{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:LK5VCIDBXXZ4IXUX4XHO6WQHZ3","short_pith_number":"pith:LK5VCIDB","schema_version":"1.0","canonical_sha256":"5abb512061bdf3c45e97e5ceef5a07ced19c162317578365d9ac13f32b99da8a","source":{"kind":"arxiv","id":"1711.08662","version":2},"attestation_state":"computed","paper":{"title":"From non-local to classical SKT systems: triangular case with bounded coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ayman Moussa","submitted_at":"2017-11-23T11:48:18Z","abstract_excerpt":"This paper solves partially a question suggested by Fontbona and M\\'el\\'eard in a paper published in 2015. The issue is to obtain rigorously cross-diffusion systems \\`a la Shigesada-Kawasaki-Teramoto as the limit of relaxed systems in which the cross-diffusion and reaction coefficients are non-local. We depart from the existence result established by Fontbona M\\'el\\'eard for a general class of non-local systems and study the corresponding asymptotic as the convolution kernels tend to Dirac masses, but only in the case of (strictly) triangular systems, with bounded coefficients. Our approach is"},"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":"1711.08662","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-11-23T11:48:18Z","cross_cats_sorted":[],"title_canon_sha256":"24bb4f08e3d6fbbebc343770013f1e050f1a55752b82199174141902796fd0d4","abstract_canon_sha256":"7cf326b9cf81d74763dd2d936f9ec297623c1abb36f4d3bbeb1cc305fbd86bb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:11.048078Z","signature_b64":"JUCmdm96eH8YfL39j5DRO2Rts63qJZIgqlzNj89V1HTeNYXT23D1udpqXqPP5zhlM/6DziYGtcMf3Xi2JP5XAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5abb512061bdf3c45e97e5ceef5a07ced19c162317578365d9ac13f32b99da8a","last_reissued_at":"2026-05-18T00:10:11.047421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:11.047421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From non-local to classical SKT systems: triangular case with bounded coefficients","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ayman Moussa","submitted_at":"2017-11-23T11:48:18Z","abstract_excerpt":"This paper solves partially a question suggested by Fontbona and M\\'el\\'eard in a paper published in 2015. The issue is to obtain rigorously cross-diffusion systems \\`a la Shigesada-Kawasaki-Teramoto as the limit of relaxed systems in which the cross-diffusion and reaction coefficients are non-local. We depart from the existence result established by Fontbona M\\'el\\'eard for a general class of non-local systems and study the corresponding asymptotic as the convolution kernels tend to Dirac masses, but only in the case of (strictly) triangular systems, with bounded coefficients. Our approach is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08662","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":""},"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":"1711.08662","created_at":"2026-05-18T00:10:11.047530+00:00"},{"alias_kind":"arxiv_version","alias_value":"1711.08662v2","created_at":"2026-05-18T00:10:11.047530+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08662","created_at":"2026-05-18T00:10:11.047530+00:00"},{"alias_kind":"pith_short_12","alias_value":"LK5VCIDBXXZ4","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"LK5VCIDBXXZ4IXUX","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"LK5VCIDB","created_at":"2026-05-18T12:31:28.150371+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/LK5VCIDBXXZ4IXUX4XHO6WQHZ3","json":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3.json","graph_json":"https://pith.science/api/pith-number/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/graph.json","events_json":"https://pith.science/api/pith-number/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/events.json","paper":"https://pith.science/paper/LK5VCIDB"},"agent_actions":{"view_html":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3","download_json":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3.json","view_paper":"https://pith.science/paper/LK5VCIDB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1711.08662&json=true","fetch_graph":"https://pith.science/api/pith-number/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/graph.json","fetch_events":"https://pith.science/api/pith-number/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/action/storage_attestation","attest_author":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/action/author_attestation","sign_citation":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/action/citation_signature","submit_replication":"https://pith.science/pith/LK5VCIDBXXZ4IXUX4XHO6WQHZ3/action/replication_record"}},"created_at":"2026-05-18T00:10:11.047530+00:00","updated_at":"2026-05-18T00:10:11.047530+00:00"}