{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:BFRGGHUFUUHPNWC3SM4HFT272L","short_pith_number":"pith:BFRGGHUF","schema_version":"1.0","canonical_sha256":"0962631e85a50ef6d85b933872cf5fd2e05d4f9a9842c179ee23f8e8e1d361ad","source":{"kind":"arxiv","id":"1010.4095","version":2},"attestation_state":"computed","paper":{"title":"Variational approach for the electronic structure calculation on the second-order reduced density matrices and the $N$-representability problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Katsuki Fujisawa, Maho Nakata, Mituhiro Fukuda","submitted_at":"2010-10-20T03:34:00Z","abstract_excerpt":"The reduced-density-matrix method is an promising candidate for the next generation electronic structure calculation method; it is equivalent to solve the Schr\\\"odinger equation for the ground state. The number of variables is the same as a four electron system and constant regardless of the electrons in the system. Thus many researchers have been dreaming of a much simpler method for quantum mechanics. In this chapter, we give a overview of the reduced-density matrix method; details of the theories, methods, history, and some new computational results. Typically, the results are comparable to"},"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":"1010.4095","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-10-20T03:34:00Z","cross_cats_sorted":[],"title_canon_sha256":"0c50dc02ecdac4613b25289aeb7e4e22e06b400c963a547465810de3b618f4f0","abstract_canon_sha256":"47042d1cbde879296d71516b5167b608dbd1a61c06a7546db45d11dc212e77e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:23.178177Z","signature_b64":"hP2tURAQp93FiDtcGNYpmMV0MWv1noiK3T7PFEBQp9HCR2Lr0aiMRBfgpG4z6m4g6k95TUbh+aDqF7a5DJw9Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0962631e85a50ef6d85b933872cf5fd2e05d4f9a9842c179ee23f8e8e1d361ad","last_reissued_at":"2026-05-18T04:19:23.177683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:23.177683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Variational approach for the electronic structure calculation on the second-order reduced density matrices and the $N$-representability problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Katsuki Fujisawa, Maho Nakata, Mituhiro Fukuda","submitted_at":"2010-10-20T03:34:00Z","abstract_excerpt":"The reduced-density-matrix method is an promising candidate for the next generation electronic structure calculation method; it is equivalent to solve the Schr\\\"odinger equation for the ground state. The number of variables is the same as a four electron system and constant regardless of the electrons in the system. Thus many researchers have been dreaming of a much simpler method for quantum mechanics. In this chapter, we give a overview of the reduced-density matrix method; details of the theories, methods, history, and some new computational results. Typically, the results are comparable to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4095","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":"1010.4095","created_at":"2026-05-18T04:19:23.177757+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.4095v2","created_at":"2026-05-18T04:19:23.177757+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4095","created_at":"2026-05-18T04:19:23.177757+00:00"},{"alias_kind":"pith_short_12","alias_value":"BFRGGHUFUUHP","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BFRGGHUFUUHPNWC3","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BFRGGHUF","created_at":"2026-05-18T12:26:05.355336+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/BFRGGHUFUUHPNWC3SM4HFT272L","json":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L.json","graph_json":"https://pith.science/api/pith-number/BFRGGHUFUUHPNWC3SM4HFT272L/graph.json","events_json":"https://pith.science/api/pith-number/BFRGGHUFUUHPNWC3SM4HFT272L/events.json","paper":"https://pith.science/paper/BFRGGHUF"},"agent_actions":{"view_html":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L","download_json":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L.json","view_paper":"https://pith.science/paper/BFRGGHUF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.4095&json=true","fetch_graph":"https://pith.science/api/pith-number/BFRGGHUFUUHPNWC3SM4HFT272L/graph.json","fetch_events":"https://pith.science/api/pith-number/BFRGGHUFUUHPNWC3SM4HFT272L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L/action/storage_attestation","attest_author":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L/action/author_attestation","sign_citation":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L/action/citation_signature","submit_replication":"https://pith.science/pith/BFRGGHUFUUHPNWC3SM4HFT272L/action/replication_record"}},"created_at":"2026-05-18T04:19:23.177757+00:00","updated_at":"2026-05-18T04:19:23.177757+00:00"}