{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:QN6ZM35RKQPK25PKFK7NPFLOVT","short_pith_number":"pith:QN6ZM35R","schema_version":"1.0","canonical_sha256":"837d966fb1541ead75ea2abed7956eace6bf15c7d32d726b51041d8c3b1cd84b","source":{"kind":"arxiv","id":"2508.02033","version":1},"attestation_state":"computed","paper":{"title":"A Third-Order Weighted Essentially Non-Oscillatory Compact Least-Squares Scheme for Hyperbolic Conservation Laws on Non-Uniform Grids","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Jianhua Pana, Luxin Li, Wei-Gang Zeng","submitted_at":"2025-08-04T04:01:41Z","abstract_excerpt":"A third-order weighted essentially non-oscillatory compact least-squares scheme is developed for the finite volume method on structured curvilinear non-uniform grids. The proposed scheme features compact least-squares reconstruction with optimal linear weights for broad-spectrum accuracy and non-linear weights for essentially non-oscillatory property. Through explicit second-order polynomials given for each control volume, the scheme maintains high accuracy on structured meshes with non-uniform grids. By integrating an improved shock detector developed in this work, coefficients with adaptive "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2508.02033","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2025-08-04T04:01:41Z","cross_cats_sorted":["physics.comp-ph"],"title_canon_sha256":"070e7881b36a6ceb4dab55c02e8128801783f56ce3c10c8c3e08eee58835bdc5","abstract_canon_sha256":"6fb32d142b7f1644d6d7b85d5ba3824f2ab038a6227516ae95af40d7949d2513"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:47:49.904060Z","signature_b64":"6aLY5Yb0hxYLWoDuRHR4VBwFRybSGc+Auv4eW+PJ9nPdj9mKNkrj8uE0vaSmyDF0q3u20POkEKpGBOa9If1IAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"837d966fb1541ead75ea2abed7956eace6bf15c7d32d726b51041d8c3b1cd84b","last_reissued_at":"2026-07-05T11:47:49.903598Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:47:49.903598Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Third-Order Weighted Essentially Non-Oscillatory Compact Least-Squares Scheme for Hyperbolic Conservation Laws on Non-Uniform Grids","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Jianhua Pana, Luxin Li, Wei-Gang Zeng","submitted_at":"2025-08-04T04:01:41Z","abstract_excerpt":"A third-order weighted essentially non-oscillatory compact least-squares scheme is developed for the finite volume method on structured curvilinear non-uniform grids. The proposed scheme features compact least-squares reconstruction with optimal linear weights for broad-spectrum accuracy and non-linear weights for essentially non-oscillatory property. Through explicit second-order polynomials given for each control volume, the scheme maintains high accuracy on structured meshes with non-uniform grids. By integrating an improved shock detector developed in this work, coefficients with adaptive "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.02033","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.02033/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2508.02033","created_at":"2026-07-05T11:47:49.903661+00:00"},{"alias_kind":"arxiv_version","alias_value":"2508.02033v1","created_at":"2026-07-05T11:47:49.903661+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.02033","created_at":"2026-07-05T11:47:49.903661+00:00"},{"alias_kind":"pith_short_12","alias_value":"QN6ZM35RKQPK","created_at":"2026-07-05T11:47:49.903661+00:00"},{"alias_kind":"pith_short_16","alias_value":"QN6ZM35RKQPK25PK","created_at":"2026-07-05T11:47:49.903661+00:00"},{"alias_kind":"pith_short_8","alias_value":"QN6ZM35R","created_at":"2026-07-05T11:47:49.903661+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.08117","citing_title":"High-Resolution Weighted Essentially Non-Oscillatory Compact Least-Squares Schemes with Implicit Time Integration for Compressible Navier-Stokes Equations on Curvilinear Grids","ref_index":16,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT","json":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT.json","graph_json":"https://pith.science/api/pith-number/QN6ZM35RKQPK25PKFK7NPFLOVT/graph.json","events_json":"https://pith.science/api/pith-number/QN6ZM35RKQPK25PKFK7NPFLOVT/events.json","paper":"https://pith.science/paper/QN6ZM35R"},"agent_actions":{"view_html":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT","download_json":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT.json","view_paper":"https://pith.science/paper/QN6ZM35R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2508.02033&json=true","fetch_graph":"https://pith.science/api/pith-number/QN6ZM35RKQPK25PKFK7NPFLOVT/graph.json","fetch_events":"https://pith.science/api/pith-number/QN6ZM35RKQPK25PKFK7NPFLOVT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT/action/storage_attestation","attest_author":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT/action/author_attestation","sign_citation":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT/action/citation_signature","submit_replication":"https://pith.science/pith/QN6ZM35RKQPK25PKFK7NPFLOVT/action/replication_record"}},"created_at":"2026-07-05T11:47:49.903661+00:00","updated_at":"2026-07-05T11:47:49.903661+00:00"}