{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:237YPNRVKJSWHERBCHYPLBLJVZ","short_pith_number":"pith:237YPNRV","canonical_record":{"source":{"id":"1305.2399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-10T18:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"881e3c8429c94fe381237a9e1074b757ac6606acbe998407b29ca8bb4fa9ef48","abstract_canon_sha256":"08ad5399858891e9f417d775e23de84a6f886fab396badd00e6c102682b8cab9"},"schema_version":"1.0"},"canonical_sha256":"d6ff87b635526563922111f0f58569ae4506128a659e8632a3dfcd96fd54dddf","source":{"kind":"arxiv","id":"1305.2399","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2399","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2399v1","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2399","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"237YPNRVKJSW","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"237YPNRVKJSWHERB","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"237YPNRV","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:237YPNRVKJSWHERBCHYPLBLJVZ","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-10T18:08:14Z","cross_cats_sorted":[],"title_canon_sha256":"881e3c8429c94fe381237a9e1074b757ac6606acbe998407b29ca8bb4fa9ef48","abstract_canon_sha256":"08ad5399858891e9f417d775e23de84a6f886fab396badd00e6c102682b8cab9"},"schema_version":"1.0"},"canonical_sha256":"d6ff87b635526563922111f0f58569ae4506128a659e8632a3dfcd96fd54dddf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:00:00.952968Z","signature_b64":"/GzauWLaRpe6gnF3s/ei3gHm3eT3gBpVVxxrDqYpdaYVc/5z2ke1GNtqYZ5argqUAxiqGidBMt5/pPc6hH1dBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6ff87b635526563922111f0f58569ae4506128a659e8632a3dfcd96fd54dddf","last_reissued_at":"2026-05-18T03:00:00.952193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:00:00.952193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2399","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":"2026-05-18T03:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DDdgJAUv778GbURn8oxZm7fRatvp37mt5ftEmsK2RFnIDcO/UpUwPOwc3swuf+/S3NZagKqkndptE+i18zO7BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:22:33.375641Z"},"content_sha256":"72392e912b0c9dce034ee3bf0907878ee58de33026da39ce04dc960aec1c41b6","schema_version":"1.0","event_id":"sha256:72392e912b0c9dce034ee3bf0907878ee58de33026da39ce04dc960aec1c41b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:237YPNRVKJSWHERBCHYPLBLJVZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implementation of non-equilibrium vertex corrections in KKR: transport through disordered layers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Christian Franz, Christian Heiliger (University of Giessen, Germany), Michael Czerner","submitted_at":"2013-05-10T18:08:14Z","abstract_excerpt":"The theoretical description of modern nanoelectronic devices requires a quantum mechanical treatment and often involves disorder, e.g. form alloys. Therefore, the ab initio theory of transport using non-equilibrium Green's functions is extended to the case of disorder described by the coherent potential approximation. This requires the calculation of non-equilibrium vertex corrections. We implement the vertex corrections in a Korringa-Kohn-Rostoker multiple scattering scheme. In order to verify our implementation and to demonstrate the accuracy and applicability we investigate a system of an i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2399","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":"2026-05-18T03:00:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fuV03uKS/fXeNCGVjZD1qOYxaBD6H3XY4Am7g5YwkZDxehtuhkx+sawfzGWtO+SDIQpHPOwhan2sQVA1DVWtAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:22:33.376029Z"},"content_sha256":"2461d616b2b7933aae8aa591c786df8e4022e1324c1381bbe3a1f1b77f9b5331","schema_version":"1.0","event_id":"sha256:2461d616b2b7933aae8aa591c786df8e4022e1324c1381bbe3a1f1b77f9b5331"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/237YPNRVKJSWHERBCHYPLBLJVZ/bundle.json","state_url":"https://pith.science/pith/237YPNRVKJSWHERBCHYPLBLJVZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/237YPNRVKJSWHERBCHYPLBLJVZ/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":"2026-05-27T18:22:33Z","links":{"resolver":"https://pith.science/pith/237YPNRVKJSWHERBCHYPLBLJVZ","bundle":"https://pith.science/pith/237YPNRVKJSWHERBCHYPLBLJVZ/bundle.json","state":"https://pith.science/pith/237YPNRVKJSWHERBCHYPLBLJVZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/237YPNRVKJSWHERBCHYPLBLJVZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:237YPNRVKJSWHERBCHYPLBLJVZ","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":"08ad5399858891e9f417d775e23de84a6f886fab396badd00e6c102682b8cab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-10T18:08:14Z","title_canon_sha256":"881e3c8429c94fe381237a9e1074b757ac6606acbe998407b29ca8bb4fa9ef48"},"schema_version":"1.0","source":{"id":"1305.2399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2399","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2399v1","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2399","created_at":"2026-05-18T03:00:00Z"},{"alias_kind":"pith_short_12","alias_value":"237YPNRVKJSW","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"237YPNRVKJSWHERB","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"237YPNRV","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:2461d616b2b7933aae8aa591c786df8e4022e1324c1381bbe3a1f1b77f9b5331","target":"graph","created_at":"2026-05-18T03:00:00Z","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":"The theoretical description of modern nanoelectronic devices requires a quantum mechanical treatment and often involves disorder, e.g. form alloys. Therefore, the ab initio theory of transport using non-equilibrium Green's functions is extended to the case of disorder described by the coherent potential approximation. This requires the calculation of non-equilibrium vertex corrections. We implement the vertex corrections in a Korringa-Kohn-Rostoker multiple scattering scheme. In order to verify our implementation and to demonstrate the accuracy and applicability we investigate a system of an i","authors_text":"Christian Franz, Christian Heiliger (University of Giessen, Germany), Michael Czerner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-10T18:08:14Z","title":"Implementation of non-equilibrium vertex corrections in KKR: transport through disordered layers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2399","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":"sha256:72392e912b0c9dce034ee3bf0907878ee58de33026da39ce04dc960aec1c41b6","target":"record","created_at":"2026-05-18T03:00:00Z","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":"08ad5399858891e9f417d775e23de84a6f886fab396badd00e6c102682b8cab9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-05-10T18:08:14Z","title_canon_sha256":"881e3c8429c94fe381237a9e1074b757ac6606acbe998407b29ca8bb4fa9ef48"},"schema_version":"1.0","source":{"id":"1305.2399","kind":"arxiv","version":1}},"canonical_sha256":"d6ff87b635526563922111f0f58569ae4506128a659e8632a3dfcd96fd54dddf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6ff87b635526563922111f0f58569ae4506128a659e8632a3dfcd96fd54dddf","first_computed_at":"2026-05-18T03:00:00.952193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:00.952193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/GzauWLaRpe6gnF3s/ei3gHm3eT3gBpVVxxrDqYpdaYVc/5z2ke1GNtqYZ5argqUAxiqGidBMt5/pPc6hH1dBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:00.952968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72392e912b0c9dce034ee3bf0907878ee58de33026da39ce04dc960aec1c41b6","sha256:2461d616b2b7933aae8aa591c786df8e4022e1324c1381bbe3a1f1b77f9b5331"],"state_sha256":"5eb0f26acae2e20f429eabf2244440c7bc0c867449873141fb2310d1ae5055a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wd5jNofo8/VwK4rhesFrlqrjJtV2GbC8GRp5oSHSstnSEieYFgSVmuHGdw5/Otkd+W4Y4Dt5/mAkBY369YB0CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:22:33.378857Z","bundle_sha256":"3918a6293ad9a029d8e7c005f6b172cd7c2c836f5ea2432c22d57f17ab510daf"}}