{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:LCH4MF6ERK7E6YMLKDEQGOCJAU","short_pith_number":"pith:LCH4MF6E","schema_version":"1.0","canonical_sha256":"588fc617c48abe4f618b50c9033849053be38d2475a97b8b811ac3aeda5a947f","source":{"kind":"arxiv","id":"1202.4749","version":2},"attestation_state":"computed","paper":{"title":"Tail algebras of quantum exchangeable random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Claus K\\\"ostler, Kenneth J. Dykema","submitted_at":"2012-02-21T20:53:29Z","abstract_excerpt":"We show that any countably generated von Neumann algebra with specified normal faithful state can arise as the tail algebra of a quantum exchangeable sequence of noncommutative random variables. We also characterize the cases when the state corresponds to a limit of convex combinations of free products states."},"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":"1202.4749","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2012-02-21T20:53:29Z","cross_cats_sorted":[],"title_canon_sha256":"8a9fc699e12d4b5ca54bae15cad969b83d8bb4a3bebd28a62de683285d7d4a12","abstract_canon_sha256":"8905fa4a6b974eb73d6a399c505f324335e969f3f139bfd076a881f99b6b4bc4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:43.904859Z","signature_b64":"+olwwX4lEtsqvRGLEf2EBkMR86JaiXFB59bZAZk1MP5rQ29BpIKW4BmrKdr+Wg70jcJ/1UUzcIcvMfzqhszmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"588fc617c48abe4f618b50c9033849053be38d2475a97b8b811ac3aeda5a947f","last_reissued_at":"2026-05-18T03:38:43.904329Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:43.904329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tail algebras of quantum exchangeable random variables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Claus K\\\"ostler, Kenneth J. Dykema","submitted_at":"2012-02-21T20:53:29Z","abstract_excerpt":"We show that any countably generated von Neumann algebra with specified normal faithful state can arise as the tail algebra of a quantum exchangeable sequence of noncommutative random variables. We also characterize the cases when the state corresponds to a limit of convex combinations of free products states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.4749","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":"1202.4749","created_at":"2026-05-18T03:38:43.904406+00:00"},{"alias_kind":"arxiv_version","alias_value":"1202.4749v2","created_at":"2026-05-18T03:38:43.904406+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.4749","created_at":"2026-05-18T03:38:43.904406+00:00"},{"alias_kind":"pith_short_12","alias_value":"LCH4MF6ERK7E","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"LCH4MF6ERK7E6YML","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"LCH4MF6E","created_at":"2026-05-18T12:27:14.488303+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/LCH4MF6ERK7E6YMLKDEQGOCJAU","json":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU.json","graph_json":"https://pith.science/api/pith-number/LCH4MF6ERK7E6YMLKDEQGOCJAU/graph.json","events_json":"https://pith.science/api/pith-number/LCH4MF6ERK7E6YMLKDEQGOCJAU/events.json","paper":"https://pith.science/paper/LCH4MF6E"},"agent_actions":{"view_html":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU","download_json":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU.json","view_paper":"https://pith.science/paper/LCH4MF6E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1202.4749&json=true","fetch_graph":"https://pith.science/api/pith-number/LCH4MF6ERK7E6YMLKDEQGOCJAU/graph.json","fetch_events":"https://pith.science/api/pith-number/LCH4MF6ERK7E6YMLKDEQGOCJAU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU/action/storage_attestation","attest_author":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU/action/author_attestation","sign_citation":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU/action/citation_signature","submit_replication":"https://pith.science/pith/LCH4MF6ERK7E6YMLKDEQGOCJAU/action/replication_record"}},"created_at":"2026-05-18T03:38:43.904406+00:00","updated_at":"2026-05-18T03:38:43.904406+00:00"}