{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1992:3J5Z3URN57ITSEK633B4RFIYNE","short_pith_number":"pith:3J5Z3URN","schema_version":"1.0","canonical_sha256":"da7b9dd22defd139115edec3c8951869042c3d710df0e459202f76fb6cbfb6d5","source":{"kind":"arxiv","id":"cond-mat/9210011","version":1},"attestation_state":"computed","paper":{"title":"Generalized spin density wave state of the Hubbard model on the C12 and C60 clusters","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"E. Dagotto, J. P. Blaizot, L. Bergomi, Th. Jolicoeur","submitted_at":"1992-10-14T16:32:00Z","abstract_excerpt":"The one-band Hubbard model at half-filling on a truncated tetrahedron (C$_{12}$), and on the C$_{60}$ molecule is studied. Within the Hartree-Fock approximation, we find a magnetic-like instability of the `Fermi sea' towards a spin-ordered phase for an intermediate value of the coupling ${\\rm (U/t)_c}\\approx 2.6$. The ordered phase presents a spin arrangement similar to that of the classical Heisenberg model defined on the same clusters. We study the linear excitations around the Hartree-Fock ground states using the random-phase approximation. On a finite cluster, we expect that these results "},"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":"cond-mat/9210011","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1992-10-14T16:32:00Z","cross_cats_sorted":[],"title_canon_sha256":"4479337c439c67a8bd513acea26eeaacc67433efd370cd1b5ceb72ffd2c521b4","abstract_canon_sha256":"e823bac7a3849bfe7260aaf8f3f3e324450091e0c8bf2f328aab157e22f0b991"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:40:19.308632Z","signature_b64":"YwLKTs/zIvfUIKh3889bvDUZcyWulJNrR599GfGHEaXV/E4WSvPAhndFQOnYRo+6RsXHF1fCeGPWlhBadDC0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da7b9dd22defd139115edec3c8951869042c3d710df0e459202f76fb6cbfb6d5","last_reissued_at":"2026-05-18T02:40:19.308022Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:40:19.308022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized spin density wave state of the Hubbard model on the C12 and C60 clusters","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"E. Dagotto, J. P. Blaizot, L. Bergomi, Th. Jolicoeur","submitted_at":"1992-10-14T16:32:00Z","abstract_excerpt":"The one-band Hubbard model at half-filling on a truncated tetrahedron (C$_{12}$), and on the C$_{60}$ molecule is studied. Within the Hartree-Fock approximation, we find a magnetic-like instability of the `Fermi sea' towards a spin-ordered phase for an intermediate value of the coupling ${\\rm (U/t)_c}\\approx 2.6$. The ordered phase presents a spin arrangement similar to that of the classical Heisenberg model defined on the same clusters. We study the linear excitations around the Hartree-Fock ground states using the random-phase approximation. On a finite cluster, we expect that these results "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9210011","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":"cond-mat/9210011","created_at":"2026-05-18T02:40:19.308106+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9210011v1","created_at":"2026-05-18T02:40:19.308106+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9210011","created_at":"2026-05-18T02:40:19.308106+00:00"},{"alias_kind":"pith_short_12","alias_value":"3J5Z3URN57IT","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"3J5Z3URN57ITSEK6","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"3J5Z3URN","created_at":"2026-05-18T12:25:47.102015+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/3J5Z3URN57ITSEK633B4RFIYNE","json":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE.json","graph_json":"https://pith.science/api/pith-number/3J5Z3URN57ITSEK633B4RFIYNE/graph.json","events_json":"https://pith.science/api/pith-number/3J5Z3URN57ITSEK633B4RFIYNE/events.json","paper":"https://pith.science/paper/3J5Z3URN"},"agent_actions":{"view_html":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE","download_json":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE.json","view_paper":"https://pith.science/paper/3J5Z3URN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9210011&json=true","fetch_graph":"https://pith.science/api/pith-number/3J5Z3URN57ITSEK633B4RFIYNE/graph.json","fetch_events":"https://pith.science/api/pith-number/3J5Z3URN57ITSEK633B4RFIYNE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE/action/storage_attestation","attest_author":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE/action/author_attestation","sign_citation":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE/action/citation_signature","submit_replication":"https://pith.science/pith/3J5Z3URN57ITSEK633B4RFIYNE/action/replication_record"}},"created_at":"2026-05-18T02:40:19.308106+00:00","updated_at":"2026-05-18T02:40:19.308106+00:00"}