{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:K7ALZ6OVOO3RRVNXQSN6IA677Z","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":"f804479b42f5815a98e601923b4e97687c93b7de6aa32e612d0c2d2e36b530d0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-01T00:31:31Z","title_canon_sha256":"fb1f1c55428fd6772ce22ca0c093f9f07a89cfd0f3a0f87d5526a3be7b17e5e5"},"schema_version":"1.0","source":{"id":"1704.00088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.00088","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1704.00088v1","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.00088","created_at":"2026-05-18T00:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"K7ALZ6OVOO3R","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"K7ALZ6OVOO3RRVNX","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"K7ALZ6OV","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:eaff677ebed31d53683dd068ba64bc634e2e135f36d79bec9b54022ff9200110","target":"graph","created_at":"2026-05-18T00:33:06Z","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 study, from an optimal control perspective, Noether currents for higher-order problems of Herglotz type with time delay. Main result provides new Noether currents for such generalized variational problems, which are particularly useful in the search of extremals. The proof is based on the idea of rewriting the higher-order delayed generalized variational problem as a first-order optimal control problem without time delays.","authors_text":"Delfim F. M. Torres, Natalia Martins, Simao P. S. Santos","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-01T00:31:31Z","title":"Noether currents for higher-order variational problems of Herglotz type with time delay"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.00088","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":"sha256:24cb880f831f4fcd30ff3f34e14b8eb0dbce93b7b85a4d314ce938ec423cd6aa","target":"record","created_at":"2026-05-18T00:33:06Z","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":"f804479b42f5815a98e601923b4e97687c93b7de6aa32e612d0c2d2e36b530d0","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2017-04-01T00:31:31Z","title_canon_sha256":"fb1f1c55428fd6772ce22ca0c093f9f07a89cfd0f3a0f87d5526a3be7b17e5e5"},"schema_version":"1.0","source":{"id":"1704.00088","kind":"arxiv","version":1}},"canonical_sha256":"57c0bcf9d573b718d5b7849be403dffe6d72cb615607e7fcc6a032326e7c8ffd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57c0bcf9d573b718d5b7849be403dffe6d72cb615607e7fcc6a032326e7c8ffd","first_computed_at":"2026-05-18T00:33:06.689635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:06.689635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vtUvwu26aIiQzlAxJaJ3IA5XXNvLA+KqmQWoifPuhtyYxjTZGTnV2dsLSQ/QUGYA5ocVyrPQe7ggwSHarLxcCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:06.690309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.00088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24cb880f831f4fcd30ff3f34e14b8eb0dbce93b7b85a4d314ce938ec423cd6aa","sha256:eaff677ebed31d53683dd068ba64bc634e2e135f36d79bec9b54022ff9200110"],"state_sha256":"9d76fc84b04f3a94cea9a279525cf52fd5f6c1d209ae5f357246908f83069789"}