{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:FH54L5BIZWTYLD5ISWEEDOSVD6","short_pith_number":"pith:FH54L5BI","schema_version":"1.0","canonical_sha256":"29fbc5f428cda7858fa8958841ba551f873f4b59684f2d5a5f29e8098f97aae2","source":{"kind":"arxiv","id":"astro-ph/0703088","version":1},"attestation_state":"computed","paper":{"title":"Extrasolar planetary dynamics with a generalized planar Laplace-Lagrange secular theory","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Dimitri Veras, Philip J. Armitage","submitted_at":"2007-03-05T21:02:23Z","abstract_excerpt":"The dynamical evolution of nearly half of the known extrasolar planets in multiple-planet systems may be dominated by secular perturbations. The commonly high eccentricities of the planetary orbits calls into question the utility of the traditional Laplace-Lagrange (LL) secular theory in analyses of the motion. We analytically generalize this theory to fourth-order in the eccentricities, compare the result with the second-order theory and octupole-level theory, and apply these theories to the likely secularly-dominated HD 12661, HD 168443, HD 38529 and Ups And multi-planet systems. The fourth-"},"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/0703088","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-03-05T21:02:23Z","cross_cats_sorted":[],"title_canon_sha256":"c70931cf8cda6f8c38aa508bde920d23de4744a748f2598c930c44d9d1414dbd","abstract_canon_sha256":"00c40244f1c20cdcde1d8d9cd92de38e7b613c0d9f36daf558b62d49739bd643"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:29:06.003079Z","signature_b64":"psunM5A0bQN7wEW5v+BnhGiDCUP+9JgGJYc/Jn4FhT+2/IMuCB6I0Uj/giwq0ads/APPW+EzZDLr87I11pv4DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"29fbc5f428cda7858fa8958841ba551f873f4b59684f2d5a5f29e8098f97aae2","last_reissued_at":"2026-05-18T04:29:06.002398Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:29:06.002398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extrasolar planetary dynamics with a generalized planar Laplace-Lagrange secular theory","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Dimitri Veras, Philip J. Armitage","submitted_at":"2007-03-05T21:02:23Z","abstract_excerpt":"The dynamical evolution of nearly half of the known extrasolar planets in multiple-planet systems may be dominated by secular perturbations. The commonly high eccentricities of the planetary orbits calls into question the utility of the traditional Laplace-Lagrange (LL) secular theory in analyses of the motion. We analytically generalize this theory to fourth-order in the eccentricities, compare the result with the second-order theory and octupole-level theory, and apply these theories to the likely secularly-dominated HD 12661, HD 168443, HD 38529 and Ups And multi-planet systems. The fourth-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0703088","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":"astro-ph/0703088","created_at":"2026-05-18T04:29:06.002510+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0703088v1","created_at":"2026-05-18T04:29:06.002510+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0703088","created_at":"2026-05-18T04:29:06.002510+00:00"},{"alias_kind":"pith_short_12","alias_value":"FH54L5BIZWTY","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_16","alias_value":"FH54L5BIZWTYLD5I","created_at":"2026-05-18T12:25:55.427421+00:00"},{"alias_kind":"pith_short_8","alias_value":"FH54L5BI","created_at":"2026-05-18T12:25:55.427421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6","json":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6.json","graph_json":"https://pith.science/api/pith-number/FH54L5BIZWTYLD5ISWEEDOSVD6/graph.json","events_json":"https://pith.science/api/pith-number/FH54L5BIZWTYLD5ISWEEDOSVD6/events.json","paper":"https://pith.science/paper/FH54L5BI"},"agent_actions":{"view_html":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6","download_json":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6.json","view_paper":"https://pith.science/paper/FH54L5BI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/0703088&json=true","fetch_graph":"https://pith.science/api/pith-number/FH54L5BIZWTYLD5ISWEEDOSVD6/graph.json","fetch_events":"https://pith.science/api/pith-number/FH54L5BIZWTYLD5ISWEEDOSVD6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6/action/storage_attestation","attest_author":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6/action/author_attestation","sign_citation":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6/action/citation_signature","submit_replication":"https://pith.science/pith/FH54L5BIZWTYLD5ISWEEDOSVD6/action/replication_record"}},"created_at":"2026-05-18T04:29:06.002510+00:00","updated_at":"2026-05-18T04:29:06.002510+00:00"}