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The chemotactic sensitivity $\\chi$ is a general nonnegative function from $C^1((0,\\infty))$ whilst $g$, the production of the chemical signal $v$, belongs to $C^1([0,\\infty))$ and satisfies $\\lambda_1\\leq g(s)\\leq \\lambda_2(1+s)^\\beta$, for all $s\\geq 0$, $0\\leq\\beta\\leq \\fra"},"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":"1807.10005","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-26T08:18:50Z","cross_cats_sorted":[],"title_canon_sha256":"1e2a8df355a6809f7c9b80c75ae2ae89c7e71c9d2653b0c6aa17040ff8518605","abstract_canon_sha256":"375c82726d453398f86a412728b3079630ebdf3d90c27339c5b6d931e80c5d89"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:45.709526Z","signature_b64":"Lugplkm7mNEl1oFE3l0o6qa92V3WcuuAxpcPkcLLFWHQphRaXbdCR88TwbATQiHi9YNBOHmAhbGnSB60K4VTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac6e4bd93558dc0b314776da3ef8af96dedc22eb01a35a4c3107b6a6f79cb8bf","last_reissued_at":"2026-05-18T00:09:45.708943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:45.708943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solvability of a Keller-Segel system with signal-dependent sensitivity and essentially sublinear production","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giuseppe Viglialoro, Thomas E. 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