{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2OATWTBNP7FQGJK3H5OSSQK4LU","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":"56d6ff5ac851cbfac43d44280355217ba64239039d5f9e9d4293dd2f4b8c223c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-08T20:13:56Z","title_canon_sha256":"a8e9a6e75e82f6b0889d1f801f82a9b0bfb12be833828bfce4a92e9b6002c953"},"schema_version":"1.0","source":{"id":"1002.1702","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.1702","created_at":"2026-05-18T04:31:13Z"},{"alias_kind":"arxiv_version","alias_value":"1002.1702v2","created_at":"2026-05-18T04:31:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.1702","created_at":"2026-05-18T04:31:13Z"},{"alias_kind":"pith_short_12","alias_value":"2OATWTBNP7FQ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2OATWTBNP7FQGJK3","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2OATWTBN","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:24ee26fd0b9c98537a3fab67d5a62e60e40bea72edf390b9db4ef0d718558736","target":"graph","created_at":"2026-05-18T04:31:13Z","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 (OCT) to the design of refocusing pulses suitable for the CPMG sequence that are robust over a wide range of B0 and B1 offsets. We also introduce a model, based on recent progress in the analysis of unitary dynamics in the field of quantum information processing (QIP), that describes the multiple refocusing dynamics of the CPMG sequence as a dephasing Pauli channel. This model provides a compact characterization of the consequences and severity of residual pulse errors. We illustrate the methods by considering a specific example of designing and analyzing broadb","authors_text":"David G. Cory, Martin D. Hurlimann, Troy W. Borneman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-08T20:13:56Z","title":"Application of Optimal Control to CPMG Refocusing Pulse Design"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.1702","kind":"arxiv","version":2},"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:c01b4bccc7ad608a4a980e4c2c168d63a65c84694b961919b7352e4277ffb22a","target":"record","created_at":"2026-05-18T04:31:13Z","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":"56d6ff5ac851cbfac43d44280355217ba64239039d5f9e9d4293dd2f4b8c223c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-02-08T20:13:56Z","title_canon_sha256":"a8e9a6e75e82f6b0889d1f801f82a9b0bfb12be833828bfce4a92e9b6002c953"},"schema_version":"1.0","source":{"id":"1002.1702","kind":"arxiv","version":2}},"canonical_sha256":"d3813b4c2d7fcb03255b3f5d29415c5d31e07e2768682cc0ff45a77f0412e6c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3813b4c2d7fcb03255b3f5d29415c5d31e07e2768682cc0ff45a77f0412e6c3","first_computed_at":"2026-05-18T04:31:13.141816Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:13.141816Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RzPBC27dq1XwHin/Y4ChzHXQTAOmc1ICrcxf5MtUfCDT3/5BK10AR4iVSpuqgVlAvY76SY2/SqozDwj0EORwDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:13.142415Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.1702","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c01b4bccc7ad608a4a980e4c2c168d63a65c84694b961919b7352e4277ffb22a","sha256:24ee26fd0b9c98537a3fab67d5a62e60e40bea72edf390b9db4ef0d718558736"],"state_sha256":"0b8c20fab80ae3e95f607d4362d5a62b38277e30783e32a51b1213f73e67f918"}