{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:JGPWOUAUWTNQTEBSMWIHA4FADZ","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":"74e44c194c1fadaedabf20627e932330c1dd84fbca2f02dfebb01c984f59ac11","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-19T03:41:50Z","title_canon_sha256":"eb938a55d484f1cc0a2e74262511525e4bd50f5390e9b81d943e75cc6def4328"},"schema_version":"1.0","source":{"id":"2205.09308","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.09308","created_at":"2026-07-05T04:30:08Z"},{"alias_kind":"arxiv_version","alias_value":"2205.09308v1","created_at":"2026-07-05T04:30:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.09308","created_at":"2026-07-05T04:30:08Z"},{"alias_kind":"pith_short_12","alias_value":"JGPWOUAUWTNQ","created_at":"2026-07-05T04:30:08Z"},{"alias_kind":"pith_short_16","alias_value":"JGPWOUAUWTNQTEBS","created_at":"2026-07-05T04:30:08Z"},{"alias_kind":"pith_short_8","alias_value":"JGPWOUAU","created_at":"2026-07-05T04:30:08Z"}],"graph_snapshots":[{"event_id":"sha256:0d58aaf5cc316719868281fb420e03d3799eb0a838a8b30657c6fd992f98ebab","target":"graph","created_at":"2026-07-05T04:30:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2205.09308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study transport within a spatially heterogeneous one-dimensional quantum walk with a combination of hierarchical and random barriers. Recent renormalization group calculations for a spatially disordered quantum walk with a regular hierarchy of barriers alone have shown a gradual decrease in transport but no localization for increasing (but finite) barrier sizes. In turn, it is well-known that extensive random disorder in the spatial barriers is sufficient to localize a quantum walk on the line. Here we show that adding only a sparse (sub-extensive) amount of randomness to a hierarchy of bar","authors_text":"Richa Sharma, Stefan Boettcher (Emory U)","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-19T03:41:50Z","title":"Transport and Localization in Quantum Walks on a Random Hierarchy of Barriers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.09308","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":"sha256:650ff7b4f03dd8f41d47b3f34883a04cf7b8351877a96aa13a19c8adccd25698","target":"record","created_at":"2026-07-05T04:30:08Z","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":"74e44c194c1fadaedabf20627e932330c1dd84fbca2f02dfebb01c984f59ac11","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2022-05-19T03:41:50Z","title_canon_sha256":"eb938a55d484f1cc0a2e74262511525e4bd50f5390e9b81d943e75cc6def4328"},"schema_version":"1.0","source":{"id":"2205.09308","kind":"arxiv","version":1}},"canonical_sha256":"499f675014b4db09903265907070a01e7b9b92a15e9161612e2dfa316569a2d6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"499f675014b4db09903265907070a01e7b9b92a15e9161612e2dfa316569a2d6","first_computed_at":"2026-07-05T04:30:08.964209Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:30:08.964209Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qclUH0qycpw+UyoiC4x0O1Q4GU6Ig9eMcs0j8fzj+EQEMvIPSlqlpUbYm6Sm0h0IRrXUeRTSsb6URyiWQSXyDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:30:08.964638Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.09308","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:650ff7b4f03dd8f41d47b3f34883a04cf7b8351877a96aa13a19c8adccd25698","sha256:0d58aaf5cc316719868281fb420e03d3799eb0a838a8b30657c6fd992f98ebab"],"state_sha256":"c96298fc543c9750617c9deaac7d81a90a78e814d5d3d37242c51a5798276d3e"}