{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:E7FUXJF46PVLWTPGY2G4KRRN6W","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":"f583610d762b93e8d535b2aa5ae65b01df91eb593f8266e44dd4f4bad04da3b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-11-17T17:29:29Z","title_canon_sha256":"a6af0c62fbec425fdafd61a0e78cad78c13125850bed9dfd2463b78d462c5bf6"},"schema_version":"1.0","source":{"id":"1611.05796","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05796","created_at":"2026-05-18T00:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05796v2","created_at":"2026-05-18T00:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05796","created_at":"2026-05-18T00:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"E7FUXJF46PVL","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"E7FUXJF46PVLWTPG","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"E7FUXJF4","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:1fd8185a1c8386d8d51eb40036fc498bd20edd642412d6f91724f6c14a3b564e","target":"graph","created_at":"2026-05-18T00:41:58Z","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":"Continuous-time Markov chains are mathematical models that are used to describe the state-evolution of dynamical systems under stochastic uncertainty, and have found widespread applications in various fields. In order to make these models computationally tractable, they rely on a number of assumptions that may not be realistic for the domain of application; in particular, the ability to provide exact numerical parameter assessments, and the applicability of time-homogeneity and the eponymous Markov property. In this work, we extend these models to imprecise continuous-time Markov chains (ICTMC","authors_text":"Arno Siebes, Jasper De Bock, Thomas Krak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-11-17T17:29:29Z","title":"Imprecise Continuous-Time Markov Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05796","kind":"arxiv","version":2},"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":"sha256:54705f8eb140b56a2b2d25326e3153805a16c6fcd6ba2f4d570a7da3f384f007","target":"record","created_at":"2026-05-18T00:41:58Z","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":"f583610d762b93e8d535b2aa5ae65b01df91eb593f8266e44dd4f4bad04da3b0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-11-17T17:29:29Z","title_canon_sha256":"a6af0c62fbec425fdafd61a0e78cad78c13125850bed9dfd2463b78d462c5bf6"},"schema_version":"1.0","source":{"id":"1611.05796","kind":"arxiv","version":2}},"canonical_sha256":"27cb4ba4bcf3eabb4de6c68dc5462df5adc6e9cfbb57aafa9f23365c9876c7cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"27cb4ba4bcf3eabb4de6c68dc5462df5adc6e9cfbb57aafa9f23365c9876c7cb","first_computed_at":"2026-05-18T00:41:58.124052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:58.124052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sga/4HSIrjcQVvH4y5kay7/xmB/IoI+TpLu1HrulIxlmpXDbVe6JJHzKz02KEsy3UuGgAJFuu9+19xU6o3voDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:58.124821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05796","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54705f8eb140b56a2b2d25326e3153805a16c6fcd6ba2f4d570a7da3f384f007","sha256:1fd8185a1c8386d8d51eb40036fc498bd20edd642412d6f91724f6c14a3b564e"],"state_sha256":"1c0a0c4f9c12e4249ae549a7a25c3544ea9f32d1bf286739bd6fbc22a0aea2ab"}