{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:6QIOYLLD2EHJPFJOV7KUAUWUGY","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":"9639cab8ef4586e2046901b5348f7ebb122c499dcc4c758c073fea0476d5c917","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-13T10:19:34Z","title_canon_sha256":"67ca120db188236eb9166949c9db22fdbf8664a9ec570f3168dede553581059b"},"schema_version":"1.0","source":{"id":"1112.2845","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.2845","created_at":"2026-05-18T03:19:24Z"},{"alias_kind":"arxiv_version","alias_value":"1112.2845v2","created_at":"2026-05-18T03:19:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.2845","created_at":"2026-05-18T03:19:24Z"},{"alias_kind":"pith_short_12","alias_value":"6QIOYLLD2EHJ","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_16","alias_value":"6QIOYLLD2EHJPFJO","created_at":"2026-05-18T12:26:22Z"},{"alias_kind":"pith_short_8","alias_value":"6QIOYLLD","created_at":"2026-05-18T12:26:22Z"}],"graph_snapshots":[{"event_id":"sha256:9826e2931a6ec6f21e01d638b46c8e072b0b6196345a255cd8b6c6a5c0cbe293","target":"graph","created_at":"2026-05-18T03:19:24Z","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":"We discuss a method for constructing generalized Wannier functions that are maximally localized at the minima of a one-dimensional periodic potential with a double-well per unit cell. By following the approach of (Marzari M and Vanderbilt D 1997 Phys. Rev. B 56, 12847), we consider a set of band-mixing Wannier functions with minimal spread, and design a specific two-step gauge transformation of the Bloch functions for a composite two band system. This method is suited to efficiently compute the tight-binding coefficients needed for mapping the continuous system to a discrete lattice model. The","authors_text":"Giulio Pettini, Michele Modugno","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-13T10:19:34Z","title":"Maximally localized Wannier functions for ultracold atoms in one-dimensional double-well periodic potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.2845","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":"sha256:35c7351b4ba83a114bcde0f59207fbc3c05df1c500a2d2af863437a86193045f","target":"record","created_at":"2026-05-18T03:19:24Z","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":"9639cab8ef4586e2046901b5348f7ebb122c499dcc4c758c073fea0476d5c917","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-12-13T10:19:34Z","title_canon_sha256":"67ca120db188236eb9166949c9db22fdbf8664a9ec570f3168dede553581059b"},"schema_version":"1.0","source":{"id":"1112.2845","kind":"arxiv","version":2}},"canonical_sha256":"f410ec2d63d10e97952eafd54052d4363fc50cdb1cda7d5157c35da2c8d8710b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f410ec2d63d10e97952eafd54052d4363fc50cdb1cda7d5157c35da2c8d8710b","first_computed_at":"2026-05-18T03:19:24.446685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:24.446685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"trHqGcYvO6RpOHeiIIiroTifINUXmWXFCgN6FEEnoS4nswWeeGXR+2Ba6c2hdXpcsvIQ5ueEvby4Xeh5gYhsCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:24.447347Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.2845","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:35c7351b4ba83a114bcde0f59207fbc3c05df1c500a2d2af863437a86193045f","sha256:9826e2931a6ec6f21e01d638b46c8e072b0b6196345a255cd8b6c6a5c0cbe293"],"state_sha256":"c3bac41c7d95bc3c776c24b1f600c1cb95b1253a7d5bd4107db37f470a24530b"}