{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:D2ROUUJQ6GVUTZUVW5HTEVHVZD","short_pith_number":"pith:D2ROUUJQ","canonical_record":{"source":{"id":"2603.04916","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-05T08:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"3196522703783955bb1d256d16d280c22046ce138aa55069665e11369612d396","abstract_canon_sha256":"70e25867349b991402d8585cafcb0fba2f7338950a7ce1fcf2d2fa3e36b40740"},"schema_version":"1.0"},"canonical_sha256":"1ea2ea5130f1ab49e695b74f3254f5c8f4704f381da2948997ff27d0a22b9064","source":{"kind":"arxiv","id":"2603.04916","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.04916","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"arxiv_version","alias_value":"2603.04916v2","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.04916","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"pith_short_12","alias_value":"D2ROUUJQ6GVU","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"pith_short_16","alias_value":"D2ROUUJQ6GVUTZUV","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"pith_short_8","alias_value":"D2ROUUJQ","created_at":"2026-07-21T01:20:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:D2ROUUJQ6GVUTZUVW5HTEVHVZD","target":"record","payload":{"canonical_record":{"source":{"id":"2603.04916","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-05T08:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"3196522703783955bb1d256d16d280c22046ce138aa55069665e11369612d396","abstract_canon_sha256":"70e25867349b991402d8585cafcb0fba2f7338950a7ce1fcf2d2fa3e36b40740"},"schema_version":"1.0"},"canonical_sha256":"1ea2ea5130f1ab49e695b74f3254f5c8f4704f381da2948997ff27d0a22b9064","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T01:20:44.847858Z","signature_b64":"gYINk/cwBXwMs1xi1N/FzBu1k8T625QrvfJkZqOl100Q7yERKcqb4G1ydiKs4OGQqIx1DF0NrwdnHTHSNJwXCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ea2ea5130f1ab49e695b74f3254f5c8f4704f381da2948997ff27d0a22b9064","last_reissued_at":"2026-07-21T01:20:44.846769Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T01:20:44.846769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2603.04916","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":"2026-07-21T01:20:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dy5Ta75pHTH2HIXyIXdvLOAunAHqbVTshZzkvWgS2en/o+LyVLrR2z9GOIxvchUFM+s4ofoKBz91wk1YajIJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:53:16.772857Z"},"content_sha256":"35a6ba324146e3355a211568379f9771c557c24a17564eb45ec443bfa61cf5fb","schema_version":"1.0","event_id":"sha256:35a6ba324146e3355a211568379f9771c557c24a17564eb45ec443bfa61cf5fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:D2ROUUJQ6GVUTZUVW5HTEVHVZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Dynamical Lie-Algebraic Framework for Hamiltonian Engineering and Quantum Control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Haozhen Situ, Mao-Sheng Li, Ruibin Xu, Yanying Liang, Zhu-Jun Zheng","submitted_at":"2026-03-05T08:00:01Z","abstract_excerpt":"Determining the unitary dynamics accessible from finite Hamiltonian resources is a central problem in Hamiltonian engineering and quantum control. Dynamical Lie algebras (DLAs) connect available control Hamiltonians with the reachable dynamics, but their use as a design tool for modifying Hamiltonian generator sets remains less developed. In this work, we develop a finite-dimensional DLA framework for three generator-set operations: composition, invariance, and reduction. For composition, we construct direct sums of component DLAs using spectral projectors on an auxiliary register. For invaria"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.04916","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/2603.04916/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":"2026-07-21T01:20:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GA4OGEYFM2gfuXzbQtQiNs4u6m711ZxNsNZcK7bApTsnqy4wfB/ikr+tfYaKBZh1euO96H2mvNxdf9j1o/tfDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:53:16.773381Z"},"content_sha256":"90dc13c802e7427fb910145e2d535c82dcef0fd731ca8fe56f65f3f42347fe99","schema_version":"1.0","event_id":"sha256:90dc13c802e7427fb910145e2d535c82dcef0fd731ca8fe56f65f3f42347fe99"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD/bundle.json","state_url":"https://pith.science/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD/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":"2026-08-05T12:53:16Z","links":{"resolver":"https://pith.science/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD","bundle":"https://pith.science/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD/bundle.json","state":"https://pith.science/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2ROUUJQ6GVUTZUVW5HTEVHVZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:D2ROUUJQ6GVUTZUVW5HTEVHVZD","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":"70e25867349b991402d8585cafcb0fba2f7338950a7ce1fcf2d2fa3e36b40740","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-05T08:00:01Z","title_canon_sha256":"3196522703783955bb1d256d16d280c22046ce138aa55069665e11369612d396"},"schema_version":"1.0","source":{"id":"2603.04916","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.04916","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"arxiv_version","alias_value":"2603.04916v2","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.04916","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"pith_short_12","alias_value":"D2ROUUJQ6GVU","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"pith_short_16","alias_value":"D2ROUUJQ6GVUTZUV","created_at":"2026-07-21T01:20:44Z"},{"alias_kind":"pith_short_8","alias_value":"D2ROUUJQ","created_at":"2026-07-21T01:20:44Z"}],"graph_snapshots":[{"event_id":"sha256:90dc13c802e7427fb910145e2d535c82dcef0fd731ca8fe56f65f3f42347fe99","target":"graph","created_at":"2026-07-21T01:20:44Z","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/2603.04916/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Determining the unitary dynamics accessible from finite Hamiltonian resources is a central problem in Hamiltonian engineering and quantum control. Dynamical Lie algebras (DLAs) connect available control Hamiltonians with the reachable dynamics, but their use as a design tool for modifying Hamiltonian generator sets remains less developed. In this work, we develop a finite-dimensional DLA framework for three generator-set operations: composition, invariance, and reduction. For composition, we construct direct sums of component DLAs using spectral projectors on an auxiliary register. For invaria","authors_text":"Haozhen Situ, Mao-Sheng Li, Ruibin Xu, Yanying Liang, Zhu-Jun Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-05T08:00:01Z","title":"A Dynamical Lie-Algebraic Framework for Hamiltonian Engineering and Quantum Control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.04916","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":"sha256:35a6ba324146e3355a211568379f9771c557c24a17564eb45ec443bfa61cf5fb","target":"record","created_at":"2026-07-21T01:20:44Z","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":"70e25867349b991402d8585cafcb0fba2f7338950a7ce1fcf2d2fa3e36b40740","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-05T08:00:01Z","title_canon_sha256":"3196522703783955bb1d256d16d280c22046ce138aa55069665e11369612d396"},"schema_version":"1.0","source":{"id":"2603.04916","kind":"arxiv","version":2}},"canonical_sha256":"1ea2ea5130f1ab49e695b74f3254f5c8f4704f381da2948997ff27d0a22b9064","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ea2ea5130f1ab49e695b74f3254f5c8f4704f381da2948997ff27d0a22b9064","first_computed_at":"2026-07-21T01:20:44.846769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:20:44.846769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gYINk/cwBXwMs1xi1N/FzBu1k8T625QrvfJkZqOl100Q7yERKcqb4G1ydiKs4OGQqIx1DF0NrwdnHTHSNJwXCQ==","signature_status":"signed_v1","signed_at":"2026-07-21T01:20:44.847858Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.04916","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35a6ba324146e3355a211568379f9771c557c24a17564eb45ec443bfa61cf5fb","sha256:90dc13c802e7427fb910145e2d535c82dcef0fd731ca8fe56f65f3f42347fe99"],"state_sha256":"2ff5b2cdb791b7bd652b3fd00fa6c59b6f74aaf13af7028e4e79c7b6adbafdf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iZ2ZLvdjZg1dWVKKdj+RGykiFx2vDu7GCcd1iaCEvW83cYcg5o8A6z/vcLOW1MvCtkUM5rvlWjj+2yjfNsGjAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T12:53:16.777276Z","bundle_sha256":"66711bafe2482bbf2703c41ca98fc1f11883c2f9616c84062a32da1247888a21"}}