{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:72ODLPEZZLMS65CM7NFODDNQ34","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":"271aee89994e5b66647c382e076ced38f4417630d1a32712b6acd0321544b27a","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-03T19:46:36Z","title_canon_sha256":"33d0b9c8f2cd89b9e354a4d4979846396cf650dc776bba34229a9888839dbb0f"},"schema_version":"1.0","source":{"id":"1402.0483","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0483","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0483v4","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0483","created_at":"2026-05-18T01:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"72ODLPEZZLMS","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"72ODLPEZZLMS65CM","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"72ODLPEZ","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:86479b82547eeaad8adecd79195b3d72ac756f7d54a5fbe6b694e76058a4d8a5","target":"graph","created_at":"2026-05-18T01:38:54Z","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 a particular class of trace-preserving completely positive maps, called PQ-channels, for which classical and quantum evolutions are isolated in a certain sense. By combining open quantum random walks with a notion of recurrence, we are able to describe criteria for recurrence of the walk related to this class of channels. Positive recurrence for open walks is also discussed in this context.","authors_text":"Carlos F. Lardizabal, Rafael R. Souza","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-03T19:46:36Z","title":"On a class of quantum channels, open random walks and recurrence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0483","kind":"arxiv","version":4},"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:a4fa39308065d559af3d425f50528041df7f38231c3240fbcd54a56c9536d0a7","target":"record","created_at":"2026-05-18T01:38:54Z","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":"271aee89994e5b66647c382e076ced38f4417630d1a32712b6acd0321544b27a","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-02-03T19:46:36Z","title_canon_sha256":"33d0b9c8f2cd89b9e354a4d4979846396cf650dc776bba34229a9888839dbb0f"},"schema_version":"1.0","source":{"id":"1402.0483","kind":"arxiv","version":4}},"canonical_sha256":"fe9c35bc99cad92f744cfb4ae18db0df0ca8b6349ae88ee45e296b61dc49a66b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe9c35bc99cad92f744cfb4ae18db0df0ca8b6349ae88ee45e296b61dc49a66b","first_computed_at":"2026-05-18T01:38:54.401050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:54.401050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"93j9LF4Nc42OhZiu2e4ugfgjwn4KuQueEOPNIhzbLolDA0FNUjTol5dSPb3DDBo1ItiaugwFnZYQynyX1f7qAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:54.401789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0483","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4fa39308065d559af3d425f50528041df7f38231c3240fbcd54a56c9536d0a7","sha256:86479b82547eeaad8adecd79195b3d72ac756f7d54a5fbe6b694e76058a4d8a5"],"state_sha256":"065d2be2e89553bb65a161d0ef2cb10b23d14637c88d29ff6da513baea51ea5e"}