{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KOWWLK53744TCFOJRAQLEFSJ3B","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":"90d96e5f75af0c61024b63bdadb9dc00d20072d112884dd5c2befed80434ec51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-04-08T14:20:38Z","title_canon_sha256":"9ba9c025693d0b4446a1befb70c88acb7b0bb390de551fc1282791cd96d00b7a"},"schema_version":"1.0","source":{"id":"1404.2146","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.2146","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"arxiv_version","alias_value":"1404.2146v2","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.2146","created_at":"2026-05-18T02:29:01Z"},{"alias_kind":"pith_short_12","alias_value":"KOWWLK53744T","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KOWWLK53744TCFOJ","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KOWWLK53","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:0cc5f1d080c8de88196b1fff6ed81dac7db28507198877dd1119e5437554f4e9","target":"graph","created_at":"2026-05-18T02:29:01Z","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":"Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations. Averaging leads to a graphical representation of the correlation function with entangled random walks and 4-vertices. In the strong scattering limit we derive a complex transition amplitude. For the example of two-dimensional Dirac fermions we obtain a localization length proportional to the inverse scattering rate.","authors_text":"K. Ziegler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-04-08T14:20:38Z","title":"Quantum transport with strong scattering: Beyond the nonlinear sigma model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.2146","kind":"arxiv","version":2},"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:b5bbd48d71f32bceaf83455c1bbb58287c4c83104f20dd1c58d84ece1e573a50","target":"record","created_at":"2026-05-18T02:29:01Z","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":"90d96e5f75af0c61024b63bdadb9dc00d20072d112884dd5c2befed80434ec51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2014-04-08T14:20:38Z","title_canon_sha256":"9ba9c025693d0b4446a1befb70c88acb7b0bb390de551fc1282791cd96d00b7a"},"schema_version":"1.0","source":{"id":"1404.2146","kind":"arxiv","version":2}},"canonical_sha256":"53ad65abbbff393115c98820b21649d8504ca5d2adac850bb07cb86550b6bf0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53ad65abbbff393115c98820b21649d8504ca5d2adac850bb07cb86550b6bf0d","first_computed_at":"2026-05-18T02:29:01.577585Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:01.577585Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fWoMUZy0bNLFHXMSQpEPcSDlfVneJIvyaigfKHzYZ4Z+YOftaJGYIz2ivSKqmFZ02lEpSWf6abLFJE4P+LdbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:01.578114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.2146","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5bbd48d71f32bceaf83455c1bbb58287c4c83104f20dd1c58d84ece1e573a50","sha256:0cc5f1d080c8de88196b1fff6ed81dac7db28507198877dd1119e5437554f4e9"],"state_sha256":"187efbf160ec070cbc32f2feee44721e6b63dfb3d60cb73607f0e59765032f8d"}