{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WJUQLQVU3AV643LCCZL2XLIRIP","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":"b210c7e495495529cf1c8c1a5e864dddef4ce78fd09957575fc8b1813bb8c736","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-11T13:52:29Z","title_canon_sha256":"501f3433d14106ed1dfe403b7bcbac1e720620a929af2f2565a57df91c29726b"},"schema_version":"1.0","source":{"id":"1309.2827","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2827","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2827v2","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2827","created_at":"2026-05-18T01:47:43Z"},{"alias_kind":"pith_short_12","alias_value":"WJUQLQVU3AV6","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WJUQLQVU3AV643LC","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WJUQLQVU","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:7e024665f829c27ce257bd2c539d3b4eb7da35217e3c8c3100ef0714ae557812","target":"graph","created_at":"2026-05-18T01:47:43Z","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 transport properties of continuous-time quantum walks (CTQW) over finite two-dimensional structures with a given number of randomly placed bonds and with different aspect ratios (AR). Here, we focus on the transport from, say, the left side to the right side of the structure where absorbing sites are placed. We do so by analyzing the long-time average of the survival probability of CTQW. We compare the results to the classical continuous-time random walk case (CTRW). For small AR (landscape configurations) we observe only small differences between the quantum and the classical tra","authors_text":"Alexander Blumen, Anastasiia Anishchenko, Oliver Muelken","cross_cats":["cond-mat.stat-mech","cs.IT","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-11T13:52:29Z","title":"Geometrical aspects of quantum walks on random two-dimensional structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2827","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":"sha256:1dace00135e7ca31934f17094cd7d44b033dd0e932450e211f1a62734a9ee08e","target":"record","created_at":"2026-05-18T01:47:43Z","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":"b210c7e495495529cf1c8c1a5e864dddef4ce78fd09957575fc8b1813bb8c736","cross_cats_sorted":["cond-mat.stat-mech","cs.IT","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-09-11T13:52:29Z","title_canon_sha256":"501f3433d14106ed1dfe403b7bcbac1e720620a929af2f2565a57df91c29726b"},"schema_version":"1.0","source":{"id":"1309.2827","kind":"arxiv","version":2}},"canonical_sha256":"b26905c2b4d82bee6d621657abad1143e2b252d74f80aa648cfabcc9a8b8973b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b26905c2b4d82bee6d621657abad1143e2b252d74f80aa648cfabcc9a8b8973b","first_computed_at":"2026-05-18T01:47:43.243055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:47:43.243055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tSW0K4Ru8M1svXS04uu80cm3qixeaetinDpwo/SHUPkHFmc1U+DpD3RdZbG8XRM1W6boaSFRlT/i+tZTgcXjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:47:43.243476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2827","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dace00135e7ca31934f17094cd7d44b033dd0e932450e211f1a62734a9ee08e","sha256:7e024665f829c27ce257bd2c539d3b4eb7da35217e3c8c3100ef0714ae557812"],"state_sha256":"d942cde0ce296130b71835f100aacb601c90791d068d3971e43937d530249d0f"}