{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:2E47SEC6BZ4NHERFBOCG5TOTPO","short_pith_number":"pith:2E47SEC6","canonical_record":{"source":{"id":"1912.11223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-12-24T06:41:48Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"655d062703ab2c1292d48ee1133da0c361c11554b6862a3375eb1e79b40676bc","abstract_canon_sha256":"4a7b6a0bdc5dd99feaa7a8155f8ab0530cd5a9a81ff0cd707ec37598088298bf"},"schema_version":"1.0"},"canonical_sha256":"d139f9105e0e78d392250b846ecdd37bab43c040262a96972973228981bb3e36","source":{"kind":"arxiv","id":"1912.11223","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.11223","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1912.11223v2","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.11223","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"2E47SEC6BZ4N","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"pith_short_16","alias_value":"2E47SEC6BZ4NHERF","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"pith_short_8","alias_value":"2E47SEC6","created_at":"2026-07-05T00:43:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:2E47SEC6BZ4NHERFBOCG5TOTPO","target":"record","payload":{"canonical_record":{"source":{"id":"1912.11223","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-12-24T06:41:48Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"655d062703ab2c1292d48ee1133da0c361c11554b6862a3375eb1e79b40676bc","abstract_canon_sha256":"4a7b6a0bdc5dd99feaa7a8155f8ab0530cd5a9a81ff0cd707ec37598088298bf"},"schema_version":"1.0"},"canonical_sha256":"d139f9105e0e78d392250b846ecdd37bab43c040262a96972973228981bb3e36","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:43:44.419895Z","signature_b64":"eYIbXnJiJhNPmTpqjX9XF92bd2d/gTxVaqFDkKn2lJnJUXa3lYyyhKkY3AZcop9PvXXKCdbLAQId+aMwzmzwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d139f9105e0e78d392250b846ecdd37bab43c040262a96972973228981bb3e36","last_reissued_at":"2026-07-05T00:43:44.419479Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:43:44.419479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1912.11223","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8GvbhufoSolCVb5xH0EboqkzXiEiR4SUsZMf5UuFeS3PUL3ZNzX6gOT0YBfps+A6R5eaN6kIggcz/tPeNovhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:29:49.788225Z"},"content_sha256":"7e83803c2d61916daeb6918f04c6b7628b2c72d9ee830dc135b2a3484e535ff8","schema_version":"1.0","event_id":"sha256:7e83803c2d61916daeb6918f04c6b7628b2c72d9ee830dc135b2a3484e535ff8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:2E47SEC6BZ4NHERFBOCG5TOTPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scenario-Based Verification of Uncertain MDPs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.LO","authors_text":"Joost-Pieter Katoen, Murat Cubuktepe, Nils Jansen, Sebastian Junges, Ufuk Topcu","submitted_at":"2019-12-24T06:41:48Z","abstract_excerpt":"We consider Markov decision processes (MDPs) in which the transition probabilities and rewards belong to an uncertainty set parametrized by a collection of random variables. The probability distributions for these random parameters are unknown. The problem is to compute the probability to satisfy a temporal logic specification within any MDP that corresponds to a sample from these unknown distributions. In general, this problem is undecidable, and we resort to techniques from so-called scenario optimization. Based on a finite number of samples of the uncertain parameters, each of which induces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.11223","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1912.11223/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ReEwH551hrZYDemvBAO0HXnhzgmOhQf/JzGPng+vqrWl2K5tIN7hNfQG005z+GNAYTxHSA+ML850e2iaBxY0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T18:29:49.789043Z"},"content_sha256":"cefca6ba2c3ec9f6d5d3b8e2d277728e6244b0cd446bbccd08b84220f04a1d24","schema_version":"1.0","event_id":"sha256:cefca6ba2c3ec9f6d5d3b8e2d277728e6244b0cd446bbccd08b84220f04a1d24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2E47SEC6BZ4NHERFBOCG5TOTPO/bundle.json","state_url":"https://pith.science/pith/2E47SEC6BZ4NHERFBOCG5TOTPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2E47SEC6BZ4NHERFBOCG5TOTPO/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T18:29:49Z","links":{"resolver":"https://pith.science/pith/2E47SEC6BZ4NHERFBOCG5TOTPO","bundle":"https://pith.science/pith/2E47SEC6BZ4NHERFBOCG5TOTPO/bundle.json","state":"https://pith.science/pith/2E47SEC6BZ4NHERFBOCG5TOTPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2E47SEC6BZ4NHERFBOCG5TOTPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2E47SEC6BZ4NHERFBOCG5TOTPO","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":"4a7b6a0bdc5dd99feaa7a8155f8ab0530cd5a9a81ff0cd707ec37598088298bf","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-12-24T06:41:48Z","title_canon_sha256":"655d062703ab2c1292d48ee1133da0c361c11554b6862a3375eb1e79b40676bc"},"schema_version":"1.0","source":{"id":"1912.11223","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.11223","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1912.11223v2","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.11223","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"2E47SEC6BZ4N","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"pith_short_16","alias_value":"2E47SEC6BZ4NHERF","created_at":"2026-07-05T00:43:44Z"},{"alias_kind":"pith_short_8","alias_value":"2E47SEC6","created_at":"2026-07-05T00:43:44Z"}],"graph_snapshots":[{"event_id":"sha256:cefca6ba2c3ec9f6d5d3b8e2d277728e6244b0cd446bbccd08b84220f04a1d24","target":"graph","created_at":"2026-07-05T00:43:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.11223/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider Markov decision processes (MDPs) in which the transition probabilities and rewards belong to an uncertainty set parametrized by a collection of random variables. The probability distributions for these random parameters are unknown. The problem is to compute the probability to satisfy a temporal logic specification within any MDP that corresponds to a sample from these unknown distributions. In general, this problem is undecidable, and we resort to techniques from so-called scenario optimization. Based on a finite number of samples of the uncertain parameters, each of which induces","authors_text":"Joost-Pieter Katoen, Murat Cubuktepe, Nils Jansen, Sebastian Junges, Ufuk Topcu","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-12-24T06:41:48Z","title":"Scenario-Based Verification of Uncertain MDPs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.11223","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":"sha256:7e83803c2d61916daeb6918f04c6b7628b2c72d9ee830dc135b2a3484e535ff8","target":"record","created_at":"2026-07-05T00:43:44Z","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":"4a7b6a0bdc5dd99feaa7a8155f8ab0530cd5a9a81ff0cd707ec37598088298bf","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-12-24T06:41:48Z","title_canon_sha256":"655d062703ab2c1292d48ee1133da0c361c11554b6862a3375eb1e79b40676bc"},"schema_version":"1.0","source":{"id":"1912.11223","kind":"arxiv","version":2}},"canonical_sha256":"d139f9105e0e78d392250b846ecdd37bab43c040262a96972973228981bb3e36","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d139f9105e0e78d392250b846ecdd37bab43c040262a96972973228981bb3e36","first_computed_at":"2026-07-05T00:43:44.419479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:43:44.419479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eYIbXnJiJhNPmTpqjX9XF92bd2d/gTxVaqFDkKn2lJnJUXa3lYyyhKkY3AZcop9PvXXKCdbLAQId+aMwzmzwCA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:43:44.419895Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.11223","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e83803c2d61916daeb6918f04c6b7628b2c72d9ee830dc135b2a3484e535ff8","sha256:cefca6ba2c3ec9f6d5d3b8e2d277728e6244b0cd446bbccd08b84220f04a1d24"],"state_sha256":"467d2d76ac373e0c7db2cf4edcaf14b2601fd0f08e69e25e70c4f44c1ce3fb16"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nHqzkAFXaT0WXAYxys72s8IzUMaaEmIv8bj3PQROlwWbCqR2npyLKvIedmg/sJVO8ymJ6hBEtlaq0RRhRLwECg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T18:29:49.793083Z","bundle_sha256":"60af9055dc6b25c8b4e59ccca56e33c038a31e0e91fdc8d1717466273d4fdcb2"}}