{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:6F6UYL6ZNHS3QAYCAGGLJPCGMH","short_pith_number":"pith:6F6UYL6Z","schema_version":"1.0","canonical_sha256":"f17d4c2fd969e5b80302018cb4bc4661eff4d7ac68f7139672cf35726f1b92d2","source":{"kind":"arxiv","id":"1111.6014","version":2},"attestation_state":"computed","paper":{"title":"Decoherence-induced conductivity in the discrete 1D Anderson model: A novel approach to even-order generalized Lyapunov exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Dietrich E. Wolf, Marko Woelki, Mat\\'ias Zilly, Orsolya Ujs\\'aghy","submitted_at":"2011-11-25T15:05:23Z","abstract_excerpt":"A recently proposed statistical model for the effects of decoherence on electron transport manifests a decoherence-driven transition from quantum-coherent localized to ohmic behavior when applied to the one-dimensional Anderson model. Here we derive the resistivity in the ohmic case and show that the transition to localized behavior occurs when the coherence length surpasses a value which only depends on the second-order generalized Lyapunov exponent $\\xi^{-1}$. We determine the exact value of $\\xi^{-1}$ of an infinite system for arbitrary uncorrelated disorder and electron energy. Likewise al"},"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":"1111.6014","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2011-11-25T15:05:23Z","cross_cats_sorted":[],"title_canon_sha256":"fd359848d33ca66f694ae626f45ecdceeab6bb2d93620c4b72a9cbeae1dbc2ea","abstract_canon_sha256":"17d58e5e66459d59529a1e1267198dbd79d38079696e24089b0313c5348e4b0c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:03.738426Z","signature_b64":"AkgtH+6vmTDVlMX/rq11FFv1na3qoC96+S+0WSJwP0raZXcs0XqoR9FuMKHWdBXKgQaFk0Lgcv4VnrKov7ylAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f17d4c2fd969e5b80302018cb4bc4661eff4d7ac68f7139672cf35726f1b92d2","last_reissued_at":"2026-05-18T04:02:03.737725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:03.737725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Decoherence-induced conductivity in the discrete 1D Anderson model: A novel approach to even-order generalized Lyapunov exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Dietrich E. Wolf, Marko Woelki, Mat\\'ias Zilly, Orsolya Ujs\\'aghy","submitted_at":"2011-11-25T15:05:23Z","abstract_excerpt":"A recently proposed statistical model for the effects of decoherence on electron transport manifests a decoherence-driven transition from quantum-coherent localized to ohmic behavior when applied to the one-dimensional Anderson model. Here we derive the resistivity in the ohmic case and show that the transition to localized behavior occurs when the coherence length surpasses a value which only depends on the second-order generalized Lyapunov exponent $\\xi^{-1}$. We determine the exact value of $\\xi^{-1}$ of an infinite system for arbitrary uncorrelated disorder and electron energy. Likewise al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6014","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":"1111.6014","created_at":"2026-05-18T04:02:03.737824+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.6014v2","created_at":"2026-05-18T04:02:03.737824+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6014","created_at":"2026-05-18T04:02:03.737824+00:00"},{"alias_kind":"pith_short_12","alias_value":"6F6UYL6ZNHS3","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"6F6UYL6ZNHS3QAYC","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"6F6UYL6Z","created_at":"2026-05-18T12:26:22.705136+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/6F6UYL6ZNHS3QAYCAGGLJPCGMH","json":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH.json","graph_json":"https://pith.science/api/pith-number/6F6UYL6ZNHS3QAYCAGGLJPCGMH/graph.json","events_json":"https://pith.science/api/pith-number/6F6UYL6ZNHS3QAYCAGGLJPCGMH/events.json","paper":"https://pith.science/paper/6F6UYL6Z"},"agent_actions":{"view_html":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH","download_json":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH.json","view_paper":"https://pith.science/paper/6F6UYL6Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.6014&json=true","fetch_graph":"https://pith.science/api/pith-number/6F6UYL6ZNHS3QAYCAGGLJPCGMH/graph.json","fetch_events":"https://pith.science/api/pith-number/6F6UYL6ZNHS3QAYCAGGLJPCGMH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH/action/storage_attestation","attest_author":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH/action/author_attestation","sign_citation":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH/action/citation_signature","submit_replication":"https://pith.science/pith/6F6UYL6ZNHS3QAYCAGGLJPCGMH/action/replication_record"}},"created_at":"2026-05-18T04:02:03.737824+00:00","updated_at":"2026-05-18T04:02:03.737824+00:00"}