{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RFH65CHSR6LWOGONWG6QW5BYGE","short_pith_number":"pith:RFH65CHS","canonical_record":{"source":{"id":"1604.00692","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-04-03T21:37:12Z","cross_cats_sorted":[],"title_canon_sha256":"a643dff77ad3014caa973d17f373d6a1fab8a8248c4643267645ba72a69ac128","abstract_canon_sha256":"3b79c3b77f90e51d7f488250a594ade7fad61ffe7d87170b1300cda97684cf92"},"schema_version":"1.0"},"canonical_sha256":"894fee88f28f976719cdb1bd0b74383105e992e29d520134daf05646d79e90f0","source":{"kind":"arxiv","id":"1604.00692","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00692","created_at":"2026-05-18T01:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00692v1","created_at":"2026-05-18T01:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00692","created_at":"2026-05-18T01:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"RFH65CHSR6LW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RFH65CHSR6LWOGON","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RFH65CHS","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RFH65CHSR6LWOGONWG6QW5BYGE","target":"record","payload":{"canonical_record":{"source":{"id":"1604.00692","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-04-03T21:37:12Z","cross_cats_sorted":[],"title_canon_sha256":"a643dff77ad3014caa973d17f373d6a1fab8a8248c4643267645ba72a69ac128","abstract_canon_sha256":"3b79c3b77f90e51d7f488250a594ade7fad61ffe7d87170b1300cda97684cf92"},"schema_version":"1.0"},"canonical_sha256":"894fee88f28f976719cdb1bd0b74383105e992e29d520134daf05646d79e90f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:48.610796Z","signature_b64":"E3oe2kvIfYzZXSj0OvNIAcazJ4keyHz/msch15eIxZfVW3mYUS7dskQ3aa42sLfJ5+l5UOrZ8np4e/XtRvPpDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"894fee88f28f976719cdb1bd0b74383105e992e29d520134daf05646d79e90f0","last_reissued_at":"2026-05-18T01:17:48.610078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:48.610078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.00692","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":"2026-05-18T01:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"41KdZPeJuLmTM7E6U3/t8y6Yl1D4BFxs3BNIKMb1QxgFLAHHzssNM3ZpeRRJ3f//Fe+oioRL1jNEQmSULrItDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:07:09.116253Z"},"content_sha256":"0ec8941dae958c87c1045923c262884833a82a2a1a35e0be0182374b562eae9b","schema_version":"1.0","event_id":"sha256:0ec8941dae958c87c1045923c262884833a82a2a1a35e0be0182374b562eae9b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RFH65CHSR6LWOGONWG6QW5BYGE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lloyd-model generalization: Conductance fluctuations in one-dimensional disordered systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"A. J. Martinez-Mendoza, I. Varga, J. A. Mendez-Bermudez, V. A. Gopar","submitted_at":"2016-04-03T21:37:12Z","abstract_excerpt":"We perform a detailed numerical study of the conductance $G$ through one-dimensional (1D) tight-binding wires with on-site disorder. The random configurations of the on-site energies $\\epsilon$ of the tight-binding Hamiltonian are characterized by long-tailed distributions: For large $\\epsilon$, $P(\\epsilon)\\sim 1/\\epsilon^{1+\\alpha}$ with $\\alpha\\in(0,2)$. Our model serves as a generalization of 1D Lloyd's model, which corresponds to $\\alpha=1$. First, we verify that the ensemble average $\\left\\langle -\\ln G\\right\\rangle$ is proportional to the length of the wire $L$ for all values of $\\alpha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00692","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":"2026-05-18T01:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Qv89UltwOQEqzG2h7LknzOJgHBJMD1Le8L6dT2gR7uGwFJNpWwIxyw483WcgjX9mymTE3HeCMmvjZlGgaz5DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:07:09.117001Z"},"content_sha256":"7f43bc8ab60a0b8d609957fd23630a0af41958fad2218a29649139d8c3d9d2af","schema_version":"1.0","event_id":"sha256:7f43bc8ab60a0b8d609957fd23630a0af41958fad2218a29649139d8c3d9d2af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RFH65CHSR6LWOGONWG6QW5BYGE/bundle.json","state_url":"https://pith.science/pith/RFH65CHSR6LWOGONWG6QW5BYGE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RFH65CHSR6LWOGONWG6QW5BYGE/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":"2026-06-08T19:07:09Z","links":{"resolver":"https://pith.science/pith/RFH65CHSR6LWOGONWG6QW5BYGE","bundle":"https://pith.science/pith/RFH65CHSR6LWOGONWG6QW5BYGE/bundle.json","state":"https://pith.science/pith/RFH65CHSR6LWOGONWG6QW5BYGE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RFH65CHSR6LWOGONWG6QW5BYGE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RFH65CHSR6LWOGONWG6QW5BYGE","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":"3b79c3b77f90e51d7f488250a594ade7fad61ffe7d87170b1300cda97684cf92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-04-03T21:37:12Z","title_canon_sha256":"a643dff77ad3014caa973d17f373d6a1fab8a8248c4643267645ba72a69ac128"},"schema_version":"1.0","source":{"id":"1604.00692","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.00692","created_at":"2026-05-18T01:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"1604.00692v1","created_at":"2026-05-18T01:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.00692","created_at":"2026-05-18T01:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"RFH65CHSR6LW","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RFH65CHSR6LWOGON","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RFH65CHS","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:7f43bc8ab60a0b8d609957fd23630a0af41958fad2218a29649139d8c3d9d2af","target":"graph","created_at":"2026-05-18T01:17:48Z","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 perform a detailed numerical study of the conductance $G$ through one-dimensional (1D) tight-binding wires with on-site disorder. The random configurations of the on-site energies $\\epsilon$ of the tight-binding Hamiltonian are characterized by long-tailed distributions: For large $\\epsilon$, $P(\\epsilon)\\sim 1/\\epsilon^{1+\\alpha}$ with $\\alpha\\in(0,2)$. Our model serves as a generalization of 1D Lloyd's model, which corresponds to $\\alpha=1$. First, we verify that the ensemble average $\\left\\langle -\\ln G\\right\\rangle$ is proportional to the length of the wire $L$ for all values of $\\alpha","authors_text":"A. J. Martinez-Mendoza, I. Varga, J. A. Mendez-Bermudez, V. A. Gopar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-04-03T21:37:12Z","title":"A Lloyd-model generalization: Conductance fluctuations in one-dimensional disordered systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.00692","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":"sha256:0ec8941dae958c87c1045923c262884833a82a2a1a35e0be0182374b562eae9b","target":"record","created_at":"2026-05-18T01:17:48Z","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":"3b79c3b77f90e51d7f488250a594ade7fad61ffe7d87170b1300cda97684cf92","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-04-03T21:37:12Z","title_canon_sha256":"a643dff77ad3014caa973d17f373d6a1fab8a8248c4643267645ba72a69ac128"},"schema_version":"1.0","source":{"id":"1604.00692","kind":"arxiv","version":1}},"canonical_sha256":"894fee88f28f976719cdb1bd0b74383105e992e29d520134daf05646d79e90f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"894fee88f28f976719cdb1bd0b74383105e992e29d520134daf05646d79e90f0","first_computed_at":"2026-05-18T01:17:48.610078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:48.610078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E3oe2kvIfYzZXSj0OvNIAcazJ4keyHz/msch15eIxZfVW3mYUS7dskQ3aa42sLfJ5+l5UOrZ8np4e/XtRvPpDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:48.610796Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.00692","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ec8941dae958c87c1045923c262884833a82a2a1a35e0be0182374b562eae9b","sha256:7f43bc8ab60a0b8d609957fd23630a0af41958fad2218a29649139d8c3d9d2af"],"state_sha256":"f626c43d0d53b67d65e3933a75fc8b0d2c138b1a2f9fcd7b327bcb7398e286aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NCdkOrBQxOYSobDltSS5N9EIbWlwRRjL3CQO+in0feFX8PeKi1Lm9a6gOjIspMtjfDdg5bqlghNPGOPTJWdgCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:07:09.120819Z","bundle_sha256":"8ca19ec2ab0181d1ab012c454f235146a23c7dc52e0ce3cdace86775e1b6259a"}}