{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MOL6W3IKO6D2UYEMLVDB2SKTHC","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":"b91bea1c94da3b9b1b57bd76a7759f09050ad85f070078db085114a4b52f4173","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-06-27T16:19:16Z","title_canon_sha256":"529ba49e2429adddb19e6d93ffd80655252126230817fb3d0905da04684d6aec"},"schema_version":"1.0","source":{"id":"1206.6838","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6838","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6838v1","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6838","created_at":"2026-05-18T03:52:15Z"},{"alias_kind":"pith_short_12","alias_value":"MOL6W3IKO6D2","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MOL6W3IKO6D2UYEM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MOL6W3IK","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:28837ece49cf52e01fe5883b3460bc824b00d9ef1583de2513a321f484fdf7db","target":"graph","created_at":"2026-05-18T03:52:15Z","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":"A central task in many applications is reasoning about processes that change in a continuous time. The mathematical framework of Continuous Time Markov Processes provides the basic foundations for modeling such systems. Recently, Nodelman et al introduced continuous time Bayesian networks (CTBNs), which allow a compact representation of continuous-time processes over a factored state space. In this paper, we introduce continuous time Markov networks (CTMNs), an alternative representation language that represents a different type of continuous-time dynamics. In many real life processes, such as","authors_text":"Daphne Koller, Nir Friedman, Raz Kupferman, Tal El-Hay","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-06-27T16:19:16Z","title":"Continuous Time Markov Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6838","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":"sha256:3c67096d37fa053c55eb112b9f69085f9ba4c98190e6b1bef82d73ca3076f394","target":"record","created_at":"2026-05-18T03:52:15Z","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":"b91bea1c94da3b9b1b57bd76a7759f09050ad85f070078db085114a4b52f4173","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-06-27T16:19:16Z","title_canon_sha256":"529ba49e2429adddb19e6d93ffd80655252126230817fb3d0905da04684d6aec"},"schema_version":"1.0","source":{"id":"1206.6838","kind":"arxiv","version":1}},"canonical_sha256":"6397eb6d0a7787aa608c5d461d495338ab3f2660722bcb77ff8a64ba0a4d4b43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6397eb6d0a7787aa608c5d461d495338ab3f2660722bcb77ff8a64ba0a4d4b43","first_computed_at":"2026-05-18T03:52:15.670882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:52:15.670882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"32gXKhSfMNWLX7EWAZsUkzrE/eoPd7yaQK6Zdf19SsnrgxdIiuaL/8d/jPrxUuevCVQnr6BvZgbrDC0jDilHBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:52:15.671628Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6838","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c67096d37fa053c55eb112b9f69085f9ba4c98190e6b1bef82d73ca3076f394","sha256:28837ece49cf52e01fe5883b3460bc824b00d9ef1583de2513a321f484fdf7db"],"state_sha256":"9e4fda35c7b1774597a8ceddcd384fe381b17e4615fe49ceac71dbc7a0495055"}