{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:YKGLRP476DOPWA53L3GR6ZBBAC","short_pith_number":"pith:YKGLRP47","schema_version":"1.0","canonical_sha256":"c28cb8bf9ff0dcfb03bb5ecd1f64210080523cc0955cf7e0289d6b3ff42fe6f1","source":{"kind":"arxiv","id":"1810.07134","version":1},"attestation_state":"computed","paper":{"title":"Time-optimal selective pulses of two uncoupled spin 1/2 particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Sugny, L. van Damme, Q. Ansel, S. J. Glaser","submitted_at":"2018-10-16T16:59:21Z","abstract_excerpt":"We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2 particles. Using the Pontryagin Maximum Principle, we derive the global time-optimal pulses for two spins with different offsets. We show that the Pontryagin Hamiltonian can be written as a one-dimensional effective Hamiltonian. The optimal fields can be expressed analytically in terms of elliptic integrals. The time-optimal control problem is solved for the selective inversion and excitation processes. A bifurcation in the structure of the control fields occurs for a specific offset threshold. In parti"},"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":"1810.07134","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-10-16T16:59:21Z","cross_cats_sorted":[],"title_canon_sha256":"3bc7be47a85fdd9bbf489658364db0f4ea8cfca8c25f1b2948335f899fa21576","abstract_canon_sha256":"6e89247507a2c3cc608ac900ea0e2c6f327e03f6691f9919b20697ad0beafb07"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:47.270292Z","signature_b64":"BRmAlpbEhu8hIgo0I1KV4UUQyXHj95WEBK1uX5Wp3DNnqCUpm+7IvA5wX/3xu01fULSDzJzJ8t+guKAuhoZWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c28cb8bf9ff0dcfb03bb5ecd1f64210080523cc0955cf7e0289d6b3ff42fe6f1","last_reissued_at":"2026-05-18T00:00:47.269678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:47.269678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time-optimal selective pulses of two uncoupled spin 1/2 particles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Sugny, L. van Damme, Q. Ansel, S. J. Glaser","submitted_at":"2018-10-16T16:59:21Z","abstract_excerpt":"We investigate the time-optimal solution of the selective control of two uncoupled spin 1/2 particles. Using the Pontryagin Maximum Principle, we derive the global time-optimal pulses for two spins with different offsets. We show that the Pontryagin Hamiltonian can be written as a one-dimensional effective Hamiltonian. The optimal fields can be expressed analytically in terms of elliptic integrals. The time-optimal control problem is solved for the selective inversion and excitation processes. A bifurcation in the structure of the control fields occurs for a specific offset threshold. In parti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07134","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":"1810.07134","created_at":"2026-05-18T00:00:47.269783+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.07134v1","created_at":"2026-05-18T00:00:47.269783+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07134","created_at":"2026-05-18T00:00:47.269783+00:00"},{"alias_kind":"pith_short_12","alias_value":"YKGLRP476DOP","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_16","alias_value":"YKGLRP476DOPWA53","created_at":"2026-05-18T12:33:04.347982+00:00"},{"alias_kind":"pith_short_8","alias_value":"YKGLRP47","created_at":"2026-05-18T12:33:04.347982+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/YKGLRP476DOPWA53L3GR6ZBBAC","json":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC.json","graph_json":"https://pith.science/api/pith-number/YKGLRP476DOPWA53L3GR6ZBBAC/graph.json","events_json":"https://pith.science/api/pith-number/YKGLRP476DOPWA53L3GR6ZBBAC/events.json","paper":"https://pith.science/paper/YKGLRP47"},"agent_actions":{"view_html":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC","download_json":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC.json","view_paper":"https://pith.science/paper/YKGLRP47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.07134&json=true","fetch_graph":"https://pith.science/api/pith-number/YKGLRP476DOPWA53L3GR6ZBBAC/graph.json","fetch_events":"https://pith.science/api/pith-number/YKGLRP476DOPWA53L3GR6ZBBAC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC/action/storage_attestation","attest_author":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC/action/author_attestation","sign_citation":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC/action/citation_signature","submit_replication":"https://pith.science/pith/YKGLRP476DOPWA53L3GR6ZBBAC/action/replication_record"}},"created_at":"2026-05-18T00:00:47.269783+00:00","updated_at":"2026-05-18T00:00:47.269783+00:00"}