{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:VOACJSO6MJKEKKWVVRQWZVWPHG","short_pith_number":"pith:VOACJSO6","schema_version":"1.0","canonical_sha256":"ab8024c9de6254452ad5ac616cd6cf399269691abb824b277816392aeacea43a","source":{"kind":"arxiv","id":"0908.4411","version":2},"attestation_state":"computed","paper":{"title":"A consistent statistical treatment of the renormalized mean-field t-J model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Jakub J\\c{e}drak, Jozef Spa{\\l}ek","submitted_at":"2009-08-31T14:29:23Z","abstract_excerpt":"A variational treatment of the Gutzwiller - renormalized t-J Hamiltonian combined with the mean-field (MF) approximation is proposed, with a simultaneous inclusion of additional consistency conditions. Those conditions guarantee that the averages calculated variationally represent true mean-field expectation values. This is not ensured a priori when the effective Hamiltonian contains renormalization factors which depend on the mean-field averages. A comparison with previous mean-field treatments is made for both superconducting (d-RVB) and normal states and encompasses calculations of both the"},"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":"0908.4411","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-08-31T14:29:23Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"dae9a0d5bd482ae04bab91c880cb7ae15cce9c75398eb10b98883590e747e193","abstract_canon_sha256":"ca0a693978ec4964bbc7122e04fa3cc0e68d33d311ba0591a590ded5460bc487"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:12.922634Z","signature_b64":"gx6N6uYYZ0GLOjhRV5H60GYHKH8lPJw701qgllKKACr+Qy16rNoIV/0joJJyTRrSOelsgImSewA3h1lXBnyODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab8024c9de6254452ad5ac616cd6cf399269691abb824b277816392aeacea43a","last_reissued_at":"2026-05-18T02:12:12.921755Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:12.921755Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A consistent statistical treatment of the renormalized mean-field t-J model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Jakub J\\c{e}drak, Jozef Spa{\\l}ek","submitted_at":"2009-08-31T14:29:23Z","abstract_excerpt":"A variational treatment of the Gutzwiller - renormalized t-J Hamiltonian combined with the mean-field (MF) approximation is proposed, with a simultaneous inclusion of additional consistency conditions. Those conditions guarantee that the averages calculated variationally represent true mean-field expectation values. This is not ensured a priori when the effective Hamiltonian contains renormalization factors which depend on the mean-field averages. A comparison with previous mean-field treatments is made for both superconducting (d-RVB) and normal states and encompasses calculations of both the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.4411","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":"0908.4411","created_at":"2026-05-18T02:12:12.921890+00:00"},{"alias_kind":"arxiv_version","alias_value":"0908.4411v2","created_at":"2026-05-18T02:12:12.921890+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.4411","created_at":"2026-05-18T02:12:12.921890+00:00"},{"alias_kind":"pith_short_12","alias_value":"VOACJSO6MJKE","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_16","alias_value":"VOACJSO6MJKEKKWV","created_at":"2026-05-18T12:26:02.257875+00:00"},{"alias_kind":"pith_short_8","alias_value":"VOACJSO6","created_at":"2026-05-18T12:26:02.257875+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/VOACJSO6MJKEKKWVVRQWZVWPHG","json":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG.json","graph_json":"https://pith.science/api/pith-number/VOACJSO6MJKEKKWVVRQWZVWPHG/graph.json","events_json":"https://pith.science/api/pith-number/VOACJSO6MJKEKKWVVRQWZVWPHG/events.json","paper":"https://pith.science/paper/VOACJSO6"},"agent_actions":{"view_html":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG","download_json":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG.json","view_paper":"https://pith.science/paper/VOACJSO6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0908.4411&json=true","fetch_graph":"https://pith.science/api/pith-number/VOACJSO6MJKEKKWVVRQWZVWPHG/graph.json","fetch_events":"https://pith.science/api/pith-number/VOACJSO6MJKEKKWVVRQWZVWPHG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG/action/storage_attestation","attest_author":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG/action/author_attestation","sign_citation":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG/action/citation_signature","submit_replication":"https://pith.science/pith/VOACJSO6MJKEKKWVVRQWZVWPHG/action/replication_record"}},"created_at":"2026-05-18T02:12:12.921890+00:00","updated_at":"2026-05-18T02:12:12.921890+00:00"}