{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:V7UBVN2HUZKKNBRCYN6CZN6TLJ","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":"52197900c452cedfa2dfa8660fb0a55c2d63b623e0d44dbe4897adedcd72fd54","cross_cats_sorted":["cond-mat.other","math.MP","physics.atom-ph","physics.chem-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-24T14:36:54Z","title_canon_sha256":"646dadc620447eeba51d6de9e6c16dcc7a6ff8ffd691361dbad6833c0471a6ba"},"schema_version":"1.0","source":{"id":"1710.08805","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.08805","created_at":"2026-05-17T23:44:04Z"},{"alias_kind":"arxiv_version","alias_value":"1710.08805v4","created_at":"2026-05-17T23:44:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08805","created_at":"2026-05-17T23:44:04Z"},{"alias_kind":"pith_short_12","alias_value":"V7UBVN2HUZKK","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"V7UBVN2HUZKKNBRC","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"V7UBVN2H","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:b2d6df8f1f5e845548d55327139ef5ed2b246ea1304920e7c8289ee2dbe19042","target":"graph","created_at":"2026-05-17T23:44:04Z","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":"In this review we provide a rigorous and self-contained presentation of one-body reduced density-matrix (1RDM) functional theory. We do so for the case of a finite basis set, where density-functional theory (DFT) implicitly becomes a 1RDM functional theory. To avoid non-uniqueness issues we consider the case of fermionic and bosonic systems at elevated temperature and variable particle number, i.e, a grand-canonical ensemble. For the fermionic case the Fock space is finite-dimensional due to the Pauli principle and we can provide a rigorous 1RDM functional theory relatively straightforwardly. ","authors_text":"Klaas J. H. Giesbertz, Michael Ruggenthaler","cross_cats":["cond-mat.other","math.MP","physics.atom-ph","physics.chem-ph","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-24T14:36:54Z","title":"One-body reduced density-matrix functional theory in finite basis sets at elevated temperatures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08805","kind":"arxiv","version":4},"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":"sha256:83d918a2dce2620057aee049ddcc7bab7eb280d9443a7ec61711db630dac590a","target":"record","created_at":"2026-05-17T23:44:04Z","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":"52197900c452cedfa2dfa8660fb0a55c2d63b623e0d44dbe4897adedcd72fd54","cross_cats_sorted":["cond-mat.other","math.MP","physics.atom-ph","physics.chem-ph","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-24T14:36:54Z","title_canon_sha256":"646dadc620447eeba51d6de9e6c16dcc7a6ff8ffd691361dbad6833c0471a6ba"},"schema_version":"1.0","source":{"id":"1710.08805","kind":"arxiv","version":4}},"canonical_sha256":"afe81ab747a654a68622c37c2cb7d35a43ce13b82902c72167a273e50d31bcd6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afe81ab747a654a68622c37c2cb7d35a43ce13b82902c72167a273e50d31bcd6","first_computed_at":"2026-05-17T23:44:04.832690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:04.832690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1H6vDoQngZXJIYVeiYpvIg2PTN6RZXSmRdrHDwQJXegBmRMeqpz4bQbmA0eODQouIg3I6ssFHjaJEV7m4l5vCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:04.833205Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.08805","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:83d918a2dce2620057aee049ddcc7bab7eb280d9443a7ec61711db630dac590a","sha256:b2d6df8f1f5e845548d55327139ef5ed2b246ea1304920e7c8289ee2dbe19042"],"state_sha256":"10449e63da1c8c24a2dc137ab355604df3e8cbced3cbaf8460de109e2ed000f5"}