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As a result, averaging over the hyperfine magnetic fields, b_h, that are generated in these sites by the environment nuclei is incomplete. This creates a random (mesoscopic) current component, {\\Delta}I(B), at field B having relative magnitude ~ N^(-1/2). To quantify the statistical properties of {\\Delta}I(B) we calculate the correlator K(B, {\\Delta}B)= <{\\delta}I(B - {\\Delta}B/2){\\delta}I(B + {\\Delta}B/2)> for parallel and perpendicular "},"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":"1210.3443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2012-10-12T07:25:05Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"22567bc90e119ec7c1f03c800b321c72abeebbe69acf180462e2f10d72b186c9","abstract_canon_sha256":"45b0e74a728477f47667e292ec5d4fc7b32d5e408d5034b32617d698d4d7775d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:56.383877Z","signature_b64":"pUMIai+wJkLzZKxIOBnQvVaZ2dtU31v7nEDBnshzsco2dgcUdfHVvp27SQdyvQFohImZiqrkWrguQF1oYgKfBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66d647482ea1ed9d60c1a30e837d910931d53b23dbbfaa8d36d6efcf3a873d85","last_reissued_at":"2026-05-18T01:53:56.383334Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:56.383334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Organic magnetoresistance near saturation: mesoscopic effects in small devices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.mes-hall","authors_text":"M. 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To quantify the statistical properties of {\\Delta}I(B) we calculate the correlator K(B, {\\Delta}B)= <{\\delta}I(B - {\\Delta}B/2){\\delta}I(B + {\\Delta}B/2)> for parallel and perpendicular "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.3443","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":"1210.3443","created_at":"2026-05-18T01:53:56.383413+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.3443v2","created_at":"2026-05-18T01:53:56.383413+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.3443","created_at":"2026-05-18T01:53:56.383413+00:00"},{"alias_kind":"pith_short_12","alias_value":"M3LEOSBOUHWZ","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"M3LEOSBOUHWZ2YGB","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"M3LEOSBO","created_at":"2026-05-18T12:27:14.488303+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/M3LEOSBOUHWZ2YGBUMHIG7MRBE","json":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE.json","graph_json":"https://pith.science/api/pith-number/M3LEOSBOUHWZ2YGBUMHIG7MRBE/graph.json","events_json":"https://pith.science/api/pith-number/M3LEOSBOUHWZ2YGBUMHIG7MRBE/events.json","paper":"https://pith.science/paper/M3LEOSBO"},"agent_actions":{"view_html":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE","download_json":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE.json","view_paper":"https://pith.science/paper/M3LEOSBO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.3443&json=true","fetch_graph":"https://pith.science/api/pith-number/M3LEOSBOUHWZ2YGBUMHIG7MRBE/graph.json","fetch_events":"https://pith.science/api/pith-number/M3LEOSBOUHWZ2YGBUMHIG7MRBE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE/action/storage_attestation","attest_author":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE/action/author_attestation","sign_citation":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE/action/citation_signature","submit_replication":"https://pith.science/pith/M3LEOSBOUHWZ2YGBUMHIG7MRBE/action/replication_record"}},"created_at":"2026-05-18T01:53:56.383413+00:00","updated_at":"2026-05-18T01:53:56.383413+00:00"}