{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SIRSMP67PKZ2ZEV7CWKSIZ6AKL","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":"caf24190a3597c47d36eed12b27892b620c7e351414fae42c0eeb3c7a219a76c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-04-08T03:23:53Z","title_canon_sha256":"628de7b831cbf2c69774292a5f52ad455c5518f41f84dc482b6657d95d9efa10"},"schema_version":"1.0","source":{"id":"1104.1473","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.1473","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"arxiv_version","alias_value":"1104.1473v2","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1473","created_at":"2026-05-18T03:31:07Z"},{"alias_kind":"pith_short_12","alias_value":"SIRSMP67PKZ2","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SIRSMP67PKZ2ZEV7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SIRSMP67","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:793630f78fd2750732d3d4fbf89ae93ae3daf06ad11e9630798648a4345c4bfe","target":"graph","created_at":"2026-05-18T03:31:07Z","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 develop a theoretical approach to study the scaling of anomalous Hall effect (AHE) in the insulating regime, which is observed to be $\\sigma_{xy}^{AH}\\propto\\sigma_{xx}^{1.40\\sim1.75}$ in experiments over a large range of materials. This scaling is qualitatively different from the ones observed in metals. Basing our theory on the phonon-assisted hopping mechanism and percolation theory, we derive a general formula for the anomalous Hall conductivity, and show that it scales with the longitudinal conductivity as $\\sigma_{xy}^{AH}\\sim\\sigma_{xx}^{\\gamma}$ with $\\gamma$ predicted to be $1.38\\l","authors_text":"Jairo Sinova, Xin Liu, Xiong-jun Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-04-08T03:23:53Z","title":"The Scaling of the Anomalous Hall Effect in the Insulating Regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1473","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:d8bf42333031429cabe3617f5b7fc70f2af2ecbaa23826089d59ab625746ba63","target":"record","created_at":"2026-05-18T03:31:07Z","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":"caf24190a3597c47d36eed12b27892b620c7e351414fae42c0eeb3c7a219a76c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-04-08T03:23:53Z","title_canon_sha256":"628de7b831cbf2c69774292a5f52ad455c5518f41f84dc482b6657d95d9efa10"},"schema_version":"1.0","source":{"id":"1104.1473","kind":"arxiv","version":2}},"canonical_sha256":"9223263fdf7ab3ac92bf15952467c052daa24c75442ebd1f0e268d727497eb56","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9223263fdf7ab3ac92bf15952467c052daa24c75442ebd1f0e268d727497eb56","first_computed_at":"2026-05-18T03:31:07.107738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:07.107738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+k/LMV7IIHSt5RhmHvwTh+oBRCMCtlXAyi02OCfPJQi4X675jPymF9swCspjR9/P/uKoSkynYK9rzuJ3TBsACQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:07.108298Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.1473","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8bf42333031429cabe3617f5b7fc70f2af2ecbaa23826089d59ab625746ba63","sha256:793630f78fd2750732d3d4fbf89ae93ae3daf06ad11e9630798648a4345c4bfe"],"state_sha256":"982cb77d743df1d7ff4426bdc95938ed5ecbbe419a454764d8a33467bc509e16"}