{"as_of":"2026-08-08T14:39:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b586e0ed3cf56775fcaa44ba2f9e3d7f81832d6be9e16f05291fbe43fed85ed6","coverage":[{"denominator":100,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":100,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T13:55:24.896391Z","state":"measured"},{"denominator":107,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":107,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":7,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T05:46:10.155737Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T04:06:35.666435Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-08-05T05:46:10.155737Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.05103","last_updated":"2026-07-31T03:45:44Z","snapshot_observed_at":"2026-08-08T04:04:32.348268Z","submitted_at":"2025-09-05T13:39:55Z","title":"Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-05T05:46:10.155737Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2509.05103"},"observation_digest":"sha256:9d21d77a811613db0a7c7b4dc5e4b6069835fb6dbaa48be8d1060c0d0260bca3","observation_id":"02d132cd-9a16-4f9d-a80e-3bf1566dcbeb","resolution":{"observed_at":"2026-08-05T05:46:10.155737Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":"2505.20800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-07-02T04:06:35.666435Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","venue":null,"work_id":"b2ac1461-ce75-468c-bf60-57c9add9cac0","year":2025},"citing_paper":{"arxiv_id":"2601.09801","last_updated":"2026-04-28T13:42:45Z","snapshot_observed_at":"2026-07-06T22:41:43.594456Z","submitted_at":"2026-01-14T19:08:01Z","title":"Probing the Chaos to Integrability Transition in Double-Scaled SYK","version":2},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-05-16T14:15:15.772460Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2601.09801"},"observation_digest":"sha256:942f0b1c15411f1045856e0301d998556e95eca2bb8a343de7b1598d1c864af0","observation_id":"eea4b781-cacf-486a-8181-02d52face3f5","resolution":{"observed_at":"2026-05-16T14:17:59.302149Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":"2505.20800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-07-02T04:06:35.666435Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","venue":null,"work_id":"b2ac1461-ce75-468c-bf60-57c9add9cac0","year":2025},"citing_paper":{"arxiv_id":"2604.08315","last_updated":"2026-07-31T07:44:27Z","snapshot_observed_at":"2026-08-07T12:33:37.996605Z","submitted_at":"2026-04-09T14:48:39Z","title":"Unifying topological, geometric, and complex classifications of black hole thermodynamics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T16:53:14.107271Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2604.08315"},"observation_digest":"sha256:33304573f21943823e0f04a550988adbd212908288baa4faf26907538d916f09","observation_id":"3a33b3b8-657f-41d7-9201-b8f69c1f4144","resolution":{"observed_at":"2026-05-11T07:56:01.025893Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-08-03T02:31:09.526256Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2604.08315","last_updated":"2026-07-31T07:44:27Z","snapshot_observed_at":"2026-08-07T12:33:37.996605Z","submitted_at":"2026-04-09T14:48:39Z","title":"Unifying topological, geometric, and complex classifications of black hole thermodynamics","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T02:31:09.526256Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2604.08315"},"observation_digest":"sha256:ef41c33c619013e85b72995c6dfeb42dbbf0071d392032b95fd6eff265575106","observation_id":"2f44eb2f-6c71-4996-b2eb-396cc519f4b5","resolution":{"observed_at":"2026-08-03T02:31:09.526256Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":"2505.20800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-07-02T04:06:35.666435Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","venue":null,"work_id":"b2ac1461-ce75-468c-bf60-57c9add9cac0","year":2025},"citing_paper":{"arxiv_id":"2604.25495","last_updated":"2026-04-28T10:55:00Z","snapshot_observed_at":"2026-07-06T23:11:21.433834Z","submitted_at":"2026-04-28T10:55:00Z","title":"Phase Transitions and Chaos Bound in Horava Lifshitz Black Holes using Lyapunov Exponents","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-05-07T15:54:31.735078Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2604.25495"},"observation_digest":"sha256:ac686ce919cb5edf60844c48e4975d848cdcc76e0555e4fa50cc8f2e7c80e071","observation_id":"fa4361ce-a954-4c64-9581-f1e8bb412143","resolution":{"observed_at":"2026-05-12T00:01:16.509025Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":"2505.20800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-07-02T04:06:35.666435Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","venue":null,"work_id":"b2ac1461-ce75-468c-bf60-57c9add9cac0","year":2025},"citing_paper":{"arxiv_id":"2605.15655","last_updated":"2026-05-15T06:24:27Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-05-15T06:24:27Z","title":"Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-20T18:15:48.825883Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2605.15655"},"observation_digest":"sha256:a66b1a01181463b36f7dffd29e9e47c5008350a6f47787c7f04464ee8d077843","observation_id":"9059715e-8fa5-41ce-b422-8e97bcd3bc6c","resolution":{"observed_at":"2026-05-20T18:18:52.498966Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"cited_work":{"arxiv_id":"2505.20800","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2505.20800","snapshot_observed_at":"2026-07-02T04:06:35.666435Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","venue":null,"work_id":"b2ac1461-ce75-468c-bf60-57c9add9cac0","year":2025},"citing_paper":{"arxiv_id":"2606.03045","last_updated":"2026-06-02T02:29:50Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2026-06-02T02:29:50Z","title":"Off-shell Hessian thermodynamic stability of higher-curvature black holes","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-06-28T09:22:48.622328Z"},"links":{"cited_paper":"/paper/2505.20800","citing_paper":"/paper/2606.03045"},"observation_digest":"sha256:da4c14909edbb7130d52df525845d73ff5c03aeb17644771dcbeecb1fe88f6c3","observation_id":"52749835-4445-4eba-90fb-ad017e972fec","resolution":{"observed_at":"2026-07-02T04:06:35.668325Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.20800/citation-record","integrity":"/paper/2505.20800/integrity","json":"/paper/2505.20800/citation-record.json","paper":"/paper/2505.20800"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:16.317224Z","title":"Gravitational radiation from colliding black holes,","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.317224Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f4d1c71704db070dd6cef49016caebdfb96130d28d45ccba63234c673db9a78f","observation_id":"170c6cbf-2cb1-42fd-9e81-4987fb99df09","resolution":{"observed_at":"2026-08-07T13:55:16.317224Z","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":"2026-08-07T13:55:16.455400Z","title":"Bekenstein-Hawking entropy,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.455400Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:1d74e3601a79c2bb9010b0a0e672b127c9c0e76ff0c285772c76c4b30fc2abe8","observation_id":"808fc152-c64c-4aaf-af5f-023522bc5f85","resolution":{"observed_at":"2026-08-07T13:55:16.455400Z","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":"2026-08-07T13:55:16.631208Z","title":"Black hole explosions,","venue":null,"work_id":null,"year":1974},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.631208Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:0f2154a4960cd306fa2b73492ef35c61988fb95a9b7e17878aad2c497636beae","observation_id":"b595d2d5-420a-465a-945c-fa91bc080e09","resolution":{"observed_at":"2026-08-07T13:55:16.631208Z","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":"2026-08-07T13:55:15.979055Z","title":"˜r+c = 0.215966, ˜qc = 0.167433, ˜Tc = 0.227425 (32) The variation of the Hawking temperature with horizon radius for different values of ˜q is shown in Fig","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:15.979055Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:6f02a80e0355db9928463d9355a96ad86c41e83b6ca02c0196b1ab9dab4204ba","observation_id":"b2ff0412-f8fe-4e0b-b31a-46b7364b126e","resolution":{"observed_at":"2026-08-07T13:55:15.979055Z","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":"2026-08-07T13:55:16.036904Z","title":"In these cases, the temperature profile exhibits two turning points, indicating the presence of three distinct black hole branches","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.036904Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:c91591bd602b8ba36a8e9000abc5e9eeda3df62e2b0297364de7a1e68d7913a5","observation_id":"2f910837-e6a0-4232-bd44-f34c5539b448","resolution":{"observed_at":"2026-08-07T13:55:16.036904Z","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":"2026-08-07T13:55:16.090345Z","title":"The expression is too large and not quite intuitive so we just present its variation with the Hawking temperature","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.090345Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:c6d38e770c77e773dcca5f68ed315df9b86c51401bd6511a9338f92ad28ef925","observation_id":"d8fdea69-ce90-42fe-ab41-9eeb23561af4","resolution":{"observed_at":"2026-08-07T13:55:16.090345Z","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":"2026-08-07T13:55:17.092976Z","title":"Charged black holes and phase transitions,","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.092976Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:4738642b8f73195b0edeea2790dd74a1e029e58f893a60ece4a3f86d1241fe01","observation_id":"506a3c99-cd9a-40bc-b1ce-4916d7a5aadf","resolution":{"observed_at":"2026-08-07T13:55:17.092976Z","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":"2026-08-07T13:55:16.744529Z","title":"Particle Creation by Black Holes,","venue":null,"work_id":null,"year":1975},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.744529Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:525e1c01e305e1d895cf5aa59fa8cc8255cba87d461d8027bcd45e225de33a34","observation_id":"19a81753-c518-4732-817b-39729735a5c1","resolution":{"observed_at":"2026-08-07T13:55:16.744529Z","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":"2026-08-07T13:55:16.842462Z","title":"The Four laws of black hole mechanics,","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.842462Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:8a1d45abddfe8822c4330acbdc99d89a932e00ac7e506c82a0c7d313ca7e309b","observation_id":"e54068e5-8808-4268-b292-8860f1198021","resolution":{"observed_at":"2026-08-07T13:55:16.842462Z","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":"2026-08-07T13:55:16.971054Z","title":"Thermodynamics of Black Holes,","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.971054Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:262f275910cd5a0808c554197274e056498ad948a39c234badb1637366791a59","observation_id":"84587cab-18fb-4a97-9d9d-951b8dc4facb","resolution":{"observed_at":"2026-08-07T13:55:16.971054Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.6233","last_updated":"2013-08-10T02:25:29Z","snapshot_observed_at":"2026-08-07T04:02:59.788178Z","submitted_at":"2013-06-26T13:24:52Z","title":"P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.6233","snapshot_observed_at":"2026-08-07T13:55:17.301167Z","title":"P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.301167Z"},"links":{"cited_paper":"/paper/1306.6233","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:d4bf70f071b5c76348a813e7bac4f368b26dbf5a16add355572dfc82b906d2d2","observation_id":"c435d7bb-b2a6-4272-8bab-a8bcc97f76ba","resolution":{"observed_at":"2026-08-07T13:55:17.301167Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9711200","last_updated":"1998-01-22T15:42:41Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"1997-11-27T23:53:13Z","title":"The Large N Limit of Superconformal Field Theories and Supergravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9711200","snapshot_observed_at":"2026-08-07T13:55:17.148605Z","title":"The Large N limit of superconformal field theories and supergravity,","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.148605Z"},"links":{"cited_paper":"/paper/hep-th/9711200","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:befde67d01266bdcfdc78314f868b8474e5fa819016c57d12230e444cb012ad8","observation_id":"ac6b487e-0ea1-4e5e-acff-5037f965d638","resolution":{"observed_at":"2026-08-07T13:55:17.148605Z","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":"2026-08-07T13:55:16.189372Z","title":"Here the dots are the data points that we have calculated numerically and the solid coloured lines represent the fitted curves","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:16.189372Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:2705a8f32407d1ffd994f2d4d5c7e7e6d29fd950c3b832cc61847189c99d1b63","observation_id":"ab6eefae-e019-4065-81fe-850c95751ee9","resolution":{"observed_at":"2026-08-07T13:55:16.189372Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1205.0559","last_updated":"2012-09-06T17:50:27Z","snapshot_observed_at":"2026-07-06T02:47:26.606786Z","submitted_at":"2012-05-02T20:09:25Z","title":"P-V criticality of charged AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1205.0559","snapshot_observed_at":"2026-08-07T13:55:17.201534Z","title":"P-V criticality of charged AdS black holes,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.201534Z"},"links":{"cited_paper":"/paper/1205.0559","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:b7e1db5f9cb52e8f9a1939301f8251fea971c33ea2c3c406ac5244bfc447a8b3","observation_id":"1f758b2a-f5c7-46b1-82f9-1d67bcf59416","resolution":{"observed_at":"2026-08-07T13:55:17.201534Z","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":"2026-08-07T13:55:17.243151Z","title":"Thermodynamics of Black Holes in anti-De Sitter Space,","venue":null,"work_id":null,"year":1983},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.243151Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:3553b9db57652e70ffdfc4c84ad05503bf003526af2dfd911cfbf1710770c5f0","observation_id":"2bfbb2ee-0e2e-48b7-8c96-046cb337a4db","resolution":{"observed_at":"2026-08-07T13:55:17.243151Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0904.2765","last_updated":"2009-05-11T12:31:33Z","snapshot_observed_at":"2026-07-06T01:53:52.839980Z","submitted_at":"2009-04-17T19:07:41Z","title":"Enthalpy and the Mechanics of AdS Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0904.2765","snapshot_observed_at":"2026-08-07T13:55:17.404504Z","title":"Enthalpy and the Mechanics of AdS Black Holes,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.404504Z"},"links":{"cited_paper":"/paper/0904.2765","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:9183c082fc98ab4a65f70896da6fac6e8bb0eaca1390a2ee40078253d54b245b","observation_id":"034cc2b7-2a21-4dfe-a6ce-7d5393d947a6","resolution":{"observed_at":"2026-08-07T13:55:17.404504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1008.5023","last_updated":"2012-12-21T16:23:47Z","snapshot_observed_at":"2026-07-06T02:14:46.711078Z","submitted_at":"2010-08-30T08:41:58Z","title":"The cosmological constant and the black hole equation of state","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1008.5023","snapshot_observed_at":"2026-08-07T13:55:17.453940Z","title":"The cosmological constant and the black hole equation of state,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.453940Z"},"links":{"cited_paper":"/paper/1008.5023","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:2f2ab81b7dade97990fed4bce95981c4467e71d758255b2b5f7a3e7b2b8b7a21","observation_id":"8b780fe6-b9d6-4312-83ea-62b7a2e51eeb","resolution":{"observed_at":"2026-08-07T13:55:17.453940Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1106.6260","last_updated":"2011-11-11T12:53:34Z","snapshot_observed_at":"2026-08-06T23:28:24.837708Z","submitted_at":"2011-06-30T15:11:49Z","title":"Pressure and volume in the first law of black hole thermodynamics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1106.6260","snapshot_observed_at":"2026-08-07T13:55:17.482473Z","title":"Pressure and volume in the first law of black hole thermodynamics,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.482473Z"},"links":{"cited_paper":"/paper/1106.6260","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:3628582e893096c4129142bb5d617af2dc388779dd282260d47b46d0b8fa84b7","observation_id":"7091f7e6-5a5c-4ef5-810b-b493c6bfb937","resolution":{"observed_at":"2026-08-07T13:55:17.482473Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1109.0198","last_updated":"2011-12-08T09:43:52Z","snapshot_observed_at":"2026-08-04T20:18:31.082122Z","submitted_at":"2011-09-01T14:45:27Z","title":"Compressibility of rotating black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1109.0198","snapshot_observed_at":"2026-08-07T13:55:17.537524Z","title":"Compressibility of rotating black holes,","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.537524Z"},"links":{"cited_paper":"/paper/1109.0198","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:21661f0d814c439c70ee91317ffafb922238aa5edd766a05c630d53ae5bf66ab","observation_id":"46e064ad-1853-44d6-886d-5281bd4e1511","resolution":{"observed_at":"2026-08-07T13:55:17.537524Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.06147","last_updated":"2021-05-06T04:10:44Z","snapshot_observed_at":"2026-08-01T10:08:56.266742Z","submitted_at":"2016-08-22T12:32:49Z","title":"Black hole chemistry: thermodynamics with Lambda","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.06147","snapshot_observed_at":"2026-08-07T13:55:17.585113Z","title":"Black hole chemistry: thermodynamics with Lambda,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.585113Z"},"links":{"cited_paper":"/paper/1608.06147","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:845b71d52ecfd8fbcf83113c65ccad135df3411793460e00f794a175a6e3f7f9","observation_id":"a475d9ea-a6d5-48ac-b072-948ce55494d8","resolution":{"observed_at":"2026-08-07T13:55:17.585113Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1311.3053","last_updated":"2014-05-12T07:11:44Z","snapshot_observed_at":"2026-07-06T03:28:03.012593Z","submitted_at":"2013-11-13T09:20:18Z","title":"Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1311.3053","snapshot_observed_at":"2026-08-07T13:55:17.668772Z","title":"Gauss-Bonnet coupling constant as a free thermodynamical variable and the as- sociated criticality,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.668772Z"},"links":{"cited_paper":"/paper/1311.3053","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:54e0b219b7c2d46f7d68f116b1dfc0ae3853b791cd31f9ef38fc8f0d0792752f","observation_id":"c7f3d17f-3463-4ee7-8f71-953598321adf","resolution":{"observed_at":"2026-08-07T13:55:17.668772Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1405.7665","last_updated":"2014-08-18T13:31:14Z","snapshot_observed_at":"2026-07-06T03:45:01.662746Z","submitted_at":"2014-05-29T19:19:27Z","title":"Critical phenomena of static charged AdS black holes in conformal gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1405.7665","snapshot_observed_at":"2026-08-07T13:55:17.747008Z","title":"Critical phenomena of static charged AdS black holes in conformal gravity,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.747008Z"},"links":{"cited_paper":"/paper/1405.7665","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:1fc15f80e5748f3f8a077e836e0890a7624ebc2057c5207d48ae7392b59c445b","observation_id":"6df98403-04af-4f97-93de-36f8fbaec1b1","resolution":{"observed_at":"2026-08-07T13:55:17.747008Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.04101","last_updated":"2017-10-19T23:52:13Z","snapshot_observed_at":"2026-07-06T05:50:57.284929Z","submitted_at":"2017-07-12T07:07:01Z","title":"Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.04101","snapshot_observed_at":"2026-08-07T13:55:17.817146Z","title":"Reentrant phase transitions and triple points of topological AdS black holes in Born-Infeld-massive gravity,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.817146Z"},"links":{"cited_paper":"/paper/1707.04101","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:daf0042c87202529e1dc2c098d5a7f9e138fabf2a7d22eb17690285a85bfa21c","observation_id":"608b2918-922e-418c-a95b-93c0f40f4733","resolution":{"observed_at":"2026-08-07T13:55:17.817146Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1210.2011","last_updated":"2012-10-07T00:25:12Z","snapshot_observed_at":"2026-08-04T05:36:00.758309Z","submitted_at":"2012-10-07T00:25:12Z","title":"Thermodynamic curvature: pure fluids to black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1210.2011","snapshot_observed_at":"2026-08-07T13:55:17.905953Z","title":"Ruppeiner, Thermodynamic curvature: pure fluids to black holes, J","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:17.905953Z"},"links":{"cited_paper":"/paper/1210.2011","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:e2015d676e25dd71d5895c044d9737b159e8e380c9c9a5ed2017639da3e8952e","observation_id":"ab02bd0e-a6eb-47ce-a68d-a1e3b8e6619d","resolution":{"observed_at":"2026-08-07T13:55:17.905953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.01757","last_updated":"2019-03-22T08:02:32Z","snapshot_observed_at":"2026-07-06T06:07:50.557013Z","submitted_at":"2017-11-06T07:38:13Z","title":"Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.01757","snapshot_observed_at":"2026-08-07T13:55:18.004910Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.004910Z"},"links":{"cited_paper":"/paper/1711.01757","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:15a7dcc16b89615df657e4487a0e3e2994d39ef74da12d14ce7dec3aafc8038e","observation_id":"39c11483-6fc5-4aad-a0e6-0eea134f45f2","resolution":{"observed_at":"2026-08-07T13:55:18.004910Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1901.04703","last_updated":"2019-01-15T08:19:43Z","snapshot_observed_at":"2026-07-06T07:26:45.900273Z","submitted_at":"2019-01-15T08:19:43Z","title":"Microstructure and continuous phase transition of RN-AdS black hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1901.04703","snapshot_observed_at":"2026-08-07T13:55:18.077759Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.077759Z"},"links":{"cited_paper":"/paper/1901.04703","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:3c12a5f6bc26072adcfe747d2d83843c3c27f64a3b0f7078d18cb4e4349da110","observation_id":"9fc23d19-17d5-4ad0-9b66-c6a58fe5483c","resolution":{"observed_at":"2026-08-07T13:55:18.077759Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.03887","last_updated":"2019-12-23T02:34:50Z","snapshot_observed_at":"2026-07-06T08:20:12.880531Z","submitted_at":"2019-09-09T14:29:34Z","title":"Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.03887","snapshot_observed_at":"2026-08-07T13:55:18.185112Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.185112Z"},"links":{"cited_paper":"/paper/1909.03887","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:3e5827c7246539d1958d1793eee21fee56b34d25726d2298e4d830c9379062a3","observation_id":"5cdc207b-15d6-4d8b-b213-52087d978fa2","resolution":{"observed_at":"2026-08-07T13:55:18.185112Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.07874","last_updated":"2019-11-23T08:01:02Z","snapshot_observed_at":"2026-08-06T08:47:54.909703Z","submitted_at":"2019-10-17T13:03:09Z","title":"Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity","version":2},"cited_work":{"arxiv_id":"1910.07874","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.07874","snapshot_observed_at":"2026-08-07T13:55:29.604283Z","title":"Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity","venue":"gr-qc","work_id":"b8a13529-0f39-40ce-a782-08874021adad","year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.305721Z"},"links":{"cited_paper":"/paper/1910.07874","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:bd18934fffea73c45412213358c6edcb7a12a656a545123fe58c7fa3d84c7a07","observation_id":"469f13f8-3bde-4894-902b-23c6f0c6a9f3","resolution":{"observed_at":"2026-08-07T13:55:29.625380Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2006.07775","last_updated":"2020-08-12T14:06:02Z","snapshot_observed_at":"2026-07-06T09:28:50.024490Z","submitted_at":"2020-06-14T02:51:43Z","title":"Ruppeiner Geometry, Phase Transitions and Microstructures of Black Holes in Massive Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2006.07775","snapshot_observed_at":"2026-08-07T13:55:18.415139Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.415139Z"},"links":{"cited_paper":"/paper/2006.07775","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:a8f3279d72d04fe9c21a08d980975df06724d18654a690742cb2b933296eab82","observation_id":"6fc2d8f2-19e0-4a76-9555-c891d26e50ac","resolution":{"observed_at":"2026-08-07T13:55:18.415139Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2107.04504","last_updated":"2021-07-09T15:45:21Z","snapshot_observed_at":"2026-07-06T11:27:44.195713Z","submitted_at":"2021-07-09T15:45:21Z","title":"Novel relations in massive gravity at Hawking-Page transition","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2107.04504","snapshot_observed_at":"2026-08-07T13:55:18.509553Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.509553Z"},"links":{"cited_paper":"/paper/2107.04504","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:0f23a1ca4d1bf61c96c9ae4b824a9b3245b12b289fc3e4fa0ca06e6258b41649","observation_id":"f23e8924-3a15-4be9-a597-e5157fb54768","resolution":{"observed_at":"2026-08-07T13:55:18.509553Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.15151","last_updated":"2023-01-14T03:15:48Z","snapshot_observed_at":"2026-07-06T14:23:47.116494Z","submitted_at":"2022-11-28T09:03:10Z","title":"Topological classes of rotating black holes","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.15151","snapshot_observed_at":"2026-08-07T13:55:18.601498Z","title":"Wu, Topological classes of rotating black holes, Phys","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.601498Z"},"links":{"cited_paper":"/paper/2211.15151","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:96b2a0960f4327b2b0a0d4fee1c1c40f6538d9855025f66bc4f99ebac58ceb40","observation_id":"537baf00-9f59-4eaa-bbd9-cb38c5ee541b","resolution":{"observed_at":"2026-08-07T13:55:18.601498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.05524","last_updated":"2023-02-20T03:55:22Z","snapshot_observed_at":"2026-07-06T14:16:40.674342Z","submitted_at":"2022-11-10T12:37:04Z","title":"The topological natures of the Gauss-Bonnet black hole in AdS space","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.05524","snapshot_observed_at":"2026-08-07T13:55:18.693051Z","title":"Liu and J","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.693051Z"},"links":{"cited_paper":"/paper/2211.05524","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:ab3f7ed49c53031c8bdeda9c992c92a6ed168d7096af3ef0ba40aec8bd11652f","observation_id":"43df1b40-542f-4895-9440-5baf3fcbda84","resolution":{"observed_at":"2026-08-07T13:55:18.693051Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2211.12957","last_updated":"2022-11-27T07:47:38Z","snapshot_observed_at":"2026-08-06T18:10:25.708070Z","submitted_at":"2022-11-23T14:00:41Z","title":"Topological interpretation for phase transitions of black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2211.12957","snapshot_observed_at":"2026-08-07T13:55:18.847743Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.847743Z"},"links":{"cited_paper":"/paper/2211.12957","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:05809c83ae32b80e9c08d3c7f0fd258ecabe0e2b56bae5334fb0dd69e8ff0fac","observation_id":"69f6c7f4-2eed-425b-96c7-d479326958ad","resolution":{"observed_at":"2026-08-07T13:55:18.847743Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.05695","last_updated":"2023-04-12T08:36:15Z","snapshot_observed_at":"2026-08-05T02:34:54.609499Z","submitted_at":"2023-04-12T08:36:15Z","title":"Thermodynamic topology of 4D Dyonic AdS black holes in different ensembles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.05695","snapshot_observed_at":"2026-08-07T13:55:18.964202Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:18.964202Z"},"links":{"cited_paper":"/paper/2304.05695","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:88b95e6f6983449371b8b18e5396707117a68758debdbf048d4165e19a86ec1b","observation_id":"1877f854-5d41-4771-adc8-da1dfb4512af","resolution":{"observed_at":"2026-08-07T13:55:18.964202Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2306.11212","last_updated":"2024-05-12T10:23:41Z","snapshot_observed_at":"2026-07-06T15:44:23.779912Z","submitted_at":"2023-06-20T00:36:57Z","title":"Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2306.11212","snapshot_observed_at":"2026-08-07T13:55:19.013908Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.013908Z"},"links":{"cited_paper":"/paper/2306.11212","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:d4ebf996ea0343cbddf6137b7869899bfac421710c9e41a603538ebd65d7f0d0","observation_id":"33b88008-6385-4001-84f6-1418d5510be1","resolution":{"observed_at":"2026-08-07T13:55:19.013908Z","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":"2026-08-07T13:55:19.095052Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.095052Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:c921375ee9306abe151a6689277fb6e079e493494c7bf5c0adf977b4d40d62a9","observation_id":"3b1250a2-d602-49ac-839c-4cd5fd4c52a1","resolution":{"observed_at":"2026-08-07T13:55:19.095052Z","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":"2023.16948","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:29.424861Z","title":null,"venue":null,"work_id":"70652364-afe6-4fe3-bc1e-3e7e7d166fd2","year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.145367Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:8190b6c1670c8ae93e877fe4b84ac059d90546f6a64cad750feb980d801e40e9","observation_id":"6bea4ca2-98e7-4ce1-81e6-8e60f880b8fe","resolution":{"observed_at":"2026-08-07T13:55:29.440900Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2023.11636","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:29.278713Z","title":null,"venue":null,"work_id":"914b590a-9170-41b8-bccd-393c89c8ed16","year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.260217Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:bbb8f9a11b3eb4ca698c14d7d8ac74bf4e008c05f3876856d0e8c47beda5dcd3","observation_id":"d017c0e3-ce7c-4089-abeb-9d7184639548","resolution":{"observed_at":"2026-08-07T13:55:29.321057Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2208.10177","last_updated":"2022-08-29T09:55:32Z","snapshot_observed_at":"2026-08-06T05:08:21.043031Z","submitted_at":"2022-08-22T09:42:47Z","title":"Topology of black hole thermodynamics in Lovelock gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2208.10177","snapshot_observed_at":"2026-08-07T13:55:19.415834Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.415834Z"},"links":{"cited_paper":"/paper/2208.10177","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:d491dcbdbc5d4f91e7341f030735ef93ba4440eadde0eec533d8a4afd8fd1fac","observation_id":"f06bc4de-48a6-4dde-972b-9040b90282f0","resolution":{"observed_at":"2026-08-07T13:55:19.415834Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.10288","last_updated":"2022-05-30T07:24:54Z","snapshot_observed_at":"2026-08-04T17:38:58.908810Z","submitted_at":"2022-02-21T15:08:55Z","title":"Topology of black hole thermodynamics in Gauss-Bonnet gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.10288","snapshot_observed_at":"2026-08-07T13:55:19.529876Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.529876Z"},"links":{"cited_paper":"/paper/2202.10288","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:5207df53573c3eb4e9112787375b8a800885488310edaa965a9af0a7635a5c8a","observation_id":"4e19e0de-8a7b-45a9-b8e6-061c0d2d2ac0","resolution":{"observed_at":"2026-08-07T13:55:19.529876Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.06324","last_updated":"2023-12-11T12:14:41Z","snapshot_observed_at":"2026-08-05T16:49:04.845020Z","submitted_at":"2023-12-11T12:14:41Z","title":"Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.06324","snapshot_observed_at":"2026-08-07T13:55:19.675206Z","title":"Hazarika and P","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.675206Z"},"links":{"cited_paper":"/paper/2312.06324","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:be08d92ffe449fe58d7aa62faf1a2d8126ad351b8a2909eec329c54d6bc6f883","observation_id":"c9309986-e0e3-4aa3-9c45-80fbee131b82","resolution":{"observed_at":"2026-08-07T13:55:19.675206Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1405.2644","last_updated":"2014-09-06T07:18:00Z","snapshot_observed_at":"2026-07-06T03:43:23.931410Z","submitted_at":"2014-05-12T07:02:30Z","title":"Signature of the Van der Waals like small-large charged AdS black hole phase transition in quasinormal modes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1405.2644","snapshot_observed_at":"2026-08-07T13:55:19.823759Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.823759Z"},"links":{"cited_paper":"/paper/1405.2644","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:40cc799fd2fc155ced63a00f92446ae9379669e0b3d841eec97a267e197e1414","observation_id":"66a5f55e-17f8-41a3-ad2d-0276b46a8346","resolution":{"observed_at":"2026-08-07T13:55:19.823759Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1702.08118","last_updated":"2017-06-03T05:35:23Z","snapshot_observed_at":"2026-07-06T05:31:28.344521Z","submitted_at":"2017-02-27T01:05:33Z","title":"Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.08118","snapshot_observed_at":"2026-08-07T13:55:19.948047Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:19.948047Z"},"links":{"cited_paper":"/paper/1702.08118","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:c54f27b2676dbe4b8b0e4bcf38edba25997ebec4727fe9d861d612ae7bcd35bb","observation_id":"0af5e0d6-5e7c-442d-b3d8-4145950a1b8f","resolution":{"observed_at":"2026-08-07T13:55:19.948047Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2009.03096","last_updated":"2021-03-23T02:50:33Z","snapshot_observed_at":"2026-07-06T09:53:27.457079Z","submitted_at":"2020-09-07T13:32:37Z","title":"Phase transition and Quasinormal modes for Charged black holes in 4D Einstein-Gauss-Bonnet gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2009.03096","snapshot_observed_at":"2026-08-07T13:55:20.054083Z","title":"Zhang, C","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.054083Z"},"links":{"cited_paper":"/paper/2009.03096","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:e70299d79eb32fc46135e445f10f41e0597cf17c75748486594a9aa2880ec397","observation_id":"bde3fc8a-4a36-486a-8713-86fbc6cd539c","resolution":{"observed_at":"2026-08-07T13:55:20.054083Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1602.03007","last_updated":"2016-02-09T14:44:21Z","snapshot_observed_at":"2026-08-06T02:30:25.788844Z","submitted_at":"2016-02-09T14:44:21Z","title":"Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1602.03007","snapshot_observed_at":"2026-08-07T13:55:20.131487Z","title":"Mahapatra, Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections, JHEP 04, 142 (2016) doi:10.1007/JHEP04(2016)142 [arXiv:1602.03007 [hep-th]]","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.131487Z"},"links":{"cited_paper":"/paper/1602.03007","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:d2eadc97cf9bde5208f27a10b60c558c008cce492213321325ff6dbede1d898c","observation_id":"4b20616c-3885-420a-80d3-e07e69a03893","resolution":{"observed_at":"2026-08-07T13:55:20.131487Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1606.08524","last_updated":"2016-07-27T01:17:14Z","snapshot_observed_at":"2026-07-06T05:01:32.312212Z","submitted_at":"2016-06-28T00:42:02Z","title":"Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1606.08524","snapshot_observed_at":"2026-08-07T13:55:20.249629Z","title":"Chabab, H","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.249629Z"},"links":{"cited_paper":"/paper/1606.08524","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:07ee000410e0d4f1781eca29e9d7b6cdfda9d054aaa49a24b31db7050bb962a6","observation_id":"bdc9daa1-3f4f-46cd-b615-fc7b4ce98e8e","resolution":{"observed_at":"2026-08-07T13:55:20.249629Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.01522","last_updated":"2018-05-20T03:48:17Z","snapshot_observed_at":"2026-07-06T06:07:46.042790Z","submitted_at":"2017-11-05T03:00:08Z","title":"Photon orbits and thermodynamic phase transition of $d$-dimensional charged AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.01522","snapshot_observed_at":"2026-08-07T13:55:20.350512Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.350512Z"},"links":{"cited_paper":"/paper/1711.01522","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:eb6ebad81d5b92a45a2b1dbd5c4ca3b25b737191d46039aadbd4815411dc6829","observation_id":"0b4b0148-a40c-41eb-b687-56ff67a24ed2","resolution":{"observed_at":"2026-08-07T13:55:20.350512Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1807.03455","last_updated":"2019-02-11T19:52:55Z","snapshot_observed_at":"2026-07-06T06:49:17.367365Z","submitted_at":"2018-07-10T02:29:31Z","title":"Probing the relationship between the null geodesics and thermodynamic phase transition for rotating Kerr-AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1807.03455","snapshot_observed_at":"2026-08-07T13:55:20.428945Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.428945Z"},"links":{"cited_paper":"/paper/1807.03455","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:42374a20c59e0865bb9626675bce00138972dab44c8e4025f1b1bd1bf81c0729","observation_id":"dd3f3f0b-1584-4564-af79-1fc1f4d2b2d1","resolution":{"observed_at":"2026-08-07T13:55:20.428945Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1903.08293","last_updated":"2019-03-20T00:12:02Z","snapshot_observed_at":"2026-07-06T07:40:24.389388Z","submitted_at":"2019-03-20T00:12:02Z","title":"Circular orbit of a test particle and phase transition of a black hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.08293","snapshot_observed_at":"2026-08-07T13:55:20.479357Z","title":"Zhang, S","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.479357Z"},"links":{"cited_paper":"/paper/1903.08293","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:764d6f86758a14475f09df0b935a617c32dd16177fac9fc15a3352ac3a870424","observation_id":"10a80640-d782-49ac-94c9-c4e6c37eb2ee","resolution":{"observed_at":"2026-08-07T13:55:20.479357Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1909.07033","last_updated":"2020-08-27T13:46:29Z","snapshot_observed_at":"2026-07-06T08:21:59.704214Z","submitted_at":"2019-09-16T07:29:11Z","title":"Can shadows reflect phase structures of black holes?","version":5},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1909.07033","snapshot_observed_at":"2026-08-07T13:55:20.608050Z","title":"Zhang and M","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.608050Z"},"links":{"cited_paper":"/paper/1909.07033","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f5cdd57f8a4d0ba92e25c71cbef8fd67d5620358accb4b173e7f4d75423c450b","observation_id":"abea4c10-fa80-43d5-b014-0c725c71942b","resolution":{"observed_at":"2026-08-07T13:55:20.608050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2005.05893","last_updated":"2020-09-08T12:15:55Z","snapshot_observed_at":"2026-07-06T09:19:44.971207Z","submitted_at":"2020-04-29T14:44:17Z","title":"Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis","version":3},"cited_work":{"arxiv_id":"2005.05893","doi":null,"metadata_source":"pith","pith_arxiv_id":"2005.05893","snapshot_observed_at":"2026-08-07T13:55:28.974142Z","title":"Thermal Image and Phase Transitions of Charged AdS Black Holes using Shadow Analysis","venue":"gr-qc","work_id":"48003a17-b1e1-4743-9af6-03f6ceb74be6","year":2020},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.712834Z"},"links":{"cited_paper":"/paper/2005.05893","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:b0e1e9cc878a79e0435700d5ea9afbc76c142ef494dcefbfb18b0a4522fef06e","observation_id":"fffe8d8b-fefa-4742-8492-021aef947bf6","resolution":{"observed_at":"2026-08-07T13:55:29.038390Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:20.760456Z","title":null,"venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.760456Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:28fe57f629e042a306e5a930434fcd43b013ad6f671b20baffa2c7ea0240087a","observation_id":"b60917b0-b9dd-4936-a3c8-2a71dc48ba0e","resolution":{"observed_at":"2026-08-07T13:55:20.760456Z","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":"2026-08-07T13:55:20.807662Z","title":"Sandri, Numerical calculation of lyapunov exponents, Math","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.807662Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:e06c03ac995dbdaaaab121778272fad4ac2e6fc3aa90ca0b2b8b9ee356abbb4d","observation_id":"223b6929-8442-4f6a-bf94-4fb1c74db81b","resolution":{"observed_at":"2026-08-07T13:55:20.807662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1912.04326","last_updated":"2020-04-01T13:40:08Z","snapshot_observed_at":"2026-07-06T08:43:11.827804Z","submitted_at":"2019-12-09T19:11:04Z","title":"Phase transition and chaos in charged SYK model","version":3},"cited_work":{"arxiv_id":"1912.04326","doi":null,"metadata_source":"pith","pith_arxiv_id":"1912.04326","snapshot_observed_at":"2026-08-07T13:55:28.786903Z","title":"Phase transition and chaos in charged SYK model","venue":"hep-th","work_id":"6dfa2104-2222-4ced-8d19-22dc960c7d45","year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.853494Z"},"links":{"cited_paper":"/paper/1912.04326","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:be5ca54f2a59a5c2fc7190235fdfb34f548d3fa090e5c1c1d63ae68d596e70eb","observation_id":"0002a392-8f29-4ae2-8303-cdb977ea2c27","resolution":{"observed_at":"2026-08-07T13:55:28.921541Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2212.03265","last_updated":"2023-05-24T14:50:57Z","snapshot_observed_at":"2026-07-06T14:27:34.639236Z","submitted_at":"2022-12-06T19:00:02Z","title":"Quantum chaos and phase transition in the Yukawa-SYK model","version":2},"cited_work":{"arxiv_id":"2212.03265","doi":null,"metadata_source":"pith","pith_arxiv_id":"2212.03265","snapshot_observed_at":"2026-08-07T13:55:28.589849Z","title":"Quantum chaos and phase transition in the Yukawa-SYK model","venue":"cond-mat.str-el","work_id":"284b38b4-0aeb-4bbd-8f17-658d4c21de53","year":2022},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:20.915795Z"},"links":{"cited_paper":"/paper/2212.03265","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:5c41dce690d067a1a22b02d38a4882346e567d028ef76573a89be51b2fb40a92","observation_id":"f63433d2-ae99-484d-8e65-f7434bad4cff","resolution":{"observed_at":"2026-08-07T13:55:28.682891Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"cond-mat/0301273","last_updated":"2003-01-15T17:50:08Z","snapshot_observed_at":"2026-08-02T13:52:22.947789Z","submitted_at":"2003-01-15T17:50:08Z","title":"Chaos and the Quantum Phase Transition in the Dicke Model","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"cond-mat/0301273","snapshot_observed_at":"2026-08-07T13:55:21.003871Z","title":"Chaos and the quantum phase transition in the Dicke model,","venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.003871Z"},"links":{"cited_paper":"/paper/cond-mat/0301273","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:ad743a224eb756a967da7e15ea90a704ca317e898d07f4f2e9566284a2710628","observation_id":"c63c796a-2d9b-4421-bce7-421ad79a9bc0","resolution":{"observed_at":"2026-08-07T13:55:21.003871Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0807.1870","last_updated":"2008-12-30T22:39:54Z","snapshot_observed_at":"2026-07-06T01:41:41.210998Z","submitted_at":"2008-07-11T16:51:20Z","title":"Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators","version":4},"cited_work":{"arxiv_id":"0807.1870","doi":null,"metadata_source":"pith","pith_arxiv_id":"0807.1870","snapshot_observed_at":"2026-08-07T13:55:28.420066Z","title":"Phase Transitions and Chaos in Long-Range Models of Coupled Oscillators","venue":"cond-mat.stat-mech","work_id":"b1127e8d-be7f-4a8e-bb2a-b10be80c7fea","year":2008},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.059332Z"},"links":{"cited_paper":"/paper/0807.1870","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:30fccd8610d5171133a0fd4491be32afc6a82798ae9a3065c23708a5602677f4","observation_id":"c5817e72-01ec-4e57-82ae-985cd44a95f3","resolution":{"observed_at":"2026-08-07T13:55:28.501178Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:21.118055Z","title":"Transitional regions of finite Fermi systems and quantum chaos,","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.118055Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:a0df6c947bee4f51c42b8af35b0695bed7ced843fa6b268411fffa735ad05201","observation_id":"69bd6fc3-33b0-4081-9c9f-3168d3ef4d60","resolution":{"observed_at":"2026-08-07T13:55:21.118055Z","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":"2026-08-07T13:55:21.172088Z","title":"Chaos in static axisymmetric space-times. 1: Vacuum case,","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.172088Z"},"links":{"cited_paper":"/paper/gr-qc/9505036","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:345fdde00fd489f5133e98bd66ad9a15d01d8b4c531b0fe6e30af044363006d3","observation_id":"fe068d5f-fdb8-4169-a54f-c1fb75de9706","resolution":{"observed_at":"2026-08-07T13:55:21.172088Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"qc/9610065","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:28.275866Z","title":"Chaos in static axisymmetric space-times. 2. Nonvacuum case,","venue":null,"work_id":"0bd09cdc-687c-47ec-9adb-814165c96260","year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.222520Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:e63519544f7b1a46c7329679c83be49fe1dd4e509a750a872a01b433c4f1fb47","observation_id":"6c5bf26c-dbbc-4c58-a9f7-42e50fa4a0c0","resolution":{"observed_at":"2026-08-07T13:55:28.318587Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2109.07341","last_updated":"2022-01-10T15:22:53Z","snapshot_observed_at":"2026-08-05T18:41:27.008650Z","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":"2026-08-07T13:55:21.273121Z","title":"Bound on the Lyapunov exponent in Kerr-Newman black holes via a charged particle,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.273121Z"},"links":{"cited_paper":"/paper/2109.07341","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:87aa5199af1e1d670b5b9efd3953ed2f5ccb6ec264260999405909181ea29111","observation_id":"db6a2a89-b1f1-4fc0-aab8-52bce6484652","resolution":{"observed_at":"2026-08-07T13:55:21.273121Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"gr-qc/0610119","last_updated":"2006-10-25T13:45:06Z","snapshot_observed_at":"2026-07-07T03:23:09.672474Z","submitted_at":"2006-10-25T13:45:06Z","title":"Chaotic motion in multi-black hole spacetimes and holographic screens","version":1},"cited_work":{"arxiv_id":"gr-qc/0610119","doi":null,"metadata_source":"pith","pith_arxiv_id":"gr-qc/0610119","snapshot_observed_at":"2026-08-07T13:55:28.029322Z","title":"Chaotic motion in multi-black hole spacetimes and holographic screens","venue":"gr-qc","work_id":"595ffc10-7e16-4649-bcea-6ed1aa926133","year":2006},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.357032Z"},"links":{"cited_paper":"/paper/gr-qc/0610119","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:8799b9b1bf3ac44ff9c80c61e349e4d479e88f87b2a36f35ba58f0f8d47f2237","observation_id":"ba9532db-8a89-496c-abb2-10690ac87b15","resolution":{"observed_at":"2026-08-07T13:55:28.082695Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02140","last_updated":"2018-11-06T02:59:53Z","snapshot_observed_at":"2026-07-06T07:12:51.741506Z","submitted_at":"2018-11-06T02:59:53Z","title":"Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon","version":1},"cited_work":{"arxiv_id":"1811.02140","doi":null,"metadata_source":"pith","pith_arxiv_id":"1811.02140","snapshot_observed_at":"2026-08-07T13:55:27.921926Z","title":"Minimal Length Effects on Chaotic Motion of Particles around Black Hole Horizon","venue":"gr-qc","work_id":"09f7d573-c647-4598-8e45-9b7c37dd21b9","year":2018},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.423373Z"},"links":{"cited_paper":"/paper/1811.02140","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:6dee2fddfade1d9427bdf74d80f38dd6e248f7b1f2408fc83ce8ca01fcb56b42","observation_id":"eb164a08-8c99-4091-865c-3e5c0ef578c7","resolution":{"observed_at":"2026-08-07T13:55:27.976546Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2002.05894","last_updated":"2020-03-01T13:55:09Z","snapshot_observed_at":"2026-08-08T13:53:14.532812Z","submitted_at":"2020-02-14T07:23:42Z","title":"Chaotic Motion around a Black Hole under Minimal Length Effects","version":2},"cited_work":{"arxiv_id":"2002.05894","doi":null,"metadata_source":"pith","pith_arxiv_id":"2002.05894","snapshot_observed_at":"2026-08-07T13:55:27.817543Z","title":"Chaotic Motion around a Black Hole under Minimal Length Effects","venue":"gr-qc","work_id":"c820a524-bf39-4e05-a50e-6faa16f5b60e","year":2020},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.494473Z"},"links":{"cited_paper":"/paper/2002.05894","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:776ac310ea44fd58707c735396dd6eea707de3d41e64d09d3c2cb9b9c0369794","observation_id":"727f1057-f60c-45f0-877a-d47d911c14c1","resolution":{"observed_at":"2026-08-07T13:55:27.857068Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1503.01409","last_updated":"2015-03-04T18:37:55Z","snapshot_observed_at":"2026-07-06T04:11:00.983254Z","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":"2026-08-07T13:55:21.551296Z","title":"A bound on chaos,","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.551296Z"},"links":{"cited_paper":"/paper/1503.01409","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:ed70be7436bb417771ce2247e7c4bb3e7de4e0109a9abf8069be276186af8a6f","observation_id":"d28f105d-0b48-468f-8fe6-3923f61a11de","resolution":{"observed_at":"2026-08-07T13:55:21.551296Z","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":"2026-08-05T03:51:37.602390Z","submitted_at":"2016-10-19T15:44:35Z","title":"Universality in Chaos of Particle Motion near Black Hole Horizon","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1610.06070","snapshot_observed_at":"2026-08-07T13:55:21.666158Z","title":"Universality in Chaos of Particle Motion near Black Hole Horizon,","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.666158Z"},"links":{"cited_paper":"/paper/1610.06070","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:600b4a0396ec652b28e99a5178cf095b342b87953aa50a4dd200a356430f89fc","observation_id":"04c7c833-537f-45b9-a7fa-a5cc6fc0e5c2","resolution":{"observed_at":"2026-08-07T13:55:21.666158Z","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":"2026-07-06T06:28:49.951458Z","submitted_at":"2018-03-17T16:00:29Z","title":"Presence of horizon makes particle motion chaotic","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.06527","snapshot_observed_at":"2026-08-07T13:55:21.795396Z","title":"Presence of horizon makes particle motion chaotic,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.795396Z"},"links":{"cited_paper":"/paper/1803.06527","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:3ceae11de282de658983227381128821a8a1b5714de159cdc87e9c29b629e802","observation_id":"53b3434f-96b3-4e0d-b4f3-e9f590153d8c","resolution":{"observed_at":"2026-08-07T13:55:21.795396Z","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":"2026-07-06T07:01:08.855114Z","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":"2026-08-07T13:55:21.881061Z","title":"Static Equilibria of Charged Particles Around Charged Black Holes: Chaos Bound and Its Violations,","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:21.881061Z"},"links":{"cited_paper":"/paper/1809.04616","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:d8251078b29031db5c81ff6a96145825632f0bff39ee4230d76864d45dfae364","observation_id":"c4a5f576-b37b-4347-a403-225b9c55405a","resolution":{"observed_at":"2026-08-07T13:55:21.881061Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.07744","last_updated":"2020-07-21T12:59:30Z","snapshot_observed_at":"2026-07-06T09:38:29.271727Z","submitted_at":"2020-07-15T15:20:25Z","title":"Minimal Length Effects on Motion of a Particle in Rindler Space","version":2},"cited_work":{"arxiv_id":"2007.07744","doi":null,"metadata_source":"pith","pith_arxiv_id":"2007.07744","snapshot_observed_at":"2026-08-07T13:55:27.665109Z","title":"Minimal Length Effects on Motion of a Particle in Rindler Space","venue":"gr-qc","work_id":"d57a3bd7-ead7-40ed-9274-579fe446af45","year":2020},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.045334Z"},"links":{"cited_paper":"/paper/2007.07744","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:7e720c20e99afd85dc6460e5c75b2e083cdd2f231d4f58fc633b0d63d8c6d04a","observation_id":"37c60873-d1d2-4785-97c7-59410f6dfc94","resolution":{"observed_at":"2026-08-07T13:55:27.715496Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2203.07298","last_updated":"2022-03-14T17:05:11Z","snapshot_observed_at":"2026-08-05T05:01:10.105897Z","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":"2026-08-07T13:55:22.187019Z","title":"Violation of bound on chaos for charged probe in Kerr-Newman-AdS black hole,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.187019Z"},"links":{"cited_paper":"/paper/2203.07298","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:d3afffc588500a6f5a9e650f5221fcb921c2713d4076d140e84d61deb857070f","observation_id":"d7cfeaf1-01e5-48a7-85fa-c1c4d5881485","resolution":{"observed_at":"2026-08-07T13:55:22.187019Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.13075","last_updated":"2023-12-20T14:56:09Z","snapshot_observed_at":"2026-08-03T18:50:59.632393Z","submitted_at":"2023-12-20T14:56:09Z","title":"Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle","version":1},"cited_work":{"arxiv_id":"2312.13075","doi":null,"metadata_source":"pith","pith_arxiv_id":"2312.13075","snapshot_observed_at":"2026-08-07T13:55:27.540980Z","title":"Bound on Lyapunov exponent in Kerr-Newman-de Sitter black holes by a charged particle","venue":"gr-qc","work_id":"e69c2e31-9b95-4162-ba00-f796adb2e5b9","year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.322423Z"},"links":{"cited_paper":"/paper/2312.13075","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:e259ad2d73d31538f2633a6502c3ee90dd269d8af0c4c4bed30490f792c43971","observation_id":"2ea0bc27-b7f2-48a8-9174-fe24cabef447","resolution":{"observed_at":"2026-08-07T13:55:27.595005Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2205.02122","last_updated":"2022-05-26T15:00:04Z","snapshot_observed_at":"2026-08-07T16:33:06.640667Z","submitted_at":"2022-05-04T15:23:40Z","title":"Probing Phase Structure of Black Holes with Lyapunov Exponents","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2205.02122","snapshot_observed_at":"2026-08-07T13:55:22.446914Z","title":"Probing phase structure of black holes with Lyapunov exponents,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.446914Z"},"links":{"cited_paper":"/paper/2205.02122","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:72ada1c7c861da058f3e55d0540638834be5cd2412d03448418bdf74f39eec0f","observation_id":"b8ab1895-7ec2-4e4c-b470-dea778815021","resolution":{"observed_at":"2026-08-07T13:55:22.446914Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2304.01877","last_updated":"2023-04-04T15:31:48Z","snapshot_observed_at":"2026-08-06T10:12:34.062700Z","submitted_at":"2023-04-04T15:31:48Z","title":"Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2304.01877","snapshot_observed_at":"2026-08-07T13:55:22.569330Z","title":"Lyapunov exponents and phase transitions of Born-Infeld AdS black holes,","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.569330Z"},"links":{"cited_paper":"/paper/2304.01877","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:cfb97ef8d97e8a0255b738c9162196bdcd9aaeba6b45cea80124b45c40407c2f","observation_id":"089082ac-94c6-4cc3-847d-7b7a3b4eeb57","resolution":{"observed_at":"2026-08-07T13:55:22.569330Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.11912","last_updated":"2023-12-19T07:44:38Z","snapshot_observed_at":"2026-07-06T17:05:06.923713Z","submitted_at":"2023-12-19T07:44:38Z","title":"Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.11912","snapshot_observed_at":"2026-08-07T13:55:22.652866Z","title":"Probing the thermodynamics of charged Gauss Bonnet AdS black holes with the Lyapunov exponent,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.652866Z"},"links":{"cited_paper":"/paper/2312.11912","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f7969fafb14dcc76f1814e9241df3073cf216de0e8efee548077e6e903084cb1","observation_id":"ef6ea629-5fda-4dda-b2b3-547e1b74d0ca","resolution":{"observed_at":"2026-08-07T13:55:22.652866Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.05181","last_updated":"2024-03-02T17:37:46Z","snapshot_observed_at":"2026-07-06T17:13:46.541312Z","submitted_at":"2024-01-10T14:32:17Z","title":"Lyapunov Exponents and Phase Structure of Lifshitz and Hyperscaling Violating Black Holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.05181","snapshot_observed_at":"2026-08-07T13:55:22.748762Z","title":"Lyapunov exponents and phase structure of Lifshitz and hyperscaling violating black holes,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.748762Z"},"links":{"cited_paper":"/paper/2401.05181","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f26bd817632a4a4a26291e558bacfb56bebc49c1791bb654d1faa6bf47e2b6fc","observation_id":"5051ec4e-06bd-400f-87fc-820fb6c3c100","resolution":{"observed_at":"2026-08-07T13:55:22.748762Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.20083","last_updated":"2024-03-29T09:32:45Z","snapshot_observed_at":"2026-08-08T00:15:49.199606Z","submitted_at":"2024-03-29T09:32:45Z","title":"Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.20083","snapshot_observed_at":"2026-08-07T13:55:22.883595Z","title":"Phase structure and optical properties of the de Sitter Spacetime with KR field based on the Lyapunov exponent,","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:22.883595Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:81785f4e35716728a64a42f8bdb3ca915d7e55a3e4316ada6a3690ffb4d6ee27","observation_id":"7293638c-8f25-4ca1-8f38-abbe0c3ee5a1","resolution":{"observed_at":"2026-08-07T13:55:22.883595Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.03947","last_updated":"2024-04-05T08:27:08Z","snapshot_observed_at":"2026-07-06T17:56:02.440507Z","submitted_at":"2024-04-05T08:27:08Z","title":"Lyapunov Exponents and Phase Transition of Hayward AdS Black Hole","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.03947","snapshot_observed_at":"2026-08-07T13:55:23.023929Z","title":"Lyapunov exponents and phase transition of Hayward AdS black hole,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.023929Z"},"links":{"cited_paper":"/paper/2404.03947","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:7f62564c225b258453877bc3b3cb5767e81438500c2b3b3179b8b440e9194366","observation_id":"d6c39e04-0089-43ba-8583-46f4c2f251a0","resolution":{"observed_at":"2026-08-07T13:55:23.023929Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.02095","last_updated":"2024-07-26T05:18:52Z","snapshot_observed_at":"2026-08-06T15:47:38.178642Z","submitted_at":"2024-04-02T16:45:46Z","title":"Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.02095","snapshot_observed_at":"2026-08-07T13:55:23.164511Z","title":"Interplay between the Lyapunov exponents and phase transi- tions of charged AdS black holes,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.164511Z"},"links":{"cited_paper":"/paper/2404.02095","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:a61c03a22c3c51e652d8476906b6e02f53971ad6981ca102d44624033f52eb1f","observation_id":"31e6073b-3173-48af-af8d-02bec9cb0f44","resolution":{"observed_at":"2026-08-07T13:55:23.164511Z","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":"2025.13946","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:27.340906Z","title":"Lyapunov exponents as probes for a phase transition of a Kerr-AdS black hole,","venue":null,"work_id":"ff1e1429-05cf-4239-8332-f3150f8684d3","year":2025},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.301627Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:dfb08d9af9d4d771678810728abde84c4b73af06cbcc5c0542632d753553496c","observation_id":"395b33e0-9c2f-4813-9204-636fd7862a04","resolution":{"observed_at":"2026-08-07T13:55:27.404722Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:23.396434Z","title":"Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.396434Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:aeb6bbf763793380ed313856e76dfc2df24bc516c2cc872d95f961b67c991ec8","observation_id":"dadef7f2-602c-4317-b537-708c12009281","resolution":{"observed_at":"2026-08-07T13:55:23.396434Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1009.2236","last_updated":"2010-09-21T06:53:22Z","snapshot_observed_at":"2026-07-06T02:15:14.960598Z","submitted_at":"2010-09-12T14:11:44Z","title":"On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes","version":3},"cited_work":{"arxiv_id":"1009.2236","doi":null,"metadata_source":"pith","pith_arxiv_id":"1009.2236","snapshot_observed_at":"2026-08-07T13:55:27.128040Z","title":"On The Phase Structure and Thermodynamic Geometry of R-Charged Black Holes","venue":"hep-th","work_id":"0644c2b4-f28d-4211-a132-88ce15d227a2","year":2010},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.470297Z"},"links":{"cited_paper":"/paper/1009.2236","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:081ef337c4bd877915ab46542c3f0de921cae5e5e58f2b1f0fa4baf06b6bc20d","observation_id":"bffd92f0-895c-4513-a3f9-bdcbfd7e133f","resolution":{"observed_at":"2026-08-07T13:55:27.160492Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0411001","last_updated":"2004-11-11T03:19:42Z","snapshot_observed_at":"2026-08-03T23:05:14.145825Z","submitted_at":"2004-11-01T19:34:15Z","title":"Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings","version":2},"cited_work":{"arxiv_id":"hep-th/0411001","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0411001","snapshot_observed_at":"2026-08-07T13:55:27.060441Z","title":"Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings","venue":"hep-th","work_id":"444bd431-4260-40e3-8c76-c12746afdc57","year":2004},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.544857Z"},"links":{"cited_paper":"/paper/hep-th/0411001","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:9f775da9021bec914c7d40a3f47ff7d6d8e45db7160bbee4f94df018b770d6ad","observation_id":"eca6d84c-5506-400f-bf6e-dc2dc09d7a69","resolution":{"observed_at":"2026-08-07T13:55:27.088064Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"0906.5134","last_updated":"2009-06-28T12:49:52Z","snapshot_observed_at":"2026-08-08T10:18:37.915462Z","submitted_at":"2009-06-28T12:49:52Z","title":"Notes on R-charged black holes near criticality and gauge theory","version":1},"cited_work":{"arxiv_id":"0906.5134","doi":null,"metadata_source":"pith","pith_arxiv_id":"0906.5134","snapshot_observed_at":"2026-08-07T13:55:26.943274Z","title":"Notes on R-charged black holes near criticality and gauge theory","venue":"hep-th","work_id":"7bd8f8d5-1556-4618-8ed6-5d58698555aa","year":2009},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.647075Z"},"links":{"cited_paper":"/paper/0906.5134","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:181105c285cc2e500873d89285e792d78ca69e76fe9ec7119cea42bb54a90994","observation_id":"189710ba-109e-44bd-aaee-a87fc6964efa","resolution":{"observed_at":"2026-08-07T13:55:26.988202Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:23.756466Z","title":"Thermodynamic geometry of black holes enclosed by a cavity in extended phase space,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.756466Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:5b52066ae846ff8e6b3bc7ff2d9711cd55e7ac81ae52d77354bba4bd3f28178c","observation_id":"743cc7a6-a48a-4d89-9c9f-5944215fa15b","resolution":{"observed_at":"2026-08-07T13:55:23.756466Z","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":"10.1103/physrevd.107.106009","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:25.005294Z","title":"Topology of thermodynamics in R-charged black holes,","venue":null,"work_id":"24c8f46c-4925-4ba1-9f67-f8990296948f","year":2023},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.877878Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f7b50cf30164a24302cf2727b3e655b1fcc6601612d9407f4eca71676fb29364","observation_id":"978fa7a8-b52a-4933-bd48-afe86d2ef343","resolution":{"observed_at":"2026-08-07T13:55:25.064429Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9902195","last_updated":"1999-02-25T23:52:38Z","snapshot_observed_at":"2026-07-07T05:19:09.315352Z","submitted_at":"1999-02-25T23:52:38Z","title":"Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9902195","snapshot_observed_at":"2026-08-07T13:55:23.960183Z","title":"Phases of R charged black holes, spinning branes and strongly coupled gauge theories,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":87,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:23.960183Z"},"links":{"cited_paper":"/paper/hep-th/9902195","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:c227a2f191750c23a194b6668864d49b5aa49068f98664255aca77bb00c2162e","observation_id":"7ed253ab-0c86-4974-b702-58c7471c7577","resolution":{"observed_at":"2026-08-07T13:55:23.960183Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1305.2745","last_updated":"2014-03-31T13:00:50Z","snapshot_observed_at":"2026-08-05T03:28:32.441735Z","submitted_at":"2013-05-13T11:47:25Z","title":"R-Charged Black Holes and Holographic Optics","version":2},"cited_work":{"arxiv_id":"1305.2745","doi":null,"metadata_source":"pith","pith_arxiv_id":"1305.2745","snapshot_observed_at":"2026-08-07T13:55:26.703194Z","title":"R-Charged Black Holes and Holographic Optics","venue":"hep-th","work_id":"e48dd88f-7f2c-4ee7-95f5-2b6d3fb5f000","year":2013},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":88,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.021881Z"},"links":{"cited_paper":"/paper/1305.2745","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:a4e7b299d9422b49e697efaca34aa9c0c5f4b72b789bdeff760e3ff8572f0cc2","observation_id":"80644aeb-25e1-4e73-a9ab-f1582f2a6e5a","resolution":{"observed_at":"2026-08-07T13:55:26.784426Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1305.6273","last_updated":"2014-03-31T12:56:12Z","snapshot_observed_at":"2026-07-06T03:14:25.617404Z","submitted_at":"2013-05-27T16:48:29Z","title":"Generalized Superconductors and Holographic Optics","version":2},"cited_work":{"arxiv_id":"1305.6273","doi":null,"metadata_source":"pith","pith_arxiv_id":"1305.6273","snapshot_observed_at":"2026-08-07T13:55:26.560531Z","title":"Generalized Superconductors and Holographic Optics","venue":"hep-th","work_id":"28299a73-8cd0-4cfe-87fa-bfd9b1216004","year":2013},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":89,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.105547Z"},"links":{"cited_paper":"/paper/1305.6273","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:8ccee2cfacda4c7f7f8fbb914e591fbc64f571dbcddae3aabc728d0cf328af17","observation_id":"6f87364d-8649-4e54-9d23-957c49537e8d","resolution":{"observed_at":"2026-08-07T13:55:26.624404Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1411.6405","last_updated":"2014-11-24T10:46:24Z","snapshot_observed_at":"2026-07-06T04:01:27.628349Z","submitted_at":"2014-11-24T10:46:24Z","title":"Generalized Superconductors and Holographic Optics - II","version":1},"cited_work":{"arxiv_id":"1411.6405","doi":null,"metadata_source":"pith","pith_arxiv_id":"1411.6405","snapshot_observed_at":"2026-08-07T13:55:26.388311Z","title":"Generalized Superconductors and Holographic Optics - II","venue":"hep-th","work_id":"674d2bfe-f81e-4ccf-a068-2313b1b21c99","year":2014},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":90,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.178352Z"},"links":{"cited_paper":"/paper/1411.6405","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:7a41cbcb0b823ed535824b40c12a496bd4bfb58ba4985e75ad0dd2eb8d62f398","observation_id":"979adfb5-9661-4791-b7d3-0bc8006dc8eb","resolution":{"observed_at":"2026-08-07T13:55:26.474664Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0601157","last_updated":"2006-10-13T00:38:07Z","snapshot_observed_at":"2026-07-07T04:56:25.069036Z","submitted_at":"2006-01-20T20:21:22Z","title":"Hydrodynamics of R-charged black holes","version":3},"cited_work":{"arxiv_id":"hep-th/0601157","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0601157","snapshot_observed_at":"2026-08-07T13:55:26.248626Z","title":"Hydrodynamics of R-charged black holes","venue":"hep-th","work_id":"2552a177-5ed7-4abd-9905-cf0b60d01a57","year":2006},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":91,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.215501Z"},"links":{"cited_paper":"/paper/hep-th/0601157","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:c7161a2328ba120ebd058e735ec9479720e00e0348bc4a2b36032d5c79016e35","observation_id":"7a7e2759-27d5-4218-b9da-d54a41fdbf11","resolution":{"observed_at":"2026-08-07T13:55:26.293492Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0601144","last_updated":"2006-03-07T10:14:24Z","snapshot_observed_at":"2026-07-07T04:56:25.069036Z","submitted_at":"2006-01-20T00:15:27Z","title":"Shear viscosity from R-charged AdS black holes","version":3},"cited_work":{"arxiv_id":"hep-th/0601144","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0601144","snapshot_observed_at":"2026-08-07T13:55:26.093331Z","title":"Shear viscosity from R-charged AdS black holes","venue":"hep-th","work_id":"29cc7b0f-ce4a-473e-b62c-a89444a1e40c","year":2006},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":92,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.265582Z"},"links":{"cited_paper":"/paper/hep-th/0601144","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:827b8b46806bb0c9af9b0cf8e94f5bee574b481816001f2e1dc99dea89f9b527","observation_id":"fc3d3f61-94c2-422b-8bdb-72c32162cf08","resolution":{"observed_at":"2026-08-07T13:55:26.156950Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9901149","last_updated":"1999-03-11T00:24:09Z","snapshot_observed_at":"2026-07-07T05:18:56.436532Z","submitted_at":"1999-01-28T00:42:02Z","title":"Anti-de Sitter Black Holes in Gauged N=8 Supergravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9901149","snapshot_observed_at":"2026-08-07T13:55:24.305787Z","title":"Anti-de Sitter black holes in gauged N = 8 supergravity,","venue":null,"work_id":null,"year":1999},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":93,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.305787Z"},"links":{"cited_paper":"/paper/hep-th/9901149","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:3624a3c258199ce56b78ca5a65d0432efef488ca1dfec4887fd0a58853ada639","observation_id":"42992454-29d3-4f7e-9443-5d1ac314a44f","resolution":{"observed_at":"2026-08-07T13:55:24.305787Z","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":"9669.32515","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:25.940841Z","title":"Zeroth-Order Phase Transitions","venue":null,"work_id":"85ce8b65-42c1-47bc-95fd-1552a9e5b488","year":2004},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":94,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.371714Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:b92305392599bf0b434ae9a512a44e3f71cff5b5df2d5d9957e6c4a79774b621","observation_id":"956b57ba-9928-40b0-b2bb-c87b8029a80b","resolution":{"observed_at":"2026-08-07T13:55:26.015154Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1208.6251","last_updated":"2012-11-15T20:15:47Z","snapshot_observed_at":"2026-07-06T02:54:38.348947Z","submitted_at":"2012-08-30T18:21:30Z","title":"Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1208.6251","snapshot_observed_at":"2026-08-07T13:55:24.449959Z","title":"Extended phase space thermodynamics for charged and ro- tating black holes and Born-Infeld vacuum polarization,","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":95,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.449959Z"},"links":{"cited_paper":"/paper/1208.6251","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f9d85165195783c8e50f63c62aa6255c84c302131ae23d92b03aa6e8d9862f72","observation_id":"fec0efa0-537f-4e48-892a-c51f09988b84","resolution":{"observed_at":"2026-08-07T13:55:24.449959Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1306.5756","last_updated":"2013-06-24T20:00:09Z","snapshot_observed_at":"2026-07-06T03:16:40.135454Z","submitted_at":"2013-06-24T20:00:09Z","title":"Reentrant Phase Transitions in Rotating AdS Black Holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1306.5756","snapshot_observed_at":"2026-08-07T13:55:24.515331Z","title":"Reentrant phase transitions in rotating anti–de Sitter black holes,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":96,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.515331Z"},"links":{"cited_paper":"/paper/1306.5756","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:9f3882420a88b9395d7554428a03a4da6f6d725e7c3bf08c3253a1cc461bb7a9","observation_id":"a44f2cf9-5df1-48e6-b328-ed861af1c153","resolution":{"observed_at":"2026-08-07T13:55:24.515331Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.06798","last_updated":"2015-09-22T22:24:09Z","snapshot_observed_at":"2026-07-06T04:30:44.067910Z","submitted_at":"2015-09-22T22:24:09Z","title":"Reentrant phase transitions and van der Waals behaviour for hairy black holes","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.06798","snapshot_observed_at":"2026-08-07T13:55:24.591827Z","title":"Reentrant phase transitions and van der Waals behaviour for hairy black holes,","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":97,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.591827Z"},"links":{"cited_paper":"/paper/1509.06798","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:396a96a574abd3ba37930ff34218ccd18ce6d6be5191829d6816e08fd432b827","observation_id":"7d969da9-2d8f-4938-af67-8b14133a2aa0","resolution":{"observed_at":"2026-08-07T13:55:24.591827Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1707.05307","last_updated":"2017-07-14T18:50:23Z","snapshot_observed_at":"2026-07-06T05:51:29.274303Z","submitted_at":"2017-07-14T18:50:23Z","title":"Novel phase transition in charged dilaton black holes","version":1},"cited_work":{"arxiv_id":"1707.05307","doi":null,"metadata_source":"pith","pith_arxiv_id":"1707.05307","snapshot_observed_at":"2026-08-07T13:55:25.747796Z","title":"Novel phase transition in charged dilaton black holes","venue":"hep-th","work_id":"c00f5255-1438-4597-8ab0-a99ad554bdc8","year":2017},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":98,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.666899Z"},"links":{"cited_paper":"/paper/1707.05307","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:9e5ab7663a1eb27b2dd751903fc27a58d283f2b4ca29551f1ca264733d603c1c","observation_id":"629f7e9d-7e57-45e8-887c-d3816d316915","resolution":{"observed_at":"2026-08-07T13:55:25.799022Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1709.06875","last_updated":"2018-03-11T10:57:21Z","snapshot_observed_at":"2026-07-06T06:00:30.763902Z","submitted_at":"2017-09-17T08:30:33Z","title":"Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics","version":2},"cited_work":{"arxiv_id":"1709.06875","doi":null,"metadata_source":"pith","pith_arxiv_id":"1709.06875","snapshot_observed_at":"2026-08-07T13:55:25.570792Z","title":"Critical behavior and phase transition of dilaton black holes with nonlinear electrodynamics","venue":"gr-qc","work_id":"2d9e7f3e-3c33-4b02-80a6-358663b341dd","year":2017},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":99,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.764980Z"},"links":{"cited_paper":"/paper/1709.06875","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:20570f5d793eb99db8719dda417465c3295fcdcca88eb90d428197e31dc33d8b","observation_id":"bbebcf73-55e7-492b-9c04-5afc5a5fe060","resolution":{"observed_at":"2026-08-07T13:55:25.636347Z","resolver_source":"local_arxiv","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2019.11475","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T13:55:25.476469Z","title":"Microscopic explanation for black hole phase transitions via Ruppeiner geom- etry: Two competing factors–the temperature and repulsive interaction among BH molecules,","venue":null,"work_id":"f7732e62-2184-42a2-abca-dc1bae96f9d2","year":2019},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":100,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.839396Z"},"links":{"citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:f1e053705be6d7f018b3dc4354a8c64db28c2e96363dbd7f1d5bc1a4d8918b23","observation_id":"cf63f4b0-c191-4601-8532-743e434589a3","resolution":{"observed_at":"2026-08-07T13:55:25.522599Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1203.0118","last_updated":"2012-05-02T05:55:07Z","snapshot_observed_at":"2026-07-06T02:43:49.710479Z","submitted_at":"2012-03-01T08:40:41Z","title":"Critical behavior of Born Infeld AdS black holes in higher dimensions","version":2},"cited_work":{"arxiv_id":"1203.0118","doi":null,"metadata_source":"pith","pith_arxiv_id":"1203.0118","snapshot_observed_at":"2026-08-07T13:55:25.225606Z","title":"Critical behavior of Born Infeld AdS black holes in higher dimensions","venue":"gr-qc","work_id":"56559d94-4bd2-4ec4-83a9-53ead859f4c9","year":2012},"citing_paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent","version":1},"reference_index":101,"source":"pdf_text","source_observed_at":"2026-08-07T13:55:24.896391Z"},"links":{"cited_paper":"/paper/1203.0118","citing_paper":"/paper/2505.20800"},"observation_digest":"sha256:07f9a651d9289f12d755f1e36e92f02d9da683d6643bf41685f2183064774dcf","observation_id":"8dee0c47-1faf-41e5-9a6c-a6e215b19cc0","resolution":{"observed_at":"2026-08-07T13:55:25.275907Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.20800","last_updated":"2025-05-27T07:06:07Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-07T19:58:24.023779Z","submitted_at":"2025-05-27T07:06:07Z","title":"Probing Thermodynamic Phase Transitions of 4D R-Charged Black Holes via Lyapunov Exponent"},"reference_resolution":{"displayed":100,"state_counts":{"malformed_identifier":6,"metadata_mismatch":4,"parse_uncertain":0,"unresolved":68,"verified_exact":22,"verified_fuzzy":0},"total_outbound_references":100},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 100 of 100 outbound references and 7 inbound Pith citation observations for arXiv:2505.20800."}