{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:C2MCJ5KBZND5E3UIAMKI5PBXFK","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":"e7a5718c032e002b904c8f9d99ddb966579fa327e10e0603961dff05f3f3fb6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-02-13T14:14:25Z","title_canon_sha256":"49808152981eadc4197d3b8b9fab6718177e713c3bda6dc37316394c6bae3a69"},"schema_version":"1.0","source":{"id":"1302.3581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.3581","created_at":"2026-05-18T03:33:36Z"},{"alias_kind":"arxiv_version","alias_value":"1302.3581v1","created_at":"2026-05-18T03:33:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.3581","created_at":"2026-05-18T03:33:36Z"},{"alias_kind":"pith_short_12","alias_value":"C2MCJ5KBZND5","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"C2MCJ5KBZND5E3UI","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"C2MCJ5KB","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:2fe9c0c002454118ca80b180f89ba90ccffaab665a7be73e2fdf76e34e070b88","target":"graph","created_at":"2026-05-18T03:33:36Z","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":"Modeling worlds and actions under uncertainty is one of the central problems in the framework of decision-theoretic planning.  The representation must be general enough to capture real-world problems but at the same time it must provide a basis upon which theoretical results can be derived.  The central notion in the framework we propose here is that of the affine-operator, which serves as a tool for constructing (convex) sets of probability distributions, and which can be considered as a generalization of belief functions and interval mass assignments.  Uncertainty in the state of the worlds ","authors_text":"Peter Haddawy, Vu A. Ha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-02-13T14:14:25Z","title":"Theoretical Foundations for Abstraction-Based Probabilistic Planning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.3581","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":"sha256:25632619defe31ad962494079186575024ede5d1324e996364c218a04b611a86","target":"record","created_at":"2026-05-18T03:33:36Z","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":"e7a5718c032e002b904c8f9d99ddb966579fa327e10e0603961dff05f3f3fb6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2013-02-13T14:14:25Z","title_canon_sha256":"49808152981eadc4197d3b8b9fab6718177e713c3bda6dc37316394c6bae3a69"},"schema_version":"1.0","source":{"id":"1302.3581","kind":"arxiv","version":1}},"canonical_sha256":"169824f541cb47d26e8803148ebc372a869fa0e23e7ce449ee0206f7f3b4e4c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"169824f541cb47d26e8803148ebc372a869fa0e23e7ce449ee0206f7f3b4e4c6","first_computed_at":"2026-05-18T03:33:36.678654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:36.678654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pt1iOEvencVYgxY6Y2h3BN61EfKBQav/qxI9jqyQKzWvSZSQtatL30etubK+tgde+8t1OV8sRO0CK6JXEsDVBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:36.679360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.3581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25632619defe31ad962494079186575024ede5d1324e996364c218a04b611a86","sha256:2fe9c0c002454118ca80b180f89ba90ccffaab665a7be73e2fdf76e34e070b88"],"state_sha256":"7bdc7d3791e270d64277c5a8070750183d5c48265ef459f85a419549a14fa204"}