{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GRG4ZZ6STWRBLB3QD6R4T5KK2D","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":"3872f0f0e7c40e870f65c99e0cc3d48753ed6713a369568cf3ea9c931cc3effd","cross_cats_sorted":["astro-ph.SR","math.DS","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-07-04T20:13:54Z","title_canon_sha256":"2fa0fb0acecf9a2fb8af409437c7972315cf7e6830d4263a2d91f2c989233cc6"},"schema_version":"1.0","source":{"id":"1107.0736","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0736","created_at":"2026-05-18T04:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0736v1","created_at":"2026-05-18T04:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0736","created_at":"2026-05-18T04:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"GRG4ZZ6STWRB","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GRG4ZZ6STWRBLB3Q","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GRG4ZZ6S","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:b57d617685f00fa6ad9f4d87853584ce4973af06aa5b12cabc0343b84491e068","target":"graph","created_at":"2026-05-18T04:18:52Z","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 investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the quadrupolar non-restricted approximation for the gravitational interactions and the viscous linear model for tides, we derive the averaged equations of motion in a vectorial formalism which is suitable to model the long-term evolution of a large variety of exoplanetary systems in very eccentric and inclined orbits. In particular, it can be used to derive con","authors_text":"Alexandre C.M. Correia, Fran\\c{c}ois Farago, Gwena\\\"el Bou\\'e, Jacques Laskar","cross_cats":["astro-ph.SR","math.DS","nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-07-04T20:13:54Z","title":"Tidal evolution of hierarchical and inclined systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0736","kind":"arxiv","version":1},"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":"sha256:5fd267bdb344c018b6338c7f098ce9035e29fac52b53ff328fc63f0147822187","target":"record","created_at":"2026-05-18T04:18:52Z","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":"3872f0f0e7c40e870f65c99e0cc3d48753ed6713a369568cf3ea9c931cc3effd","cross_cats_sorted":["astro-ph.SR","math.DS","nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2011-07-04T20:13:54Z","title_canon_sha256":"2fa0fb0acecf9a2fb8af409437c7972315cf7e6830d4263a2d91f2c989233cc6"},"schema_version":"1.0","source":{"id":"1107.0736","kind":"arxiv","version":1}},"canonical_sha256":"344dcce7d29da21587701fa3c9f54ad0da5dc24867a23e452608756ba700e89f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"344dcce7d29da21587701fa3c9f54ad0da5dc24867a23e452608756ba700e89f","first_computed_at":"2026-05-18T04:18:52.759218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:52.759218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sAcFvziirD8ZckycCHF7//b5Audu5dLGv+gEwveUFq7wi5iNrc7jlAIOFMJMuiXW98Sjts4f31E1bD+TFH04DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:52.759624Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0736","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fd267bdb344c018b6338c7f098ce9035e29fac52b53ff328fc63f0147822187","sha256:b57d617685f00fa6ad9f4d87853584ce4973af06aa5b12cabc0343b84491e068"],"state_sha256":"48d8141937bea6ed63b7ebabe4f5f08d3706177e228d238e883befdcf31f656e"}