{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HWL75BUJIZBBJJUV4LL6MGKD4E","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":"2c58843b231e4a49b6ffab25859d88c685dbb3c5c050f1b07f0c95aefb640d55","cross_cats_sorted":["astro-ph.IM","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2024-01-05T15:07:45Z","title_canon_sha256":"b9fe301ab714c9eab3e95858650151e606acd0e05970b4e54f306886edfaf936"},"schema_version":"1.0","source":{"id":"2401.02849","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.02849","created_at":"2026-07-05T07:30:59Z"},{"alias_kind":"arxiv_version","alias_value":"2401.02849v1","created_at":"2026-07-05T07:30:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.02849","created_at":"2026-07-05T07:30:59Z"},{"alias_kind":"pith_short_12","alias_value":"HWL75BUJIZBB","created_at":"2026-07-05T07:30:59Z"},{"alias_kind":"pith_short_16","alias_value":"HWL75BUJIZBBJJUV","created_at":"2026-07-05T07:30:59Z"},{"alias_kind":"pith_short_8","alias_value":"HWL75BUJ","created_at":"2026-07-05T07:30:59Z"}],"graph_snapshots":[{"event_id":"sha256:b645393406cf72e6e6faa9ebffda8150b98755a73f7021f90e9a27c95bca44c5","target":"graph","created_at":"2026-07-05T07:30:59Z","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/2401.02849/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a new criterion for estimating characteristic dynamical timescales in N-body simulations. The criterion uses the second, third, and fourth derivatives of particle positions: acceleration, jerk, and snap. It can be used for choosing timesteps in integrators with adaptive step size control. For any two-body problem the criterion is guaranteed to determine the orbital period and pericenter timescale regardless of eccentricity. We discuss why our criterion is the simplest derivative-based expression for choosing adaptive timesteps with the above properties and show its superior performan","authors_text":"Dang Pham, David S. Spiegel, Hanno Rein","cross_cats":["astro-ph.IM","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2024-01-05T15:07:45Z","title":"A new timestep criterion for N-body simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.02849","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":"sha256:69d4b23d864b7a38acae6e33e40669f7aa59827c3653925e3394048d87690205","target":"record","created_at":"2026-07-05T07:30:59Z","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":"2c58843b231e4a49b6ffab25859d88c685dbb3c5c050f1b07f0c95aefb640d55","cross_cats_sorted":["astro-ph.IM","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2024-01-05T15:07:45Z","title_canon_sha256":"b9fe301ab714c9eab3e95858650151e606acd0e05970b4e54f306886edfaf936"},"schema_version":"1.0","source":{"id":"2401.02849","kind":"arxiv","version":1}},"canonical_sha256":"3d97fe8689464214a695e2d7e61943e12afaeba5ee42a58bad8094ca44f90a28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d97fe8689464214a695e2d7e61943e12afaeba5ee42a58bad8094ca44f90a28","first_computed_at":"2026-07-05T07:30:59.921177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:30:59.921177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ceMiZLPCdnxbtL171g6FWJnmlMkNp2YBwQftKZIcTm0xFM+wlm7JSGnG60zt5FsZtE7I/VEQmRdRyjX19BINAw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:30:59.921666Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.02849","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69d4b23d864b7a38acae6e33e40669f7aa59827c3653925e3394048d87690205","sha256:b645393406cf72e6e6faa9ebffda8150b98755a73f7021f90e9a27c95bca44c5"],"state_sha256":"ba257a5e17de977b46c5d90e3f2a912bac779a1b700d767af6bcea3aed66ce94"}