{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZEIC6VWX5AC5ONSFVZ2E6NLWK3","short_pith_number":"pith:ZEIC6VWX","canonical_record":{"source":{"id":"1003.3691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-18T23:50:09Z","cross_cats_sorted":[],"title_canon_sha256":"c08985091a632282f78c75d54378761149da5f1127a0141274b8f22ac305a4f9","abstract_canon_sha256":"6dd221fc8da521ccb67d423b212c9252c2d830c6fd98ea4a44aee2d698a17c4f"},"schema_version":"1.0"},"canonical_sha256":"c9102f56d7e805d73645ae744f357656fd8ec6e09895f323481185cc4d8c25d4","source":{"kind":"arxiv","id":"1003.3691","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3691","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3691v1","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3691","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZEIC6VWX5AC5","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZEIC6VWX5AC5ONSF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZEIC6VWX","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZEIC6VWX5AC5ONSFVZ2E6NLWK3","target":"record","payload":{"canonical_record":{"source":{"id":"1003.3691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-18T23:50:09Z","cross_cats_sorted":[],"title_canon_sha256":"c08985091a632282f78c75d54378761149da5f1127a0141274b8f22ac305a4f9","abstract_canon_sha256":"6dd221fc8da521ccb67d423b212c9252c2d830c6fd98ea4a44aee2d698a17c4f"},"schema_version":"1.0"},"canonical_sha256":"c9102f56d7e805d73645ae744f357656fd8ec6e09895f323481185cc4d8c25d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:25.699039Z","signature_b64":"X8fqa9yHG3VhRj8QEvKG8Gs9Sy6NgDcEpu0IX52/YLsTdpvlEZkDp9V+8vdaEr9iKn7Wa4oCNVPV1jALxi+7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c9102f56d7e805d73645ae744f357656fd8ec6e09895f323481185cc4d8c25d4","last_reissued_at":"2026-05-18T02:08:25.698577Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:25.698577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.3691","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":"2026-05-18T02:08:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hs1Xpnql8kq4F97OmgWAjFEvY9wXs2fmvFg3vP+dFA6P2VY5PaFA4qnRwzpcJ919Dp4AkezAVt/Qb7OjAlVBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:26:02.091343Z"},"content_sha256":"28a520a4125df0fa1b59be39776204dbf96ec65b908feb562bd512dd777ccab2","schema_version":"1.0","event_id":"sha256:28a520a4125df0fa1b59be39776204dbf96ec65b908feb562bd512dd777ccab2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZEIC6VWX5AC5ONSFVZ2E6NLWK3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"F. M. Izrailev, J. C. Hernandez-Herrejon, L. Tessieri","submitted_at":"2010-03-18T23:50:09Z","abstract_excerpt":"We study the structure of the electronic states and the transport properties of a Kronig-Penney model with weak compositional and structural disorder. Using a perturbative approach we obtain an analytical expression for the localisation length which is valid for disorder with arbitrary correlations. We show how to generate disorder with self- and cross-correlations and we analyse both the known delocalisation effects of the long-range self-correlations and new effects produced by cross-correlations. We finally discuss how both kinds of correlations alter the transport properties in Kronig-Penn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3691","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":"2026-05-18T02:08:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/ee1nYzMbcdZyN6UxHavBHEht+XFSQr/RzddDA3woiCqwmPHwJ3e6a3GjXUXW38Zgg1BkaYOR1zGSnY5l9h7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:26:02.092041Z"},"content_sha256":"8e0d19aabb9c7ce0973b7cb9f9f93bcbf216778a783fec8c156c7b0e8c1f62bf","schema_version":"1.0","event_id":"sha256:8e0d19aabb9c7ce0973b7cb9f9f93bcbf216778a783fec8c156c7b0e8c1f62bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3/bundle.json","state_url":"https://pith.science/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3/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":"2026-05-31T12:26:02Z","links":{"resolver":"https://pith.science/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3","bundle":"https://pith.science/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3/bundle.json","state":"https://pith.science/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZEIC6VWX5AC5ONSFVZ2E6NLWK3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZEIC6VWX5AC5ONSFVZ2E6NLWK3","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":"6dd221fc8da521ccb67d423b212c9252c2d830c6fd98ea4a44aee2d698a17c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-18T23:50:09Z","title_canon_sha256":"c08985091a632282f78c75d54378761149da5f1127a0141274b8f22ac305a4f9"},"schema_version":"1.0","source":{"id":"1003.3691","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.3691","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"arxiv_version","alias_value":"1003.3691v1","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3691","created_at":"2026-05-18T02:08:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZEIC6VWX5AC5","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"ZEIC6VWX5AC5ONSF","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"ZEIC6VWX","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:8e0d19aabb9c7ce0973b7cb9f9f93bcbf216778a783fec8c156c7b0e8c1f62bf","target":"graph","created_at":"2026-05-18T02:08:25Z","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":"We study the structure of the electronic states and the transport properties of a Kronig-Penney model with weak compositional and structural disorder. Using a perturbative approach we obtain an analytical expression for the localisation length which is valid for disorder with arbitrary correlations. We show how to generate disorder with self- and cross-correlations and we analyse both the known delocalisation effects of the long-range self-correlations and new effects produced by cross-correlations. We finally discuss how both kinds of correlations alter the transport properties in Kronig-Penn","authors_text":"F. M. Izrailev, J. C. Hernandez-Herrejon, L. Tessieri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-18T23:50:09Z","title":"Electronic states and transport properties in the Kronig-Penney model with correlated compositional and structural disorder"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3691","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":"sha256:28a520a4125df0fa1b59be39776204dbf96ec65b908feb562bd512dd777ccab2","target":"record","created_at":"2026-05-18T02:08:25Z","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":"6dd221fc8da521ccb67d423b212c9252c2d830c6fd98ea4a44aee2d698a17c4f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2010-03-18T23:50:09Z","title_canon_sha256":"c08985091a632282f78c75d54378761149da5f1127a0141274b8f22ac305a4f9"},"schema_version":"1.0","source":{"id":"1003.3691","kind":"arxiv","version":1}},"canonical_sha256":"c9102f56d7e805d73645ae744f357656fd8ec6e09895f323481185cc4d8c25d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c9102f56d7e805d73645ae744f357656fd8ec6e09895f323481185cc4d8c25d4","first_computed_at":"2026-05-18T02:08:25.698577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:25.698577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"X8fqa9yHG3VhRj8QEvKG8Gs9Sy6NgDcEpu0IX52/YLsTdpvlEZkDp9V+8vdaEr9iKn7Wa4oCNVPV1jALxi+7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:25.699039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.3691","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28a520a4125df0fa1b59be39776204dbf96ec65b908feb562bd512dd777ccab2","sha256:8e0d19aabb9c7ce0973b7cb9f9f93bcbf216778a783fec8c156c7b0e8c1f62bf"],"state_sha256":"7a8d40d8be9f11bd0ddeafb3ed110f22849693014303f590105be7197b70dea3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DfKGg2pQH8sMcB5eudSm9gtOKJsqurQEZIFgDkaHacsDiYCQ4Q1tDJWNFB29ErjTk/zDbsDwOM5QYA7y/VYFBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:26:02.095682Z","bundle_sha256":"a59bde43e658be92af6d2de584333faec69620119d9a589409f687579f170e48"}}