{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SJ523XL54WTCMEIBR5HQHX3QXU","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":"411e46d36d2f01c9f5a287e862f7269aed22a255812d40985150c02f8f36af33","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-06T15:28:39Z","title_canon_sha256":"0badfb8a6456da6d67616408f07703ce4ae3cc998ca8578320e769addbf85757"},"schema_version":"1.0","source":{"id":"1103.1130","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.1130","created_at":"2026-05-18T03:49:01Z"},{"alias_kind":"arxiv_version","alias_value":"1103.1130v5","created_at":"2026-05-18T03:49:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.1130","created_at":"2026-05-18T03:49:01Z"},{"alias_kind":"pith_short_12","alias_value":"SJ523XL54WTC","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SJ523XL54WTCMEIB","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SJ523XL5","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:3295ac2a5c890037e234c697b4a4fe04c3d3bf23dd1b6586faac7bff7f878574","target":"graph","created_at":"2026-05-18T03:49:01Z","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":"A well-known method of transferring the population of a quantum system from an eigenspace of the free Hamiltonian to another is to use a periodic control law with an angular frequency equal to the difference of the eigenvalues. For finite dimensional quantum systems, the classical theory of averaging provides a rigorous explanation of this experimentally validated result. This paper extends this finite dimensional result, known as the Rotating Wave Approximation, to infinite dimensional systems and provides explicit convergence estimates.","authors_text":"Iecn), Thomas Chambrion (INRIA Lorraine / IECN / MMAS","cross_cats":["cs.SY","math-ph","math.AP","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-06T15:28:39Z","title":"Periodic excitations of bilinear quantum systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1130","kind":"arxiv","version":5},"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":"sha256:0db98251bbb5a50f1644ef84ff59f3ba0e880466c9a9fb94d274f3ffc8fb46a2","target":"record","created_at":"2026-05-18T03:49:01Z","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":"411e46d36d2f01c9f5a287e862f7269aed22a255812d40985150c02f8f36af33","cross_cats_sorted":["cs.SY","math-ph","math.AP","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2011-03-06T15:28:39Z","title_canon_sha256":"0badfb8a6456da6d67616408f07703ce4ae3cc998ca8578320e769addbf85757"},"schema_version":"1.0","source":{"id":"1103.1130","kind":"arxiv","version":5}},"canonical_sha256":"927baddd7de5a62611018f4f03df70bd06e9db089f1963fa0575875937a4f21d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"927baddd7de5a62611018f4f03df70bd06e9db089f1963fa0575875937a4f21d","first_computed_at":"2026-05-18T03:49:01.212619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:01.212619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7o3ckJrrKgzDaN5plAVgfkLebs4LXt5vQga9UcvpX2ceZ5RyRSsS006vcoG2CNELvsaWmZP3iyFGxXwKsK+TBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:01.213348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.1130","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0db98251bbb5a50f1644ef84ff59f3ba0e880466c9a9fb94d274f3ffc8fb46a2","sha256:3295ac2a5c890037e234c697b4a4fe04c3d3bf23dd1b6586faac7bff7f878574"],"state_sha256":"32772f2915052ef09c0d6824fd325467af7158c8904502a84f0db5dada8db104"}