{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3Z7JKGWKVOXLSJYDVOLVJVS3OV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"696406116a040bc21d0874fe81fb2c3f16b7d0c79214886744512dd9e9e07083","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-17T20:34:15Z","title_canon_sha256":"e65f89e4cd967117508495d43c645af559f8ac4a0d9fd475cf4da2b9414094ef"},"schema_version":"1.0","source":{"id":"1208.3686","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.3686","created_at":"2026-05-18T01:55:09Z"},{"alias_kind":"arxiv_version","alias_value":"1208.3686v2","created_at":"2026-05-18T01:55:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.3686","created_at":"2026-05-18T01:55:09Z"},{"alias_kind":"pith_short_12","alias_value":"3Z7JKGWKVOXL","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"3Z7JKGWKVOXLSJYD","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"3Z7JKGWK","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:e2426ff1f254686f5366effc15d6dddbf90ba5478e9fe04f66db348e27ddf085","target":"graph","created_at":"2026-05-18T01:55:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We present the complete set of analytical solutions of the geodesic equation in the five-dimensional Myers-Perry space-time with equal rotation parameter in terms of the Weierstra{\\ss}' elliptic and Weierstra{\\ss}' zeta and sigma functions. We study the underlying polynomials in the polar and radial equations which depend on the parameters of the metric and conserved quantities of a test particle and characterize the motion by their zeros. We exemplify the efficiency of the analytical method on the orbits of test particles.","authors_text":"Stephan Reimers, Valeria Kagramanova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-17T20:34:15Z","title":"Analytic treatment of geodesics in five-dimensional Myers-Perry space--times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.3686","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:46688789d56f6b9c869571b9ef769a6ba7b3f9b17a9074790a2f278e6d3ae068","target":"record","created_at":"2026-05-18T01:55:09Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"696406116a040bc21d0874fe81fb2c3f16b7d0c79214886744512dd9e9e07083","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-08-17T20:34:15Z","title_canon_sha256":"e65f89e4cd967117508495d43c645af559f8ac4a0d9fd475cf4da2b9414094ef"},"schema_version":"1.0","source":{"id":"1208.3686","kind":"arxiv","version":2}},"canonical_sha256":"de7e951acaabaeb92703ab9754d65b756c09467cc39b7b407318f89f33c38077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de7e951acaabaeb92703ab9754d65b756c09467cc39b7b407318f89f33c38077","first_computed_at":"2026-05-18T01:55:09.605882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:09.605882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4FOXc/gcrjnD0v78O9s5GnR6tRQM3buM53qpJ2O/+SfOicGybDPIabA4+N1A+lWL56WIyI/vsZIwXnXu1XBICw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:09.606422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.3686","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46688789d56f6b9c869571b9ef769a6ba7b3f9b17a9074790a2f278e6d3ae068","sha256:e2426ff1f254686f5366effc15d6dddbf90ba5478e9fe04f66db348e27ddf085"],"state_sha256":"22323998f24010f4b72f0c101242fd251b6eaabb07e691b4333776fec7fcec7f"}