{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PA6LJXMHIMHBV2EBMWMCJ5RWLX","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":"346cd9b427b89e57a225b7bf4d594ff8c455977f18aa5d4d8c34fbb0dd343a7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2012-08-23T09:55:13Z","title_canon_sha256":"56dd541f7bdd55688e0ae57a6cd2bcbc59c4670cc49bafbf64f0af7ed3b82a3d"},"schema_version":"1.0","source":{"id":"1208.4707","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4707","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4707v1","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4707","created_at":"2026-05-18T03:48:12Z"},{"alias_kind":"pith_short_12","alias_value":"PA6LJXMHIMHB","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PA6LJXMHIMHBV2EB","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PA6LJXMH","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:b4d166b4832196f0e78b3554619b9f904bfacb521b3386363472e449242462f3","target":"graph","created_at":"2026-05-18T03:48:12Z","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":"Based on our derivation of finite temperature reduced density matrix functional theory and the discussion of the performance of its first-order functional this work presents several different correlation-energy functionals and applies them to the homogeneous electron gas. The zero temperature limits of the correlation-energy and the momentum distributions are investigated and the magnetic phase diagrams in collinear spin configuration are discussed.","authors_text":"2), (2) Max-Planck-Institut f\\\"ur Mikrostrukturphysik, Berlin, E. K. U. Gross (2) ((1) Institut f\\\"ur Theoretische Physik, Freie Universit\\\"at, Germany, Germany), Halle (Saale), Tim Baldsiefen (1","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2012-08-23T09:55:13Z","title":"Reduced density matrix functional theory at finite temperature. III. Application to the electron gas: Correlation effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4707","kind":"arxiv","version":1},"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":"sha256:20b8e0809a316f1aec1d9ebf018c8716e6add841fceddd84f2eb828db809f7c0","target":"record","created_at":"2026-05-18T03:48:12Z","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":"346cd9b427b89e57a225b7bf4d594ff8c455977f18aa5d4d8c34fbb0dd343a7c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.other","submitted_at":"2012-08-23T09:55:13Z","title_canon_sha256":"56dd541f7bdd55688e0ae57a6cd2bcbc59c4670cc49bafbf64f0af7ed3b82a3d"},"schema_version":"1.0","source":{"id":"1208.4707","kind":"arxiv","version":1}},"canonical_sha256":"783cb4dd87430e1ae881659824f6365dd96f9a4166cbfdb8429bf63a5ee4535f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"783cb4dd87430e1ae881659824f6365dd96f9a4166cbfdb8429bf63a5ee4535f","first_computed_at":"2026-05-18T03:48:12.819258Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:12.819258Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CdRl4AYFnsktIJOF4SiEBCHC4kxDhzHdMM6rMob5A+f5hRGHYiGIpKdGub+cbmGtS5Aru6dFukHKj6404o49BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:12.819846Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4707","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20b8e0809a316f1aec1d9ebf018c8716e6add841fceddd84f2eb828db809f7c0","sha256:b4d166b4832196f0e78b3554619b9f904bfacb521b3386363472e449242462f3"],"state_sha256":"eaed6d2d8438c7b2068d08e224fff4000fca4af43e1af9682ae3ccfaf6ccef7d"}