{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:D27G527JRKOSAUJUR6LQWU3JIH","short_pith_number":"pith:D27G527J","schema_version":"1.0","canonical_sha256":"1ebe6eebe98a9d2051348f970b536941f9721019c43938f67bfb4247f226f643","source":{"kind":"arxiv","id":"1106.3340","version":1},"attestation_state":"computed","paper":{"title":"Long-Term Cycling of Kozai-Lidov Cycles: Extreme Eccentricities and Inclinations Excited by a Distant Eccentric Perturber","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Boaz Katz, Renu Malhotra, Subo Dong","submitted_at":"2011-06-16T20:04:53Z","abstract_excerpt":"Kozai-Lidov oscillations of Jupiter-mass planets, excited by comparable planetary or brown dwarf mass perturbers were recently shown in numerical experiments to be slowly modulated and to exhibit striking features, including extremely high eccentricities and the generation of retrograde orbits with respect to the perturber. Here we solve this problem analytically for the case of a test particle orbiting a host star and perturbed by a distant companion whose orbit is eccentric and highly inclined. We give analytic expressions for the conditions that produce retrograde orbits and high eccentrici"},"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":"1106.3340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-06-16T20:04:53Z","cross_cats_sorted":[],"title_canon_sha256":"66ad80af454166a67a76d7503ebd6ee3d4ecd6ed0393648f649911c0bc8aa2f8","abstract_canon_sha256":"d30a579f32b4375f6347ff7179bd82aa86aae1a779a85edf267cbdcf8205aade"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:36.011073Z","signature_b64":"Ne7uB5w3ut0wmvIs+mzqThC4toTszhUbnIul6l+s7VJpsNKUIWwKh9J9G1W/0jCH8BtCkG/2dUd8wrBQ/CxZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ebe6eebe98a9d2051348f970b536941f9721019c43938f67bfb4247f226f643","last_reissued_at":"2026-05-18T02:01:36.010382Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:36.010382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long-Term Cycling of Kozai-Lidov Cycles: Extreme Eccentricities and Inclinations Excited by a Distant Eccentric Perturber","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Boaz Katz, Renu Malhotra, Subo Dong","submitted_at":"2011-06-16T20:04:53Z","abstract_excerpt":"Kozai-Lidov oscillations of Jupiter-mass planets, excited by comparable planetary or brown dwarf mass perturbers were recently shown in numerical experiments to be slowly modulated and to exhibit striking features, including extremely high eccentricities and the generation of retrograde orbits with respect to the perturber. Here we solve this problem analytically for the case of a test particle orbiting a host star and perturbed by a distant companion whose orbit is eccentric and highly inclined. We give analytic expressions for the conditions that produce retrograde orbits and high eccentrici"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3340","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":"1106.3340","created_at":"2026-05-18T02:01:36.010480+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.3340v1","created_at":"2026-05-18T02:01:36.010480+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3340","created_at":"2026-05-18T02:01:36.010480+00:00"},{"alias_kind":"pith_short_12","alias_value":"D27G527JRKOS","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"D27G527JRKOSAUJU","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"D27G527J","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.04495","citing_title":"Eccentricity Effects on Modeling Dynamic Quantities and Their Correlations in Binary Black Hole Mergers","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH","json":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH.json","graph_json":"https://pith.science/api/pith-number/D27G527JRKOSAUJUR6LQWU3JIH/graph.json","events_json":"https://pith.science/api/pith-number/D27G527JRKOSAUJUR6LQWU3JIH/events.json","paper":"https://pith.science/paper/D27G527J"},"agent_actions":{"view_html":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH","download_json":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH.json","view_paper":"https://pith.science/paper/D27G527J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.3340&json=true","fetch_graph":"https://pith.science/api/pith-number/D27G527JRKOSAUJUR6LQWU3JIH/graph.json","fetch_events":"https://pith.science/api/pith-number/D27G527JRKOSAUJUR6LQWU3JIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH/action/storage_attestation","attest_author":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH/action/author_attestation","sign_citation":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH/action/citation_signature","submit_replication":"https://pith.science/pith/D27G527JRKOSAUJUR6LQWU3JIH/action/replication_record"}},"created_at":"2026-05-18T02:01:36.010480+00:00","updated_at":"2026-05-18T02:01:36.010480+00:00"}