{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SN2YBZ7UF6JZQOREBVISBA3LF7","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":"595a2dbdf45ac2955e0b072372eafe849778b4eb54586dec002bc979ebfee91b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-15T19:43:23Z","title_canon_sha256":"4408188fce577f569a2ab286df3bb125c12c39e10f717019a5ca94a5e1c8d371"},"schema_version":"1.0","source":{"id":"2311.09332","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.09332","created_at":"2026-07-05T07:13:13Z"},{"alias_kind":"arxiv_version","alias_value":"2311.09332v1","created_at":"2026-07-05T07:13:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.09332","created_at":"2026-07-05T07:13:13Z"},{"alias_kind":"pith_short_12","alias_value":"SN2YBZ7UF6JZ","created_at":"2026-07-05T07:13:13Z"},{"alias_kind":"pith_short_16","alias_value":"SN2YBZ7UF6JZQORE","created_at":"2026-07-05T07:13:13Z"},{"alias_kind":"pith_short_8","alias_value":"SN2YBZ7U","created_at":"2026-07-05T07:13:13Z"}],"graph_snapshots":[{"event_id":"sha256:7184ef97fd8504f129518980af0c33d01502c7d72bf025014e8a0b306d095b60","target":"graph","created_at":"2026-07-05T07:13:13Z","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/2311.09332/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article, we propose a modified convex combination of the polynomial reconstructions of odd-order WENO schemes to maintain the central substencil prevalence over the lateral ones in all parts of the solution. New \"centered\" versions of the classical WENO-Z and its less dissipative counterpart, WENO-Z+, are defined through very simple modifications of the classical nonlinear weights and show significantly superior numerical properties; for instance, a well-known dispersion error for long-term runs is fixed, along with decreased dissipation and better shock-capturing abilities. Moreover, ","authors_text":"Bruno Costa, Daniel Barreto, Rafael B. de R. Borges, Silvaneo dos Santos","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-15T19:43:23Z","title":"New Weighting Strategies for WENO Schemes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.09332","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":"sha256:8cf6992aa0ff54507d9142c7b25543f14c4cbf92cd170f6a5bfcdf9877364b0a","target":"record","created_at":"2026-07-05T07:13:13Z","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":"595a2dbdf45ac2955e0b072372eafe849778b4eb54586dec002bc979ebfee91b","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2023-11-15T19:43:23Z","title_canon_sha256":"4408188fce577f569a2ab286df3bb125c12c39e10f717019a5ca94a5e1c8d371"},"schema_version":"1.0","source":{"id":"2311.09332","kind":"arxiv","version":1}},"canonical_sha256":"937580e7f42f93983a240d5120836b2fd068018cddc06b25e996a9a4900ca4bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"937580e7f42f93983a240d5120836b2fd068018cddc06b25e996a9a4900ca4bc","first_computed_at":"2026-07-05T07:13:13.079481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:13:13.079481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7UDDqJYhEtfr7TsAhib3hv6/8s3MF4BaqLhskLYXVkzz79/pUR8hyn2wKp0InCFP/VTf8vJOcpPy7sQUdvUxCA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:13:13.079939Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.09332","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cf6992aa0ff54507d9142c7b25543f14c4cbf92cd170f6a5bfcdf9877364b0a","sha256:7184ef97fd8504f129518980af0c33d01502c7d72bf025014e8a0b306d095b60"],"state_sha256":"983b445794a009d85248f6fdca17592babe64393a27bb6bb8c77c561f3aa31d0"}