{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6XX7ZXYHYSPR3GOVWCLIPGS7JK","short_pith_number":"pith:6XX7ZXYH","schema_version":"1.0","canonical_sha256":"f5effcdf07c49f1d99d5b096879a5f4a9823874db0bb2bc9ffeb2ef2495ff8a9","source":{"kind":"arxiv","id":"1807.05299","version":2},"attestation_state":"computed","paper":{"title":"Orthogonalization of fermion k-body operators and representability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Robert Rauch, Volker Bach","submitted_at":"2018-07-13T22:29:30Z","abstract_excerpt":"The reduced k-particle density matrix of a density matrix on finite-dimensional, fermion Fock space can be defined as the image under the orthogonal projection in the Hilbert-Schmidt geometry onto the space of k-body observables. A proper understanding of this projection is therefore intimately related to the representability problem, a long-standing open problem in computational quantum chemistry. Given an orthonormal basis in the finite-dimensional one-particle Hilbert space, we explicitly construct an orthonormal basis of the space of Fock space operators which restricts to an orthonormal b"},"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":"1807.05299","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-07-13T22:29:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6dba32347094d9aa411d1a69cbfad5e1c062cc41bfb60b40911a4f533d7264f8","abstract_canon_sha256":"a56cff608bc358e7f5e5df1602cb0acdf255459a093849ffa3e4d5c8c7a16387"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:34.042125Z","signature_b64":"kZGlqjh7TG/gy0pABMRJXRxzWi7dKf6Vd4nYSFoCpUArLauWC455JN40+AB2VvZuYuv6gmk8uZug61UsoENsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5effcdf07c49f1d99d5b096879a5f4a9823874db0bb2bc9ffeb2ef2495ff8a9","last_reissued_at":"2026-05-17T23:48:34.041577Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:34.041577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orthogonalization of fermion k-body operators and representability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Robert Rauch, Volker Bach","submitted_at":"2018-07-13T22:29:30Z","abstract_excerpt":"The reduced k-particle density matrix of a density matrix on finite-dimensional, fermion Fock space can be defined as the image under the orthogonal projection in the Hilbert-Schmidt geometry onto the space of k-body observables. A proper understanding of this projection is therefore intimately related to the representability problem, a long-standing open problem in computational quantum chemistry. Given an orthonormal basis in the finite-dimensional one-particle Hilbert space, we explicitly construct an orthonormal basis of the space of Fock space operators which restricts to an orthonormal b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05299","kind":"arxiv","version":2},"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":"1807.05299","created_at":"2026-05-17T23:48:34.041654+00:00"},{"alias_kind":"arxiv_version","alias_value":"1807.05299v2","created_at":"2026-05-17T23:48:34.041654+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05299","created_at":"2026-05-17T23:48:34.041654+00:00"},{"alias_kind":"pith_short_12","alias_value":"6XX7ZXYHYSPR","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"6XX7ZXYHYSPR3GOV","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"6XX7ZXYH","created_at":"2026-05-18T12:32:11.075285+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/6XX7ZXYHYSPR3GOVWCLIPGS7JK","json":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK.json","graph_json":"https://pith.science/api/pith-number/6XX7ZXYHYSPR3GOVWCLIPGS7JK/graph.json","events_json":"https://pith.science/api/pith-number/6XX7ZXYHYSPR3GOVWCLIPGS7JK/events.json","paper":"https://pith.science/paper/6XX7ZXYH"},"agent_actions":{"view_html":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK","download_json":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK.json","view_paper":"https://pith.science/paper/6XX7ZXYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1807.05299&json=true","fetch_graph":"https://pith.science/api/pith-number/6XX7ZXYHYSPR3GOVWCLIPGS7JK/graph.json","fetch_events":"https://pith.science/api/pith-number/6XX7ZXYHYSPR3GOVWCLIPGS7JK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK/action/storage_attestation","attest_author":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK/action/author_attestation","sign_citation":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK/action/citation_signature","submit_replication":"https://pith.science/pith/6XX7ZXYHYSPR3GOVWCLIPGS7JK/action/replication_record"}},"created_at":"2026-05-17T23:48:34.041654+00:00","updated_at":"2026-05-17T23:48:34.041654+00:00"}