{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AWFIEUSWYBX6FPNC37D6Y6OHOW","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":"0cc608c6bf90ce0ca6c0d3398fa93a291452124e1f76ea7c97d3b0dcf24bef9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-26T07:32:41Z","title_canon_sha256":"80ed5fd9c2f27f6663b26786b7febc2cd372579fab3d15a9fe9b373cfc95b62f"},"schema_version":"1.0","source":{"id":"1109.5463","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.5463","created_at":"2026-05-18T03:50:48Z"},{"alias_kind":"arxiv_version","alias_value":"1109.5463v2","created_at":"2026-05-18T03:50:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.5463","created_at":"2026-05-18T03:50:48Z"},{"alias_kind":"pith_short_12","alias_value":"AWFIEUSWYBX6","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AWFIEUSWYBX6FPNC","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AWFIEUSW","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:33b7372bbd5bb2e1c5905c9d0d05e6afae6f60d7d4f40b8b16695e1a03740c52","target":"graph","created_at":"2026-05-18T03:50:48Z","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":"The anomalous Hall effect in a multiband tight-binding model is numerically studied taking into account both elastic scattering by disorder and inelastic scattering by the electron-phonon interaction. The Hall conductivity is obtained as a function of temperature $T$, inelastic scattering rate $\\gamma$, chemical potential $\\mu$, and impurity concentration $x_{\\rm imp}$. We find that the new scaling law holds over a wide range of these parameters; $-\\sigma_{xy}= (\\alpha \\sigma_{xx0}^{-1} + \\beta \\sigma_{xx0}^{-2}) \\sigma_{xx}^2 + b$, with $\\sigma_{\\mu \\nu}$ ($\\sigma_{\\mu \\nu 0}$) being the cond","authors_text":"Atsuo Shitade, Naoto Nagaosa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-26T07:32:41Z","title":"Anomalous Hall Effect in Ferromagnetic Metals: Role of Phonons at Finite Temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.5463","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":"sha256:85e213fb64ab5324c473fb35516a78992142dfd1eb3947fb6f0ba5fd6d36c59d","target":"record","created_at":"2026-05-18T03:50:48Z","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":"0cc608c6bf90ce0ca6c0d3398fa93a291452124e1f76ea7c97d3b0dcf24bef9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2011-09-26T07:32:41Z","title_canon_sha256":"80ed5fd9c2f27f6663b26786b7febc2cd372579fab3d15a9fe9b373cfc95b62f"},"schema_version":"1.0","source":{"id":"1109.5463","kind":"arxiv","version":2}},"canonical_sha256":"058a825256c06fe2bda2dfc7ec79c775b988863f114fb78381780fe9e6749649","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"058a825256c06fe2bda2dfc7ec79c775b988863f114fb78381780fe9e6749649","first_computed_at":"2026-05-18T03:50:48.692707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:48.692707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x69uCDFDHihBK5OR+N8j9H8qpSeFkgSYVSOFxoGcWjMcuh3l88sgzSE6dxieYxjf7ZWRDsCSDBGwEK/5FkJ9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:48.693329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.5463","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:85e213fb64ab5324c473fb35516a78992142dfd1eb3947fb6f0ba5fd6d36c59d","sha256:33b7372bbd5bb2e1c5905c9d0d05e6afae6f60d7d4f40b8b16695e1a03740c52"],"state_sha256":"b64558192b9c3e2d3e83c61be2631499ac69c24ede0801d2fba0fb517da77399"}