":"13d0cdca-c3aa-4827-a28a-06cc539f459d","resolution":{"observed_at":"2026-08-04T00:03:45.766798Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0811.3814","last_updated":"2008-11-24T07:45:38Z","snapshot_observed_at":"2026-08-17T02:35:22.557406Z","submitted_at":"2008-11-24T07:45:38Z","title":"Homoclinic Orbits around Spinning Black Holes I: Exact Solution for the Kerr Separatrix","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.3814","snapshot_observed_at":"2026-08-04T00:03:45.924812Z","title":"Levin and G","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:45.924812Z"},"links":{"cited_paper":"/paper/0811.3814","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:cc87502a6b4cf1bd9e21da4c85ff32014d85e2dadf0332fd0c49a4a5b2b68307","observation_id":"10881993-e045-4e02-9b9e-001d1bb44785","resolution":{"observed_at":"2026-08-04T00:03:45.924812Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0811.3815","last_updated":"2008-11-24T07:50:47Z","snapshot_observed_at":"2026-08-15T10:01:22.721438Z","submitted_at":"2008-11-24T07:50:47Z","title":"Homoclinic Orbits around Spinning Black Holes II: The Phase Space Portrait","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.3815","snapshot_observed_at":"2026-08-04T00:03:46.012883Z","title":"Perez-Giz and J","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.012883Z"},"links":{"cited_paper":"/paper/0811.3815","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:6a0bbcd9b4ac634fbbe668773c810fcfb218d52e80a393c0cbfd6411a17b4bbf","observation_id":"a0f7fa2e-045f-40e6-b3bb-5acc00b324f3","resolution":{"observed_at":"2026-08-04T00:03:46.012883Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2301.12198","last_updated":"2023-05-17T08:21:16Z","snapshot_observed_at":"2026-08-16T15:59:31.124398Z","submitted_at":"2023-01-28T13:39:40Z","title":"Homoclinic orbit and the violation of the chaos bound around a black hole with anisotropic matter fields","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2301.12198","snapshot_observed_at":"2026-08-04T00:03:46.085446Z","title":"Jeong, B.-H","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.085446Z"},"links":{"cited_paper":"/paper/2301.12198","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:c5e3096539b182cd3f8ea4242ab6376952373dcf09af8589c7831edda89d0b6a","observation_id":"bd4ebec5-958a-4f2e-a9a6-00cdfb6d7dcd","resolution":{"observed_at":"2026-08-04T00:03:46.085446Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1911.09790","last_updated":"2019-11-22T00:09:44Z","snapshot_observed_at":"2026-08-16T00:34:50.219852Z","submitted_at":"2019-11-22T00:09:44Z","title":"Free motion around black holes with discs or rings: between integrability and chaos -- VI. The Melnikov method","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1911.09790","snapshot_observed_at":"2026-08-04T00:03:46.165982Z","title":"Polcar and O","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.165982Z"},"links":{"cited_paper":"/paper/1911.09790","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:1c6a1b3b9d4004f2fc972a6ffbff39f506349c3300f61e3d217060a67a86b572","observation_id":"014f7511-284c-4a13-891d-6c42e0fc7fa9","resolution":{"observed_at":"2026-08-04T00:03:46.165982Z","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":"2026-08-04T00:03:46.248859Z","title":"Guckenheimer and P","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.248859Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:45cf192fdeb482dc3931048dbebf2b61a5889d0e7d1d0f4abd545251c0b1f0d2","observation_id":"a0e9ee9c-d431-41f4-bd3d-66ea8b713625","resolution":{"observed_at":"2026-08-04T00:03:46.248859Z","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":"2026-08-04T00:03:46.319590Z","title":"Wiggins,Introduction to Applied Nonlinear Dynamical Systems and Chaos","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.319590Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:8959eba464f4616fd994e04b31b728d81818eee5f731c6fd84a9c59135381a0f","observation_id":"1adf7f94-8270-4912-abf9-5027b89e855c","resolution":{"observed_at":"2026-08-04T00:03:46.319590Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0008058","last_updated":"2000-08-23T21:20:46Z","snapshot_observed_at":"2026-07-07T03:12:53.505276Z","submitted_at":"2000-08-23T21:20:46Z","title":"Gravitational waves from extreme mass ratio inspirals: Challenges in mapping the spacetime of massive, compact objects","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0008058","snapshot_observed_at":"2026-08-04T00:03:46.389142Z","title":null,"venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.389142Z"},"links":{"cited_paper":"/paper/gr-qc/0008058","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:93fe74f4db4d651dc6e6e318c713becf8d8af3ddffc2088830f01678cf9828dc","observation_id":"2c1d626f-9928-4aa6-bf34-03ce19184fc7","resolution":{"observed_at":"2026-08-04T00:03:46.389142Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.09722","last_updated":"2018-04-11T11:52:26Z","snapshot_observed_at":"2026-08-14T21:09:32.929806Z","submitted_at":"2017-03-28T18:00:17Z","title":"Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.09722","snapshot_observed_at":"2026-08-04T00:03:46.451685Z","title":"Babak, J","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.451685Z"},"links":{"cited_paper":"/paper/1703.09722","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:f7ad74a637989d5b811c5af679e627cb9905808a9ca51ef978bd16eddca11c03","observation_id":"9aa15ae3-d12a-4bb4-93ae-d1bacaf6a50e","resolution":{"observed_at":"2026-08-04T00:03:46.451685Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.5240","last_updated":"2018-02-07T20:39:39Z","snapshot_observed_at":"2026-08-15T00:59:10.690656Z","submitted_at":"2012-05-23T18:04:13Z","title":"Relativistic Dynamics and Extreme Mass Ratio Inspirals","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.5240","snapshot_observed_at":"2026-08-04T00:03:46.516678Z","title":"Amaro-Seoane,Relativistic dynamics and extreme mass ratio inspirals,Living Rev","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.516678Z"},"links":{"cited_paper":"/paper/1205.5240","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ae1ec2e4f7677997bc01ea01f940c28d91e33e649344071a40085314406ae51a","observation_id":"801719ee-b7ce-4eb2-b02e-6852bd5c3c61","resolution":{"observed_at":"2026-08-04T00:03:46.516678Z","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":"2026-08-04T00:03:46.660993Z","title":"Hu and Y.-L","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.660993Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:698ff02c4b9a54b1de932e255932d305cc94070e2c1d25841628bfb937ed59c8","observation_id":"e22ab237-6d1e-4db1-817c-97e65d4e036a","resolution":{"observed_at":"2026-08-04T00:03:46.660993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-ph/0404175","last_updated":"2004-08-13T15:46:27Z","snapshot_observed_at":"2026-08-20T10:45:28.443274Z","submitted_at":"2004-04-21T13:12:59Z","title":"Particle Dark Matter: Evidence, Candidates and Constraints","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-ph/0404175","snapshot_observed_at":"2026-08-04T00:03:46.758061Z","title":"Bertone, D","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.758061Z"},"links":{"cited_paper":"/paper/hep-ph/0404175","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:190f8247a674bc109d02638eb1cf4836825b79e3252fc14a862f267e99165bb4","observation_id":"e3f13b95-42cb-4e57-ac64-524532bc6aaf","resolution":{"observed_at":"2026-08-04T00:03:46.758061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1309.0809","last_updated":"2013-12-04T01:22:09Z","snapshot_observed_at":"2026-08-15T00:04:30.618531Z","submitted_at":"2013-09-03T20:00:00Z","title":"A direct dynamical measurement of the Milky Way's disk surface density profile, disk scale length, and dark matter profile at 4 kpc < R < 9 kpc","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1309.0809","snapshot_observed_at":"2026-08-04T00:03:46.819949Z","title":"Bovy and H.-W","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:46.819949Z"},"links":{"cited_paper":"/paper/1309.0809","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:91bc3fbea366b2671843e3812ae3b4d94731bed6dad1b0b9406360b2f43081e1","observation_id":"62b09db4-2a58-4869-bc15-0a4b712bbdf9","resolution":{"observed_at":"2026-08-04T00:03:46.819949Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.00013","last_updated":"2017-05-16T12:53:50Z","snapshot_observed_at":"2026-08-14T21:14:15.624509Z","submitted_at":"2017-02-28T19:00:00Z","title":"How Dark Matter Came to Matter","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.00013","snapshot_observed_at":"2026-08-04T00:03:47.015820Z","title":"de Swart, G","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.015820Z"},"links":{"cited_paper":"/paper/1703.00013","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:3f0c074c2bc0f94266375885904e2b186d0e31c60cee0f866806dc6a202525b0","observation_id":"3c608ffa-cf1f-4626-b658-507f8ba6b9fb","resolution":{"observed_at":"2026-08-04T00:03:47.015820Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1804.03097","last_updated":"2018-04-09T16:51:59Z","snapshot_observed_at":"2026-08-17T11:05:49.858576Z","submitted_at":"2018-04-09T16:51:59Z","title":"The Connection between Galaxies and their Dark Matter Halos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1804.03097","snapshot_observed_at":"2026-08-04T00:03:47.075674Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.075674Z"},"links":{"cited_paper":"/paper/1804.03097","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:e5f90781ffb20066431d3f824d81e650ff11719e9132d856355802011db6c5ff","observation_id":"01cc71a6-5bc6-44a4-aa7e-3cafeedf05cb","resolution":{"observed_at":"2026-08-04T00:03:47.075674Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1810.01668","last_updated":"2018-10-03T10:02:19Z","snapshot_observed_at":"2026-08-15T10:24:17.577902Z","submitted_at":"2018-10-03T10:02:19Z","title":"A New Era in the Quest for Dark Matter","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1810.01668","snapshot_observed_at":"2026-08-04T00:03:47.141346Z","title":"Bertone and T","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.141346Z"},"links":{"cited_paper":"/paper/1810.01668","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:9d5aa45c3aa60ef513c9259c29c6f651145d51bb0b64d28872c22c5ff5d0023f","observation_id":"6f00f76f-cad6-4e26-82cb-c085f85cb76d","resolution":{"observed_at":"2026-08-04T00:03:47.141346Z","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":"2026-08-04T00:03:47.212519Z","title":"Dubinski and R","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.212519Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ea8b337fcefbda60c8e1f561c024d51b5aaf644eb295d8ad51b3bf9f908bb909","observation_id":"3a2b42a4-fd25-4768-89db-e842885b7cb1","resolution":{"observed_at":"2026-08-04T00:03:47.212519Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9504041","last_updated":"1995-04-12T15:15:01Z","snapshot_observed_at":"2026-08-14T14:17:58.067695Z","submitted_at":"1995-04-12T15:15:01Z","title":"The Structure of Dark Matter Haloes in Dwarf Galaxies","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9504041","snapshot_observed_at":"2026-08-04T00:03:47.377459Z","title":"Burkert,The Structure of dark matter halos in dwarf galaxies,Astrophys","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.377459Z"},"links":{"cited_paper":"/paper/astro-ph/9504041","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:bdd402069aa0e3394c7a19948130276eb499d42d62f88526e95d2f4e03459428","observation_id":"f0ed2f34-69a4-488f-a741-25c9f7080f2f","resolution":{"observed_at":"2026-08-04T00:03:47.377459Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9508025","last_updated":"1995-08-07T09:36:00Z","snapshot_observed_at":"2026-07-07T01:11:37.947406Z","submitted_at":"1995-08-07T09:36:00Z","title":"The Structure of Cold Dark Matter Halos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9508025","snapshot_observed_at":"2026-08-04T00:03:47.439920Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.439920Z"},"links":{"cited_paper":"/paper/astro-ph/9508025","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:07daaf703e43003736230fc2e271f9b099c446eb086b5c72de0118a7e70d3fc3","observation_id":"35aa6697-ebb4-414e-aab6-788a00fc4218","resolution":{"observed_at":"2026-08-04T00:03:47.439920Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9611107","last_updated":"1997-10-21T23:14:37Z","snapshot_observed_at":"2026-07-07T01:15:03.940917Z","submitted_at":"1996-11-13T22:59:55Z","title":"A Universal Density Profile from Hierarchical Clustering","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9611107","snapshot_observed_at":"2026-08-04T00:03:47.501886Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.501886Z"},"links":{"cited_paper":"/paper/astro-ph/9611107","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:13fb2a249fcb4da0f9341fa225d8162b26a9d25ad184777339cee972d125de5e","observation_id":"59bb3b0b-1ad6-4046-b483-69bfa87c52bc","resolution":{"observed_at":"2026-08-04T00:03:47.501886Z","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":"2026-08-04T00:03:47.585060Z","title":"Hernquist,An Analytical Model for Spherical Galaxies and Bulges,Astrophys","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.585060Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:afaa2094f2f93ffbf45b829cac5ad5c52f5a7f492f14cfb35f83db1d66c12396","observation_id":"20ef8203-0194-4203-91c1-bc673f099b8f","resolution":{"observed_at":"2026-08-04T00:03:47.585060Z","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":"2026-08-04T00:03:47.690523Z","title":"Jaffe,A Simple model for the distribution of light in spherical galaxies,Mon","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.690523Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:db0d335f565eb4c3e8fb0c68174e36ed38a4d6e0ca152b2f097ab1bda526c41c","observation_id":"8676e0e4-6406-4b2c-96d1-88f3187c0d47","resolution":{"observed_at":"2026-08-04T00:03:47.690523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9309044","last_updated":"1993-09-28T18:10:10Z","snapshot_observed_at":"2026-08-21T00:40:01.860371Z","submitted_at":"1993-09-28T18:10:10Z","title":"A Family of Models for Spherical Stellar Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9309044","snapshot_observed_at":"2026-08-04T00:03:47.746339Z","title":"Tremaine, D","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.746339Z"},"links":{"cited_paper":"/paper/astro-ph/9309044","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ef23c6166d3ed3bbef6cfc7752cb78d3d050040d3cd4bfe89555818667af9d3b","observation_id":"da5a36e5-8bf3-4492-a008-0c02911e04c2","resolution":{"observed_at":"2026-08-04T00:03:47.746339Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1402.7073","last_updated":"2014-04-29T14:14:50Z","snapshot_observed_at":"2026-08-19T18:11:29.036923Z","submitted_at":"2014-02-27T21:00:01Z","title":"Cold dark matter haloes in the Planck era: evolution of structural parameters for Einasto and NFW profiles","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1402.7073","snapshot_observed_at":"2026-08-04T00:03:47.811721Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.811721Z"},"links":{"cited_paper":"/paper/1402.7073","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:6f25ecb22fd0883ebc9694f1d0afca47e168461eb125aec7b29bad088ff4c8e8","observation_id":"fa6bec13-bc40-4d5d-aa08-fe6d05fd9fce","resolution":{"observed_at":"2026-08-04T00:03:47.811721Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0509417","last_updated":"2006-08-29T06:25:17Z","snapshot_observed_at":"2026-07-07T00:53:53.176708Z","submitted_at":"2005-09-15T02:56:53Z","title":"Empirical models for Dark Matter Halos. I. Nonparametric Construction of Density Profiles and Comparison with Parametric Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0509417","snapshot_observed_at":"2026-08-04T00:03:47.882985Z","title":null,"venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.882985Z"},"links":{"cited_paper":"/paper/astro-ph/0509417","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:4fbdcee9485ddc693a79e153bfc6f41321d67ca3eff4ab588e9f6beb8f6c7721","observation_id":"dbc5b363-dba1-4dbc-9374-e6f07516d1e3","resolution":{"observed_at":"2026-08-04T00:03:47.882985Z","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":"2026-08-04T00:03:47.954486Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:47.954486Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:48df4bb763e63764b4f04dafc74471959751dcca32ea65579eef4a277a5c506a","observation_id":"ba0f705e-bef0-4242-bb7d-eac9ea1051b8","resolution":{"observed_at":"2026-08-04T00:03:47.954486Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1105.2996","last_updated":"2011-05-16T02:52:17Z","snapshot_observed_at":"2026-08-18T20:36:45.222115Z","submitted_at":"2011-05-16T02:52:17Z","title":"Bose-Einstein condensation of dark matter solves the core/cusp problem","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1105.2996","snapshot_observed_at":"2026-08-04T00:03:48.026297Z","title":"Harko,Bose-Einstein condensation of dark matter solves the core/cusp problem,JCAP05 (2011) 022, [1105.2996]","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.026297Z"},"links":{"cited_paper":"/paper/1105.2996","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:695b2bac3167d6f7a11882d2d875ea624d4278a283e8ae326d66f403e09cacd2","observation_id":"8cdb7ba0-04c0-4332-b176-39c14969eb76","resolution":{"observed_at":"2026-08-04T00:03:48.026297Z","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":"2026-08-04T00:03:48.078858Z","title":null,"venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.078858Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:9f433f0fe5ee035f84a36d9fcdff56b3a58f57478f02be1c4beeba7774e930ce","observation_id":"f4ec0c95-497b-4396-b8b1-c8852565b17d","resolution":{"observed_at":"2026-08-04T00:03:48.078858Z","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":"2026-08-04T00:03:48.190976Z","title":"Dehnen,A family of potential-density pairs for spherical galaxies and bulges,Mon","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.190976Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:2a9b8fb1236c214ecb3ec4da9eb4471ff2f76198b50f77198efdacc015f61d67","observation_id":"a712d762-bc64-415f-a894-ad267c386862","resolution":{"observed_at":"2026-08-04T00:03:48.190976Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2105.09510","last_updated":"2021-07-23T14:43:55Z","snapshot_observed_at":"2026-08-16T18:23:29.935217Z","submitted_at":"2021-05-20T04:35:40Z","title":"The bound mass of Dehnen models with centrally peaked star formation efficiency","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2105.09510","snapshot_observed_at":"2026-08-04T00:03:48.259776Z","title":"Shukirgaliyev, A","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.259776Z"},"links":{"cited_paper":"/paper/2105.09510","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:6f5a43ecc3625210824757d2aa16e55ebb6f7d2941d2c2b6e7949e7b1088df76","observation_id":"b20ff812-347b-402f-ab81-1600b0ab0e68","resolution":{"observed_at":"2026-08-04T00:03:48.259776Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2411.01145","last_updated":"2024-11-02T05:39:05Z","snapshot_observed_at":"2026-08-16T13:03:37.301562Z","submitted_at":"2024-11-02T05:39:05Z","title":"Schwarzschild Black Hole in Galaxies Surrounded by a Dark Matter Halo","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.01145","snapshot_observed_at":"2026-08-04T00:03:48.328384Z","title":"Al-Badawi, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.328384Z"},"links":{"cited_paper":"/paper/2411.01145","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:5d85cc967d3a74e9d39709ae53f55523c97649cd3cfd0820f42ce36ebbcb4b52","observation_id":"5666c7eb-811f-433b-a840-6a5dad874ab4","resolution":{"observed_at":"2026-08-04T00:03:48.328384Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.05236","last_updated":"2025-04-07T16:20:10Z","snapshot_observed_at":"2026-08-20T18:48:47.708901Z","submitted_at":"2025-04-07T16:20:10Z","title":"Gravitational waveforms from periodic orbits around a Schwarzschild black hole embedded in a Dehnen-type dark matter halo","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.05236","snapshot_observed_at":"2026-08-04T00:03:48.384889Z","title":"Alloqulov, T","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.384889Z"},"links":{"cited_paper":"/paper/2504.05236","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:1637c86a9d822aeb68531282f2e344ab9f8671255f87e76c5f2e414c94d6e643","observation_id":"dd6e6246-ca01-4912-9238-bd568784665e","resolution":{"observed_at":"2026-08-04T00:03:48.384889Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.15540","last_updated":"2025-05-21T14:03:30Z","snapshot_observed_at":"2026-08-17T23:53:36.712965Z","submitted_at":"2025-05-21T14:03:30Z","title":"Quasinormal Modes of Schwarzschild Black Holes in the Dehnen-(1, 4, 5/2) Type Dark Matter Halos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.15540","snapshot_observed_at":"2026-08-04T00:03:48.463437Z","title":"Liang, D","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.463437Z"},"links":{"cited_paper":"/paper/2505.15540","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:bb0c1d701db7f47a0946b2c0fab870dca822eb85a8063f6d237fc73dc290932a","observation_id":"96fcf334-e6b4-4d6d-b309-af3df2fee03e","resolution":{"observed_at":"2026-08-04T00:03:48.463437Z","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":"2026-08-04T00:03:48.525999Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.525999Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:a147637a9ad493e0641b8ad9414b6e638e83bec50e63566788ad16d533abff92","observation_id":"0743ee77-3f57-4995-8b81-9247c283e15c","resolution":{"observed_at":"2026-08-04T00:03:48.525999Z","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":"2026-08-04T00:03:48.594260Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.594260Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:553dd74c8a7c9d78726a9f6d77e7c60ea6c64d725d5c8e917e2f4da76cd4f95d","observation_id":"2faa4e51-c3c1-4df9-a0bf-1da1b5dfaad3","resolution":{"observed_at":"2026-08-04T00:03:48.594260Z","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":"2026-08-04T00:03:48.698151Z","title":"Xamidov, S","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.698151Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:f71900765ac2f82315b4f3aaf859495079629ca63ff57b16513d38e51dc76dad","observation_id":"e53fa2c7-1efd-4cb4-bd90-fa17ddabc1b4","resolution":{"observed_at":"2026-08-04T00:03:48.698151Z","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":"2026-08-04T00:03:48.765103Z","title":"Ashoorioon, R","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.765103Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:3fec17e7ff75089ac878d76485fc7d6d37cd00000f748c755f932d0577f3a0d8","observation_id":"5cc47033-e632-4242-8bcc-5d7989938126","resolution":{"observed_at":"2026-08-04T00:03:48.765103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0504422","last_updated":"2005-04-19T19:47:40Z","snapshot_observed_at":"2026-08-14T12:46:34.709462Z","submitted_at":"2005-04-19T19:47:40Z","title":"Dark Matter Dynamics and Indirect Detection","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0504422","snapshot_observed_at":"2026-08-04T00:03:48.839477Z","title":"Bertone and D","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.839477Z"},"links":{"cited_paper":"/paper/astro-ph/0504422","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:bd3ddff5f22ea7afa5f945f153a86a7e801f46ed1f7afd7ae18e2b567d44beb8","observation_id":"14527481-9444-47d1-b143-d472872aff96","resolution":{"observed_at":"2026-08-04T00:03:48.839477Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/9906391","last_updated":"1999-06-24T17:21:14Z","snapshot_observed_at":"2026-08-06T04:32:21.476097Z","submitted_at":"1999-06-24T17:21:14Z","title":"Dark matter annihilation at the galactic center","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/9906391","snapshot_observed_at":"2026-08-04T00:03:48.908799Z","title":"Gondolo and J","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.908799Z"},"links":{"cited_paper":"/paper/astro-ph/9906391","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:f302f61cfae6db16e3bf33bcdb1dd65895ad903a13597e3b26fb3d5d27f6da92","observation_id":"e754a713-ac8f-44c7-bc57-1dedaa003d64","resolution":{"observed_at":"2026-08-04T00:03:48.908799Z","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":"2026-08-04T00:03:48.975710Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:48.975710Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:f1954cf745ff404e543b96e824d22823a6f5d6f44e2e3af39452d8a3997aa151","observation_id":"014a6ffe-860c-4099-9734-436b6d1ba929","resolution":{"observed_at":"2026-08-04T00:03:48.975710Z","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":"2026-08-04T00:03:49.059500Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.059500Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:0cfd152d069467c79e2a0d0406d9e3a6357b5ed19dd6eb570cced98d20b04ef9","observation_id":"47f32318-ac4d-4008-bac4-22d6e7d9db0b","resolution":{"observed_at":"2026-08-04T00:03:49.059500Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.00767","last_updated":"2018-04-24T11:22:45Z","snapshot_observed_at":"2026-08-14T19:40:22.089302Z","submitted_at":"2018-03-02T09:15:45Z","title":"Black Hole Space-time In Dark Matter Halo","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.00767","snapshot_observed_at":"2026-08-04T00:03:49.219556Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.219556Z"},"links":{"cited_paper":"/paper/1803.00767","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:9964a2c795136f2d587e1b8eaec2579943d28ffd9a3e37c7aabe28f51884e2b4","observation_id":"1ac481bd-60cc-41fe-a689-ce4934add691","resolution":{"observed_at":"2026-08-04T00:03:49.219556Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0303594","last_updated":"2003-03-26T23:03:50Z","snapshot_observed_at":"2026-08-05T06:22:13.400351Z","submitted_at":"2003-03-26T23:03:50Z","title":"The general relativistic geometry of the Navarro-Frenk-White model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0303594","snapshot_observed_at":"2026-08-04T00:03:49.411664Z","title":"Matos and D","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.411664Z"},"links":{"cited_paper":"/paper/astro-ph/0303594","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:44192599b72018934a1a36718e1972f516e7979633471973c17456b47e1d8825","observation_id":"be5b3ebf-64d4-4c1e-a2b6-badf3f2afc68","resolution":{"observed_at":"2026-08-04T00:03:49.411664Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1405.2569","last_updated":"2014-09-24T06:27:31Z","snapshot_observed_at":"2026-08-21T17:02:53.765534Z","submitted_at":"2014-05-11T18:57:18Z","title":"Generating rotating regular black hole solutions without complexification","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1405.2569","snapshot_observed_at":"2026-08-04T00:03:49.599232Z","title":"Azreg-A ¨ ınou,Generating rotating regular black hole solutions without complexification, Phys","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.599232Z"},"links":{"cited_paper":"/paper/1405.2569","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:9eb865c3fd0a8265f35b5aa02dfffd5518579e1a099691cf5db110163969d888","observation_id":"d7acc124-ccae-47fe-9455-b245c8212663","resolution":{"observed_at":"2026-08-04T00:03:49.599232Z","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":"2026-08-04T00:03:49.670941Z","title":"Shakeshaft,The formation and dynamics of galaxies (International Astronomical Union Symposia, 58)","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.670941Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:545c5803ad590bc5ddbbad1625ee8ac9c3559cf5a5dbd3916408c9f1b369da68","observation_id":"535a819d-88a2-4493-84ab-1bab4e7e5190","resolution":{"observed_at":"2026-08-04T00:03:49.670941Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0003398","last_updated":"2000-06-24T17:04:38Z","snapshot_observed_at":"2026-08-16T18:39:05.457397Z","submitted_at":"2000-03-26T17:47:25Z","title":"Spherical Scalar Field Halo in Galaxies","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0003398","snapshot_observed_at":"2026-08-04T00:03:49.724561Z","title":"Matos, F","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.724561Z"},"links":{"cited_paper":"/paper/astro-ph/0003398","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:2f9f0f1642f7443de7cc8775210d119dbcf432bcd71228dea718733d6b11bf4e","observation_id":"1c6d29b0-3cb2-4fd1-8169-6e61afdb55f8","resolution":{"observed_at":"2026-08-04T00:03:49.724561Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"astro-ph/0402157","last_updated":"2004-02-06T18:22:34Z","snapshot_observed_at":"2026-08-09T05:30:09.544507Z","submitted_at":"2004-02-06T18:22:34Z","title":"The spacetime associated with galactic dark matter halos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"astro-ph/0402157","snapshot_observed_at":"2026-08-04T00:03:49.795074Z","title":"Matos, D","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.795074Z"},"links":{"cited_paper":"/paper/astro-ph/0402157","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:af765d0aa5654a03c8cde0415fd8bafbc6ecb24a7467a4946d751fa40fe42709","observation_id":"e6380acf-5466-4bbb-a4ea-bf9e5240b243","resolution":{"observed_at":"2026-08-04T00:03:49.795074Z","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":"2026-08-04T00:03:49.841312Z","title":"Padmanabhan,Gravitation: Foundations and frontiers","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.841312Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:ec455d7e3f66ab1eff2ba11e20ce00ee716a26d2f8dc456b5aa967c9540681a5","observation_id":"9b80487e-d27b-45d8-9081-67f3e0348ecd","resolution":{"observed_at":"2026-08-04T00:03:49.841312Z","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":"2026-08-04T00:03:49.922700Z","title":"Painleve,La mecanique classique et la theorie de relativite,C.R","venue":null,"work_id":null,"year":1921},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.922700Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:c7f8c61427f350a23d4cc02bf9bf5faf5214611e7e84ee0d3567eae0db6a66cc","observation_id":"729375e4-3b3a-4c85-ab9a-a76d3f1b9e7b","resolution":{"observed_at":"2026-08-04T00:03:49.922700Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0001069","last_updated":"2000-10-18T14:27:28Z","snapshot_observed_at":"2026-08-20T17:55:17.063335Z","submitted_at":"2000-01-22T18:06:30Z","title":"Regular coordinate systems for Schwarzschild and other spherical spacetimes","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"gr-qc/0001069","snapshot_observed_at":"2026-08-04T00:03:49.986821Z","title":"Martel and E","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:49.986821Z"},"links":{"cited_paper":"/paper/gr-qc/0001069","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:874c2d85683cb83a43b48fadcf9ac7a154782f9eb9239f52e2415671e31ffc2b","observation_id":"7b59990c-8492-4256-be6b-65e4ac8e3476","resolution":{"observed_at":"2026-08-04T00:03:49.986821Z","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":"2026-08-04T00:03:50.057965Z","title":null,"venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.057965Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:b03dd782a1cb8022375105a17e8ebcde95cc0ffb33e0f4fb843aa6f3b395d4f1","observation_id":"bc93df4a-7857-4035-b719-867620affe99","resolution":{"observed_at":"2026-08-04T00:03:50.057965Z","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":"2026-08-04T00:03:50.108555Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.108555Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:88520fde0bc8020491b057b45ecb59c169217b6f805592dff275905fa96cf0ee","observation_id":"9ecc1476-e491-4df8-8cc9-f08f104bdd21","resolution":{"observed_at":"2026-08-04T00:03:50.108555Z","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":"2026-08-04T00:03:50.167327Z","title":null,"venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.167327Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:4c8288244a26157b5ff6765803c0729c7eb24a0654c7064a28f52988b132940f","observation_id":"6cd41d56-3af5-4629-b66b-99c6abcd7da0","resolution":{"observed_at":"2026-08-04T00:03:50.167327Z","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":"2026-08-04T00:03:50.233885Z","title":"Sandri,Numerical calculation of Lyapunov Exponents","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.233885Z"},"links":{"citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:00e2f3b74babcd06fea9bf096076912b5b8c23cf9034a83e2670ef994e83589d","observation_id":"3d621bc8-48d3-457a-93e6-25948c609221","resolution":{"observed_at":"2026-08-04T00:03:50.233885Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1503.01409","last_updated":"2015-03-04T18:37:55Z","snapshot_observed_at":"2026-08-14T22:57:39.939874Z","submitted_at":"2015-03-04T18:37:55Z","title":"A bound on chaos","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1503.01409","snapshot_observed_at":"2026-08-04T00:03:50.290695Z","title":"Maldacena, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.290695Z"},"links":{"cited_paper":"/paper/1503.01409","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:599cd56a373b52137dd7f110853ad545b274ba65305e4d075498fbc26ea6824f","observation_id":"41a15495-7e5f-4cfe-a505-19a0c890d260","resolution":{"observed_at":"2026-08-04T00:03:50.290695Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07298","last_updated":"2022-03-14T17:05:11Z","snapshot_observed_at":"2026-08-16T17:14:42.154633Z","submitted_at":"2022-03-14T17:05:11Z","title":"Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2203.07298","snapshot_observed_at":"2026-08-04T00:03:50.416553Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.416553Z"},"links":{"cited_paper":"/paper/2203.07298","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:d6c73b37119c145180cfc1edbdec76af51b65a13b59007313f31ee1eb7bf92be","observation_id":"46ec41f5-8871-42d3-b14e-992e50d20f61","resolution":{"observed_at":"2026-08-04T00:03:50.416553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1809.04616","last_updated":"2018-09-12T18:03:12Z","snapshot_observed_at":"2026-08-21T20:09:07.782172Z","submitted_at":"2018-09-12T18:03:12Z","title":"Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1809.04616","snapshot_observed_at":"2026-08-04T00:03:50.479565Z","title":"Zhao, Y.-Z","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.479565Z"},"links":{"cited_paper":"/paper/1809.04616","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:93ed2a07024b4599b486cb3d24fc295e388018906e6651a14d8970414c6afbe9","observation_id":"eabc5197-9180-4cd2-b317-496593cd5fc1","resolution":{"observed_at":"2026-08-04T00:03:50.479565Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.06089","last_updated":"2022-03-15T07:23:13Z","snapshot_observed_at":"2026-08-19T14:16:03.868561Z","submitted_at":"2021-11-11T07:51:55Z","title":"Circular Motion of Charged Particles near Charged Black Hole","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.06089","snapshot_observed_at":"2026-08-04T00:03:50.616616Z","title":"Lei and X.-H","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.616616Z"},"links":{"cited_paper":"/paper/2111.06089","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:83089c12770147e1bd79b452081d74d18ac750eec8117e439a13715330822a7e","observation_id":"6fbada43-fec3-4c94-9c4d-4709bdb1c45f","resolution":{"observed_at":"2026-08-04T00:03:50.616616Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.07341","last_updated":"2022-01-10T15:22:53Z","snapshot_observed_at":"2026-08-16T17:56:24.360148Z","submitted_at":"2021-09-15T14:53:28Z","title":"Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.07341","snapshot_observed_at":"2026-08-04T00:03:50.685320Z","title":"Kan and B","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.685320Z"},"links":{"cited_paper":"/paper/2109.07341","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:e352a2f3010d32ee6af96ef22d02a7dff8da041e78866994423937487113713e","observation_id":"ac37df47-9024-4281-a13d-b98e71d66e7d","resolution":{"observed_at":"2026-08-04T00:03:50.685320Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2103.16856","last_updated":"2021-03-31T07:11:18Z","snapshot_observed_at":"2026-08-18T09:14:32.152088Z","submitted_at":"2021-03-31T07:11:18Z","title":"Chaotic Solutions and Black Hole Shadow in $f(R)$ gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.16856","snapshot_observed_at":"2026-08-04T00:03:50.764481Z","title":"Addazi, S","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.764481Z"},"links":{"cited_paper":"/paper/2103.16856","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:093c529e3d97a608a3466b498bafbbcf8954271e5234bd254580a8af983f578e","observation_id":"f8b27480-75b9-4ec0-afc2-9bfe8c0219a0","resolution":{"observed_at":"2026-08-04T00:03:50.764481Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.01956","last_updated":"2023-03-03T14:30:37Z","snapshot_observed_at":"2026-08-16T15:51:02.481606Z","submitted_at":"2023-03-03T14:30:37Z","title":"Black hole shadow and chaos bound violation in $f(T)$ teleparallel gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.01956","snapshot_observed_at":"2026-08-04T00:03:50.820393Z","title":"Addazi and S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.820393Z"},"links":{"cited_paper":"/paper/2303.01956","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:27933bc836a1e33703ba21e55bf3b901099b67d9c33bc377941a4c0d10fc331e","observation_id":"52aa4c84-08ee-4880-b012-160b6b54907a","resolution":{"observed_at":"2026-08-04T00:03:50.820393Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.12629","last_updated":"2020-05-21T09:38:58Z","snapshot_observed_at":"2026-08-20T07:42:11.817052Z","submitted_at":"2019-12-29T11:06:55Z","title":"Testing the equivalence principle via the shadow of black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1912.12629","snapshot_observed_at":"2026-08-04T00:03:50.936715Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:50.936715Z"},"links":{"cited_paper":"/paper/1912.12629","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:addce0fb452367575a2680dc9550f8bd828cd0bd360095f71b39c5491ec9e1e4","observation_id":"5e15d868-7381-4c9a-8d9a-34746b422313","resolution":{"observed_at":"2026-08-04T00:03:50.936715Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1511.07586","last_updated":"2016-09-08T17:34:46Z","snapshot_observed_at":"2026-08-15T23:14:20.744854Z","submitted_at":"2015-11-24T06:36:47Z","title":"f(T) teleparallel gravity and cosmology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.07586","snapshot_observed_at":"2026-08-04T00:03:51.003312Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos","version":2},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-04T00:03:51.003312Z"},"links":{"cited_paper":"/paper/1511.07586","citing_paper":"/paper/2511.03657"},"observation_digest":"sha256:6e7948250f0a887d675c5a2ccf7fb1ad8fac7d8caf8a91fee918f80dd04dfb33","observation_id":"6e18ae23-a1b8-4eb5-a16c-a523152d9e82","resolution":{"observed_at":"2026-08-04T00:03:51.003312Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2511.03657","last_updated":"2026-05-28T16:10:27Z","latest_version":2,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-06T10:10:17.487975Z","submitted_at":"2025-11-05T17:13:23Z","title":"Extreme-Mass-Ratio Inspirals Embedded in Dark Matter Halo: Existence of Homoclinic Orbit and Horizon-Induced Chaos"},"reference_resolution":{"displayed":85,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":85,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":85},"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":"2026-08-21T06:32:19.484+00:00","source":"crossref"},{"observed_at":"2026-08-21T06:32:16.066871+00:00","source":"retraction_watch"}],"thesis":"As of 22 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 4 inbound Pith citation observations for arXiv:2511.03657."}