{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4YZ25VJSAYUWRQIC4ODDUCFKBJ","short_pith_number":"pith:4YZ25VJS","schema_version":"1.0","canonical_sha256":"e633aed532062968c102e3863a08aa0a5381b397b27c68b986f88905c8bbd58a","source":{"kind":"arxiv","id":"1408.6801","version":2},"attestation_state":"computed","paper":{"title":"Optimal control theory with arbitrary superpositions of waveforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","quant-ph"],"primary_cat":"math.OC","authors_text":"Joachim Ankerhold, J\\\"urgen T. Stockburger, Rebecca Schmidt, Selina Meister","submitted_at":"2014-08-27T07:19:52Z","abstract_excerpt":"Standard optimal control methods perform optimization in the time domain. However, many experimental settings demand the expression of the control signal as a superposition of given waveforms, a case that cannot easily be accommodated using time-local constraints. Previous approaches [1,2] have circumvented this difficulty by performing optimization in a parameter space, using the chain rule to make a connection to the time domain. In this paper, we present an extension to Optimal Control Theory which allows gradient-based optimization for superpositions of arbitrary waveforms directly in a ti"},"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":"1408.6801","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-08-27T07:19:52Z","cross_cats_sorted":["cs.SY","quant-ph"],"title_canon_sha256":"2d557f35b019f6102a8935e1324bcca15cb335a9a61c74045c29fedf6ddab48a","abstract_canon_sha256":"1846b0e1689d01831043252c11de7fcef7ac0e02c9f4d0e435ac224fd951a4e3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:12.169189Z","signature_b64":"dQB30BynLX6aqKhHrxRb21kpj1TsZ6mDUDffx+UeyL1V3hqVJLpO4UpQ3tUMTJlqkAQArWcUkKTxXKfxLVpcDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e633aed532062968c102e3863a08aa0a5381b397b27c68b986f88905c8bbd58a","last_reissued_at":"2026-05-18T01:42:12.168475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:12.168475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal control theory with arbitrary superpositions of waveforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","quant-ph"],"primary_cat":"math.OC","authors_text":"Joachim Ankerhold, J\\\"urgen T. Stockburger, Rebecca Schmidt, Selina Meister","submitted_at":"2014-08-27T07:19:52Z","abstract_excerpt":"Standard optimal control methods perform optimization in the time domain. However, many experimental settings demand the expression of the control signal as a superposition of given waveforms, a case that cannot easily be accommodated using time-local constraints. Previous approaches [1,2] have circumvented this difficulty by performing optimization in a parameter space, using the chain rule to make a connection to the time domain. In this paper, we present an extension to Optimal Control Theory which allows gradient-based optimization for superpositions of arbitrary waveforms directly in a ti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6801","kind":"arxiv","version":2},"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":"1408.6801","created_at":"2026-05-18T01:42:12.168593+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.6801v2","created_at":"2026-05-18T01:42:12.168593+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6801","created_at":"2026-05-18T01:42:12.168593+00:00"},{"alias_kind":"pith_short_12","alias_value":"4YZ25VJSAYUW","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4YZ25VJSAYUWRQIC","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4YZ25VJS","created_at":"2026-05-18T12:28:14.216126+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/4YZ25VJSAYUWRQIC4ODDUCFKBJ","json":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ.json","graph_json":"https://pith.science/api/pith-number/4YZ25VJSAYUWRQIC4ODDUCFKBJ/graph.json","events_json":"https://pith.science/api/pith-number/4YZ25VJSAYUWRQIC4ODDUCFKBJ/events.json","paper":"https://pith.science/paper/4YZ25VJS"},"agent_actions":{"view_html":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ","download_json":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ.json","view_paper":"https://pith.science/paper/4YZ25VJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.6801&json=true","fetch_graph":"https://pith.science/api/pith-number/4YZ25VJSAYUWRQIC4ODDUCFKBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/4YZ25VJSAYUWRQIC4ODDUCFKBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ/action/storage_attestation","attest_author":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ/action/author_attestation","sign_citation":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ/action/citation_signature","submit_replication":"https://pith.science/pith/4YZ25VJSAYUWRQIC4ODDUCFKBJ/action/replication_record"}},"created_at":"2026-05-18T01:42:12.168593+00:00","updated_at":"2026-05-18T01:42:12.168593+00:00"}