{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:UHF6T56JOROL2RZSTWPHTT5UH2","short_pith_number":"pith:UHF6T56J","schema_version":"1.0","canonical_sha256":"a1cbe9f7c9745cbd47329d9e79cfb43e91955220d04eec62d6132791d41b534d","source":{"kind":"arxiv","id":"1901.01321","version":1},"attestation_state":"computed","paper":{"title":"Diverging exchange force and form of the exact density matrix functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Christian Schilling, Rolf Schilling","submitted_at":"2019-01-04T21:45:49Z","abstract_excerpt":"For translationally invariant one-band lattice models, we exploit the ab initio knowledge of the natural orbitals to simplify reduced density matrix functional theory (RDMFT). Striking underlying features are discovered: First, within each symmetry sector, the interaction functional $\\mathcal{F}$ depends only on the natural occupation numbers $\\bf{n}$. The respective sets $\\mathcal{P}^1_N$ and $\\mathcal{E}^1_N$ of pure and ensemble $N$-representable one-matrices coincide. Second, and most importantly, the exact functional is strongly shaped by the geometry of the polytope $\\mathcal{E}^1_N \\equ"},"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":"1901.01321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-01-04T21:45:49Z","cross_cats_sorted":["cond-mat.str-el","physics.chem-ph"],"title_canon_sha256":"0be5c3ee6ef20ba4a922edc71df5eed6b4a171380c1ad0eaf5a6169ce9fa2ed8","abstract_canon_sha256":"f1e22123495ea34012efe3bdc47d4941d582ed86a26b8dd14d467430843a59fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:52.260686Z","signature_b64":"XtNF25mvcfr/b5QfWuRtn6jIfo4ULYr9MPmFPlobmoJTPxgAmITVhqdWV4v5qcnwyOJ3S6qVtXYAC1w4qkuOAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1cbe9f7c9745cbd47329d9e79cfb43e91955220d04eec62d6132791d41b534d","last_reissued_at":"2026-05-17T23:56:52.260262Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:52.260262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diverging exchange force and form of the exact density matrix functional","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Christian Schilling, Rolf Schilling","submitted_at":"2019-01-04T21:45:49Z","abstract_excerpt":"For translationally invariant one-band lattice models, we exploit the ab initio knowledge of the natural orbitals to simplify reduced density matrix functional theory (RDMFT). Striking underlying features are discovered: First, within each symmetry sector, the interaction functional $\\mathcal{F}$ depends only on the natural occupation numbers $\\bf{n}$. The respective sets $\\mathcal{P}^1_N$ and $\\mathcal{E}^1_N$ of pure and ensemble $N$-representable one-matrices coincide. Second, and most importantly, the exact functional is strongly shaped by the geometry of the polytope $\\mathcal{E}^1_N \\equ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01321","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":"1901.01321","created_at":"2026-05-17T23:56:52.260339+00:00"},{"alias_kind":"arxiv_version","alias_value":"1901.01321v1","created_at":"2026-05-17T23:56:52.260339+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.01321","created_at":"2026-05-17T23:56:52.260339+00:00"},{"alias_kind":"pith_short_12","alias_value":"UHF6T56JOROL","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_16","alias_value":"UHF6T56JOROL2RZS","created_at":"2026-05-18T12:33:30.264802+00:00"},{"alias_kind":"pith_short_8","alias_value":"UHF6T56J","created_at":"2026-05-18T12:33:30.264802+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/UHF6T56JOROL2RZSTWPHTT5UH2","json":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2.json","graph_json":"https://pith.science/api/pith-number/UHF6T56JOROL2RZSTWPHTT5UH2/graph.json","events_json":"https://pith.science/api/pith-number/UHF6T56JOROL2RZSTWPHTT5UH2/events.json","paper":"https://pith.science/paper/UHF6T56J"},"agent_actions":{"view_html":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2","download_json":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2.json","view_paper":"https://pith.science/paper/UHF6T56J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1901.01321&json=true","fetch_graph":"https://pith.science/api/pith-number/UHF6T56JOROL2RZSTWPHTT5UH2/graph.json","fetch_events":"https://pith.science/api/pith-number/UHF6T56JOROL2RZSTWPHTT5UH2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2/action/storage_attestation","attest_author":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2/action/author_attestation","sign_citation":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2/action/citation_signature","submit_replication":"https://pith.science/pith/UHF6T56JOROL2RZSTWPHTT5UH2/action/replication_record"}},"created_at":"2026-05-17T23:56:52.260339+00:00","updated_at":"2026-05-17T23:56:52.260339+00:00"}