{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:KIKARV7E4MQV56QXTSSEYULHMF","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":"0575c671733143f3f643e09b1528a6855ed1ed220b9e7b81b483e3293254c18f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-01T02:01:29Z","title_canon_sha256":"1dcd8def4a9ebc33400071ce6c9b0c36d3c01cee4c0c0cde1d01b612cdbd9995"},"schema_version":"1.0","source":{"id":"1903.00125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.00125","created_at":"2026-05-17T23:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"1903.00125v1","created_at":"2026-05-17T23:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.00125","created_at":"2026-05-17T23:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"KIKARV7E4MQV","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"KIKARV7E4MQV56QX","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"KIKARV7E","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:9cf2e630a03a80bc558a15f98c107557db144c3947a81d5470e4001eac17c88c","target":"graph","created_at":"2026-05-17T23:51:38Z","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":"This paper deals with the quasilinear degenerate chemotaxis system with flux limitation \\begin{align*} \\begin{cases} u_t = \\nabla\\cdot\\left(\\dfrac{u^p \\nabla u}{\\sqrt{u^2 + |\\nabla u|^2}} \\right) -\\chi \\nabla\\cdot\\left( \\dfrac{u^q\\nabla v}{\\sqrt{1 + |\\nabla v|^2}}\\right), &x\\in \\Omega,\\ t>0, \\\\[1mm] 0 = \\Delta v - \\mu + u, &x\\in \\Omega,\\ t>0, \\end{cases} \\end{align*} where $\\Omega := B_R(0) \\subset \\mathbb{R}^n$ ($n \\in \\mathbb{N}$) is a ball with some $R>0$, and $\\chi >0$, $p,q\\geq1$, $\\mu := \\frac 1{|\\Omega|} \\int_\\Omega u_0$ and $u_0$ is an initial data of an unknown function $u$. Bellomo--","authors_text":"Masaaki Mizukami, Tomomi Yokota, Yuka Chiyoda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-01T02:01:29Z","title":"Finite-time blow-up in a quasilinear degenerate chemotaxis system with flux limitation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.00125","kind":"arxiv","version":1},"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:ebeeffab78cfedb1b9f73439257f2d1f77fc35a7db006feb20a5abed33ca3a40","target":"record","created_at":"2026-05-17T23:51:38Z","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":"0575c671733143f3f643e09b1528a6855ed1ed220b9e7b81b483e3293254c18f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-03-01T02:01:29Z","title_canon_sha256":"1dcd8def4a9ebc33400071ce6c9b0c36d3c01cee4c0c0cde1d01b612cdbd9995"},"schema_version":"1.0","source":{"id":"1903.00125","kind":"arxiv","version":1}},"canonical_sha256":"521408d7e4e3215efa179ca44c516761517b87f81f985656e7a516c348d6fe71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"521408d7e4e3215efa179ca44c516761517b87f81f985656e7a516c348d6fe71","first_computed_at":"2026-05-17T23:51:38.931593Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:38.931593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l69VZkUpwEDsy9oWHOb/YXYLja7z5xPb5uT1h2A524TeqcQHu7C0PKWJE0n41EPEtPjyrvLDS1DjSZk/ihFiCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:38.932192Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.00125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebeeffab78cfedb1b9f73439257f2d1f77fc35a7db006feb20a5abed33ca3a40","sha256:9cf2e630a03a80bc558a15f98c107557db144c3947a81d5470e4001eac17c88c"],"state_sha256":"026d3e22f7cb3f0c98bd05432749a47d59a893648433cf487838361267e6f319"}