{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:AL4OPSU7JS7WRUZZJTAWLKC4H4","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":"673b3bb327559b60fa67aeac5b9cc87dd162fc6bdafa8b65fbeb537e83be45ff","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-08-08T00:52:46Z","title_canon_sha256":"484ddd3bf6c24ec785763308eb2a71a28b4a4fd24b9359ce5e63157cbc1f3056"},"schema_version":"1.0","source":{"id":"1908.02890","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02890","created_at":"2026-07-05T00:13:52Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02890v1","created_at":"2026-07-05T00:13:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02890","created_at":"2026-07-05T00:13:52Z"},{"alias_kind":"pith_short_12","alias_value":"AL4OPSU7JS7W","created_at":"2026-07-05T00:13:52Z"},{"alias_kind":"pith_short_16","alias_value":"AL4OPSU7JS7WRUZZ","created_at":"2026-07-05T00:13:52Z"},{"alias_kind":"pith_short_8","alias_value":"AL4OPSU7","created_at":"2026-07-05T00:13:52Z"}],"graph_snapshots":[{"event_id":"sha256:796c45f7a6f0af1fe5ad56292f75a002e4b15a67edbe91a822aa9e3114cffa8d","target":"graph","created_at":"2026-07-05T00:13:52Z","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/1908.02890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A unified approach to derive optimal finite differences is presented which combines three critical elements for numerical performance especially for multi-scale physical problems, namely, order of accuracy, spectral resolution and stability. The resulting mathematical framework reduces to a minimization problem subjected to equality and inequality constraints. We show that the framework can provide analytical results for optimal schemes and their numerical performance including, for example, the type of errors that appear for spectrally optimal schemes. By coupling the problem in this unified ","authors_text":"Diego A. Donzis, Komal Kumari, Raktim Bhattacharya","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-08-08T00:52:46Z","title":"A Unified Approach for Deriving Optimal Finite Differences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02890","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:fe691ec96ee29ddd845424efac7a98f0d9f70594ff8b81f136f8179b180ff32f","target":"record","created_at":"2026-07-05T00:13:52Z","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":"673b3bb327559b60fa67aeac5b9cc87dd162fc6bdafa8b65fbeb537e83be45ff","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-08-08T00:52:46Z","title_canon_sha256":"484ddd3bf6c24ec785763308eb2a71a28b4a4fd24b9359ce5e63157cbc1f3056"},"schema_version":"1.0","source":{"id":"1908.02890","kind":"arxiv","version":1}},"canonical_sha256":"02f8e7ca9f4cbf68d3394cc165a85c3f3d6ec3b1427dfdc3ea7bafda67fabcc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02f8e7ca9f4cbf68d3394cc165a85c3f3d6ec3b1427dfdc3ea7bafda67fabcc6","first_computed_at":"2026-07-05T00:13:52.925542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:13:52.925542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9bgRwWL/W2BUboq146tjG3Su+x1vmFM0WMHcJfL6U2fi9CS5shzZYOcf1AkXrHSFsQLm285K26KGEiEj77PNBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:13:52.925939Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02890","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe691ec96ee29ddd845424efac7a98f0d9f70594ff8b81f136f8179b180ff32f","sha256:796c45f7a6f0af1fe5ad56292f75a002e4b15a67edbe91a822aa9e3114cffa8d"],"state_sha256":"f8a8e07ae8cae023178032eb7f71b9ee5a17f1597078a4b7a42b39a51b7addba"}