{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TF7ZBJY75CMMIUTA77LJWEPEPI","short_pith_number":"pith:TF7ZBJY7","schema_version":"1.0","canonical_sha256":"997f90a71fe898c45260ffd69b11e47a21d62f027ecd325370b4151fd8d2a86a","source":{"kind":"arxiv","id":"1403.6883","version":1},"attestation_state":"computed","paper":{"title":"Compressed Wannier modes found from an $L_1$ regularized energy functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Farzin Barekat, Ke Yin, Rongjie Lai, Russel E. Caflisch, Stanley J. Osher, Vidvuds Ozolins","submitted_at":"2014-03-26T22:43:49Z","abstract_excerpt":"We propose a method for calculating Wannier functions of periodic solids directly from a modified variational principle for the energy, subject to the requirement that the Wannier functions are orthogonal to all their translations (\"shift-orthogonality\"). Localization is achieved by adding an $L_1$ regularization term to the energy functional. This approach results in \"compressed\" Wannier modes with compact support, where one parameter $\\mu$ controls the trade-off between the accuracy of the total energy and the size of the support of the Wannier modes. Efficient algorithms for shift-orthogona"},"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":"1403.6883","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2014-03-26T22:43:49Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"ebe10af49b73bb9cfa208b9cd382278bfe51f9403eb52cda2376f329ed1680b0","abstract_canon_sha256":"e6217a5aa8a7a8c2c59fd14f20491e259eabe12603488f5c3fbd65052f85567c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:26.990861Z","signature_b64":"8IQGY4HJawOJJgVDFV4hIfYu8UAGKOv8epdZUjZGGiXrDf9I1evi0UgYPJwSzjnBk/WFbFnWafRpQwa6XXaoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"997f90a71fe898c45260ffd69b11e47a21d62f027ecd325370b4151fd8d2a86a","last_reissued_at":"2026-05-18T02:55:26.990390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:26.990390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Compressed Wannier modes found from an $L_1$ regularized energy functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Farzin Barekat, Ke Yin, Rongjie Lai, Russel E. Caflisch, Stanley J. Osher, Vidvuds Ozolins","submitted_at":"2014-03-26T22:43:49Z","abstract_excerpt":"We propose a method for calculating Wannier functions of periodic solids directly from a modified variational principle for the energy, subject to the requirement that the Wannier functions are orthogonal to all their translations (\"shift-orthogonality\"). Localization is achieved by adding an $L_1$ regularization term to the energy functional. This approach results in \"compressed\" Wannier modes with compact support, where one parameter $\\mu$ controls the trade-off between the accuracy of the total energy and the size of the support of the Wannier modes. Efficient algorithms for shift-orthogona"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6883","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":""},"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":"1403.6883","created_at":"2026-05-18T02:55:26.990467+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.6883v1","created_at":"2026-05-18T02:55:26.990467+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6883","created_at":"2026-05-18T02:55:26.990467+00:00"},{"alias_kind":"pith_short_12","alias_value":"TF7ZBJY75CMM","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"TF7ZBJY75CMMIUTA","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"TF7ZBJY7","created_at":"2026-05-18T12:28:49.207871+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/TF7ZBJY75CMMIUTA77LJWEPEPI","json":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI.json","graph_json":"https://pith.science/api/pith-number/TF7ZBJY75CMMIUTA77LJWEPEPI/graph.json","events_json":"https://pith.science/api/pith-number/TF7ZBJY75CMMIUTA77LJWEPEPI/events.json","paper":"https://pith.science/paper/TF7ZBJY7"},"agent_actions":{"view_html":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI","download_json":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI.json","view_paper":"https://pith.science/paper/TF7ZBJY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.6883&json=true","fetch_graph":"https://pith.science/api/pith-number/TF7ZBJY75CMMIUTA77LJWEPEPI/graph.json","fetch_events":"https://pith.science/api/pith-number/TF7ZBJY75CMMIUTA77LJWEPEPI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI/action/storage_attestation","attest_author":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI/action/author_attestation","sign_citation":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI/action/citation_signature","submit_replication":"https://pith.science/pith/TF7ZBJY75CMMIUTA77LJWEPEPI/action/replication_record"}},"created_at":"2026-05-18T02:55:26.990467+00:00","updated_at":"2026-05-18T02:55:26.990467+00:00"}