{"as_of":"2026-08-05T21:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:cbe3d1b661538022967953273628cdb82953a38bcfb7973326525fcdc5aa8258","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-05T06:32:48.257954+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T05:46:09.761063Z","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":"2026-07-02T04:06:35.677966Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2403.20083","last_updated":"2024-03-29T09:32:45Z","snapshot_observed_at":"2026-07-06T17:53:02.801211Z","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":"2026-08-05T05:46:09.761063Z","title":"Du, H.-F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2509.05103","last_updated":"2026-07-31T03:45:44Z","snapshot_observed_at":"2026-08-05T21:10:50.394908Z","submitted_at":"2025-09-05T13:39:55Z","title":"Gaussian curvature and Lyapunov exponent as probes of black hole phase transitions","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-05T05:46:09.761063Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2509.05103"},"observation_digest":"sha256:60e7f88477425ef437b2f2e3037c47ff46dd371462e551f65699854a1b546930","observation_id":"ee295214-3b11-42d8-a373-81509d954d1e","resolution":{"observed_at":"2026-08-05T05:46:09.761063Z","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":"2026-07-06T17:53:02.801211Z","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":"2026-08-04T09:50:02.592294Z","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":"2510.13552","last_updated":"2026-07-12T04:46:12Z","snapshot_observed_at":"2026-08-04T09:49:55.532816Z","submitted_at":"2025-10-15T13:49:01Z","title":"Mapping Quasi-Periodic Oscillations to Lyapunov Exponent across Black Hole Thermodynamic Phase Transitions","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-04T09:50:02.592294Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2510.13552"},"observation_digest":"sha256:e0ffedfb87a87a88b09030c8fee6201761fc3e00b7c23c1a99604a528398e31f","observation_id":"854adfd1-9254-404d-9674-da8710944fbd","resolution":{"observed_at":"2026-08-04T09:50:02.592294Z","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":"2026-07-06T17:53:02.801211Z","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":"2026-08-04T09:26:10.144902Z","title":"Du, H.-F","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2510.16731","last_updated":"2026-05-24T10:59:54Z","snapshot_observed_at":"2026-08-04T09:26:05.494816Z","submitted_at":"2025-10-19T07:01:17Z","title":"Exact Black Hole Solutions in Bumblebee Gravity with Lightlike or Spacelike VEVS","version":3},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-04T09:26:10.144902Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2510.16731"},"observation_digest":"sha256:46c9890490b7fdddcf710295e97ca14c196302ea4954b942af092801455b29fe","observation_id":"219ea540-b940-44f7-ad10-0e2fe6847d18","resolution":{"observed_at":"2026-08-04T09:26:10.144902Z","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":"2026-07-06T17:53:02.801211Z","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":"2026-08-04T07:58:04.153257Z","title":"Du, H.-F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2510.23387","last_updated":"2026-05-28T09:49:34Z","snapshot_observed_at":"2026-08-04T07:57:56.322924Z","submitted_at":"2025-10-27T14:43:07Z","title":"Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T07:58:04.153257Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2510.23387"},"observation_digest":"sha256:748251fdfc9b33db1fd9953670bc5d1c3431f3eeedf1661f838be5976862ff59","observation_id":"3f4a7865-ede2-4c66-af9f-5eedf2aa387c","resolution":{"observed_at":"2026-08-04T07:58:04.153257Z","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":"2026-07-06T17:53:02.801211Z","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":"2026-08-03T16:11:31.986378Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.14920","last_updated":"2026-07-02T14:14:51Z","snapshot_observed_at":"2026-08-03T16:11:21.125593Z","submitted_at":"2025-12-16T21:19:03Z","title":"Gravitational decoupling and regular hairy black holes: Geodesic stability, quasinormal modes, and thermodynamic properties","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-03T16:11:31.986378Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2512.14920"},"observation_digest":"sha256:e779fb7bc7d1403d389ec46d105184d2e644ea7d3ed4a63ea7f0558c43462a45","observation_id":"99cce7df-a985-4b4e-bb86-8761450e6c91","resolution":{"observed_at":"2026-08-03T16:11:31.986378Z","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":"2026-07-06T17:53:02.801211Z","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":"2403.20083","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.20083","snapshot_observed_at":"2026-07-02T04:06:35.677966Z","title":"Du, H.-F","venue":null,"work_id":"de69d8b3-a14e-4b2b-bfc7-2952109833a9","year":2025},"citing_paper":{"arxiv_id":"2604.08315","last_updated":"2026-07-31T07:44:27Z","snapshot_observed_at":"2026-08-05T21:13:52.492287Z","submitted_at":"2026-04-09T14:48:39Z","title":"Unifying topological, geometric, and complex classifications of black hole thermodynamics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T16:53:14.107271Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2604.08315"},"observation_digest":"sha256:33ab018987f4a511c0121868748a2c7650d9232e8c71e60b8ebb93438a842b55","observation_id":"6fbc5305-aa0e-4377-a955-4e402139c083","resolution":{"observed_at":"2026-05-11T07:56:01.029727Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.20083","last_updated":"2024-03-29T09:32:45Z","snapshot_observed_at":"2026-07-06T17:53:02.801211Z","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":"2026-08-03T02:31:09.125653Z","title":"Du, H.-F","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2604.08315","last_updated":"2026-07-31T07:44:27Z","snapshot_observed_at":"2026-08-05T21:13:52.492287Z","submitted_at":"2026-04-09T14:48:39Z","title":"Unifying topological, geometric, and complex classifications of black hole thermodynamics","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T02:31:09.125653Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2604.08315"},"observation_digest":"sha256:58ebb93915abc46bfb73af809197a5d4558f010fcdf3ee0cda700d801febe39e","observation_id":"11a4bfa7-4b2b-4490-a79d-828354788b95","resolution":{"observed_at":"2026-08-03T02:31:09.125653Z","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":"2026-07-06T17:53:02.801211Z","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":"2403.20083","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.20083","snapshot_observed_at":"2026-07-02T04:06:35.677966Z","title":"Du, H.-F","venue":null,"work_id":"de69d8b3-a14e-4b2b-bfc7-2952109833a9","year":2025},"citing_paper":{"arxiv_id":"2605.18371","last_updated":"2026-05-18T13:20:02Z","snapshot_observed_at":"2026-07-06T23:29:14.916114Z","submitted_at":"2026-05-18T13:20:02Z","title":"Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-20T09:18:17.246863Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2605.18371"},"observation_digest":"sha256:cf18103d4b10bb518f3b5d3144b2dc3f1a08d7264488ce69d88ae748cc4b2e30","observation_id":"8cbcacb2-538a-4916-aa6d-d2213e146c3c","resolution":{"observed_at":"2026-05-20T09:23:10.808788Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2403.20083","last_updated":"2024-03-29T09:32:45Z","snapshot_observed_at":"2026-07-06T17:53:02.801211Z","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":"2403.20083","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2403.20083","snapshot_observed_at":"2026-07-02T04:06:35.677966Z","title":"Du, H.-F","venue":null,"work_id":"de69d8b3-a14e-4b2b-bfc7-2952109833a9","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":84,"source":"pdf_text","source_observed_at":"2026-06-28T09:22:48.622328Z"},"links":{"cited_paper":"/paper/2403.20083","citing_paper":"/paper/2606.03045"},"observation_digest":"sha256:fced74468bc3d300fd15e42b6542b7fc53a72372175b92e88e1730bf64071260","observation_id":"9f219384-b842-4956-bc7a-52181e6f4e9e","resolution":{"observed_at":"2026-07-02T04:06:35.679435Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2403.20083/citation-record","integrity":"/paper/2403.20083/integrity","json":"/paper/2403.20083/citation-record.json","paper":"/paper/2403.20083"},"outbound":[],"paper":{"arxiv_id":"2403.20083","last_updated":"2024-03-29T09:32:45Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T17:53:02.801211Z","submitted_at":"2024-03-29T09:32:45Z","title":"Phase structure of the de Sitter Spacetime with KR field based on the Lyapunov exponent"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-05T06:32:48.257954+00:00","source":"crossref"},{"observed_at":"2026-08-05T06:32:44.755628+00:00","source":"retraction_watch"}],"thesis":"As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2403.20083."}