{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:I3BD6QLBIH4BIRYAFZ3NTNSU2C","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":"19992d5cf59807309f72094b88508b3de23fb5f1cfca60c544fad6e375761dfd","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-15T07:36:49Z","title_canon_sha256":"af905f85f9ecef976b64281b6128fb87ac0055c509185022f9834559ae8e912c"},"schema_version":"1.0","source":{"id":"1403.3763","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.3763","created_at":"2026-05-18T01:44:00Z"},{"alias_kind":"arxiv_version","alias_value":"1403.3763v1","created_at":"2026-05-18T01:44:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.3763","created_at":"2026-05-18T01:44:00Z"},{"alias_kind":"pith_short_12","alias_value":"I3BD6QLBIH4B","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"I3BD6QLBIH4BIRYA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"I3BD6QLB","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:e3082aeb058b1683746774817ff8693a797a6e8a07e8294cfe3b86b31a2aed26","target":"graph","created_at":"2026-05-18T01:44:00Z","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":"For the quantum stochastic processes generated by the Boolean Commutation Relations, we prove the following version of De Finetti Theorem: each of such Boolean process is exchangeable if and only if it is independent and identically distributed with respect to the tail algebra.","authors_text":"Francesco Fidaleo","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-15T07:36:49Z","title":"A note on Boolean stochastic processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.3763","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":"sha256:0d72da3b2ddadcf8e7da4236e350b27992b0f08d85502f4496da2ec3779da423","target":"record","created_at":"2026-05-18T01:44:00Z","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":"19992d5cf59807309f72094b88508b3de23fb5f1cfca60c544fad6e375761dfd","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-03-15T07:36:49Z","title_canon_sha256":"af905f85f9ecef976b64281b6128fb87ac0055c509185022f9834559ae8e912c"},"schema_version":"1.0","source":{"id":"1403.3763","kind":"arxiv","version":1}},"canonical_sha256":"46c23f416141f81447002e76d9b654d0901ff6fc732f9d47df662e45c7356336","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46c23f416141f81447002e76d9b654d0901ff6fc732f9d47df662e45c7356336","first_computed_at":"2026-05-18T01:44:00.898161Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:00.898161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z1xcp5YP3nHDJ6bj704iWhutlGU9OEd96V1Y3k+xvI8iSUUf8Yyd8J+xi7JI7BcgCDiTB/6jg8D0vpAAOvguDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:00.898817Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.3763","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d72da3b2ddadcf8e7da4236e350b27992b0f08d85502f4496da2ec3779da423","sha256:e3082aeb058b1683746774817ff8693a797a6e8a07e8294cfe3b86b31a2aed26"],"state_sha256":"ddb86a78daa23924405445bb5a251fa14f7ff702f8351ba89b8fbbf3a3df945d"}