{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:N4KIXCYYQUMXE6SDOSZT6CNPG2","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":"4628f586c301013b8a06e05463efa57d8ac54af425de073cdf6eb98c21a04efe","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-03-15T02:38:52Z","title_canon_sha256":"9d282cb2b83f5bd003129807bdbd76c5966c70ff61dc7a73695fe1587fd837d1"},"schema_version":"1.0","source":{"id":"1203.3255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3255","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3255v1","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3255","created_at":"2026-05-18T03:50:35Z"},{"alias_kind":"pith_short_12","alias_value":"N4KIXCYYQUMX","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"N4KIXCYYQUMXE6SD","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"N4KIXCYY","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:5bdd3f466a5f26c4f9ab2a3ecc906c7b522eebf6ff42417a6a4b622746c636f1","target":"graph","created_at":"2026-05-18T03:50:35Z","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":"We apply optimal control theory to a tuberculosis model given by a system of ordinary differential equations. Optimal control strategies are proposed to minimize the cost of interventions. Numerical simulations are given using data from Angola.","authors_text":"Cristiana J. Silva, Delfim F. M. Torres","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-03-15T02:38:52Z","title":"Optimal control strategies for tuberculosis treatment: a case study in Angola"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3255","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":"sha256:1859f652eae46fd0bc0774de1ddd9b7893d9c8b76e2cde12044435e4c301ae63","target":"record","created_at":"2026-05-18T03:50:35Z","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":"4628f586c301013b8a06e05463efa57d8ac54af425de073cdf6eb98c21a04efe","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-03-15T02:38:52Z","title_canon_sha256":"9d282cb2b83f5bd003129807bdbd76c5966c70ff61dc7a73695fe1587fd837d1"},"schema_version":"1.0","source":{"id":"1203.3255","kind":"arxiv","version":1}},"canonical_sha256":"6f148b8b188519727a4374b33f09af36a10dd0ec9bdd08561290795ae3848936","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f148b8b188519727a4374b33f09af36a10dd0ec9bdd08561290795ae3848936","first_computed_at":"2026-05-18T03:50:35.362901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:35.362901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OKdX28dLSEPeKttq/vb36x024GkF9WbpaW9eGkxYmhXixGMzK8kAwOpRJRL0fT2ZdY9xl5zz/Ucddj/fwjjuAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:35.363376Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1859f652eae46fd0bc0774de1ddd9b7893d9c8b76e2cde12044435e4c301ae63","sha256:5bdd3f466a5f26c4f9ab2a3ecc906c7b522eebf6ff42417a6a4b622746c636f1"],"state_sha256":"798af928caafc71db2dc7e8e88a1eb245536705cd58509d01a82a277be8641d3"}