{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FVNJMSU7TTUDG6CTDU3GO2V5A2","short_pith_number":"pith:FVNJMSU7","canonical_record":{"source":{"id":"1604.06118","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-20T20:31:41Z","cross_cats_sorted":[],"title_canon_sha256":"7339850a151dd48abc0e622588fcd0419be1852502e0bf79ca986c36748f9ecd","abstract_canon_sha256":"827029e189ffb4f99736daaf4943ce3f14c253f024329feb3ceb37250291ef80"},"schema_version":"1.0"},"canonical_sha256":"2d5a964a9f9ce83378531d36676abd06b1629b6f4e1320ebe5ae593489fd6b0f","source":{"kind":"arxiv","id":"1604.06118","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06118","created_at":"2026-05-18T00:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06118v5","created_at":"2026-05-18T00:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06118","created_at":"2026-05-18T00:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"FVNJMSU7TTUD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FVNJMSU7TTUDG6CT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FVNJMSU7","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FVNJMSU7TTUDG6CTDU3GO2V5A2","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06118","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-20T20:31:41Z","cross_cats_sorted":[],"title_canon_sha256":"7339850a151dd48abc0e622588fcd0419be1852502e0bf79ca986c36748f9ecd","abstract_canon_sha256":"827029e189ffb4f99736daaf4943ce3f14c253f024329feb3ceb37250291ef80"},"schema_version":"1.0"},"canonical_sha256":"2d5a964a9f9ce83378531d36676abd06b1629b6f4e1320ebe5ae593489fd6b0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:52.536772Z","signature_b64":"+jlR9Uf7trac3mpFsuSCicAXHDIm7l8U8hS/tLlp2+mZZ4QDu61yeOg6Odovugdv8qzqCb200bg4biaPV1CFDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d5a964a9f9ce83378531d36676abd06b1629b6f4e1320ebe5ae593489fd6b0f","last_reissued_at":"2026-05-18T00:44:52.536019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:52.536019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06118","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZJdVOmusP85C9EKtD2aZ/7U53BxCocUib5APQ23xsihW66lEqLg+9YFd39nDrJgy8DEmEFOCmFv3sK0bRPgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:48.823386Z"},"content_sha256":"029b9a90215826f54a33268b93320aec3e6503f6a2541a856aa09300e4984f8e","schema_version":"1.0","event_id":"sha256:029b9a90215826f54a33268b93320aec3e6503f6a2541a856aa09300e4984f8e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FVNJMSU7TTUDG6CTDU3GO2V5A2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"XPL: An extended probabilistic logic for probabilistic transition systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Andrey Gorlin, C. R. Ramakrishnan","submitted_at":"2016-04-20T20:31:41Z","abstract_excerpt":"Generalized Probabilistic Logic (GPL) is a temporal logic, based on the modal mu-calculus, for specifying properties of reactive probabilistic systems. We explore XPL, an extension to GPL allowing the semantics of nondeterminism present in Markov decision processes (MDPs). XPL is expressive enough that a number of independently studied problems--- such as termination of Recursive MDPs (RMDPs), PCTL* model checking of MDPs, and reachability for Branching MDPs--- can all be cast as model checking over XPL. Termination of multi-exit RMDPs is undecidable; thus, model checking in XPL is undecidable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06118","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:44:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dWw/A3pHYyELjbtkBwtid7A1x0pKcgcVpxRcXFjfy8Qkm+qdDcUbzf+EwkB7caXEjdzbB2J7zgeqFWLHpjHNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T23:05:48.823975Z"},"content_sha256":"8f1f28cf288e5f6c044b9fd4c4ee560148d1cf0a9ee2b0671f12faadf2e4dac6","schema_version":"1.0","event_id":"sha256:8f1f28cf288e5f6c044b9fd4c4ee560148d1cf0a9ee2b0671f12faadf2e4dac6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2/bundle.json","state_url":"https://pith.science/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2/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":"2026-06-07T23:05:48Z","links":{"resolver":"https://pith.science/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2","bundle":"https://pith.science/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2/bundle.json","state":"https://pith.science/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVNJMSU7TTUDG6CTDU3GO2V5A2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FVNJMSU7TTUDG6CTDU3GO2V5A2","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":"827029e189ffb4f99736daaf4943ce3f14c253f024329feb3ceb37250291ef80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-20T20:31:41Z","title_canon_sha256":"7339850a151dd48abc0e622588fcd0419be1852502e0bf79ca986c36748f9ecd"},"schema_version":"1.0","source":{"id":"1604.06118","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06118","created_at":"2026-05-18T00:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06118v5","created_at":"2026-05-18T00:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06118","created_at":"2026-05-18T00:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"FVNJMSU7TTUD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FVNJMSU7TTUDG6CT","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FVNJMSU7","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:8f1f28cf288e5f6c044b9fd4c4ee560148d1cf0a9ee2b0671f12faadf2e4dac6","target":"graph","created_at":"2026-05-18T00:44:52Z","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":"Generalized Probabilistic Logic (GPL) is a temporal logic, based on the modal mu-calculus, for specifying properties of reactive probabilistic systems. We explore XPL, an extension to GPL allowing the semantics of nondeterminism present in Markov decision processes (MDPs). XPL is expressive enough that a number of independently studied problems--- such as termination of Recursive MDPs (RMDPs), PCTL* model checking of MDPs, and reachability for Branching MDPs--- can all be cast as model checking over XPL. Termination of multi-exit RMDPs is undecidable; thus, model checking in XPL is undecidable","authors_text":"Andrey Gorlin, C. R. Ramakrishnan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-20T20:31:41Z","title":"XPL: An extended probabilistic logic for probabilistic transition systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06118","kind":"arxiv","version":5},"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":"sha256:029b9a90215826f54a33268b93320aec3e6503f6a2541a856aa09300e4984f8e","target":"record","created_at":"2026-05-18T00:44:52Z","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":"827029e189ffb4f99736daaf4943ce3f14c253f024329feb3ceb37250291ef80","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2016-04-20T20:31:41Z","title_canon_sha256":"7339850a151dd48abc0e622588fcd0419be1852502e0bf79ca986c36748f9ecd"},"schema_version":"1.0","source":{"id":"1604.06118","kind":"arxiv","version":5}},"canonical_sha256":"2d5a964a9f9ce83378531d36676abd06b1629b6f4e1320ebe5ae593489fd6b0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d5a964a9f9ce83378531d36676abd06b1629b6f4e1320ebe5ae593489fd6b0f","first_computed_at":"2026-05-18T00:44:52.536019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:52.536019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+jlR9Uf7trac3mpFsuSCicAXHDIm7l8U8hS/tLlp2+mZZ4QDu61yeOg6Odovugdv8qzqCb200bg4biaPV1CFDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:52.536772Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06118","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:029b9a90215826f54a33268b93320aec3e6503f6a2541a856aa09300e4984f8e","sha256:8f1f28cf288e5f6c044b9fd4c4ee560148d1cf0a9ee2b0671f12faadf2e4dac6"],"state_sha256":"0cc9f963451e948497c903bd30474a51c4b31f4960737ae0db751f57428944db"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PNfcV+HgswbKa3jt6mjmzOgfkQZr3RvUZVkpYl89F0u3cGpg1IMyYC/o1cLLuM6mETX6ahdXVsrI7Q6OkXvLDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T23:05:48.827346Z","bundle_sha256":"f5061d1776d5b40f1b7364b282a9e97587766839c6d1281901d6e9717517143c"}}