{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PSA23SZTHDESKV42JAQKSBYONO","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":"50aa978bc4e70da78d4a1fe08c5c76c7b60c925ceac43eb7967d081966595567","cross_cats_sorted":["astro-ph.IM","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2019-07-25T23:23:56Z","title_canon_sha256":"18c763e08228dfdeaca01f465a4ab99fada65fe8d1fb7dec52846b79182f1528"},"schema_version":"1.0","source":{"id":"1907.11335","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.11335","created_at":"2026-07-05T00:08:35Z"},{"alias_kind":"arxiv_version","alias_value":"1907.11335v2","created_at":"2026-07-05T00:08:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.11335","created_at":"2026-07-05T00:08:35Z"},{"alias_kind":"pith_short_12","alias_value":"PSA23SZTHDES","created_at":"2026-07-05T00:08:35Z"},{"alias_kind":"pith_short_16","alias_value":"PSA23SZTHDESKV42","created_at":"2026-07-05T00:08:35Z"},{"alias_kind":"pith_short_8","alias_value":"PSA23SZT","created_at":"2026-07-05T00:08:35Z"}],"graph_snapshots":[{"event_id":"sha256:d1c92aa7409bcd9b53f259cde9aff988816c1742f42be428d71f684dd93d074e","target":"graph","created_at":"2026-07-05T00:08:35Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1907.11335/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Direct N-body simulations and symplectic integrators are effective tools to study the long-term evolution of planetary systems. The Wisdom-Holman (WH) integrator in particular has been used extensively in planetary dynamics as it allows for large timesteps at good accuracy. One can extend the WH method to achieve even higher accuracy using several different approaches. In this paper we survey integrators developed by Wisdom et al. (1996), Laskar & Robutel (2001, and Blanes et al. (2013). Since some of these methods are harder to implement and not as readily available to astronomers compared to","authors_text":"Daniel Tamayo, Garett Brown, Hanno Rein","cross_cats":["astro-ph.IM","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2019-07-25T23:23:56Z","title":"High order symplectic integrators for planetary dynamics and their implementation in REBOUND"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.11335","kind":"arxiv","version":2},"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:fe44620725115c9bb9f839c20cb75207af3d4cf3df928e3d92ca714df933d1c2","target":"record","created_at":"2026-07-05T00:08:35Z","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":"50aa978bc4e70da78d4a1fe08c5c76c7b60c925ceac43eb7967d081966595567","cross_cats_sorted":["astro-ph.IM","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2019-07-25T23:23:56Z","title_canon_sha256":"18c763e08228dfdeaca01f465a4ab99fada65fe8d1fb7dec52846b79182f1528"},"schema_version":"1.0","source":{"id":"1907.11335","kind":"arxiv","version":2}},"canonical_sha256":"7c81adcb3338c925579a4820a9070e6ba3f197db1e27cbbf3fd73481ec5e9c56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c81adcb3338c925579a4820a9070e6ba3f197db1e27cbbf3fd73481ec5e9c56","first_computed_at":"2026-07-05T00:08:35.724389Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:08:35.724389Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JGeuO7R8jKtb2/ElBw3QexuClBzvGveAxe9OOJrHY7JC3UUS8ay865ajxtaLdJZOgiAzi96jNdpqFzkQllb4Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T00:08:35.724859Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.11335","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe44620725115c9bb9f839c20cb75207af3d4cf3df928e3d92ca714df933d1c2","sha256:d1c92aa7409bcd9b53f259cde9aff988816c1742f42be428d71f684dd93d074e"],"state_sha256":"1d76ec06a44ff5949324e681db0689ebc55092d2a90c020c9c4dd30c0aa442c4"}