{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:7E67AREA7TDJHTNOUMW373SU2D","short_pith_number":"pith:7E67AREA","schema_version":"1.0","canonical_sha256":"f93df04480fcc693cdaea32dbfee54d0c1018569a7b6148bd1af130f3bd9e005","source":{"kind":"arxiv","id":"1206.1472","version":2},"attestation_state":"computed","paper":{"title":"Central Limit Theorems for Open Quantum Random Walks and Quantum Measurement Records","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christophe Sabot (ICJ), Nadine Guillotin-Plantard (ICJ), Stephane Attal (ICJ)","submitted_at":"2012-06-07T12:23:13Z","abstract_excerpt":"Open Quantum Random Walks, as developed in \\cite{APSS}, are a quantum generalization of Markov chains on finite graphs or on lattices. These random walks are typically quantum in their behavior, step by step, but they seem to show up a rather classical asymptotic behavior, as opposed to the quantum random walks usually considered in Quantum Information Theory (such as the well-known Hadamard random walk). Typically, in the case of Open Quantum Random Walks on lattices, their distribution seems to always converge to a Gaussian distribution or a mixture of Gaussian distributions. In the case of "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1206.1472","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-06-07T12:23:13Z","cross_cats_sorted":[],"title_canon_sha256":"2c3bcfddadc016a80b1220a2f36b6e53fbbab7d4fb20f8caf5e12518327936ab","abstract_canon_sha256":"329a119357223bc14d65e00ba2b532761445d193ffe9cdc69ee8a3ab8ad523bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:15.631722Z","signature_b64":"tQ1P+UTtuuwh3lZsSqBZepyQtJlK5y54FjDWbMgWAQMmnQSHfRhzml6U8WSZpeMH9Oh5/SWB3dS4G6uWABsRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f93df04480fcc693cdaea32dbfee54d0c1018569a7b6148bd1af130f3bd9e005","last_reissued_at":"2026-05-18T03:04:15.631249Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:15.631249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Central Limit Theorems for Open Quantum Random Walks and Quantum Measurement Records","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Christophe Sabot (ICJ), Nadine Guillotin-Plantard (ICJ), Stephane Attal (ICJ)","submitted_at":"2012-06-07T12:23:13Z","abstract_excerpt":"Open Quantum Random Walks, as developed in \\cite{APSS}, are a quantum generalization of Markov chains on finite graphs or on lattices. These random walks are typically quantum in their behavior, step by step, but they seem to show up a rather classical asymptotic behavior, as opposed to the quantum random walks usually considered in Quantum Information Theory (such as the well-known Hadamard random walk). Typically, in the case of Open Quantum Random Walks on lattices, their distribution seems to always converge to a Gaussian distribution or a mixture of Gaussian distributions. In the case of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.1472","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1206.1472","created_at":"2026-05-18T03:04:15.631320+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.1472v2","created_at":"2026-05-18T03:04:15.631320+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.1472","created_at":"2026-05-18T03:04:15.631320+00:00"},{"alias_kind":"pith_short_12","alias_value":"7E67AREA7TDJ","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_16","alias_value":"7E67AREA7TDJHTNO","created_at":"2026-05-18T12:26:56.085431+00:00"},{"alias_kind":"pith_short_8","alias_value":"7E67AREA","created_at":"2026-05-18T12:26:56.085431+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D","json":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D.json","graph_json":"https://pith.science/api/pith-number/7E67AREA7TDJHTNOUMW373SU2D/graph.json","events_json":"https://pith.science/api/pith-number/7E67AREA7TDJHTNOUMW373SU2D/events.json","paper":"https://pith.science/paper/7E67AREA"},"agent_actions":{"view_html":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D","download_json":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D.json","view_paper":"https://pith.science/paper/7E67AREA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.1472&json=true","fetch_graph":"https://pith.science/api/pith-number/7E67AREA7TDJHTNOUMW373SU2D/graph.json","fetch_events":"https://pith.science/api/pith-number/7E67AREA7TDJHTNOUMW373SU2D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D/action/storage_attestation","attest_author":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D/action/author_attestation","sign_citation":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D/action/citation_signature","submit_replication":"https://pith.science/pith/7E67AREA7TDJHTNOUMW373SU2D/action/replication_record"}},"created_at":"2026-05-18T03:04:15.631320+00:00","updated_at":"2026-05-18T03:04:15.631320+00:00"}