{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UBY4Z552YQZRWBOFMMCUMPDVYC","short_pith_number":"pith:UBY4Z552","schema_version":"1.0","canonical_sha256":"a071ccf7bac4331b05c56305463c75c08776aa38420a5762c85839bef88524f2","source":{"kind":"arxiv","id":"1612.06692","version":3},"attestation_state":"computed","paper":{"title":"Adaptive cluster approximation for reduced density-matrix functional theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Peter E. Bl\\\"ochl, Robert Schade","submitted_at":"2016-12-20T14:50:19Z","abstract_excerpt":"A method, called the adaptive cluster approximation (ACA), for single-impurity Anderson models is proposed. It is based on reduced density-matrix functional theory, where the one-particle reduced density matrix is used as the basic variable. The adaptive cluster approximation introduces a unitary transformation of the bath states such that the effect of the bath is concentrated to a small cluster around the impurity. For this small effective system one can then either calculate the reduced density-matrix functional numerically exact from Levy's constrained-search formalism or approximate it by"},"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":"1612.06692","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-20T14:50:19Z","cross_cats_sorted":[],"title_canon_sha256":"151b68dca1ace8cbe621b80bae4801f9ad04fee857aa96a2b7d188d6313b0633","abstract_canon_sha256":"a6d1dca599855bcfbb391d58800eef288b7ccf9ccb467700c7abd05118e1ba31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:45.938062Z","signature_b64":"M/l+CO288hKxzE8UqR8sv++lzXDTkxPRVuPJbjJMMHTQ5GZ7zHXpZx698gquLUjMMqgSuxRB+8vDLMqp9JDpAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a071ccf7bac4331b05c56305463c75c08776aa38420a5762c85839bef88524f2","last_reissued_at":"2026-05-18T00:12:45.937437Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:45.937437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Adaptive cluster approximation for reduced density-matrix functional theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Peter E. Bl\\\"ochl, Robert Schade","submitted_at":"2016-12-20T14:50:19Z","abstract_excerpt":"A method, called the adaptive cluster approximation (ACA), for single-impurity Anderson models is proposed. It is based on reduced density-matrix functional theory, where the one-particle reduced density matrix is used as the basic variable. The adaptive cluster approximation introduces a unitary transformation of the bath states such that the effect of the bath is concentrated to a small cluster around the impurity. For this small effective system one can then either calculate the reduced density-matrix functional numerically exact from Levy's constrained-search formalism or approximate it by"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06692","kind":"arxiv","version":3},"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":"1612.06692","created_at":"2026-05-18T00:12:45.937521+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.06692v3","created_at":"2026-05-18T00:12:45.937521+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06692","created_at":"2026-05-18T00:12:45.937521+00:00"},{"alias_kind":"pith_short_12","alias_value":"UBY4Z552YQZR","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UBY4Z552YQZRWBOF","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UBY4Z552","created_at":"2026-05-18T12:30:46.583412+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/UBY4Z552YQZRWBOFMMCUMPDVYC","json":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC.json","graph_json":"https://pith.science/api/pith-number/UBY4Z552YQZRWBOFMMCUMPDVYC/graph.json","events_json":"https://pith.science/api/pith-number/UBY4Z552YQZRWBOFMMCUMPDVYC/events.json","paper":"https://pith.science/paper/UBY4Z552"},"agent_actions":{"view_html":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC","download_json":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC.json","view_paper":"https://pith.science/paper/UBY4Z552","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.06692&json=true","fetch_graph":"https://pith.science/api/pith-number/UBY4Z552YQZRWBOFMMCUMPDVYC/graph.json","fetch_events":"https://pith.science/api/pith-number/UBY4Z552YQZRWBOFMMCUMPDVYC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC/action/storage_attestation","attest_author":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC/action/author_attestation","sign_citation":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC/action/citation_signature","submit_replication":"https://pith.science/pith/UBY4Z552YQZRWBOFMMCUMPDVYC/action/replication_record"}},"created_at":"2026-05-18T00:12:45.937521+00:00","updated_at":"2026-05-18T00:12:45.937521+00:00"}