{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:A5E6OA7UO6P2FPIYO5HMBLR4JC","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":"5a89aa06417f982dab2101e94055d587f5629677645e8ec753e1c446465100d3","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-06-29T18:52:52Z","title_canon_sha256":"2d2cba1ec5bc7ae1ed7950c836eac925495d84991adb92c42f8fcc2b7ae950d0"},"schema_version":"1.0","source":{"id":"1307.0141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.0141","created_at":"2026-05-18T02:38:29Z"},{"alias_kind":"arxiv_version","alias_value":"1307.0141v1","created_at":"2026-05-18T02:38:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0141","created_at":"2026-05-18T02:38:29Z"},{"alias_kind":"pith_short_12","alias_value":"A5E6OA7UO6P2","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"A5E6OA7UO6P2FPIY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"A5E6OA7U","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:45b3fe72bf8494a60e1b712b8ae252cdaa0c8eaee4de3aa224d21acc18853e02","target":"graph","created_at":"2026-05-18T02:38:29Z","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":"In this article we propose a shooting algorithm for optimal control problems governed by systems that are affine in one part of the control variable. Finitely many equality constraints on the initial and final state are considered. We recall a second order sufficient condition for weak optimality, and show that it guarantees the local quadratic convergence of the algorithm. We show an example and solve it numerically.","authors_text":"Maria Soledad Aronna","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-06-29T18:52:52Z","title":"Convergence of the shooting algorithm for singular optimal control problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0141","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:b967fbe9f610edf7aee01ab10d6ea79ca249b7538a87c41e491c238ba1821155","target":"record","created_at":"2026-05-18T02:38:29Z","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":"5a89aa06417f982dab2101e94055d587f5629677645e8ec753e1c446465100d3","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-06-29T18:52:52Z","title_canon_sha256":"2d2cba1ec5bc7ae1ed7950c836eac925495d84991adb92c42f8fcc2b7ae950d0"},"schema_version":"1.0","source":{"id":"1307.0141","kind":"arxiv","version":1}},"canonical_sha256":"0749e703f4779fa2bd18774ec0ae3c488aa379742dbaab3b75ab58ab99018dad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0749e703f4779fa2bd18774ec0ae3c488aa379742dbaab3b75ab58ab99018dad","first_computed_at":"2026-05-18T02:38:29.928540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:29.928540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GO2gxBRqrPEF/8QRZoENQFcQQecqwxhVB2yCLi2Ah8qPquuAgB7R5ieSv6TxRaGmWysq6hNuxhevOAp3ArPXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:29.929051Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.0141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b967fbe9f610edf7aee01ab10d6ea79ca249b7538a87c41e491c238ba1821155","sha256:45b3fe72bf8494a60e1b712b8ae252cdaa0c8eaee4de3aa224d21acc18853e02"],"state_sha256":"ab2561f682ee521439eaec4e42df849f73aaf4bff000c77ddd3bb16ed66ab3c7"}