{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:PJU5TPHC3EJEN7SNIAA2TBEQFO","short_pith_number":"pith:PJU5TPHC","schema_version":"1.0","canonical_sha256":"7a69d9bce2d91246fe4d4001a984902bb17627de31fe40dcfbdb60657a1f962d","source":{"kind":"arxiv","id":"2412.18475","version":2},"attestation_state":"computed","paper":{"title":"A positivity preserving second-order scheme for multi-dimensional system of non-local conservation laws","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"G. D. Veerappa Gowda, Nikhil Manoj, Sudarshan Kumar K","submitted_at":"2024-12-24T14:58:37Z","abstract_excerpt":"Non-local systems of conservation laws play a crucial role in modeling flow mechanisms across various scenarios. The well-posedness of such problems is typically established by demonstrating the convergence of robust first-order schemes. However, achieving more accurate solutions necessitates the development of higher-order schemes. In this article, we present a fully discrete, second-order scheme for a general class of non-local conservation law systems in multiple spatial dimensions. The method employs a MUSCL-type spatial reconstruction coupled with Runge-Kutta time integration. The propose"},"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":"2412.18475","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NA","submitted_at":"2024-12-24T14:58:37Z","cross_cats_sorted":["cs.NA","math.AP"],"title_canon_sha256":"fe72e958597545c7e2f1e5f97ecedab90cce5cef9ca0732a2a33a976367139cb","abstract_canon_sha256":"9eedd90203178792b49563e36279d68989099a5210a3bfbc48e879c2195423cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:56:58.221545Z","signature_b64":"7+QjM7Brn/o8JvuxTV3lNabz8UUuDy803JsSk+u+vZy2iD/zL0ADP0vjOx424zor+p2RUQuu3OUUy9CyMxEcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a69d9bce2d91246fe4d4001a984902bb17627de31fe40dcfbdb60657a1f962d","last_reissued_at":"2026-07-05T09:56:58.221117Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:56:58.221117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A positivity preserving second-order scheme for multi-dimensional system of non-local conservation laws","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.AP"],"primary_cat":"math.NA","authors_text":"G. D. Veerappa Gowda, Nikhil Manoj, Sudarshan Kumar K","submitted_at":"2024-12-24T14:58:37Z","abstract_excerpt":"Non-local systems of conservation laws play a crucial role in modeling flow mechanisms across various scenarios. The well-posedness of such problems is typically established by demonstrating the convergence of robust first-order schemes. However, achieving more accurate solutions necessitates the development of higher-order schemes. In this article, we present a fully discrete, second-order scheme for a general class of non-local conservation law systems in multiple spatial dimensions. The method employs a MUSCL-type spatial reconstruction coupled with Runge-Kutta time integration. The propose"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18475","kind":"arxiv","version":2},"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/2412.18475/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":"2412.18475","created_at":"2026-07-05T09:56:58.221173+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.18475v2","created_at":"2026-07-05T09:56:58.221173+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18475","created_at":"2026-07-05T09:56:58.221173+00:00"},{"alias_kind":"pith_short_12","alias_value":"PJU5TPHC3EJE","created_at":"2026-07-05T09:56:58.221173+00:00"},{"alias_kind":"pith_short_16","alias_value":"PJU5TPHC3EJEN7SN","created_at":"2026-07-05T09:56:58.221173+00:00"},{"alias_kind":"pith_short_8","alias_value":"PJU5TPHC","created_at":"2026-07-05T09:56:58.221173+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.04176","citing_title":"A MUSCL-Hancock scheme for non-local conservation laws","ref_index":28,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO","json":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO.json","graph_json":"https://pith.science/api/pith-number/PJU5TPHC3EJEN7SNIAA2TBEQFO/graph.json","events_json":"https://pith.science/api/pith-number/PJU5TPHC3EJEN7SNIAA2TBEQFO/events.json","paper":"https://pith.science/paper/PJU5TPHC"},"agent_actions":{"view_html":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO","download_json":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO.json","view_paper":"https://pith.science/paper/PJU5TPHC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.18475&json=true","fetch_graph":"https://pith.science/api/pith-number/PJU5TPHC3EJEN7SNIAA2TBEQFO/graph.json","fetch_events":"https://pith.science/api/pith-number/PJU5TPHC3EJEN7SNIAA2TBEQFO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO/action/storage_attestation","attest_author":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO/action/author_attestation","sign_citation":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO/action/citation_signature","submit_replication":"https://pith.science/pith/PJU5TPHC3EJEN7SNIAA2TBEQFO/action/replication_record"}},"created_at":"2026-07-05T09:56:58.221173+00:00","updated_at":"2026-07-05T09:56:58.221173+00:00"}