{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OQCII4SPNT46DXGPFMG4AG5HTI","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":"08998ba82e635e4c623ae0709df2b5c3158e2b1e30b8a1a89e1eee74d47583a4","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-05-01T15:18:37Z","title_canon_sha256":"99bdb8dfc24ffc123eb0ef856bcaedd8b77dcfe072f483ae20a0c403233cea16"},"schema_version":"1.0","source":{"id":"2405.00569","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.00569","created_at":"2026-07-05T08:14:41Z"},{"alias_kind":"arxiv_version","alias_value":"2405.00569v2","created_at":"2026-07-05T08:14:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.00569","created_at":"2026-07-05T08:14:41Z"},{"alias_kind":"pith_short_12","alias_value":"OQCII4SPNT46","created_at":"2026-07-05T08:14:41Z"},{"alias_kind":"pith_short_16","alias_value":"OQCII4SPNT46DXGP","created_at":"2026-07-05T08:14:41Z"},{"alias_kind":"pith_short_8","alias_value":"OQCII4SP","created_at":"2026-07-05T08:14:41Z"}],"graph_snapshots":[{"event_id":"sha256:a3dfe1da6cea406304f6a38fc8809b26d6ddeee65feaca171b2c33dd15a27828","target":"graph","created_at":"2026-07-05T08:14:41Z","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/2405.00569/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we introduce a novel category of central compact schemes inspired by existing cell-node and cell-centered compact finite difference schemes, that offer a superior spectral resolution for solving the dispersive wave equation. In our approach, we leverage both the function values at the cell nodes and cell centers to calculate third-order spatial derivatives at the cell nodes. To compute spatial derivatives at the cell centers, we employ a technique that involves half-shifting the indices within the formula initially designed for the cell-nodes. In contrast to the conventional com","authors_text":"Debojyoti Ghosh, Lavanya V Salian, Samala Rathan","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-05-01T15:18:37Z","title":"A novel central compact finite-difference scheme for third derivatives with high spectral resolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.00569","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:dc23df9449013aa21cd353139f2f4a3489bc8fe035b1e632615072ce25643f61","target":"record","created_at":"2026-07-05T08:14:41Z","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":"08998ba82e635e4c623ae0709df2b5c3158e2b1e30b8a1a89e1eee74d47583a4","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-05-01T15:18:37Z","title_canon_sha256":"99bdb8dfc24ffc123eb0ef856bcaedd8b77dcfe072f483ae20a0c403233cea16"},"schema_version":"1.0","source":{"id":"2405.00569","kind":"arxiv","version":2}},"canonical_sha256":"740484724f6cf9e1dccf2b0dc01ba79a29a5faf16a18ddc366624222abc64b48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"740484724f6cf9e1dccf2b0dc01ba79a29a5faf16a18ddc366624222abc64b48","first_computed_at":"2026-07-05T08:14:41.591648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:14:41.591648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TwWomx3Y7LpdForeJTamXWzlOSCI+1Ds9o/L3i/QbUTaB86Pw7ecyXjhzGs78Lcb2ROu3uFrPwwlSTrQF6gSBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:14:41.592133Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.00569","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc23df9449013aa21cd353139f2f4a3489bc8fe035b1e632615072ce25643f61","sha256:a3dfe1da6cea406304f6a38fc8809b26d6ddeee65feaca171b2c33dd15a27828"],"state_sha256":"8b906fbf77fae6b6c0f944c3d3316d3486ad3e8859fad4dd0cc0d8c517e2fdd9"}