{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3LCSNIPUPEM5VSN6TROX2WB7AX","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":"32db03cd2c1df4cd92d48b52483692cb6d69a2c2196d99987bb71457b49c4374","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T01:17:01Z","title_canon_sha256":"1a8f9e0f8fa78a1cdb1565f38a64300751d2184b4eae46e1b8e678772f6132c0"},"schema_version":"1.0","source":{"id":"1302.0912","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0912","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0912v4","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0912","created_at":"2026-05-18T03:08:37Z"},{"alias_kind":"pith_short_12","alias_value":"3LCSNIPUPEM5","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3LCSNIPUPEM5VSN6","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3LCSNIPU","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:c9a9f2f10a6f1b2b3eac059d321c30fb9cf123194ca71c04ac01ce985835e31c","target":"graph","created_at":"2026-05-18T03:08:37Z","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 construct an explicit reversible symplectic integrator for the planar 3-body problem with zero angular momentum. We start with a Hamiltonian of the planar 3-body problem that is globally regularised and fully symmetry reduced. This Hamiltonian is a sum of 10 polynomials each of which can be integrated exactly, and hence a symplectic integrator is constructed. The performance of the integrator is examined with three numerical examples: The figure eight, the pythagorean orbit, and a periodic collision orbit.","authors_text":"Danya Rose, Holger Dullin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T01:17:01Z","title":"A symplectic integrator for the symmetry reduced and regularised planar 3-body problem with vanishing angular momentum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0912","kind":"arxiv","version":4},"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:c823cf34df3b92cba844d8c63bc6a70f7881753d7b35e2598176cfcaa6960f76","target":"record","created_at":"2026-05-18T03:08:37Z","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":"32db03cd2c1df4cd92d48b52483692cb6d69a2c2196d99987bb71457b49c4374","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2013-02-05T01:17:01Z","title_canon_sha256":"1a8f9e0f8fa78a1cdb1565f38a64300751d2184b4eae46e1b8e678772f6132c0"},"schema_version":"1.0","source":{"id":"1302.0912","kind":"arxiv","version":4}},"canonical_sha256":"dac526a1f47919dac9be9c5d7d583f05c53cb63d9c759a6c68ce5fbee141f880","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dac526a1f47919dac9be9c5d7d583f05c53cb63d9c759a6c68ce5fbee141f880","first_computed_at":"2026-05-18T03:08:37.992482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:37.992482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"imiBtWv5kMXMLyu5zcC5h7wiIdPzAL8vowNIrusFClUZufXOGY53EFWr09Oq/SJ35KW7obBAhaauVK0kRQABCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:37.993295Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0912","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c823cf34df3b92cba844d8c63bc6a70f7881753d7b35e2598176cfcaa6960f76","sha256:c9a9f2f10a6f1b2b3eac059d321c30fb9cf123194ca71c04ac01ce985835e31c"],"state_sha256":"9446c45f875751cc88eb7c2a238e965929ebe56c6f6dce60907bfea2b23e353c"}