{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:WAP7TYDN3GME4LRRRXASICL6AP","short_pith_number":"pith:WAP7TYDN","schema_version":"1.0","canonical_sha256":"b01ff9e06dd9984e2e318dc124097e03f9669cf37a002ad058b0e0ab884392b6","source":{"kind":"arxiv","id":"2412.18685","version":1},"attestation_state":"computed","paper":{"title":"Scalable optimal control for inequality-constrained discretizations of scalar conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Denis Ridzal, Dmitri Kuzmin, Falko Ruppenthal, Pavel Bochev","submitted_at":"2024-12-24T21:11:39Z","abstract_excerpt":"Optimization-based (OB) alternatives to traditional flux limiters couch preservation of properties such as local bounds and maximum principles into optimization problems, which impose these properties through inequality constraints. In this paper, we propose a new potential-target OB approach that enforces these properties using an optimal control formulation, in which the control is the source term expressed through flux potentials. The resulting OB formulation combines superb accuracy with excellent local conservation properties, but complicates the development of scalable iterative solvers,"},"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":"2412.18685","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2024-12-24T21:11:39Z","cross_cats_sorted":[],"title_canon_sha256":"a330922922d74ed13ce7cf19ab300829f190d6c5d461ed9c192c3335713013c6","abstract_canon_sha256":"8de75d4af865ce4178536664c9d1f060874a9d6d70e16cc74f4db346b088f80c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:54:09.043395Z","signature_b64":"XC4YbTgDoX3xLz98l+DhR1rvqefYGiuv9oimk2hOE0dTzwtFRN093laM8HQfkKNuraeG4fMYYN7AMdYmw1RkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b01ff9e06dd9984e2e318dc124097e03f9669cf37a002ad058b0e0ab884392b6","last_reissued_at":"2026-07-05T09:54:09.043045Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:54:09.043045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scalable optimal control for inequality-constrained discretizations of scalar conservation laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Denis Ridzal, Dmitri Kuzmin, Falko Ruppenthal, Pavel Bochev","submitted_at":"2024-12-24T21:11:39Z","abstract_excerpt":"Optimization-based (OB) alternatives to traditional flux limiters couch preservation of properties such as local bounds and maximum principles into optimization problems, which impose these properties through inequality constraints. In this paper, we propose a new potential-target OB approach that enforces these properties using an optimal control formulation, in which the control is the source term expressed through flux potentials. The resulting OB formulation combines superb accuracy with excellent local conservation properties, but complicates the development of scalable iterative solvers,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18685","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/2412.18685/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":"2412.18685","created_at":"2026-07-05T09:54:09.043098+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.18685v1","created_at":"2026-07-05T09:54:09.043098+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18685","created_at":"2026-07-05T09:54:09.043098+00:00"},{"alias_kind":"pith_short_12","alias_value":"WAP7TYDN3GME","created_at":"2026-07-05T09:54:09.043098+00:00"},{"alias_kind":"pith_short_16","alias_value":"WAP7TYDN3GME4LRR","created_at":"2026-07-05T09:54:09.043098+00:00"},{"alias_kind":"pith_short_8","alias_value":"WAP7TYDN","created_at":"2026-07-05T09:54:09.043098+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP","json":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP.json","graph_json":"https://pith.science/api/pith-number/WAP7TYDN3GME4LRRRXASICL6AP/graph.json","events_json":"https://pith.science/api/pith-number/WAP7TYDN3GME4LRRRXASICL6AP/events.json","paper":"https://pith.science/paper/WAP7TYDN"},"agent_actions":{"view_html":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP","download_json":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP.json","view_paper":"https://pith.science/paper/WAP7TYDN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.18685&json=true","fetch_graph":"https://pith.science/api/pith-number/WAP7TYDN3GME4LRRRXASICL6AP/graph.json","fetch_events":"https://pith.science/api/pith-number/WAP7TYDN3GME4LRRRXASICL6AP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP/action/storage_attestation","attest_author":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP/action/author_attestation","sign_citation":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP/action/citation_signature","submit_replication":"https://pith.science/pith/WAP7TYDN3GME4LRRRXASICL6AP/action/replication_record"}},"created_at":"2026-07-05T09:54:09.043098+00:00","updated_at":"2026-07-05T09:54:09.043098+00:00"}