{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:CAOBFI52TVWI4E4DZIUUVIJBIV","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":"9ced3cc4c81454fad2faacd8c531a179ed6b0aec49b2e1cffbbb2bedd92804cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:40:37Z","title_canon_sha256":"e6c4f6555311201453a2d4729f34513cd49043f823c79877d8867c7011b71137"},"schema_version":"1.0","source":{"id":"0912.3169","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3169","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3169v1","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3169","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"CAOBFI52TVWI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"CAOBFI52TVWI4E4D","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"CAOBFI52","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:71d341ee23344b115b3c44b0d436ea1ad57b03ecdcab2c9d9c2924e360773cff","target":"graph","created_at":"2026-05-18T04:05:04Z","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":"In the previous paper [Nenashev et al., arXiv:0912.3161] an analytical theory confirmed by numerical simulations has been developed for the field-dependent hopping diffusion coefficient D(F) in one-dimensional systems with Gaussian disorder. The main result of that paper is the linear, non-analytic field dependence of the diffusion coefficient at low electric fields. In the current paper, an analytical theory is developed for the field-dependent diffusion coefficient in three- and two-dimensional Gaussian disordered systems in the hopping transport regime. The theory predicts a smooth paraboli","authors_text":"A. V. Dvurechenskii, A. V. Nenashev, F. Gebhard, F. Jansson, R. \\\"Osterbacka, S. D. Baranovskii","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:40:37Z","title":"Effect of Electric Field on Diffusion in Disordered Materials II. Two- and Three-dimensional Hopping Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3169","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":"sha256:74c687d40fbb883b3b03189bc94c4eaf67359dd5e257515c4ebc18ec35fc6c7b","target":"record","created_at":"2026-05-18T04:05:04Z","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":"9ced3cc4c81454fad2faacd8c531a179ed6b0aec49b2e1cffbbb2bedd92804cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:40:37Z","title_canon_sha256":"e6c4f6555311201453a2d4729f34513cd49043f823c79877d8867c7011b71137"},"schema_version":"1.0","source":{"id":"0912.3169","kind":"arxiv","version":1}},"canonical_sha256":"101c12a3ba9d6c8e1383ca294aa12145659a335fad72efc778f6506ac4be02e7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"101c12a3ba9d6c8e1383ca294aa12145659a335fad72efc778f6506ac4be02e7","first_computed_at":"2026-05-18T04:05:04.333695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:04.333695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r6UGqa9V4d5X7gee0Qys/GySc7PLJ1EKdWs8yjCBxzW7CU/rcOVkWzrpg9ROmAn+5INWi91uwU2kbVCKwaqxCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:04.334483Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.3169","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:74c687d40fbb883b3b03189bc94c4eaf67359dd5e257515c4ebc18ec35fc6c7b","sha256:71d341ee23344b115b3c44b0d436ea1ad57b03ecdcab2c9d9c2924e360773cff"],"state_sha256":"251ca01d3e643dee023dc3fd6be40faabc3a00d02525e5bd4076dabfeca5a995"}