{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UIH2ATXMXD7AADIR4IQQZC63ZC","short_pith_number":"pith:UIH2ATXM","canonical_record":{"source":{"id":"2411.13155","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-20T09:45:09Z","cross_cats_sorted":[],"title_canon_sha256":"c22f182a23920f04de78f112ee41fb89a8d44a1c3251648ef218d4fe775e631a","abstract_canon_sha256":"2c63708cde2bcdc929ef30d10875d08d82316afb8cd1615c6b78d79a6e5b9a0a"},"schema_version":"1.0"},"canonical_sha256":"a20fa04eecb8fe000d11e2210c8bdbc89942c1ee1cda3c3c7b5896bf838cdb7d","source":{"kind":"arxiv","id":"2411.13155","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13155","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13155v1","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13155","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"UIH2ATXMXD7A","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"pith_short_16","alias_value":"UIH2ATXMXD7AADIR","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"pith_short_8","alias_value":"UIH2ATXM","created_at":"2026-07-05T09:38:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UIH2ATXMXD7AADIR4IQQZC63ZC","target":"record","payload":{"canonical_record":{"source":{"id":"2411.13155","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-20T09:45:09Z","cross_cats_sorted":[],"title_canon_sha256":"c22f182a23920f04de78f112ee41fb89a8d44a1c3251648ef218d4fe775e631a","abstract_canon_sha256":"2c63708cde2bcdc929ef30d10875d08d82316afb8cd1615c6b78d79a6e5b9a0a"},"schema_version":"1.0"},"canonical_sha256":"a20fa04eecb8fe000d11e2210c8bdbc89942c1ee1cda3c3c7b5896bf838cdb7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:38:05.938109Z","signature_b64":"dr0Raz4nDWlDd8Oucg3oUnAk3QDicwYpBwLXbJsvSMmPGJJ5qoE/CeKuFOtBp9pqNooFgNsHwkptlmv1jCONCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a20fa04eecb8fe000d11e2210c8bdbc89942c1ee1cda3c3c7b5896bf838cdb7d","last_reissued_at":"2026-07-05T09:38:05.937702Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:38:05.937702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.13155","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:38:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ar4GmmCicyVHhye/OKKtZcLpKeOhvdpdPFnJOv5c3JktY4ufQ61gt4jzLgkb3yTMRQ5ODfARuUowHp4GSsYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:34:49.877965Z"},"content_sha256":"5d923616d6a520d4c4b0831c6779d4f6039ec823d186a8bdaa72cae52805efae","schema_version":"1.0","event_id":"sha256:5d923616d6a520d4c4b0831c6779d4f6039ec823d186a8bdaa72cae52805efae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UIH2ATXMXD7AADIR4IQQZC63ZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On algebraic analysis of Baker-Campbell-Hausdorff formula for Quantum Control and Quantum Speed Limit","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Go Kato, Koji Maruyama, Masaki Owari","submitted_at":"2024-11-20T09:45:09Z","abstract_excerpt":"The necessary time required to control a many-body quantum system is a critically important issue for the future development of quantum technologies. However, it is generally quite difficult to analyze directly, since the time evolution operator acting on a quantum system is in the form of time-ordered exponential. In this work, we examine the Baker-Campbell-Hausdorff (BCH) formula in detail and show that a distance between unitaries can be introduced, allowing us to obtain a lower bound on the control time. We find that, as far as we can compare, this lower bound on control time is tighter (b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13155","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.13155/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":"2026-07-05T09:38:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ha6SRJv3Zg1Hhg5du8pcwRhyRNgwxRrYf30vp3OYu+TAql4TfRfhi5+WIU3EdfzJNZ9F4kLPJCBGIChNwz0gBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T01:34:49.878360Z"},"content_sha256":"f5fc3a07fc6b77c257ead7ca6d19e5b28983c62bb10f781c8505e09abf3a3108","schema_version":"1.0","event_id":"sha256:f5fc3a07fc6b77c257ead7ca6d19e5b28983c62bb10f781c8505e09abf3a3108"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UIH2ATXMXD7AADIR4IQQZC63ZC/bundle.json","state_url":"https://pith.science/pith/UIH2ATXMXD7AADIR4IQQZC63ZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UIH2ATXMXD7AADIR4IQQZC63ZC/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":"2026-08-13T01:34:49Z","links":{"resolver":"https://pith.science/pith/UIH2ATXMXD7AADIR4IQQZC63ZC","bundle":"https://pith.science/pith/UIH2ATXMXD7AADIR4IQQZC63ZC/bundle.json","state":"https://pith.science/pith/UIH2ATXMXD7AADIR4IQQZC63ZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UIH2ATXMXD7AADIR4IQQZC63ZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UIH2ATXMXD7AADIR4IQQZC63ZC","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":"2c63708cde2bcdc929ef30d10875d08d82316afb8cd1615c6b78d79a6e5b9a0a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-20T09:45:09Z","title_canon_sha256":"c22f182a23920f04de78f112ee41fb89a8d44a1c3251648ef218d4fe775e631a"},"schema_version":"1.0","source":{"id":"2411.13155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.13155","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"arxiv_version","alias_value":"2411.13155v1","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.13155","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"pith_short_12","alias_value":"UIH2ATXMXD7A","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"pith_short_16","alias_value":"UIH2ATXMXD7AADIR","created_at":"2026-07-05T09:38:05Z"},{"alias_kind":"pith_short_8","alias_value":"UIH2ATXM","created_at":"2026-07-05T09:38:05Z"}],"graph_snapshots":[{"event_id":"sha256:f5fc3a07fc6b77c257ead7ca6d19e5b28983c62bb10f781c8505e09abf3a3108","target":"graph","created_at":"2026-07-05T09:38:05Z","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/2411.13155/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The necessary time required to control a many-body quantum system is a critically important issue for the future development of quantum technologies. However, it is generally quite difficult to analyze directly, since the time evolution operator acting on a quantum system is in the form of time-ordered exponential. In this work, we examine the Baker-Campbell-Hausdorff (BCH) formula in detail and show that a distance between unitaries can be introduced, allowing us to obtain a lower bound on the control time. We find that, as far as we can compare, this lower bound on control time is tighter (b","authors_text":"Go Kato, Koji Maruyama, Masaki Owari","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-20T09:45:09Z","title":"On algebraic analysis of Baker-Campbell-Hausdorff formula for Quantum Control and Quantum Speed Limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.13155","kind":"arxiv","version":1},"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":"sha256:5d923616d6a520d4c4b0831c6779d4f6039ec823d186a8bdaa72cae52805efae","target":"record","created_at":"2026-07-05T09:38:05Z","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":"2c63708cde2bcdc929ef30d10875d08d82316afb8cd1615c6b78d79a6e5b9a0a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-11-20T09:45:09Z","title_canon_sha256":"c22f182a23920f04de78f112ee41fb89a8d44a1c3251648ef218d4fe775e631a"},"schema_version":"1.0","source":{"id":"2411.13155","kind":"arxiv","version":1}},"canonical_sha256":"a20fa04eecb8fe000d11e2210c8bdbc89942c1ee1cda3c3c7b5896bf838cdb7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a20fa04eecb8fe000d11e2210c8bdbc89942c1ee1cda3c3c7b5896bf838cdb7d","first_computed_at":"2026-07-05T09:38:05.937702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:38:05.937702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dr0Raz4nDWlDd8Oucg3oUnAk3QDicwYpBwLXbJsvSMmPGJJ5qoE/CeKuFOtBp9pqNooFgNsHwkptlmv1jCONCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:38:05.938109Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.13155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d923616d6a520d4c4b0831c6779d4f6039ec823d186a8bdaa72cae52805efae","sha256:f5fc3a07fc6b77c257ead7ca6d19e5b28983c62bb10f781c8505e09abf3a3108"],"state_sha256":"e697005a6ff548fe304d7c47694badf5f2a035b036fd7b532b32279f80722fff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7vrkVk1rJgsEk4pQyB2a9CdNLWpO04Fek35/uf4IHeIZRaJZ63/9vLyLObuxJfCndj8k1NXUpWTq1XH8wJoRCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T01:34:49.880802Z","bundle_sha256":"efda3ce824586a5c1dbf08a2153266d268321cf5439ab1ec4623b26946c5b4f8"}}