{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RAZJAZO7IVVFVJ24KEEWEVGHP3","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":"7b1160bce6ffcc51b4b36d907261049fcb6f8dc49a60836dca7d94afcdcf7c66","cross_cats_sorted":["math-ph","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-13T18:50:18Z","title_canon_sha256":"15774d0d62bb00cb7cdeb2acfcb44765d9507e093fdaeca093cb3c64f05e5ac4"},"schema_version":"1.0","source":{"id":"1508.03303","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.03303","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"arxiv_version","alias_value":"1508.03303v1","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03303","created_at":"2026-05-18T01:35:21Z"},{"alias_kind":"pith_short_12","alias_value":"RAZJAZO7IVVF","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RAZJAZO7IVVFVJ24","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RAZJAZO7","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:9be2c5a3d5f4bca68cac4ebb3af7c5a7e7e3a1594b142ce6f3eb9dc683f6f3a7","target":"graph","created_at":"2026-05-18T01:35:21Z","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 implement and investigate the numerical properties of a new family of integrators connecting both variants of the symplectic Euler schemes, and including an alternative to the classical symplectic mid-point scheme, with some additional terms. This family is derived from a new method, introduced in a previous study, for generating symplectic integrators based on the concept of special symplectic manifold. The use of symplectic rotations and a particular type of projection keeps the whole procedure within the symplectic framework.\n  We show that it is possible to define a set of parameters th","authors_text":"Barbara Romanowicz, Hugo Jim\\'enez-P\\'erez, Jean-Pierre Vilotte","cross_cats":["math-ph","math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-13T18:50:18Z","title":"New insights on numerical error in symplectic integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03303","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":"sha256:58a95a39f3d5b4a5a85973e5cd7e8c5aadfc775c1abf2c3c3581c1b0259f7821","target":"record","created_at":"2026-05-18T01:35:21Z","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":"7b1160bce6ffcc51b4b36d907261049fcb6f8dc49a60836dca7d94afcdcf7c66","cross_cats_sorted":["math-ph","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-08-13T18:50:18Z","title_canon_sha256":"15774d0d62bb00cb7cdeb2acfcb44765d9507e093fdaeca093cb3c64f05e5ac4"},"schema_version":"1.0","source":{"id":"1508.03303","kind":"arxiv","version":1}},"canonical_sha256":"88329065df456a5aa75c51096254c77ef14a80a2fc353e1c5f7e14ff08c6634f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88329065df456a5aa75c51096254c77ef14a80a2fc353e1c5f7e14ff08c6634f","first_computed_at":"2026-05-18T01:35:21.140092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:21.140092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uyjebAvBKK8ktzhuD/Rmu22XiQYUj/0cMIuQ21QbYe+L0iSN6xCkZyw9hzJU6QNuKuPvKuwUfoth9QaodFtzAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:21.140950Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.03303","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58a95a39f3d5b4a5a85973e5cd7e8c5aadfc775c1abf2c3c3581c1b0259f7821","sha256:9be2c5a3d5f4bca68cac4ebb3af7c5a7e7e3a1594b142ce6f3eb9dc683f6f3a7"],"state_sha256":"44b89639f7e980b7bcd85ab9b6418a8f5f48fd550cb5c841f972a83fe87f7eb9"}