{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:V5W47IUDVBPMQZAXCBIBENBWIN","short_pith_number":"pith:V5W47IUD","schema_version":"1.0","canonical_sha256":"af6dcfa283a85ec864171050123436435f4a401185ce546ab2328262cd25a0c3","source":{"kind":"arxiv","id":"2308.02728","version":2},"attestation_state":"computed","paper":{"title":"Classification of unitary operators by local generatability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Adrian B. Culver, Fenner Harper, Rahul Roy, Xu Liu","submitted_at":"2023-08-04T22:16:33Z","abstract_excerpt":"Periodically driven (Floquet) systems can exhibit possibilities beyond what can be obtained in equilibrium. Both in Floquet systems and in the related problems of discrete-time quantum walks and quantum cellular automata, a basic distinction arises among unitary time evolution operators: while all physical operators are local, not all are locally generated (i.e., generated by some local Hamiltonian). In this paper, we define the notion of equivalence up to a locally generated unitary in all Altland-Zirnbauer symmetry classes. We then classify noninteracting unitaries in all dimensions on this "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2308.02728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2023-08-04T22:16:33Z","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","quant-ph"],"title_canon_sha256":"ab3337e77ab003eb0c43259e5002cb23a03b989e23bdce1df522de0ac401c1e6","abstract_canon_sha256":"e8a5de0490abef90026b0d9ff6d33fe57aab60eae2f720b3dd8e59469cceb5e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:31:39.592208Z","signature_b64":"PZWarmOkXFzeC0wcMDq0G/tQCOo+nx36WCR1lNa5QXOJDJnVR7asqKV1m4xxMGZyAyu7wIvF6lRg0EE7TRDzCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af6dcfa283a85ec864171050123436435f4a401185ce546ab2328262cd25a0c3","last_reissued_at":"2026-07-05T10:31:39.591660Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:31:39.591660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of unitary operators by local generatability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","quant-ph"],"primary_cat":"cond-mat.mes-hall","authors_text":"Adrian B. Culver, Fenner Harper, Rahul Roy, Xu Liu","submitted_at":"2023-08-04T22:16:33Z","abstract_excerpt":"Periodically driven (Floquet) systems can exhibit possibilities beyond what can be obtained in equilibrium. Both in Floquet systems and in the related problems of discrete-time quantum walks and quantum cellular automata, a basic distinction arises among unitary time evolution operators: while all physical operators are local, not all are locally generated (i.e., generated by some local Hamiltonian). In this paper, we define the notion of equivalence up to a locally generated unitary in all Altland-Zirnbauer symmetry classes. We then classify noninteracting unitaries in all dimensions on this "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.02728","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/2308.02728/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2308.02728","created_at":"2026-07-05T10:31:39.591721+00:00"},{"alias_kind":"arxiv_version","alias_value":"2308.02728v2","created_at":"2026-07-05T10:31:39.591721+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.02728","created_at":"2026-07-05T10:31:39.591721+00:00"},{"alias_kind":"pith_short_12","alias_value":"V5W47IUDVBPM","created_at":"2026-07-05T10:31:39.591721+00:00"},{"alias_kind":"pith_short_16","alias_value":"V5W47IUDVBPMQZAX","created_at":"2026-07-05T10:31:39.591721+00:00"},{"alias_kind":"pith_short_8","alias_value":"V5W47IUD","created_at":"2026-07-05T10:31:39.591721+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN","json":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN.json","graph_json":"https://pith.science/api/pith-number/V5W47IUDVBPMQZAXCBIBENBWIN/graph.json","events_json":"https://pith.science/api/pith-number/V5W47IUDVBPMQZAXCBIBENBWIN/events.json","paper":"https://pith.science/paper/V5W47IUD"},"agent_actions":{"view_html":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN","download_json":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN.json","view_paper":"https://pith.science/paper/V5W47IUD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2308.02728&json=true","fetch_graph":"https://pith.science/api/pith-number/V5W47IUDVBPMQZAXCBIBENBWIN/graph.json","fetch_events":"https://pith.science/api/pith-number/V5W47IUDVBPMQZAXCBIBENBWIN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN/action/storage_attestation","attest_author":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN/action/author_attestation","sign_citation":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN/action/citation_signature","submit_replication":"https://pith.science/pith/V5W47IUDVBPMQZAXCBIBENBWIN/action/replication_record"}},"created_at":"2026-07-05T10:31:39.591721+00:00","updated_at":"2026-07-05T10:31:39.591721+00:00"}