{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JRWLSQH4FRD2LEZQRJOHLXPM3K","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"7123b7f2a2eec7d53b1006df66ac6586a4d9b729d59c6d495c898aa89164e8cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T12:08:48Z","title_canon_sha256":"f7408feff821f98676ed2172ecefa6a682d961b97d509e46d7e941e35b531ae4"},"schema_version":"1.0","source":{"id":"1609.05015","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05015","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05015v3","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05015","created_at":"2026-05-18T00:12:11Z"},{"alias_kind":"pith_short_12","alias_value":"JRWLSQH4FRD2","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JRWLSQH4FRD2LEZQ","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JRWLSQH4","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:2e31f158038f4c698966584a0688093d446fcdee7a4a75d4a438c1dd1d4574a6","target":"graph","created_at":"2026-05-18T00:12:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this paper we prove that the full Keller-Segel system, a quasilinear strongly coupled reaction-crossdiffusion system of four parabolic equations, is well-posed in space dimensions 2 and 3 in the sense that it always admits an unique local-in-time solution in an adequate function space, provided that the initial values are suitably regular. The proof is done via an abstract solution theorem for nonlocal quasilinear equations by Amann and is carried out for general source terms. It is fundamentally based on recent nontrivial elliptic and parabolic regularity results which hold true even on ra","authors_text":"Dirk Horstmann, Hannes Meinlschmidt, Joachim Rehberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T12:08:48Z","title":"The full Keller-Segel model is well-posed on nonsmooth domains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05015","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:00485736b22b9c3eab8b501b0265bc20577da6f4f111aeb90584e338816ee9da","target":"record","created_at":"2026-05-18T00:12:11Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"7123b7f2a2eec7d53b1006df66ac6586a4d9b729d59c6d495c898aa89164e8cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T12:08:48Z","title_canon_sha256":"f7408feff821f98676ed2172ecefa6a682d961b97d509e46d7e941e35b531ae4"},"schema_version":"1.0","source":{"id":"1609.05015","kind":"arxiv","version":3}},"canonical_sha256":"4c6cb940fc2c47a593308a5c75ddecdaa27646f1661dc0e2e0b4ea4a1f03fa7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c6cb940fc2c47a593308a5c75ddecdaa27646f1661dc0e2e0b4ea4a1f03fa7a","first_computed_at":"2026-05-18T00:12:11.546198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:11.546198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QnCA1MqC1vrInNh+bLDZhQO2s9L+FX+hm1ByFC0BBvcRcOS3Qktv2911n1O+lSQVa8pCRbHAFm6TUxgjKrCICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:11.546808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05015","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:00485736b22b9c3eab8b501b0265bc20577da6f4f111aeb90584e338816ee9da","sha256:2e31f158038f4c698966584a0688093d446fcdee7a4a75d4a438c1dd1d4574a6"],"state_sha256":"772deadf19509d51e84f9f0313b83ba1e60f20415d804f68da628e575fab4ef4"}