{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:GH6532SVML4MM6CJH46ZINZ75O","short_pith_number":"pith:GH6532SV","schema_version":"1.0","canonical_sha256":"31fdddea5562f8c678493f3d94373feb902e656bb15008500f6633c47cf8f645","source":{"kind":"arxiv","id":"1009.6117","version":1},"attestation_state":"computed","paper":{"title":"Analytical solution of the geodesic equation in Kerr-(anti) de Sitter space-times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Claus L\\\"ammerzahl, Eva Hackmann, Jutta Kunz, Valeria Kagramanova","submitted_at":"2010-09-30T12:38:48Z","abstract_excerpt":"The complete analytical solutions of the geodesic equations in Kerr-de Sitter and Kerr-anti-de Sitter space-times are presented. They are expressed in terms of Weierstrass elliptic p, zeta, and sigma functions as well as hyperelliptic Kleinian sigma functions restricted to the one-dimensional theta-divisor. We analyze the dependency of timelike geodesics on the parameters of the space-time metric and the test-particle and compare the results with the situation in Kerr space-time with vanishing cosmological constant. Furthermore, we systematically can find all last stable spherical and circular"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1009.6117","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-09-30T12:38:48Z","cross_cats_sorted":[],"title_canon_sha256":"c5779de8f94bc55a0eee006159b557738a0538cf1c803e346b2d648eeb9a15ba","abstract_canon_sha256":"6eec78b243803c857699c2e4ab89a2b4257ba910b40f70ab60462206193e47c6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:45.383063Z","signature_b64":"kKxaix3crLRUwykSXwtkO5HVXHeNIOG2QdbL2bbF6eEZtrIj/H0c3trpltxSvh4zUV09jv4ynACbkc+v1Nq8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31fdddea5562f8c678493f3d94373feb902e656bb15008500f6633c47cf8f645","last_reissued_at":"2026-05-18T04:08:45.382445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:45.382445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analytical solution of the geodesic equation in Kerr-(anti) de Sitter space-times","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Claus L\\\"ammerzahl, Eva Hackmann, Jutta Kunz, Valeria Kagramanova","submitted_at":"2010-09-30T12:38:48Z","abstract_excerpt":"The complete analytical solutions of the geodesic equations in Kerr-de Sitter and Kerr-anti-de Sitter space-times are presented. They are expressed in terms of Weierstrass elliptic p, zeta, and sigma functions as well as hyperelliptic Kleinian sigma functions restricted to the one-dimensional theta-divisor. We analyze the dependency of timelike geodesics on the parameters of the space-time metric and the test-particle and compare the results with the situation in Kerr space-time with vanishing cosmological constant. Furthermore, we systematically can find all last stable spherical and circular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.6117","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1009.6117","created_at":"2026-05-18T04:08:45.382547+00:00"},{"alias_kind":"arxiv_version","alias_value":"1009.6117v1","created_at":"2026-05-18T04:08:45.382547+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.6117","created_at":"2026-05-18T04:08:45.382547+00:00"},{"alias_kind":"pith_short_12","alias_value":"GH6532SVML4M","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"GH6532SVML4MM6CJ","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"GH6532SV","created_at":"2026-05-18T12:26:07.630475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.04261","citing_title":"Topological charge and black hole photon spheres in massive gravity","ref_index":24,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O","json":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O.json","graph_json":"https://pith.science/api/pith-number/GH6532SVML4MM6CJH46ZINZ75O/graph.json","events_json":"https://pith.science/api/pith-number/GH6532SVML4MM6CJH46ZINZ75O/events.json","paper":"https://pith.science/paper/GH6532SV"},"agent_actions":{"view_html":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O","download_json":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O.json","view_paper":"https://pith.science/paper/GH6532SV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1009.6117&json=true","fetch_graph":"https://pith.science/api/pith-number/GH6532SVML4MM6CJH46ZINZ75O/graph.json","fetch_events":"https://pith.science/api/pith-number/GH6532SVML4MM6CJH46ZINZ75O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O/action/storage_attestation","attest_author":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O/action/author_attestation","sign_citation":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O/action/citation_signature","submit_replication":"https://pith.science/pith/GH6532SVML4MM6CJH46ZINZ75O/action/replication_record"}},"created_at":"2026-05-18T04:08:45.382547+00:00","updated_at":"2026-05-18T04:08:45.382547+00:00"}