{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IZE5TWWAFBUB7O7S55X4TD5XDC","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"be6425c78b4f6392aba1590eb16035309cbfa4bb1ceb3127a861075055cf2e27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-12-29T19:38:18Z","title_canon_sha256":"a2afcc9e71861cd5fdfc47cf4c1a5df8aef1d28f4b432abb4732e16a39c58643"},"schema_version":"1.0","source":{"id":"1112.6393","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.6393","created_at":"2026-05-18T01:58:59Z"},{"alias_kind":"arxiv_version","alias_value":"1112.6393v2","created_at":"2026-05-18T01:58:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6393","created_at":"2026-05-18T01:58:59Z"},{"alias_kind":"pith_short_12","alias_value":"IZE5TWWAFBUB","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IZE5TWWAFBUB7O7S","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IZE5TWWA","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:e1c36212b105c8fda2f98cfb9ea112ea2e0f2d50405acd071034cd361e7b5789","target":"graph","created_at":"2026-05-18T01:58:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider the Anomalous Hall (AH) state induced by interactions in a three-orbital per unit-cell model. To be specific we consider a model appropriate for the Copper-Oxide lattice to highlight the necessary conditions for time-reversal breaking states which are AH states and which are not. We compare the singularities of the wave-functions of the three-orbital model, which are related to the nonzero Berry curvature, and their variation with a change of gauge to those in the two-orbital model introduced in a seminal paper by Haldane. Explicit derivation using wave-functions rather than the mo","authors_text":"C. M. Varma, Joel Moore, Yan He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-12-29T19:38:18Z","title":"Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6393","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2d7c361836e60bd520899f5af8fda8d343b155077181b11f810db9da44cb661d","target":"record","created_at":"2026-05-18T01:58:59Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"be6425c78b4f6392aba1590eb16035309cbfa4bb1ceb3127a861075055cf2e27","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-12-29T19:38:18Z","title_canon_sha256":"a2afcc9e71861cd5fdfc47cf4c1a5df8aef1d28f4b432abb4732e16a39c58643"},"schema_version":"1.0","source":{"id":"1112.6393","kind":"arxiv","version":2}},"canonical_sha256":"4649d9dac028681fbbf2ef6fc98fb718a4582c408045f17230030f32f5d7fb3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4649d9dac028681fbbf2ef6fc98fb718a4582c408045f17230030f32f5d7fb3a","first_computed_at":"2026-05-18T01:58:59.713595Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:59.713595Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TmtQaXr/6Ty0uWEpTAkAnWdgGuBkER4P4qaq/IC58Pal80UP5G8gX/zHn43pyvjbFFAA6jzLn3gD8GbuFvUgBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:59.714194Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.6393","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d7c361836e60bd520899f5af8fda8d343b155077181b11f810db9da44cb661d","sha256:e1c36212b105c8fda2f98cfb9ea112ea2e0f2d50405acd071034cd361e7b5789"],"state_sha256":"d9910168601e4224b430fe4cecd5a5583fe0aa7a2bdb5b66d7ed922dec79ef66"}