{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SIRSMP67PKZ2ZEV7CWKSIZ6AKL","short_pith_number":"pith:SIRSMP67","schema_version":"1.0","canonical_sha256":"9223263fdf7ab3ac92bf15952467c052daa24c75442ebd1f0e268d727497eb56","source":{"kind":"arxiv","id":"1104.1473","version":2},"attestation_state":"computed","paper":{"title":"The Scaling of the Anomalous Hall Effect in the Insulating Regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jairo Sinova, Xin Liu, Xiong-jun Liu","submitted_at":"2011-04-08T03:23:53Z","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"},"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":"1104.1473","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-04-08T03:23:53Z","cross_cats_sorted":[],"title_canon_sha256":"628de7b831cbf2c69774292a5f52ad455c5518f41f84dc482b6657d95d9efa10","abstract_canon_sha256":"caf24190a3597c47d36eed12b27892b620c7e351414fae42c0eeb3c7a219a76c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:07.108298Z","signature_b64":"+k/LMV7IIHSt5RhmHvwTh+oBRCMCtlXAyi02OCfPJQi4X675jPymF9swCspjR9/P/uKoSkynYK9rzuJ3TBsACQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9223263fdf7ab3ac92bf15952467c052daa24c75442ebd1f0e268d727497eb56","last_reissued_at":"2026-05-18T03:31:07.107738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:07.107738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Scaling of the Anomalous Hall Effect in the Insulating Regime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Jairo Sinova, Xin Liu, Xiong-jun Liu","submitted_at":"2011-04-08T03:23:53Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.1473","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":"1104.1473","created_at":"2026-05-18T03:31:07.107827+00:00"},{"alias_kind":"arxiv_version","alias_value":"1104.1473v2","created_at":"2026-05-18T03:31:07.107827+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.1473","created_at":"2026-05-18T03:31:07.107827+00:00"},{"alias_kind":"pith_short_12","alias_value":"SIRSMP67PKZ2","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SIRSMP67PKZ2ZEV7","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SIRSMP67","created_at":"2026-05-18T12:26:41.206345+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/SIRSMP67PKZ2ZEV7CWKSIZ6AKL","json":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL.json","graph_json":"https://pith.science/api/pith-number/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/graph.json","events_json":"https://pith.science/api/pith-number/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/events.json","paper":"https://pith.science/paper/SIRSMP67"},"agent_actions":{"view_html":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL","download_json":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL.json","view_paper":"https://pith.science/paper/SIRSMP67","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1104.1473&json=true","fetch_graph":"https://pith.science/api/pith-number/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/graph.json","fetch_events":"https://pith.science/api/pith-number/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/action/storage_attestation","attest_author":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/action/author_attestation","sign_citation":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/action/citation_signature","submit_replication":"https://pith.science/pith/SIRSMP67PKZ2ZEV7CWKSIZ6AKL/action/replication_record"}},"created_at":"2026-05-18T03:31:07.107827+00:00","updated_at":"2026-05-18T03:31:07.107827+00:00"}