{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IMMFFXQ53USBZK4X3BUH5PAPZU","short_pith_number":"pith:IMMFFXQ5","schema_version":"1.0","canonical_sha256":"431852de1ddd241cab97d8687ebc0fcd3668ad23cae0b5ce7fc98b8526f612f1","source":{"kind":"arxiv","id":"1310.4391","version":3},"attestation_state":"computed","paper":{"title":"Exact Results on Itinerant Ferromagnetism in Multi-orbital Systems on Square and Cubic Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Congjun Wu, Elliott H. Lieb, Yi Li","submitted_at":"2013-10-16T14:17:30Z","abstract_excerpt":"We study itinerant ferromagnetism in multi-orbital Hubbard models in certain two-dimensional square and three-dimensional cubic lattices. In the strong coupling limit where doubly occupied orbitals are not allowed, we prove that the fully spin-polarized states are the unique ground states, apart from the trivial spin degeneracies, for a large region of fillings factors. Possible applications to p-orbital bands with ultra-cold fermions in optical lattices, and electronic 3d-orbital bands in transition-metal oxides, are discussed."},"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":"1310.4391","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-10-16T14:17:30Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"763c1eb0bb85633baa087dfda18b2303fa393aa5fe5890416308549df7b0b8ac","abstract_canon_sha256":"99f58800d81300ca8c278fa9a362669eb83b7d8358cc3831787c39d53fe439b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:58.716150Z","signature_b64":"rwVxEkCuaZO16i8wROPBRaym5G2EYsmNcNRItoHNw0RpUXJhYTY60lI4IyLaYP1TJrhO9soeQOJTuSfLT7LCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"431852de1ddd241cab97d8687ebc0fcd3668ad23cae0b5ce7fc98b8526f612f1","last_reissued_at":"2026-05-18T02:50:58.715444Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:58.715444Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exact Results on Itinerant Ferromagnetism in Multi-orbital Systems on Square and Cubic Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.str-el","authors_text":"Congjun Wu, Elliott H. Lieb, Yi Li","submitted_at":"2013-10-16T14:17:30Z","abstract_excerpt":"We study itinerant ferromagnetism in multi-orbital Hubbard models in certain two-dimensional square and three-dimensional cubic lattices. In the strong coupling limit where doubly occupied orbitals are not allowed, we prove that the fully spin-polarized states are the unique ground states, apart from the trivial spin degeneracies, for a large region of fillings factors. Possible applications to p-orbital bands with ultra-cold fermions in optical lattices, and electronic 3d-orbital bands in transition-metal oxides, are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4391","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":"1310.4391","created_at":"2026-05-18T02:50:58.715558+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.4391v3","created_at":"2026-05-18T02:50:58.715558+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4391","created_at":"2026-05-18T02:50:58.715558+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMMFFXQ53USB","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMMFFXQ53USBZK4X","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMMFFXQ5","created_at":"2026-05-18T12:27:46.883200+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/IMMFFXQ53USBZK4X3BUH5PAPZU","json":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU.json","graph_json":"https://pith.science/api/pith-number/IMMFFXQ53USBZK4X3BUH5PAPZU/graph.json","events_json":"https://pith.science/api/pith-number/IMMFFXQ53USBZK4X3BUH5PAPZU/events.json","paper":"https://pith.science/paper/IMMFFXQ5"},"agent_actions":{"view_html":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU","download_json":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU.json","view_paper":"https://pith.science/paper/IMMFFXQ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.4391&json=true","fetch_graph":"https://pith.science/api/pith-number/IMMFFXQ53USBZK4X3BUH5PAPZU/graph.json","fetch_events":"https://pith.science/api/pith-number/IMMFFXQ53USBZK4X3BUH5PAPZU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU/action/storage_attestation","attest_author":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU/action/author_attestation","sign_citation":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU/action/citation_signature","submit_replication":"https://pith.science/pith/IMMFFXQ53USBZK4X3BUH5PAPZU/action/replication_record"}},"created_at":"2026-05-18T02:50:58.715558+00:00","updated_at":"2026-05-18T02:50:58.715558+00:00"}