{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TNQPRQJQFGCUSERWKO5GJ5W2B2","short_pith_number":"pith:TNQPRQJQ","schema_version":"1.0","canonical_sha256":"9b60f8c130298549123653ba64f6da0e975796280541db5d782474a176106cc4","source":{"kind":"arxiv","id":"1611.08726","version":1},"attestation_state":"computed","paper":{"title":"Nonlocal conservation laws. I. A new class of monotonicity-preserving models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.AP","authors_text":"Philippe G. LeFloch, Qiang Du, Zhan Huang","submitted_at":"2016-11-26T17:59:04Z","abstract_excerpt":"We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow for nonlocal interactions over a finite horizon. The proposed model, which we refer to as the nonlocal pair interaction model, inherits at the continuum level the unwinding feature of finite difference schemes for local hyperbolic conservation laws, so that the maximum principle and certain monotonicity properties hold and, consequently, the entropy inequalities are naturally satisfied. We establish a global-in-time well-posedness theory for these models which covers a broad class of initial data"},"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":"1611.08726","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-26T17:59:04Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"0654ffde998bb2ad5e422c0260d3056af876e21e20a1fd6828bc7c762f932d10","abstract_canon_sha256":"f8be7b187e5d29274f884d75d0f5e00389c3b1a02da813e072d27a92d5879723"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:36.986987Z","signature_b64":"QvsHlOWUxRjRVZxKUnfsJSIrSN/lGnihrI8dP3Wmvo42rnmfXnkFDvtzLLewogSEqWSnHalgHAfMDYfYiMN1Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9b60f8c130298549123653ba64f6da0e975796280541db5d782474a176106cc4","last_reissued_at":"2026-05-18T00:56:36.986336Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:36.986336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nonlocal conservation laws. I. A new class of monotonicity-preserving models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"math.AP","authors_text":"Philippe G. LeFloch, Qiang Du, Zhan Huang","submitted_at":"2016-11-26T17:59:04Z","abstract_excerpt":"We introduce a new class of nonlocal nonlinear conservation laws in one space dimension that allow for nonlocal interactions over a finite horizon. The proposed model, which we refer to as the nonlocal pair interaction model, inherits at the continuum level the unwinding feature of finite difference schemes for local hyperbolic conservation laws, so that the maximum principle and certain monotonicity properties hold and, consequently, the entropy inequalities are naturally satisfied. We establish a global-in-time well-posedness theory for these models which covers a broad class of initial data"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08726","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":""},"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":"1611.08726","created_at":"2026-05-18T00:56:36.986438+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.08726v1","created_at":"2026-05-18T00:56:36.986438+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08726","created_at":"2026-05-18T00:56:36.986438+00:00"},{"alias_kind":"pith_short_12","alias_value":"TNQPRQJQFGCU","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TNQPRQJQFGCUSERW","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TNQPRQJQ","created_at":"2026-05-18T12:30:44.179134+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/TNQPRQJQFGCUSERWKO5GJ5W2B2","json":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2.json","graph_json":"https://pith.science/api/pith-number/TNQPRQJQFGCUSERWKO5GJ5W2B2/graph.json","events_json":"https://pith.science/api/pith-number/TNQPRQJQFGCUSERWKO5GJ5W2B2/events.json","paper":"https://pith.science/paper/TNQPRQJQ"},"agent_actions":{"view_html":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2","download_json":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2.json","view_paper":"https://pith.science/paper/TNQPRQJQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.08726&json=true","fetch_graph":"https://pith.science/api/pith-number/TNQPRQJQFGCUSERWKO5GJ5W2B2/graph.json","fetch_events":"https://pith.science/api/pith-number/TNQPRQJQFGCUSERWKO5GJ5W2B2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2/action/storage_attestation","attest_author":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2/action/author_attestation","sign_citation":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2/action/citation_signature","submit_replication":"https://pith.science/pith/TNQPRQJQFGCUSERWKO5GJ5W2B2/action/replication_record"}},"created_at":"2026-05-18T00:56:36.986438+00:00","updated_at":"2026-05-18T00:56:36.986438+00:00"}