{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:CMIVYTV5KJ5XB7AKA46O6ZYIVB","short_pith_number":"pith:CMIVYTV5","schema_version":"1.0","canonical_sha256":"13115c4ebd527b70fc0a073cef6708a86dc01af76b4b01dee24f52f9b8b079a6","source":{"kind":"arxiv","id":"1907.11591","version":1},"attestation_state":"computed","paper":{"title":"Blow-up prevention by sublinear production in a n-dimensional attraction-repulsion chemotaxis system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giuseppe Viglialoro, Nicola Pintus","submitted_at":"2019-07-26T14:21:28Z","abstract_excerpt":"In this paper we study a zero-flux attraction-repulsion che\\-mo\\-taxis-system. We show that despite any mutual interplay between the repulsive and attractive coefficients from the corresponding chemo-sensitivities, even less any restriction on their own sizes, if the production rate of that chemical signal responsible of the cellular coalescence is sublinear, then any initial data emanate a unique global classical solution, which is as well bounded. Further, in a remark of the manuscript, we also address an open question given in \\cite{Viglialoro2019RepulsionAttraction}."},"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":"1907.11591","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-07-26T14:21:28Z","cross_cats_sorted":[],"title_canon_sha256":"092ac69361cd2134d84e83c6cb7dfc3fc3044c1c711116c3b756036050e4a815","abstract_canon_sha256":"45c2a59a04404d03c4541d74eaf9f31c272688bf8b738ee897335f730902d6be"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:39:28.591616Z","signature_b64":"Kp+pjjMk0CRcV8Ao/WapPScYKc7cf4WUlK3v+qgd9uxO1PRarmrxzrTO0vQpYNLzqcwz3qE8f+xG/yFQ4SlhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13115c4ebd527b70fc0a073cef6708a86dc01af76b4b01dee24f52f9b8b079a6","last_reissued_at":"2026-05-17T23:39:28.590904Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:39:28.590904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Blow-up prevention by sublinear production in a n-dimensional attraction-repulsion chemotaxis system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giuseppe Viglialoro, Nicola Pintus","submitted_at":"2019-07-26T14:21:28Z","abstract_excerpt":"In this paper we study a zero-flux attraction-repulsion che\\-mo\\-taxis-system. We show that despite any mutual interplay between the repulsive and attractive coefficients from the corresponding chemo-sensitivities, even less any restriction on their own sizes, if the production rate of that chemical signal responsible of the cellular coalescence is sublinear, then any initial data emanate a unique global classical solution, which is as well bounded. Further, in a remark of the manuscript, we also address an open question given in \\cite{Viglialoro2019RepulsionAttraction}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.11591","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":"1907.11591","created_at":"2026-05-17T23:39:28.591014+00:00"},{"alias_kind":"arxiv_version","alias_value":"1907.11591v1","created_at":"2026-05-17T23:39:28.591014+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.11591","created_at":"2026-05-17T23:39:28.591014+00:00"},{"alias_kind":"pith_short_12","alias_value":"CMIVYTV5KJ5X","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"CMIVYTV5KJ5XB7AK","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"CMIVYTV5","created_at":"2026-05-18T12:33:15.570797+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/CMIVYTV5KJ5XB7AKA46O6ZYIVB","json":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB.json","graph_json":"https://pith.science/api/pith-number/CMIVYTV5KJ5XB7AKA46O6ZYIVB/graph.json","events_json":"https://pith.science/api/pith-number/CMIVYTV5KJ5XB7AKA46O6ZYIVB/events.json","paper":"https://pith.science/paper/CMIVYTV5"},"agent_actions":{"view_html":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB","download_json":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB.json","view_paper":"https://pith.science/paper/CMIVYTV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1907.11591&json=true","fetch_graph":"https://pith.science/api/pith-number/CMIVYTV5KJ5XB7AKA46O6ZYIVB/graph.json","fetch_events":"https://pith.science/api/pith-number/CMIVYTV5KJ5XB7AKA46O6ZYIVB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB/action/storage_attestation","attest_author":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB/action/author_attestation","sign_citation":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB/action/citation_signature","submit_replication":"https://pith.science/pith/CMIVYTV5KJ5XB7AKA46O6ZYIVB/action/replication_record"}},"created_at":"2026-05-17T23:39:28.591014+00:00","updated_at":"2026-05-17T23:39:28.591014+00:00"}