{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:CGT7U3RJAITSY4LVUCKGWW44C4","short_pith_number":"pith:CGT7U3RJ","schema_version":"1.0","canonical_sha256":"11a7fa6e2902272c7175a0946b5b9c173c7bf21d0f5835f200239680c8860a9e","source":{"kind":"arxiv","id":"2506.04314","version":1},"attestation_state":"computed","paper":{"title":"Geometric Bloch oscillations and transverse displacement in flat band systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.mes-hall","authors_text":"Giandomenico Palumbo, Jing-Xin Liu, Marco Di Liberto","submitted_at":"2025-06-04T18:00:01Z","abstract_excerpt":"We investigate transport phenomena and dynamical effects in flat bands where the band dispersion plays no role. We show that wavepackets in geometrically non-trivial flat bands can display dynamics when inhomogeneous electric fields are present. This dynamics is revealed both for the wavepacket trajectory and for its variance, for which we derive semiclassical equations extended to the non-Abelian case. Our findings are tested in flat band models in one- and two-dimensional lattices where the dynamics is solely determined by geometric effects, in the absence of band dispersion. In particular, "},"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":"2506.04314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2025-06-04T18:00:01Z","cross_cats_sorted":["cond-mat.quant-gas"],"title_canon_sha256":"8d8bed4e3315eab2ad5acb6cb4dd256f79bc9f1683dbbbac9b074c04f4c1e86e","abstract_canon_sha256":"39c99389cc605b7b3e27f4b88b3a73c321a4071fd1e2f448b52d37b7f537ee83"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:16:12.335066Z","signature_b64":"MCeXsRksS+R9tA6rJHMojjiMYN2s4JEkjiGOXtcBD4GVAr3d4oRrXyQG2OuK4LnbsKy1N2bOulkXBR1yEGIlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11a7fa6e2902272c7175a0946b5b9c173c7bf21d0f5835f200239680c8860a9e","last_reissued_at":"2026-07-05T11:16:12.334574Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:16:12.334574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometric Bloch oscillations and transverse displacement in flat band systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.quant-gas"],"primary_cat":"cond-mat.mes-hall","authors_text":"Giandomenico Palumbo, Jing-Xin Liu, Marco Di Liberto","submitted_at":"2025-06-04T18:00:01Z","abstract_excerpt":"We investigate transport phenomena and dynamical effects in flat bands where the band dispersion plays no role. We show that wavepackets in geometrically non-trivial flat bands can display dynamics when inhomogeneous electric fields are present. This dynamics is revealed both for the wavepacket trajectory and for its variance, for which we derive semiclassical equations extended to the non-Abelian case. Our findings are tested in flat band models in one- and two-dimensional lattices where the dynamics is solely determined by geometric effects, in the absence of band dispersion. In particular, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04314","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/2506.04314/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":"2506.04314","created_at":"2026-07-05T11:16:12.334630+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.04314v1","created_at":"2026-07-05T11:16:12.334630+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04314","created_at":"2026-07-05T11:16:12.334630+00:00"},{"alias_kind":"pith_short_12","alias_value":"CGT7U3RJAITS","created_at":"2026-07-05T11:16:12.334630+00:00"},{"alias_kind":"pith_short_16","alias_value":"CGT7U3RJAITSY4LV","created_at":"2026-07-05T11:16:12.334630+00:00"},{"alias_kind":"pith_short_8","alias_value":"CGT7U3RJ","created_at":"2026-07-05T11:16:12.334630+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/CGT7U3RJAITSY4LVUCKGWW44C4","json":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4.json","graph_json":"https://pith.science/api/pith-number/CGT7U3RJAITSY4LVUCKGWW44C4/graph.json","events_json":"https://pith.science/api/pith-number/CGT7U3RJAITSY4LVUCKGWW44C4/events.json","paper":"https://pith.science/paper/CGT7U3RJ"},"agent_actions":{"view_html":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4","download_json":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4.json","view_paper":"https://pith.science/paper/CGT7U3RJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.04314&json=true","fetch_graph":"https://pith.science/api/pith-number/CGT7U3RJAITSY4LVUCKGWW44C4/graph.json","fetch_events":"https://pith.science/api/pith-number/CGT7U3RJAITSY4LVUCKGWW44C4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4/action/storage_attestation","attest_author":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4/action/author_attestation","sign_citation":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4/action/citation_signature","submit_replication":"https://pith.science/pith/CGT7U3RJAITSY4LVUCKGWW44C4/action/replication_record"}},"created_at":"2026-07-05T11:16:12.334630+00:00","updated_at":"2026-07-05T11:16:12.334630+00:00"}