{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:QZ4EW3QWUMUJKUZI6SKVLMUBYW","short_pith_number":"pith:QZ4EW3QW","schema_version":"1.0","canonical_sha256":"86784b6e16a328955328f49555b281c590135c9d2dbf51044dc7f6babeb20238","source":{"kind":"arxiv","id":"1012.0443","version":1},"attestation_state":"computed","paper":{"title":"Estimating the Hubbard repulsion sufficient for the onset of nearly-flat-band ferromagnetism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Janusz Jedrzejewski, Lukasz Andrzejewski","submitted_at":"2010-12-02T14:57:45Z","abstract_excerpt":"We consider nearly-flat-band Hubbard models of a ferromagnet, that is the models that are weak perturbations of those flat-band Hubbard models whose ground state is ferromagnetic for any nonzero strength $U$ of the Hubbard repulsion. In contrast to the flat-band case, in the nearly-flat-band case the ground state, being paramagnetic for $U$ in a vicinity of zero, turns into a ferromagnetic one only if $U$ exceeds some nonzero threshold value $U_{th}$. We address the question whether $U_{th}$ of the considered models is in a physical range, therefore we attempt at obtaining possibly good estima"},"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":"1012.0443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-12-02T14:57:45Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"0cdf12dc5651c0800a6f2177926d7739e3bc8519a976f7d0161e596eb483c588","abstract_canon_sha256":"bdc71ca12ce8be25d365f587437fe836519f4f71c97e5ee68c8d879023294b15"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:16.792648Z","signature_b64":"qJGptO0aEeoVblnoodN5EnvoScypQB9BjXPkXCIYb8lquKOwDgQLGlpakj7JWvMQEwnpKXBzTaXXzNj5NpKnAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86784b6e16a328955328f49555b281c590135c9d2dbf51044dc7f6babeb20238","last_reissued_at":"2026-05-18T02:23:16.792156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:16.792156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimating the Hubbard repulsion sufficient for the onset of nearly-flat-band ferromagnetism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Janusz Jedrzejewski, Lukasz Andrzejewski","submitted_at":"2010-12-02T14:57:45Z","abstract_excerpt":"We consider nearly-flat-band Hubbard models of a ferromagnet, that is the models that are weak perturbations of those flat-band Hubbard models whose ground state is ferromagnetic for any nonzero strength $U$ of the Hubbard repulsion. In contrast to the flat-band case, in the nearly-flat-band case the ground state, being paramagnetic for $U$ in a vicinity of zero, turns into a ferromagnetic one only if $U$ exceeds some nonzero threshold value $U_{th}$. We address the question whether $U_{th}$ of the considered models is in a physical range, therefore we attempt at obtaining possibly good estima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0443","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":"1012.0443","created_at":"2026-05-18T02:23:16.792234+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.0443v1","created_at":"2026-05-18T02:23:16.792234+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0443","created_at":"2026-05-18T02:23:16.792234+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZ4EW3QWUMUJ","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZ4EW3QWUMUJKUZI","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZ4EW3QW","created_at":"2026-05-18T12:26:13.927090+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/QZ4EW3QWUMUJKUZI6SKVLMUBYW","json":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW.json","graph_json":"https://pith.science/api/pith-number/QZ4EW3QWUMUJKUZI6SKVLMUBYW/graph.json","events_json":"https://pith.science/api/pith-number/QZ4EW3QWUMUJKUZI6SKVLMUBYW/events.json","paper":"https://pith.science/paper/QZ4EW3QW"},"agent_actions":{"view_html":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW","download_json":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW.json","view_paper":"https://pith.science/paper/QZ4EW3QW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.0443&json=true","fetch_graph":"https://pith.science/api/pith-number/QZ4EW3QWUMUJKUZI6SKVLMUBYW/graph.json","fetch_events":"https://pith.science/api/pith-number/QZ4EW3QWUMUJKUZI6SKVLMUBYW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW/action/storage_attestation","attest_author":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW/action/author_attestation","sign_citation":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW/action/citation_signature","submit_replication":"https://pith.science/pith/QZ4EW3QWUMUJKUZI6SKVLMUBYW/action/replication_record"}},"created_at":"2026-05-18T02:23:16.792234+00:00","updated_at":"2026-05-18T02:23:16.792234+00:00"}