{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:O6AMIRRMHNDLVNSEGGPC2W6IPE","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":"a6f8516e7c968411811939cbdd3f576fb5de7c0ca9037a399794c7969c458a62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-12-11T10:41:25Z","title_canon_sha256":"6eda5e3a14197d15cb9599d3a71b34773e20da0054acce9d0767b3358512e661"},"schema_version":"1.0","source":{"id":"1512.03585","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.03585","created_at":"2026-05-18T01:22:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.03585v1","created_at":"2026-05-18T01:22:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.03585","created_at":"2026-05-18T01:22:32Z"},{"alias_kind":"pith_short_12","alias_value":"O6AMIRRMHNDL","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"O6AMIRRMHNDLVNSE","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"O6AMIRRM","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:8f9a16490b0d0c56728d3886cdb3339b00d9ffa8a3e208943676f43234210be5","target":"graph","created_at":"2026-05-18T01:22:32Z","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 analyse the secular dynamics of planets on S-type coplanar orbits in tight binary systems, based on first- and second-order analytical models, and compare their predictions with full N-body simulations. The perturbation parameter adopted for the development of these models depends on the masses of the stars and on the semimajor axis ratio between the planet and the binary.\n  We show that each model has both advantages and limitations. While the first-order analytical model is algebraically simple and easy to implement, it is only applicable in regions of the parameter space where the pertur","authors_text":"Cristian Beaug\\'e, Eduardo Andrade-Ines, Philippe Robutel, Tatiana Michtchenko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-12-11T10:41:25Z","title":"Secular Dynamics of S-type Planetary Orbits in Binary Star Systems: Applicability Domains of First- and Second-Order Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.03585","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":"sha256:719c8aeb7b96419ca6429e5cb24dd8c8b704112a8c2077644fca8017717bc72e","target":"record","created_at":"2026-05-18T01:22:32Z","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":"a6f8516e7c968411811939cbdd3f576fb5de7c0ca9037a399794c7969c458a62","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2015-12-11T10:41:25Z","title_canon_sha256":"6eda5e3a14197d15cb9599d3a71b34773e20da0054acce9d0767b3358512e661"},"schema_version":"1.0","source":{"id":"1512.03585","kind":"arxiv","version":1}},"canonical_sha256":"7780c4462c3b46bab644319e2d5bc87928fe9e59897e73b234b7aac508eb5a13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7780c4462c3b46bab644319e2d5bc87928fe9e59897e73b234b7aac508eb5a13","first_computed_at":"2026-05-18T01:22:32.418106Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:32.418106Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RxkKT2fMD8xHbqchk8r9Kvn1CUj7Q9qV7txgafcve1273S+j7Puhv3oEsIfgXM/DZOnVSqkoenDRTCFgGaGCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:32.418555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.03585","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:719c8aeb7b96419ca6429e5cb24dd8c8b704112a8c2077644fca8017717bc72e","sha256:8f9a16490b0d0c56728d3886cdb3339b00d9ffa8a3e208943676f43234210be5"],"state_sha256":"2a2f2640726479678cb4cc8c33f5313a698b60848211a4a1c16d96dbe35667c1"}