{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:R5VIRWWDTGNZCMTIVYH6RLBGDQ","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":"24f587a1b1c25b1cb423f4dcdcd43deaf1d55ef28f7a4fa5d87626525e9e1634","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-02-13T22:24:42Z","title_canon_sha256":"5d22b969b6b5af98da8c7e25da69a33d486983d29445418a665491a94165ff67"},"schema_version":"1.0","source":{"id":"1402.3325","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3325","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3325v1","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3325","created_at":"2026-05-18T01:44:38Z"},{"alias_kind":"pith_short_12","alias_value":"R5VIRWWDTGNZ","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"R5VIRWWDTGNZCMTI","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"R5VIRWWD","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:2cef88b8d6d0e85f498f9b1d31c82853a6b7e500902deb5fc4afe78c588efbe4","target":"graph","created_at":"2026-05-18T01:44:38Z","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 developed a Keplerian-based Hamiltonian splitting for solving the gravitational $N$-body problem. This splitting allows us to approximate the solution of a general $N$-body problem by a composition of multiple, independently evolved $2$-body problems. While the Hamiltonian splitting is exact, we show that the composition of independent $2$-body problems results in a non-symplectic non-time-symmetric first-order map. A time-symmetric second-order map is then constructed by composing this basic first-order map with its self-adjoint. The resulting method is precise for each individual $2$-body","authors_text":"2), (2) Instituto de F\\'isica, Brazil), G. Gon\\c{c}alves Ferrari (1, Leiden University, Porto Alegre, S.F. Portegies Zwart (1) ((1) Leiden Observatory, T. Boekholt (1), The Netherlands, Universidade Federal do Rio Grande do Sul","cross_cats":["physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-02-13T22:24:42Z","title":"A Keplerian-based Hamiltonian Splitting for Gravitational $N$-body Simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3325","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":"sha256:26c8f5e104ea943d41f30cc5ef785373cf857133539f4dd9b0bc2b9190f35d31","target":"record","created_at":"2026-05-18T01:44:38Z","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":"24f587a1b1c25b1cb423f4dcdcd43deaf1d55ef28f7a4fa5d87626525e9e1634","cross_cats_sorted":["physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-02-13T22:24:42Z","title_canon_sha256":"5d22b969b6b5af98da8c7e25da69a33d486983d29445418a665491a94165ff67"},"schema_version":"1.0","source":{"id":"1402.3325","kind":"arxiv","version":1}},"canonical_sha256":"8f6a88dac3999b913268ae0fe8ac261c17d870197c65f8cd16c7deed966fd921","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f6a88dac3999b913268ae0fe8ac261c17d870197c65f8cd16c7deed966fd921","first_computed_at":"2026-05-18T01:44:38.285964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:38.285964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hIXzDbdLq+OSy2Es93GY7mYLkBgYM1xvC/soqJwLWfLdZ7Vk4BqznIgfrl0Z28L5CQV40fpyOUHl+fqvd3gRAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:38.286491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3325","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26c8f5e104ea943d41f30cc5ef785373cf857133539f4dd9b0bc2b9190f35d31","sha256:2cef88b8d6d0e85f498f9b1d31c82853a6b7e500902deb5fc4afe78c588efbe4"],"state_sha256":"08a51dbd3194650bc47cf1afdcfdd25ef03b03b72a2e02f52335bccd9c22b6f0"}