{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:V7UBVN2HUZKKNBRCYN6CZN6TLJ","short_pith_number":"pith:V7UBVN2H","schema_version":"1.0","canonical_sha256":"afe81ab747a654a68622c37c2cb7d35a43ce13b82902c72167a273e50d31bcd6","source":{"kind":"arxiv","id":"1710.08805","version":4},"attestation_state":"computed","paper":{"title":"One-body reduced density-matrix functional theory in finite basis sets at elevated temperatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP","physics.atom-ph","physics.chem-ph","quant-ph"],"primary_cat":"math-ph","authors_text":"Klaas J. H. Giesbertz, Michael Ruggenthaler","submitted_at":"2017-10-24T14:36:54Z","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. "},"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":"1710.08805","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-24T14:36:54Z","cross_cats_sorted":["cond-mat.other","math.MP","physics.atom-ph","physics.chem-ph","quant-ph"],"title_canon_sha256":"646dadc620447eeba51d6de9e6c16dcc7a6ff8ffd691361dbad6833c0471a6ba","abstract_canon_sha256":"52197900c452cedfa2dfa8660fb0a55c2d63b623e0d44dbe4897adedcd72fd54"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:04.833205Z","signature_b64":"1H6vDoQngZXJIYVeiYpvIg2PTN6RZXSmRdrHDwQJXegBmRMeqpz4bQbmA0eODQouIg3I6ssFHjaJEV7m4l5vCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afe81ab747a654a68622c37c2cb7d35a43ce13b82902c72167a273e50d31bcd6","last_reissued_at":"2026-05-17T23:44:04.832690Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:04.832690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-body reduced density-matrix functional theory in finite basis sets at elevated temperatures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP","physics.atom-ph","physics.chem-ph","quant-ph"],"primary_cat":"math-ph","authors_text":"Klaas J. H. Giesbertz, Michael Ruggenthaler","submitted_at":"2017-10-24T14:36:54Z","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. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.08805","kind":"arxiv","version":4},"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":"1710.08805","created_at":"2026-05-17T23:44:04.832768+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.08805v4","created_at":"2026-05-17T23:44:04.832768+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.08805","created_at":"2026-05-17T23:44:04.832768+00:00"},{"alias_kind":"pith_short_12","alias_value":"V7UBVN2HUZKK","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"V7UBVN2HUZKKNBRC","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"V7UBVN2H","created_at":"2026-05-18T12:31:49.984773+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/V7UBVN2HUZKKNBRCYN6CZN6TLJ","json":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ.json","graph_json":"https://pith.science/api/pith-number/V7UBVN2HUZKKNBRCYN6CZN6TLJ/graph.json","events_json":"https://pith.science/api/pith-number/V7UBVN2HUZKKNBRCYN6CZN6TLJ/events.json","paper":"https://pith.science/paper/V7UBVN2H"},"agent_actions":{"view_html":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ","download_json":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ.json","view_paper":"https://pith.science/paper/V7UBVN2H","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.08805&json=true","fetch_graph":"https://pith.science/api/pith-number/V7UBVN2HUZKKNBRCYN6CZN6TLJ/graph.json","fetch_events":"https://pith.science/api/pith-number/V7UBVN2HUZKKNBRCYN6CZN6TLJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ/action/storage_attestation","attest_author":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ/action/author_attestation","sign_citation":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ/action/citation_signature","submit_replication":"https://pith.science/pith/V7UBVN2HUZKKNBRCYN6CZN6TLJ/action/replication_record"}},"created_at":"2026-05-17T23:44:04.832768+00:00","updated_at":"2026-05-17T23:44:04.832768+00:00"}