{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:VXWOLZLX3RWUDXIWSSD3RY2BOZ","short_pith_number":"pith:VXWOLZLX","schema_version":"1.0","canonical_sha256":"adece5e577dc6d41dd169487b8e3417669c6fa4bc6e7451f20f31c3d972f2be0","source":{"kind":"arxiv","id":"1808.09294","version":1},"attestation_state":"computed","paper":{"title":"A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Exequiel Mallea-Zepeda, Francisco Guill\\'en-Gonz\\'alez, Mar\\'ia \\'Angeles Rodr\\'iguez-Bellido","submitted_at":"2018-08-26T16:52:38Z","abstract_excerpt":"In this paper we study a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production. We prove the existence of weak solutions and we establish a regularity criterion to get global in time strong solutions. As a consequence, we deduce the existence of a global optimal solution with bilinear control and, using a Lagrange multipliers theorem, we derive first-order optimality conditions for local optimal solutions."},"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":"1808.09294","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-08-26T16:52:38Z","cross_cats_sorted":[],"title_canon_sha256":"36ac92247611bc98bc47039cc2c394d50925093b0339e09d95522e6a3eaca72c","abstract_canon_sha256":"2e282b0b1cc608082bef9fb8d111e1b9e273cff739345741b43c4c8b89f470e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:01.792255Z","signature_b64":"UpVWm3EYU6l9j645Di2zoINbOrw7t2NNBy3GxF0noszGt4P/sO78nRdxvwhhVSlhpfRnSI2TAIqlx2ApCBAkAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adece5e577dc6d41dd169487b8e3417669c6fa4bc6e7451f20f31c3d972f2be0","last_reissued_at":"2026-05-18T00:07:01.791627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:01.791627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A regularity criterion for a 3D chemo-repulsion system and its application to a bilinear optimal control problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Exequiel Mallea-Zepeda, Francisco Guill\\'en-Gonz\\'alez, Mar\\'ia \\'Angeles Rodr\\'iguez-Bellido","submitted_at":"2018-08-26T16:52:38Z","abstract_excerpt":"In this paper we study a bilinear optimal control problem associated to a 3D chemo-repulsion model with linear production. We prove the existence of weak solutions and we establish a regularity criterion to get global in time strong solutions. As a consequence, we deduce the existence of a global optimal solution with bilinear control and, using a Lagrange multipliers theorem, we derive first-order optimality conditions for local optimal solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09294","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":"1808.09294","created_at":"2026-05-18T00:07:01.791724+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.09294v1","created_at":"2026-05-18T00:07:01.791724+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09294","created_at":"2026-05-18T00:07:01.791724+00:00"},{"alias_kind":"pith_short_12","alias_value":"VXWOLZLX3RWU","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_16","alias_value":"VXWOLZLX3RWUDXIW","created_at":"2026-05-18T12:32:59.047623+00:00"},{"alias_kind":"pith_short_8","alias_value":"VXWOLZLX","created_at":"2026-05-18T12:32:59.047623+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/VXWOLZLX3RWUDXIWSSD3RY2BOZ","json":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ.json","graph_json":"https://pith.science/api/pith-number/VXWOLZLX3RWUDXIWSSD3RY2BOZ/graph.json","events_json":"https://pith.science/api/pith-number/VXWOLZLX3RWUDXIWSSD3RY2BOZ/events.json","paper":"https://pith.science/paper/VXWOLZLX"},"agent_actions":{"view_html":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ","download_json":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ.json","view_paper":"https://pith.science/paper/VXWOLZLX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.09294&json=true","fetch_graph":"https://pith.science/api/pith-number/VXWOLZLX3RWUDXIWSSD3RY2BOZ/graph.json","fetch_events":"https://pith.science/api/pith-number/VXWOLZLX3RWUDXIWSSD3RY2BOZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ/action/storage_attestation","attest_author":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ/action/author_attestation","sign_citation":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ/action/citation_signature","submit_replication":"https://pith.science/pith/VXWOLZLX3RWUDXIWSSD3RY2BOZ/action/replication_record"}},"created_at":"2026-05-18T00:07:01.791724+00:00","updated_at":"2026-05-18T00:07:01.791724+00:00"}