{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ZTVV2YQ6GVIYXIQLSJFKIJMF6P","short_pith_number":"pith:ZTVV2YQ6","canonical_record":{"source":{"id":"1904.02702","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-04T17:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"dc24c377065f646fd04e7192aa6429574acf6ce440701fd91445f959063b260a","abstract_canon_sha256":"21baf35b683fddf773ac88856f206a940dede65709f32e67354ae904479d5a93"},"schema_version":"1.0"},"canonical_sha256":"cceb5d621e35518ba20b924aa42585f3d641cae476493073f57edafbcc6e2216","source":{"kind":"arxiv","id":"1904.02702","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.02702","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"1904.02702v2","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02702","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZTVV2YQ6GVIY","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"pith_short_16","alias_value":"ZTVV2YQ6GVIYXIQL","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"pith_short_8","alias_value":"ZTVV2YQ6","created_at":"2026-07-05T01:34:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ZTVV2YQ6GVIYXIQLSJFKIJMF6P","target":"record","payload":{"canonical_record":{"source":{"id":"1904.02702","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-04T17:58:28Z","cross_cats_sorted":[],"title_canon_sha256":"dc24c377065f646fd04e7192aa6429574acf6ce440701fd91445f959063b260a","abstract_canon_sha256":"21baf35b683fddf773ac88856f206a940dede65709f32e67354ae904479d5a93"},"schema_version":"1.0"},"canonical_sha256":"cceb5d621e35518ba20b924aa42585f3d641cae476493073f57edafbcc6e2216","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:34:19.764478Z","signature_b64":"52D7K5BUL3suSgxL8N1Y/DVyWcLz+rf9o+i5rm3WqoZn/98vL8kkWCgUEbWLZ6WHC0tMHwKir9nyaK9EauoYCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cceb5d621e35518ba20b924aa42585f3d641cae476493073f57edafbcc6e2216","last_reissued_at":"2026-07-05T01:34:19.763967Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:34:19.763967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.02702","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O6Aw7eXR8iJC8ampaKBPkal+qyxPJdcfK0mYg2DqUVFDezbAE0AZNTjTSg3pnBFn6sxyORJbHyN+0RMNswLJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T23:58:55.852222Z"},"content_sha256":"8f17d6a604d090c652eed8792539ea4e0d8d7b0f3197462b505bdecb10ecef68","schema_version":"1.0","event_id":"sha256:8f17d6a604d090c652eed8792539ea4e0d8d7b0f3197462b505bdecb10ecef68"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ZTVV2YQ6GVIYXIQLSJFKIJMF6P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Engineering Effective Hamiltonians","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Daniel Puzzuoli, David G. Cory, Feihao Zhang, Holger Haas","submitted_at":"2019-04-04T17:58:28Z","abstract_excerpt":"In the field of quantum control, effective Hamiltonian engineering is a powerful tool that utilises perturbation theory to mitigate or enhance the effect that a variation in the Hamiltonian has on the evolution of the system. Here, we provide a general framework for computing arbitrary time-dependent perturbation theory terms, as well as their gradients with respect to control variations, enabling the use of gradient methods for optimizing these terms. In particular, we show that effective Hamiltonian engineering is an instance of a bilinear control problem - the same general problem class as "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02702","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1904.02702/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:34:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8+Ut7HcQ6omhXgAUlL1b/lqzyPKxbR5VOLwjOMDeasHz6MBH6zu/dDdIUFxtjSA2tfK/oRB7rrW6vVHEKtGVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T23:58:55.852553Z"},"content_sha256":"2c9fecb876064953dc32e1c01db7cdbe9322a24cbd3859ee486139bb6b948d26","schema_version":"1.0","event_id":"sha256:2c9fecb876064953dc32e1c01db7cdbe9322a24cbd3859ee486139bb6b948d26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P/bundle.json","state_url":"https://pith.science/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-19T23:58:55Z","links":{"resolver":"https://pith.science/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P","bundle":"https://pith.science/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P/bundle.json","state":"https://pith.science/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZTVV2YQ6GVIYXIQLSJFKIJMF6P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZTVV2YQ6GVIYXIQLSJFKIJMF6P","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":"21baf35b683fddf773ac88856f206a940dede65709f32e67354ae904479d5a93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-04T17:58:28Z","title_canon_sha256":"dc24c377065f646fd04e7192aa6429574acf6ce440701fd91445f959063b260a"},"schema_version":"1.0","source":{"id":"1904.02702","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.02702","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"arxiv_version","alias_value":"1904.02702v2","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.02702","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"pith_short_12","alias_value":"ZTVV2YQ6GVIY","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"pith_short_16","alias_value":"ZTVV2YQ6GVIYXIQL","created_at":"2026-07-05T01:34:19Z"},{"alias_kind":"pith_short_8","alias_value":"ZTVV2YQ6","created_at":"2026-07-05T01:34:19Z"}],"graph_snapshots":[{"event_id":"sha256:2c9fecb876064953dc32e1c01db7cdbe9322a24cbd3859ee486139bb6b948d26","target":"graph","created_at":"2026-07-05T01:34:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1904.02702/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the field of quantum control, effective Hamiltonian engineering is a powerful tool that utilises perturbation theory to mitigate or enhance the effect that a variation in the Hamiltonian has on the evolution of the system. Here, we provide a general framework for computing arbitrary time-dependent perturbation theory terms, as well as their gradients with respect to control variations, enabling the use of gradient methods for optimizing these terms. In particular, we show that effective Hamiltonian engineering is an instance of a bilinear control problem - the same general problem class as ","authors_text":"Daniel Puzzuoli, David G. Cory, Feihao Zhang, Holger Haas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-04T17:58:28Z","title":"Engineering Effective Hamiltonians"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.02702","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":"sha256:8f17d6a604d090c652eed8792539ea4e0d8d7b0f3197462b505bdecb10ecef68","target":"record","created_at":"2026-07-05T01:34:19Z","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":"21baf35b683fddf773ac88856f206a940dede65709f32e67354ae904479d5a93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-04-04T17:58:28Z","title_canon_sha256":"dc24c377065f646fd04e7192aa6429574acf6ce440701fd91445f959063b260a"},"schema_version":"1.0","source":{"id":"1904.02702","kind":"arxiv","version":2}},"canonical_sha256":"cceb5d621e35518ba20b924aa42585f3d641cae476493073f57edafbcc6e2216","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cceb5d621e35518ba20b924aa42585f3d641cae476493073f57edafbcc6e2216","first_computed_at":"2026-07-05T01:34:19.763967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:34:19.763967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"52D7K5BUL3suSgxL8N1Y/DVyWcLz+rf9o+i5rm3WqoZn/98vL8kkWCgUEbWLZ6WHC0tMHwKir9nyaK9EauoYCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:34:19.764478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.02702","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f17d6a604d090c652eed8792539ea4e0d8d7b0f3197462b505bdecb10ecef68","sha256:2c9fecb876064953dc32e1c01db7cdbe9322a24cbd3859ee486139bb6b948d26"],"state_sha256":"ec9ef7cd2a50b3100cf539484ddec914f5398c091088d04c3244bbb2fe639883"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ieitW6p4riKCHwWRs2dPjfMOS/IhzXafNJoM0JzMfqyU8SanNKPfHxVoQ5ZNxt6c+CvDKYYXgKKA/mJahn7YCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T23:58:55.855622Z","bundle_sha256":"08c870fcf4bf3f86bc332f733c472406346ca244b860f25f7015a33085f4a3ec"}}