{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WSRQ7A66SIRZYFCQ2USWVDJNX4","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":"ad775572af4467693c2c596e74f28d5f86b3ef6c42836d4fa50d2529559fee20","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-08-11T19:14:34Z","title_canon_sha256":"0f65f73d2a5cda74773b7564949f8d69ddfb4084b675b95b2eea5d263b3a5256"},"schema_version":"1.0","source":{"id":"2108.05420","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2108.05420","created_at":"2026-07-05T04:48:35Z"},{"alias_kind":"arxiv_version","alias_value":"2108.05420v2","created_at":"2026-07-05T04:48:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2108.05420","created_at":"2026-07-05T04:48:35Z"},{"alias_kind":"pith_short_12","alias_value":"WSRQ7A66SIRZ","created_at":"2026-07-05T04:48:35Z"},{"alias_kind":"pith_short_16","alias_value":"WSRQ7A66SIRZYFCQ","created_at":"2026-07-05T04:48:35Z"},{"alias_kind":"pith_short_8","alias_value":"WSRQ7A66","created_at":"2026-07-05T04:48:35Z"}],"graph_snapshots":[{"event_id":"sha256:0ec49d1e100d7887c590f2df0c0a85711b116db5006d9f471399ea9afca57723","target":"graph","created_at":"2026-07-05T04:48:35Z","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/2108.05420/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A fixed time-step variational integrator cannot preserve momentum, energy, and symplectic form simultaneously for nonintegrable systems. This barrier can be overcome by treating time as a discrete dynamic variable and deriving adaptive time-step variational integrators that conserve the energy in addition to being symplectic and momentum-preserving. Their utility, however, is still an open question due to the numerical difficulties associated with solving the discrete governing equations. In this work, we investigate the numerical performance of energy-preserving, adaptive time-step variationa","authors_text":"Craig Woolsey, Harsh Sharma, Jeff Borggaard, Mayuresh Patil","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-08-11T19:14:34Z","title":"Performance Assessment of Energy-preserving, Adaptive Time-step Variational Integrators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2108.05420","kind":"arxiv","version":2},"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:a920dedfeb870dfae85de416734dd18345a8ffefbc8319582e673a88936c68bc","target":"record","created_at":"2026-07-05T04:48:35Z","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":"ad775572af4467693c2c596e74f28d5f86b3ef6c42836d4fa50d2529559fee20","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2021-08-11T19:14:34Z","title_canon_sha256":"0f65f73d2a5cda74773b7564949f8d69ddfb4084b675b95b2eea5d263b3a5256"},"schema_version":"1.0","source":{"id":"2108.05420","kind":"arxiv","version":2}},"canonical_sha256":"b4a30f83de92239c1450d5256a8d2dbf3c7da42641b0ebe27c1f0fe42fde223a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4a30f83de92239c1450d5256a8d2dbf3c7da42641b0ebe27c1f0fe42fde223a","first_computed_at":"2026-07-05T04:48:35.252189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:48:35.252189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rb+eJrsI0VEGo6Ia1k1usrvXX0WGJa7WbJpgO3ldfje7FKsOHSC8C+8HDLCyp02GIsfE6M2rBBIiffqfvoQTCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:48:35.252602Z","signed_message":"canonical_sha256_bytes"},"source_id":"2108.05420","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a920dedfeb870dfae85de416734dd18345a8ffefbc8319582e673a88936c68bc","sha256:0ec49d1e100d7887c590f2df0c0a85711b116db5006d9f471399ea9afca57723"],"state_sha256":"1549e1dddca60e20601a7f45fb6eba2ece05ce52b3a4e5aa0282c77e07bb51cf"}