{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:P5CN3RR4ZLEJ2Q32QB2JUKZFNJ","short_pith_number":"pith:P5CN3RR4","schema_version":"1.0","canonical_sha256":"7f44ddc63ccac89d437a80749a2b256a6dd0b5b1bfcef28538976c029456c6ec","source":{"kind":"arxiv","id":"1209.3145","version":1},"attestation_state":"computed","paper":{"title":"Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A-Hai Chen, Gao Xianlong, I. V. Tokatly, S. Kurth","submitted_at":"2012-09-14T10:23:22Z","abstract_excerpt":"The derivative discontinuity of the exchange-correlation (xc) energy at integer particle number is a property of the exact, unknown xc functional of density functional theory (DFT) which is absent in many popular local and semilocal approximations. In lattice DFT, approximations exist which exhibit a discontinuity in the xc potential at half filling. However, due to convergence problems of the Kohn-Sham (KS) self-consistency cycle, the use of these functionals is mostly restricted to situations where the local density is away from half filling. Here a numerical scheme for the self-consistent s"},"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":"1209.3145","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-09-14T10:23:22Z","cross_cats_sorted":[],"title_canon_sha256":"51730b17c9c53279d173cb985320b2b37aa653eb363e63e2ca6e24e8ee574ea3","abstract_canon_sha256":"90c9221043a406543a08bb5d5cdccdc50c8c5b50f0f3a4af9c7f72f1a9e37165"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:29.115982Z","signature_b64":"jrQ9DOoetdAOT0pxxihYH6VmH50VatslZESnOFxMxTyISO1HH7mnw2mUl8TGeXYp81a/lVGqR5StAL8+lc9jDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f44ddc63ccac89d437a80749a2b256a6dd0b5b1bfcef28538976c029456c6ec","last_reissued_at":"2026-05-18T01:54:29.115491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:29.115491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A-Hai Chen, Gao Xianlong, I. V. Tokatly, S. Kurth","submitted_at":"2012-09-14T10:23:22Z","abstract_excerpt":"The derivative discontinuity of the exchange-correlation (xc) energy at integer particle number is a property of the exact, unknown xc functional of density functional theory (DFT) which is absent in many popular local and semilocal approximations. In lattice DFT, approximations exist which exhibit a discontinuity in the xc potential at half filling. However, due to convergence problems of the Kohn-Sham (KS) self-consistency cycle, the use of these functionals is mostly restricted to situations where the local density is away from half filling. Here a numerical scheme for the self-consistent s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3145","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":"1209.3145","created_at":"2026-05-18T01:54:29.115571+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.3145v1","created_at":"2026-05-18T01:54:29.115571+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3145","created_at":"2026-05-18T01:54:29.115571+00:00"},{"alias_kind":"pith_short_12","alias_value":"P5CN3RR4ZLEJ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"P5CN3RR4ZLEJ2Q32","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"P5CN3RR4","created_at":"2026-05-18T12:27:18.751474+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/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ","json":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ.json","graph_json":"https://pith.science/api/pith-number/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/graph.json","events_json":"https://pith.science/api/pith-number/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/events.json","paper":"https://pith.science/paper/P5CN3RR4"},"agent_actions":{"view_html":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ","download_json":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ.json","view_paper":"https://pith.science/paper/P5CN3RR4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.3145&json=true","fetch_graph":"https://pith.science/api/pith-number/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/graph.json","fetch_events":"https://pith.science/api/pith-number/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/action/storage_attestation","attest_author":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/action/author_attestation","sign_citation":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/action/citation_signature","submit_replication":"https://pith.science/pith/P5CN3RR4ZLEJ2Q32QB2JUKZFNJ/action/replication_record"}},"created_at":"2026-05-18T01:54:29.115571+00:00","updated_at":"2026-05-18T01:54:29.115571+00:00"}