{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:3JQXSEZ6AQVYFBCFKWR7CLBYSK","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":"d27fa1c68970b8ee8ad000a7fe4a8afab5e36370e461c0ea6c89ab62c47de144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-23T02:45:19Z","title_canon_sha256":"3c6806ba996a04eb1f932fd8770332016462bb84e1dcab10a86e2eed45b12a94"},"schema_version":"1.0","source":{"id":"1906.09541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09541","created_at":"2026-05-17T23:42:37Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09541v1","created_at":"2026-05-17T23:42:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09541","created_at":"2026-05-17T23:42:37Z"},{"alias_kind":"pith_short_12","alias_value":"3JQXSEZ6AQVY","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"3JQXSEZ6AQVYFBCF","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"3JQXSEZ6","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:9dd831c229fa5bb9ca2211e92fe9f4745f718e2863a523826b07d3f6d3dc3cf8","target":"graph","created_at":"2026-05-17T23:42:37Z","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":"There is a lot of research on probabilistic transition systems. There are not many studies in probabilistic process models. The lack of investigation into the interactive aspect of probabilistic processes is mainly due to the difficulty caused by the discrepancy between probabilistic actions and nondeterministic behaviours. The paper proposes a uniform approach to probabilistic process models and a bisimulation congruence for probabilistic concurrency.","authors_text":"Yuxi Fu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-23T02:45:19Z","title":"A Uniform Approach to Random Process Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09541","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:f045bd1463044f3d6942411f5217c0b7a53fc5dcf2f8c7528213b0beef01314b","target":"record","created_at":"2026-05-17T23:42:37Z","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":"d27fa1c68970b8ee8ad000a7fe4a8afab5e36370e461c0ea6c89ab62c47de144","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-23T02:45:19Z","title_canon_sha256":"3c6806ba996a04eb1f932fd8770332016462bb84e1dcab10a86e2eed45b12a94"},"schema_version":"1.0","source":{"id":"1906.09541","kind":"arxiv","version":1}},"canonical_sha256":"da6179133e042b82844555a3f12c3892813b24f73806798efc4d596c8f082ab4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da6179133e042b82844555a3f12c3892813b24f73806798efc4d596c8f082ab4","first_computed_at":"2026-05-17T23:42:37.649750Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:37.649750Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tzs1FrkLSNzl9b9vpyF4mbHqbZUjYHYfiOnLNR2sfChfSWgDnkqKjluSfkZIDCG1oGguPSsPgL0V3wHs2HXHDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:37.650473Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f045bd1463044f3d6942411f5217c0b7a53fc5dcf2f8c7528213b0beef01314b","sha256:9dd831c229fa5bb9ca2211e92fe9f4745f718e2863a523826b07d3f6d3dc3cf8"],"state_sha256":"7ff83a78e5e1f229463411a023586878550c725794ce6128645d39168b288780"}