{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:FPMLSZ7UXME4AZJEY6ACAXCURQ","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":"48dc0e7b864c8959f7737e86c437ed7957975ec55306e71d445d11f19e1a31c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-20T12:42:26Z","title_canon_sha256":"552a78436dc82a3bc7a75e47fef671ed66bb5e95588c12caec35b7be2b460131"},"schema_version":"1.0","source":{"id":"1501.04785","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.04785","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"arxiv_version","alias_value":"1501.04785v3","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04785","created_at":"2026-05-18T01:38:53Z"},{"alias_kind":"pith_short_12","alias_value":"FPMLSZ7UXME4","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"FPMLSZ7UXME4AZJE","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"FPMLSZ7U","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:f9ce627cc478bfd35d70b8578381d9852a90b6db981027b0c649044f8dd2f4d2","target":"graph","created_at":"2026-05-18T01:38:53Z","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"},"paper":{"abstract_excerpt":"Recently, the lattice shaking technique has been used to couple different Bloch bands resonantly. For the one-dimensional (1D) case, in which shaking is along only one direction, experimental observation of domain-wall formation has been explained by superfluid Ising transition. Inspired by these, we generalize to a 2D case in which shaking is along two orthogonal directions. Analogous to the 1D case, we find three different phases, the normal superfluid (NSF) phase, the $D_4$ symmetry-breaking superfluid ($D_4$SF) phase and the Mott insulator (MI) phase. Furthermore, we demonstrate that the i","authors_text":"Boyang Liu, Jiao Miao, Wei Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-20T12:42:26Z","title":"Quantum Phase Transition of Bosons in a Shaken Optical Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04785","kind":"arxiv","version":3},"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":"sha256:82abd60b45b953d0bb9efc13c903aa87923dc1c45e16bd2b7d25cd0da9aa4dbc","target":"record","created_at":"2026-05-18T01:38:53Z","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":"48dc0e7b864c8959f7737e86c437ed7957975ec55306e71d445d11f19e1a31c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2015-01-20T12:42:26Z","title_canon_sha256":"552a78436dc82a3bc7a75e47fef671ed66bb5e95588c12caec35b7be2b460131"},"schema_version":"1.0","source":{"id":"1501.04785","kind":"arxiv","version":3}},"canonical_sha256":"2bd8b967f4bb09c06524c780205c548c3ffc7c86576c09cb889fef5b13c1e45e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bd8b967f4bb09c06524c780205c548c3ffc7c86576c09cb889fef5b13c1e45e","first_computed_at":"2026-05-18T01:38:53.930795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:53.930795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EOt2MIcP/32+8MSVxXVuOIYlru4WdSkYG0gsCp5C4kpbfurCUFMY/S+Kd60Cl9Y1vtiIBrsVcJ3+02wRdWWaDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:53.931539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.04785","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82abd60b45b953d0bb9efc13c903aa87923dc1c45e16bd2b7d25cd0da9aa4dbc","sha256:f9ce627cc478bfd35d70b8578381d9852a90b6db981027b0c649044f8dd2f4d2"],"state_sha256":"45f96f779c8d1d828a5be95527efaa8cc4f3d86e372792470ee51c725c4a2424"}