{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:L44P7GBSLDOCCWWGKYV3XKOZC6","short_pith_number":"pith:L44P7GBS","schema_version":"1.0","canonical_sha256":"5f38ff983258dc215ac6562bbba9d91794bf14edc2ddf8a4c642151c3f47cc46","source":{"kind":"arxiv","id":"1808.07434","version":1},"attestation_state":"computed","paper":{"title":"Hall effect in 2D systems with hopping transport and strong disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A.V. Shumilin, N.P. Stepina","submitted_at":"2018-08-22T16:48:14Z","abstract_excerpt":"We reconsider the theory of Hall effect in the systems with hopping conduction. The purpose of the present study is to compare the percolation approach based on the optimal triad model with numerical simulations and recent experimental results. We show that, in the nearest neighbor hopping regime, the results of the percolation theory agree to the simulation. However, in the variable range hopping (VRH) regime, the optimal triad model fails to describe the numerical results. It is related to the extremely small probability to find the optimal triad of sites in the percolation cluster in the VR"},"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":"1808.07434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2018-08-22T16:48:14Z","cross_cats_sorted":[],"title_canon_sha256":"a1b48587eecb30c049fe3afd81e581e982d901aede04ac1d16947c8c88adea19","abstract_canon_sha256":"8f843af7b0c6211757fddc71f938738eab8fb83b587fbef6642b5a618ba3dd97"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:54.995637Z","signature_b64":"wgTf+6U8K55FCniPFV5HjwEjkPfY4WvDdI6Q5Ft1cenegaRVjv2xVtsalD4nOv4fhcbznjiUiJWLEmmIyeH9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f38ff983258dc215ac6562bbba9d91794bf14edc2ddf8a4c642151c3f47cc46","last_reissued_at":"2026-05-18T00:04:54.994956Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:54.994956Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hall effect in 2D systems with hopping transport and strong disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A.V. Shumilin, N.P. Stepina","submitted_at":"2018-08-22T16:48:14Z","abstract_excerpt":"We reconsider the theory of Hall effect in the systems with hopping conduction. The purpose of the present study is to compare the percolation approach based on the optimal triad model with numerical simulations and recent experimental results. We show that, in the nearest neighbor hopping regime, the results of the percolation theory agree to the simulation. However, in the variable range hopping (VRH) regime, the optimal triad model fails to describe the numerical results. It is related to the extremely small probability to find the optimal triad of sites in the percolation cluster in the VR"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07434","kind":"arxiv","version":1},"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":"1808.07434","created_at":"2026-05-18T00:04:54.995075+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.07434v1","created_at":"2026-05-18T00:04:54.995075+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07434","created_at":"2026-05-18T00:04:54.995075+00:00"},{"alias_kind":"pith_short_12","alias_value":"L44P7GBSLDOC","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"L44P7GBSLDOCCWWG","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"L44P7GBS","created_at":"2026-05-18T12:32:33.847187+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/L44P7GBSLDOCCWWGKYV3XKOZC6","json":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6.json","graph_json":"https://pith.science/api/pith-number/L44P7GBSLDOCCWWGKYV3XKOZC6/graph.json","events_json":"https://pith.science/api/pith-number/L44P7GBSLDOCCWWGKYV3XKOZC6/events.json","paper":"https://pith.science/paper/L44P7GBS"},"agent_actions":{"view_html":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6","download_json":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6.json","view_paper":"https://pith.science/paper/L44P7GBS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.07434&json=true","fetch_graph":"https://pith.science/api/pith-number/L44P7GBSLDOCCWWGKYV3XKOZC6/graph.json","fetch_events":"https://pith.science/api/pith-number/L44P7GBSLDOCCWWGKYV3XKOZC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6/action/storage_attestation","attest_author":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6/action/author_attestation","sign_citation":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6/action/citation_signature","submit_replication":"https://pith.science/pith/L44P7GBSLDOCCWWGKYV3XKOZC6/action/replication_record"}},"created_at":"2026-05-18T00:04:54.995075+00:00","updated_at":"2026-05-18T00:04:54.995075+00:00"}