{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:EXNI6VMOLGYGP7BQAFMKGXCTL4","short_pith_number":"pith:EXNI6VMO","schema_version":"1.0","canonical_sha256":"25da8f558e59b067fc300158a35c535f222f54f4fdae7adf939321638bc2a268","source":{"kind":"arxiv","id":"astro-ph/0203370","version":2},"attestation_state":"computed","paper":{"title":"The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Aristotle Socrates (UCSB), Man Hoi Lee, Omer Blaes","submitted_at":"2002-03-21T12:43:38Z","abstract_excerpt":"We consider the dynamical evolution of bound, hierarchical triples of supermassive black holes that might be formed in the nuclei of galaxies undergoing sequential mergers. The tidal force of the outer black hole on the inner binary produces eccentricity oscillations through the Kozai mechanism, and this can substantially reduce the gravitational wave merger time of the inner binary. We numerically calculate the merger time for a wide range of initial conditions and black hole mass ratios, including the effects of octupole interactions in the triple as well as general relativistic periastron p"},"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":"astro-ph/0203370","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2002-03-21T12:43:38Z","cross_cats_sorted":[],"title_canon_sha256":"bacf098cb77b2f4069ca7803dd4c110cc1899f255209c5f70450ecb176f53946","abstract_canon_sha256":"632f9daa6603cb99027259c922fed660547ebd4e51db5314345aeb4a4608770c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:29:34.977842Z","signature_b64":"n2gCkyBD+tT4IHiKmoklQPzkGeY54qg2oFBvmMNOM7t0cWBGF1IjW9GC01ChUCIPP6zlxbNJ3qOCc/qup7C3BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25da8f558e59b067fc300158a35c535f222f54f4fdae7adf939321638bc2a268","last_reissued_at":"2026-07-04T16:29:34.977500Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:29:34.977500Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Aristotle Socrates (UCSB), Man Hoi Lee, Omer Blaes","submitted_at":"2002-03-21T12:43:38Z","abstract_excerpt":"We consider the dynamical evolution of bound, hierarchical triples of supermassive black holes that might be formed in the nuclei of galaxies undergoing sequential mergers. The tidal force of the outer black hole on the inner binary produces eccentricity oscillations through the Kozai mechanism, and this can substantially reduce the gravitational wave merger time of the inner binary. We numerically calculate the merger time for a wide range of initial conditions and black hole mass ratios, including the effects of octupole interactions in the triple as well as general relativistic periastron p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0203370","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0203370/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"astro-ph/0203370","created_at":"2026-07-04T16:29:34.977557+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0203370v2","created_at":"2026-07-04T16:29:34.977557+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0203370","created_at":"2026-07-04T16:29:34.977557+00:00"},{"alias_kind":"pith_short_12","alias_value":"EXNI6VMOLGYG","created_at":"2026-07-04T16:29:34.977557+00:00"},{"alias_kind":"pith_short_16","alias_value":"EXNI6VMOLGYGP7BQ","created_at":"2026-07-04T16:29:34.977557+00:00"},{"alias_kind":"pith_short_8","alias_value":"EXNI6VMO","created_at":"2026-07-04T16:29:34.977557+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2606.00787","citing_title":"The Pan-Pacific Planet Search -- IX. A menagerie of companions orbiting evolved stars","ref_index":286,"is_internal_anchor":true},{"citing_arxiv_id":"2605.23006","citing_title":"\\texttt{calypso}: a Parameter-Conditioned Stochastic Surrogate Model for Circumbinary Accretion Time-Series","ref_index":231,"is_internal_anchor":true},{"citing_arxiv_id":"1310.1528","citing_title":"Post-Newtonian Theory for Gravitational Waves","ref_index":41,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4","json":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4.json","graph_json":"https://pith.science/api/pith-number/EXNI6VMOLGYGP7BQAFMKGXCTL4/graph.json","events_json":"https://pith.science/api/pith-number/EXNI6VMOLGYGP7BQAFMKGXCTL4/events.json","paper":"https://pith.science/paper/EXNI6VMO"},"agent_actions":{"view_html":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4","download_json":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4.json","view_paper":"https://pith.science/paper/EXNI6VMO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0203370&json=true","fetch_graph":"https://pith.science/api/pith-number/EXNI6VMOLGYGP7BQAFMKGXCTL4/graph.json","fetch_events":"https://pith.science/api/pith-number/EXNI6VMOLGYGP7BQAFMKGXCTL4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4/action/storage_attestation","attest_author":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4/action/author_attestation","sign_citation":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4/action/citation_signature","submit_replication":"https://pith.science/pith/EXNI6VMOLGYGP7BQAFMKGXCTL4/action/replication_record"}},"created_at":"2026-07-04T16:29:34.977557+00:00","updated_at":"2026-07-04T16:29:34.977557+00:00"}