{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:KGXUVRVI6FZP5U3TOZRPR7BL3H","short_pith_number":"pith:KGXUVRVI","canonical_record":{"source":{"id":"0912.3161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:57:49Z","cross_cats_sorted":[],"title_canon_sha256":"5d5df4d96fd7eaa0a20d9cefff9ff205cb24cf6e55fcb8771aaa576cdfc63668","abstract_canon_sha256":"bbe4b592b0b65b2fe2f2abd8ee91ed542f0a49d5fd96b9cd8e17148589695f01"},"schema_version":"1.0"},"canonical_sha256":"51af4ac6a8f172fed3737662f8fc2bd9e34869554164cdd691ff4ca6ccc691cc","source":{"kind":"arxiv","id":"0912.3161","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3161","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3161v1","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3161","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"KGXUVRVI6FZP","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KGXUVRVI6FZP5U3T","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KGXUVRVI","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:KGXUVRVI6FZP5U3TOZRPR7BL3H","target":"record","payload":{"canonical_record":{"source":{"id":"0912.3161","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:57:49Z","cross_cats_sorted":[],"title_canon_sha256":"5d5df4d96fd7eaa0a20d9cefff9ff205cb24cf6e55fcb8771aaa576cdfc63668","abstract_canon_sha256":"bbe4b592b0b65b2fe2f2abd8ee91ed542f0a49d5fd96b9cd8e17148589695f01"},"schema_version":"1.0"},"canonical_sha256":"51af4ac6a8f172fed3737662f8fc2bd9e34869554164cdd691ff4ca6ccc691cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:04.349213Z","signature_b64":"zKEb3TutaOV6Q5F+nquhpe5vqoGWFGqXXUTK1kyp4Afg/9TOydqrBplfqJzvIDbdR8vOO52omeAAjUTfmo6PBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51af4ac6a8f172fed3737662f8fc2bd9e34869554164cdd691ff4ca6ccc691cc","last_reissued_at":"2026-05-18T04:05:04.348461Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:04.348461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0912.3161","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ab/LmtUyHqMdKsq4bi8DFYP6A1vcwHjnORIeLqZG/sUSOwXSiz8+G7RqAvTmM6JBkjrb8O1hDiRx8zIFa83bCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T07:00:12.240647Z"},"content_sha256":"376acd98117e66990849481dba2990937ef76b6523bdfd1a4e370952a3c4a8b8","schema_version":"1.0","event_id":"sha256:376acd98117e66990849481dba2990937ef76b6523bdfd1a4e370952a3c4a8b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:KGXUVRVI6FZP5U3TOZRPR7BL3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of Electric Field on Diffusion in Disordered Materials I. One-dimensional Hopping Transport","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. V. Dvurechenskii, A. V. Nenashev, F. Gebhard, F. Jansson, R. \\\"Osterbacka, S. D. Baranovskii","submitted_at":"2009-12-16T15:57:49Z","abstract_excerpt":"An exact analytical theory is developed for calculating the diffusion coefficient of charge carriers in strongly anisotropic disordered solids with one-dimensional hopping transport mode for any dependence of the hopping rates on space and energy. So far such a theory existed only for calculating the carrier mobility. The dependence of the diffusion coefficient on the electric field evidences a linear, non-analytic behavior at low fields for all considered models of disorder. The mobility, on the contrary, demonstrates a parabolic, analytic field dependence for a random-barrier model, being li"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3161","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BWYN3NnKiNznWzO3FBmt5r5jtmxgyKEBiLV5s/gJQjBgd9QSYqfgPZumJEq8PZwA27rb2/kCHcI2wLsVZpjnAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T07:00:12.241146Z"},"content_sha256":"1af8f470ab534b70b2d22677b37a4b758975501cee0816d14da3bbd132951e1c","schema_version":"1.0","event_id":"sha256:1af8f470ab534b70b2d22677b37a4b758975501cee0816d14da3bbd132951e1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H/bundle.json","state_url":"https://pith.science/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T07:00:12Z","links":{"resolver":"https://pith.science/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H","bundle":"https://pith.science/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H/bundle.json","state":"https://pith.science/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KGXUVRVI6FZP5U3TOZRPR7BL3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:KGXUVRVI6FZP5U3TOZRPR7BL3H","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":"bbe4b592b0b65b2fe2f2abd8ee91ed542f0a49d5fd96b9cd8e17148589695f01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:57:49Z","title_canon_sha256":"5d5df4d96fd7eaa0a20d9cefff9ff205cb24cf6e55fcb8771aaa576cdfc63668"},"schema_version":"1.0","source":{"id":"0912.3161","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.3161","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"0912.3161v1","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.3161","created_at":"2026-05-18T04:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"KGXUVRVI6FZP","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KGXUVRVI6FZP5U3T","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KGXUVRVI","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:1af8f470ab534b70b2d22677b37a4b758975501cee0816d14da3bbd132951e1c","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":"An exact analytical theory is developed for calculating the diffusion coefficient of charge carriers in strongly anisotropic disordered solids with one-dimensional hopping transport mode for any dependence of the hopping rates on space and energy. So far such a theory existed only for calculating the carrier mobility. The dependence of the diffusion coefficient on the electric field evidences a linear, non-analytic behavior at low fields for all considered models of disorder. The mobility, on the contrary, demonstrates a parabolic, analytic field dependence for a random-barrier model, being li","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":"2009-12-16T15:57:49Z","title":"Effect of Electric Field on Diffusion in Disordered Materials I. One-dimensional Hopping Transport"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.3161","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":"sha256:376acd98117e66990849481dba2990937ef76b6523bdfd1a4e370952a3c4a8b8","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":"bbe4b592b0b65b2fe2f2abd8ee91ed542f0a49d5fd96b9cd8e17148589695f01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2009-12-16T15:57:49Z","title_canon_sha256":"5d5df4d96fd7eaa0a20d9cefff9ff205cb24cf6e55fcb8771aaa576cdfc63668"},"schema_version":"1.0","source":{"id":"0912.3161","kind":"arxiv","version":1}},"canonical_sha256":"51af4ac6a8f172fed3737662f8fc2bd9e34869554164cdd691ff4ca6ccc691cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51af4ac6a8f172fed3737662f8fc2bd9e34869554164cdd691ff4ca6ccc691cc","first_computed_at":"2026-05-18T04:05:04.348461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:04.348461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zKEb3TutaOV6Q5F+nquhpe5vqoGWFGqXXUTK1kyp4Afg/9TOydqrBplfqJzvIDbdR8vOO52omeAAjUTfmo6PBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:04.349213Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.3161","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:376acd98117e66990849481dba2990937ef76b6523bdfd1a4e370952a3c4a8b8","sha256:1af8f470ab534b70b2d22677b37a4b758975501cee0816d14da3bbd132951e1c"],"state_sha256":"b7647ceb0c015d3f74bb3812bff2c22414e800ad954eaad6c5dc3a1cc9e9931a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"51ojtbhZiFe4d8vuYB2jkLUvuWcxXgX6AA/YbWde4fSxcBUcuYyAEEkeIyErDIxgA0mrTojiE0w1uVypwjIiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T07:00:12.244219Z","bundle_sha256":"8c1680438b97bd70fe5df0e4e5488ec2ce39301ffde2d98a4aa0ef6fa141e0f1"}}