{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:VFNVPE66XPTZGQQROCQTWNFZF7","short_pith_number":"pith:VFNVPE66","schema_version":"1.0","canonical_sha256":"a95b5793debbe793421170a13b34b92ff79113a1f7bbdeb602956fff94f9617c","source":{"kind":"arxiv","id":"1201.0722","version":2},"attestation_state":"computed","paper":{"title":"Nematic ferromagnetism on the Lieb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ke-Ji Chen, Wei Zhang","submitted_at":"2012-01-03T18:58:01Z","abstract_excerpt":"We discuss the properties of possible ferromagnetic orders on the Lieb lattice. We show that the presence of a quadratic-flat band crossing point (QFBCP) at half filling will dramatically affect the magnetic ordering. In the presence of a weak on-site repulsive interaction, we find the ground state is a nematic ferromagnetic order with simultaneously broken of time-reversal and rotational symmetries. When the interaction strength increases, the rotational symmetry will restore at some critical value, and the system enters a conventional ferromagnetic regime. We also point out that the spin gap"},"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":"1201.0722","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2012-01-03T18:58:01Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"7a5f21b434c1dcee828cb88f9f89d5bda1647890024d63dfb45905d92b0f573a","abstract_canon_sha256":"1465b74bcb7d0e25c52e2b09e48d514f23d66d93fb9e423938d61f03702d3ffa"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:09.279852Z","signature_b64":"NlWKi4ztMjS2egnQ21fpxbhQaBuFM0qTw1E80iwNXM1MPgDpjzQPnN9Ip1P5v0A3e3bt9ZneTO+ZbK5zGwkLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a95b5793debbe793421170a13b34b92ff79113a1f7bbdeb602956fff94f9617c","last_reissued_at":"2026-05-18T02:41:09.279402Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:09.279402Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Nematic ferromagnetism on the Lieb lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"cond-mat.quant-gas","authors_text":"Ke-Ji Chen, Wei Zhang","submitted_at":"2012-01-03T18:58:01Z","abstract_excerpt":"We discuss the properties of possible ferromagnetic orders on the Lieb lattice. We show that the presence of a quadratic-flat band crossing point (QFBCP) at half filling will dramatically affect the magnetic ordering. In the presence of a weak on-site repulsive interaction, we find the ground state is a nematic ferromagnetic order with simultaneously broken of time-reversal and rotational symmetries. When the interaction strength increases, the rotational symmetry will restore at some critical value, and the system enters a conventional ferromagnetic regime. We also point out that the spin gap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0722","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":"1201.0722","created_at":"2026-05-18T02:41:09.279464+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.0722v2","created_at":"2026-05-18T02:41:09.279464+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0722","created_at":"2026-05-18T02:41:09.279464+00:00"},{"alias_kind":"pith_short_12","alias_value":"VFNVPE66XPTZ","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_16","alias_value":"VFNVPE66XPTZGQQR","created_at":"2026-05-18T12:27:25.539911+00:00"},{"alias_kind":"pith_short_8","alias_value":"VFNVPE66","created_at":"2026-05-18T12:27:25.539911+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/VFNVPE66XPTZGQQROCQTWNFZF7","json":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7.json","graph_json":"https://pith.science/api/pith-number/VFNVPE66XPTZGQQROCQTWNFZF7/graph.json","events_json":"https://pith.science/api/pith-number/VFNVPE66XPTZGQQROCQTWNFZF7/events.json","paper":"https://pith.science/paper/VFNVPE66"},"agent_actions":{"view_html":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7","download_json":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7.json","view_paper":"https://pith.science/paper/VFNVPE66","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.0722&json=true","fetch_graph":"https://pith.science/api/pith-number/VFNVPE66XPTZGQQROCQTWNFZF7/graph.json","fetch_events":"https://pith.science/api/pith-number/VFNVPE66XPTZGQQROCQTWNFZF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7/action/storage_attestation","attest_author":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7/action/author_attestation","sign_citation":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7/action/citation_signature","submit_replication":"https://pith.science/pith/VFNVPE66XPTZGQQROCQTWNFZF7/action/replication_record"}},"created_at":"2026-05-18T02:41:09.279464+00:00","updated_at":"2026-05-18T02:41:09.279464+00:00"}