{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:QVZSPKJ4AAFBGEBOUXQNT2OQXI","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":"694143bf6df02684eb9dd7e9a014e61d2eb7de7d6675a3b3c7b826614e334fe0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-16T08:56:29Z","title_canon_sha256":"6814771de19807f5cb9c98a35cc803868988a258f793e44f94e3c8044d847377"},"schema_version":"1.0","source":{"id":"1307.4201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4201","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4201v1","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4201","created_at":"2026-05-18T03:18:19Z"},{"alias_kind":"pith_short_12","alias_value":"QVZSPKJ4AAFB","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"QVZSPKJ4AAFBGEBO","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"QVZSPKJ4","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:e622f36b98f5ca9fd672587834cfb9d745d0353b69f3febb363557548a705a88","target":"graph","created_at":"2026-05-18T03:18:19Z","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":"State operators on convex effect algebras, in particular effect algebras of unital JC-algebras, JW-algebras and convex sigma-MV algebras are studied and their relations with conditional expectations in algebraic sense as well as in the sense of probability on MV-algebras are shown.","authors_text":"Anna Jencova, Sylvia Pulmannova","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-16T08:56:29Z","title":"Effect algebras with state operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4201","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":"sha256:0f4bdf40a203cab0f75272f36fa80a99436b2dc3f163278abb2f1e8792f5e593","target":"record","created_at":"2026-05-18T03:18:19Z","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":"694143bf6df02684eb9dd7e9a014e61d2eb7de7d6675a3b3c7b826614e334fe0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-07-16T08:56:29Z","title_canon_sha256":"6814771de19807f5cb9c98a35cc803868988a258f793e44f94e3c8044d847377"},"schema_version":"1.0","source":{"id":"1307.4201","kind":"arxiv","version":1}},"canonical_sha256":"857327a93c000a13102ea5e0d9e9d0ba1fa50afb9f72ec3ff0136fec8e9338dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"857327a93c000a13102ea5e0d9e9d0ba1fa50afb9f72ec3ff0136fec8e9338dc","first_computed_at":"2026-05-18T03:18:19.396434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:19.396434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A8+Ymxua5jFyXziVq0WWDH5LkO2nn6AYKIy6qwNRqu9WG4yp3+rdJk+Z2NRChgGOnYmz8ON9H5nJoAdONjatDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:19.396862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f4bdf40a203cab0f75272f36fa80a99436b2dc3f163278abb2f1e8792f5e593","sha256:e622f36b98f5ca9fd672587834cfb9d745d0353b69f3febb363557548a705a88"],"state_sha256":"629cc92f47bacc0c7a9d29f27c4db4b0c9f4d1b6bed38a9a44cbf95880682843"}