{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:YS5KRNJ47TQCXU3467OLJ35W73","short_pith_number":"pith:YS5KRNJ4","schema_version":"1.0","canonical_sha256":"c4baa8b53cfce02bd37cf7dcb4efb6fed6ceea23b0fe6437dd852368d4f58862","source":{"kind":"arxiv","id":"1512.02843","version":1},"attestation_state":"computed","paper":{"title":"Approximated Analytical Solution to an Ebola Optimal Control Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.OC","authors_text":"Delfim F. M. Torres, Doracelly Hincapie-Palacio, Juan Ospina","submitted_at":"2015-12-09T13:01:37Z","abstract_excerpt":"An analytical expression for the optimal control of an Ebola problem is obtained. The analytical solution is found as a first-order approximation to the Pontryagin Maximum Principle via the Euler-Lagrange equation. An implementation of the method is given using the computer algebra system Maple. Our analytical solutions confirm the results recently reported in the literature using numerical methods."},"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":"1512.02843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-09T13:01:37Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"bf608d1a0efb1afb594e1ce5e17232ca08b3a5f233c04931946fcf3a6ce51b13","abstract_canon_sha256":"98b9f11f777a3de9bbf1286cec2f4bae0b5d888e4b834e415f50ae7c139494ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:58.392847Z","signature_b64":"by18324omU1XwiUCp09x6RGmqTDUFa7aFVrbkYcnTVkt7NG7eLiM9G6HGBNYz7I+qKIP5fbrmSVckIAE21JPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4baa8b53cfce02bd37cf7dcb4efb6fed6ceea23b0fe6437dd852368d4f58862","last_reissued_at":"2026-05-18T00:55:58.392478Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:58.392478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Approximated Analytical Solution to an Ebola Optimal Control Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.OC","authors_text":"Delfim F. M. Torres, Doracelly Hincapie-Palacio, Juan Ospina","submitted_at":"2015-12-09T13:01:37Z","abstract_excerpt":"An analytical expression for the optimal control of an Ebola problem is obtained. The analytical solution is found as a first-order approximation to the Pontryagin Maximum Principle via the Euler-Lagrange equation. An implementation of the method is given using the computer algebra system Maple. Our analytical solutions confirm the results recently reported in the literature using numerical methods."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.02843","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":"1512.02843","created_at":"2026-05-18T00:55:58.392534+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.02843v1","created_at":"2026-05-18T00:55:58.392534+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.02843","created_at":"2026-05-18T00:55:58.392534+00:00"},{"alias_kind":"pith_short_12","alias_value":"YS5KRNJ47TQC","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"YS5KRNJ47TQCXU34","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"YS5KRNJ4","created_at":"2026-05-18T12:29:52.810259+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/YS5KRNJ47TQCXU3467OLJ35W73","json":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73.json","graph_json":"https://pith.science/api/pith-number/YS5KRNJ47TQCXU3467OLJ35W73/graph.json","events_json":"https://pith.science/api/pith-number/YS5KRNJ47TQCXU3467OLJ35W73/events.json","paper":"https://pith.science/paper/YS5KRNJ4"},"agent_actions":{"view_html":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73","download_json":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73.json","view_paper":"https://pith.science/paper/YS5KRNJ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.02843&json=true","fetch_graph":"https://pith.science/api/pith-number/YS5KRNJ47TQCXU3467OLJ35W73/graph.json","fetch_events":"https://pith.science/api/pith-number/YS5KRNJ47TQCXU3467OLJ35W73/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73/action/storage_attestation","attest_author":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73/action/author_attestation","sign_citation":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73/action/citation_signature","submit_replication":"https://pith.science/pith/YS5KRNJ47TQCXU3467OLJ35W73/action/replication_record"}},"created_at":"2026-05-18T00:55:58.392534+00:00","updated_at":"2026-05-18T00:55:58.392534+00:00"}