{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3QNXISCFIE5SRQULR5ZFSDKDGR","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":"2de3d12b960999d8c59771d4d643d58a31db7713c66f67afd398538f2aedede9","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-10-09T16:12:15Z","title_canon_sha256":"9581a65728e959c745629c6f0c939e6253123798a5a2621052005d1e5132d4e5"},"schema_version":"1.0","source":{"id":"2410.07029","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.07029","created_at":"2026-07-05T11:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.07029v4","created_at":"2026-07-05T11:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.07029","created_at":"2026-07-05T11:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"3QNXISCFIE5S","created_at":"2026-07-05T11:57:53Z"},{"alias_kind":"pith_short_16","alias_value":"3QNXISCFIE5SRQUL","created_at":"2026-07-05T11:57:53Z"},{"alias_kind":"pith_short_8","alias_value":"3QNXISCF","created_at":"2026-07-05T11:57:53Z"}],"graph_snapshots":[{"event_id":"sha256:f8c452e67ae31a8e6e3703e648c4bb23ccc7e6e01ac6da84631dbedd8f43a226","target":"graph","created_at":"2026-07-05T11:57:53Z","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/2410.07029/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive Floquet theory from quantum geometry. We identify quasienergy folding as a consequence of a broken gauge group of the adiabatic gauge potential $U(1){\\mapsto}\\mathbb{Z}$. Fixing instead the gauge freedom using the parallel-transport gauge uniquely decomposes Floquet dynamics into a purely geometric and a purely dynamical evolution. The dynamical average-energy operator provides an unambiguous sorting of the quasienergy spectrum, identifying a Floquet ground state and suggesting a way to define the filling of Floquet-Bloch bands. We exemplify the features of geometric Floquet theory u","authors_text":"Marin Bukov, Paul M. Schindler","cross_cats":["cond-mat.quant-gas"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-10-09T16:12:15Z","title":"Geometric Floquet theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.07029","kind":"arxiv","version":4},"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":"sha256:6cbcf6adebfc6da9a4b5c4f707ac205b2bb6c0741a1c7cf2b4d79996680f0fa9","target":"record","created_at":"2026-07-05T11:57:53Z","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":"2de3d12b960999d8c59771d4d643d58a31db7713c66f67afd398538f2aedede9","cross_cats_sorted":["cond-mat.quant-gas"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2024-10-09T16:12:15Z","title_canon_sha256":"9581a65728e959c745629c6f0c939e6253123798a5a2621052005d1e5132d4e5"},"schema_version":"1.0","source":{"id":"2410.07029","kind":"arxiv","version":4}},"canonical_sha256":"dc1b744845413b28c28b8f72590d43347d593085d6d6e9e04bdfc17293910c77","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc1b744845413b28c28b8f72590d43347d593085d6d6e9e04bdfc17293910c77","first_computed_at":"2026-07-05T11:57:53.374990Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:57:53.374990Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JmYTOx34bUiCGbd9uHALibT5simWiHjCFPigg0C/nk/kaNZEQOeO54ZsvLV9KWG3c6gAzQNWQokr0jW5Q7bmAA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:57:53.375521Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.07029","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cbcf6adebfc6da9a4b5c4f707ac205b2bb6c0741a1c7cf2b4d79996680f0fa9","sha256:f8c452e67ae31a8e6e3703e648c4bb23ccc7e6e01ac6da84631dbedd8f43a226"],"state_sha256":"dad4102c9a91ca5883fa29612499b4e5786fef7aece30b0fd4f33cb1e19b36ff"}