{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FNLMRCUQFMWZX66KGUHIQ2PXSG","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":"1a54839fd732d0de1935d75e2ffacb7dbed14274cad7dfd913ef30c960f50c0e","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-06-25T07:49:55Z","title_canon_sha256":"3b448b377aec208a2f1076410ad94412ebf6feffd319c071533c2e296359dfe4"},"schema_version":"1.0","source":{"id":"1206.5598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5598","created_at":"2026-05-18T02:39:54Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5598v1","created_at":"2026-05-18T02:39:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5598","created_at":"2026-05-18T02:39:54Z"},{"alias_kind":"pith_short_12","alias_value":"FNLMRCUQFMWZ","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FNLMRCUQFMWZX66K","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FNLMRCUQ","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:fdf154dc0647fbf495f25044581ab9ef6afbaccb5d28ccb931925b7c7b51c362","target":"graph","created_at":"2026-05-18T02:39:54Z","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":"It is known that the anomalous Hall conductivity (AHC) in a disordered two dimensional electron system with Rashba spin-orbit interaction and finite ferromagnetic spin-exchange energy is zero in the metallic weak-scattering regime because of the exact cancellation of the bare-bubble contribution by the vertex correction. We study the effect of inhomogeneous longitudinal electric field on the AHC in such a system. We predict that AHC increases from zero (at zero wavenumber), forms a peak, and then decreases as the wavenumber for the variation of electric field increases. The peak-value of AHC i","authors_text":"Ankur Sensharma, Sudhansu S. Mandal","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-06-25T07:49:55Z","title":"Inhomogeneous longitudinal electric field-induced anomalous Hall conductivity in a ferromagnetic two-dimensional electron gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5598","kind":"arxiv","version":1},"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":"sha256:9aa0dbb1f3ee8b504f7e203af231711c58a0435b6eb6a42bc15479a1b2e735ec","target":"record","created_at":"2026-05-18T02:39:54Z","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":"1a54839fd732d0de1935d75e2ffacb7dbed14274cad7dfd913ef30c960f50c0e","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-06-25T07:49:55Z","title_canon_sha256":"3b448b377aec208a2f1076410ad94412ebf6feffd319c071533c2e296359dfe4"},"schema_version":"1.0","source":{"id":"1206.5598","kind":"arxiv","version":1}},"canonical_sha256":"2b56c88a902b2d9bfbca350e8869f79196dbb554347bcf16e06d2b373909ac70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b56c88a902b2d9bfbca350e8869f79196dbb554347bcf16e06d2b373909ac70","first_computed_at":"2026-05-18T02:39:54.406173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:54.406173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SEn9elh4/BnkDiuQ60bWygCKAUOGzwVj9g+ZJ4AyZ9j/YL2VU2w2463+/7IQWx4sZ4sNE1SsJDmLdbiKS2HvCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:54.406602Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9aa0dbb1f3ee8b504f7e203af231711c58a0435b6eb6a42bc15479a1b2e735ec","sha256:fdf154dc0647fbf495f25044581ab9ef6afbaccb5d28ccb931925b7c7b51c362"],"state_sha256":"3ccd9c9297c9897aad5ea894c15af20456b86bd93b8b0a52048973047d6e8ee1"}