{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CYD6QSHI5TZKJBFGWTQ5XMAIPJ","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":"4ebee8991404b9cc552be4bd345a301a8e3090b9699180d8e86e83467394efb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-07T20:52:37Z","title_canon_sha256":"2ae0ca1f31991749571408615e56347142cb6b1762fcd54cc8d62b91cbfece63"},"schema_version":"1.0","source":{"id":"1612.02417","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02417","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02417v1","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02417","created_at":"2026-05-18T00:15:30Z"},{"alias_kind":"pith_short_12","alias_value":"CYD6QSHI5TZK","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CYD6QSHI5TZKJBFG","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CYD6QSHI","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:94162fd73ea63895096ecbd750faeda475291e35ef097edba9504dd1c34cec23","target":"graph","created_at":"2026-05-18T00:15:30Z","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 show a novel systematic way to construct conservative finite difference schemes for quasilinear first-order system of ordinary differential equations with conserved quantities. In particular, this includes both autonomous and non-autonomous dynamical systems with conserved quantities of arbitrary forms, such as time-dependent conserved quantities. Sufficient conditions to construct conservative schemes of arbitrary order are derived using the multiplier method. General formulas for first-order conservative schemes are constructed using divided difference calculus. New conservative schemes a","authors_text":"Alexander Bihlo, Andy T.S. Wan, Jean-Christophe Nave","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-07T20:52:37Z","title":"Conservative methods for dynamical systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02417","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":"sha256:16faa6e4388c1cee386a30c55a16101baa155f6f2534a78c20c5a6bff782af30","target":"record","created_at":"2026-05-18T00:15:30Z","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":"4ebee8991404b9cc552be4bd345a301a8e3090b9699180d8e86e83467394efb0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-12-07T20:52:37Z","title_canon_sha256":"2ae0ca1f31991749571408615e56347142cb6b1762fcd54cc8d62b91cbfece63"},"schema_version":"1.0","source":{"id":"1612.02417","kind":"arxiv","version":1}},"canonical_sha256":"1607e848e8ecf2a484a6b4e1dbb0087a4d8502906a1ff9ea36c3ce6802f82e17","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1607e848e8ecf2a484a6b4e1dbb0087a4d8502906a1ff9ea36c3ce6802f82e17","first_computed_at":"2026-05-18T00:15:30.962472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:30.962472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8qL3YdJUjaK3L38ADjda1iVyS5//NlZCrNjrk/WUMvYXLt/dT/bynOb+eZzrXAiQ5MTu+LIJlgRay4v3+fviBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:30.963055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02417","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16faa6e4388c1cee386a30c55a16101baa155f6f2534a78c20c5a6bff782af30","sha256:94162fd73ea63895096ecbd750faeda475291e35ef097edba9504dd1c34cec23"],"state_sha256":"8aeef6e2bbb87dfbacbf0cb3cc5b646b1c6536e6c56a0e9d48622371254f4750"}