{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:RCINTKBJ3PB2X27FATL55ARDNK","short_pith_number":"pith:RCINTKBJ","schema_version":"1.0","canonical_sha256":"8890d9a829dbc3abebe504d7de82236a90a8cb9f3d3e8d3b01b4cfc4072be03a","source":{"kind":"arxiv","id":"1403.1525","version":1},"attestation_state":"computed","paper":{"title":"Density matrix minimization with $\\ell_1$ regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.NA","physics.comp-ph"],"primary_cat":"math-ph","authors_text":"Jianfeng Lu, Rongjie Lai, Stanley Osher","submitted_at":"2014-03-06T18:34:50Z","abstract_excerpt":"We propose a convex variational principle to find sparse representation of low-lying eigenspace of symmetric matrices. In the context of electronic structure calculation, this corresponds to a sparse density matrix minimization algorithm with $\\ell_1$ regularization. The minimization problem can be efficiently solved by a split Bergman iteration type algorithm. We further prove that from any initial condition, the algorithm converges to a minimizer of the variational principle."},"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":"1403.1525","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-06T18:34:50Z","cross_cats_sorted":["math.MP","math.NA","physics.comp-ph"],"title_canon_sha256":"c808bea4c1a240a95f0646473c4896848d3f78cca2443405180159cf6518e9f1","abstract_canon_sha256":"efe22afa5042bd3a3bcdf7e189401071a638cc339c97e3123e2ae919e4454de9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:51.369165Z","signature_b64":"G3ZY+193b5XIUk/fxjqnAJWobNbZWDEDTC9UxHPYaueYV1IHqQQSA05NSCAZGn/5aZBXDBYWXaoLCsOzfTQjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8890d9a829dbc3abebe504d7de82236a90a8cb9f3d3e8d3b01b4cfc4072be03a","last_reissued_at":"2026-05-18T02:56:51.368764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:51.368764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density matrix minimization with $\\ell_1$ regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.NA","physics.comp-ph"],"primary_cat":"math-ph","authors_text":"Jianfeng Lu, Rongjie Lai, Stanley Osher","submitted_at":"2014-03-06T18:34:50Z","abstract_excerpt":"We propose a convex variational principle to find sparse representation of low-lying eigenspace of symmetric matrices. In the context of electronic structure calculation, this corresponds to a sparse density matrix minimization algorithm with $\\ell_1$ regularization. The minimization problem can be efficiently solved by a split Bergman iteration type algorithm. We further prove that from any initial condition, the algorithm converges to a minimizer of the variational principle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1525","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":"1403.1525","created_at":"2026-05-18T02:56:51.368822+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.1525v1","created_at":"2026-05-18T02:56:51.368822+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1525","created_at":"2026-05-18T02:56:51.368822+00:00"},{"alias_kind":"pith_short_12","alias_value":"RCINTKBJ3PB2","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"RCINTKBJ3PB2X27F","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"RCINTKBJ","created_at":"2026-05-18T12:28:46.137349+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/RCINTKBJ3PB2X27FATL55ARDNK","json":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK.json","graph_json":"https://pith.science/api/pith-number/RCINTKBJ3PB2X27FATL55ARDNK/graph.json","events_json":"https://pith.science/api/pith-number/RCINTKBJ3PB2X27FATL55ARDNK/events.json","paper":"https://pith.science/paper/RCINTKBJ"},"agent_actions":{"view_html":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK","download_json":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK.json","view_paper":"https://pith.science/paper/RCINTKBJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.1525&json=true","fetch_graph":"https://pith.science/api/pith-number/RCINTKBJ3PB2X27FATL55ARDNK/graph.json","fetch_events":"https://pith.science/api/pith-number/RCINTKBJ3PB2X27FATL55ARDNK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK/action/storage_attestation","attest_author":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK/action/author_attestation","sign_citation":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK/action/citation_signature","submit_replication":"https://pith.science/pith/RCINTKBJ3PB2X27FATL55ARDNK/action/replication_record"}},"created_at":"2026-05-18T02:56:51.368822+00:00","updated_at":"2026-05-18T02:56:51.368822+00:00"}