{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B3C226LXSOFDFDP4TNAD73OQLO","short_pith_number":"pith:B3C226LX","canonical_record":{"source":{"id":"1402.2840","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-02-12T14:47:05Z","cross_cats_sorted":[],"title_canon_sha256":"5d71d61ad31bbfd022e9d7d1cda69ff61d54571395f0a046be90df9a7b7547bc","abstract_canon_sha256":"f80d86f8b9d63b573fda0b30e194b108e04cc9c9fbc8a531d17f70a06b6f990d"},"schema_version":"1.0"},"canonical_sha256":"0ec5ad7977938a328dfc9b403fedd05ba14ca15d11dc74c976032471c16125b2","source":{"kind":"arxiv","id":"1402.2840","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2840","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2840v3","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2840","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"pith_short_12","alias_value":"B3C226LXSOFD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B3C226LXSOFDFDP4","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B3C226LX","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B3C226LXSOFDFDP4TNAD73OQLO","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2840","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-02-12T14:47:05Z","cross_cats_sorted":[],"title_canon_sha256":"5d71d61ad31bbfd022e9d7d1cda69ff61d54571395f0a046be90df9a7b7547bc","abstract_canon_sha256":"f80d86f8b9d63b573fda0b30e194b108e04cc9c9fbc8a531d17f70a06b6f990d"},"schema_version":"1.0"},"canonical_sha256":"0ec5ad7977938a328dfc9b403fedd05ba14ca15d11dc74c976032471c16125b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:46.341994Z","signature_b64":"+OWzkKceNbCuHVipHYKaTqvP0RnorqWKYojmF0GRyVHczQHOd1owwWYqlIq9nHR+ueBXejSZCnsbJZT4EVbbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ec5ad7977938a328dfc9b403fedd05ba14ca15d11dc74c976032471c16125b2","last_reissued_at":"2026-05-18T02:48:46.341181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:46.341181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2840","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:48:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P0u7SSzPVISSZDAlNA8vDzQdnEWUcIXyRMLXnSPa4OH/iRfMcWughHm8Xay81e7SIQkQJDKRDbSVJJlYQAyaAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:55:19.216556Z"},"content_sha256":"b658e6fe8b012ddcc9c08ed8872629e1f058cd00e18a0e2aa6424a4fdddb65a7","schema_version":"1.0","event_id":"sha256:b658e6fe8b012ddcc9c08ed8872629e1f058cd00e18a0e2aa6424a4fdddb65a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B3C226LXSOFDFDP4TNAD73OQLO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Robust Synchronization in Markov Decision Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Laurent Doyen, Mahsa Shirmohammadi, Thierry Massart","submitted_at":"2014-02-12T14:47:05Z","abstract_excerpt":"We consider synchronizing properties of Markov decision processes (MDP), viewed as generators of sequences of probability distributions over states. A probability distribution is p-synchronizing if the probability mass is at least p in some state, and a sequence of probability distributions is weakly p-synchronizing, or strongly p-synchronizing if respectively infinitely many, or all but finitely many distributions in the sequence are p-synchronizing.\n  For each synchronizing mode, an MDP can be (i) sure winning if there is a strategy that produces a 1-synchronizing sequence; (ii) almost-sure "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2840","kind":"arxiv","version":3},"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":"2026-05-18T02:48:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SNMEsfAn2QUkM8xQptUeeA6c6HmySviq7GnKTE+sx0QPMG9+hc9qcBrwDlfZox38yq7UeL/BWoV3E9mJepB4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T10:55:19.217217Z"},"content_sha256":"4e2afcdeeaeac23381d504bec554c5cf4eb4f6a5a7473abb87bdbb539e58b242","schema_version":"1.0","event_id":"sha256:4e2afcdeeaeac23381d504bec554c5cf4eb4f6a5a7473abb87bdbb539e58b242"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3C226LXSOFDFDP4TNAD73OQLO/bundle.json","state_url":"https://pith.science/pith/B3C226LXSOFDFDP4TNAD73OQLO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3C226LXSOFDFDP4TNAD73OQLO/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":"2026-05-24T10:55:19Z","links":{"resolver":"https://pith.science/pith/B3C226LXSOFDFDP4TNAD73OQLO","bundle":"https://pith.science/pith/B3C226LXSOFDFDP4TNAD73OQLO/bundle.json","state":"https://pith.science/pith/B3C226LXSOFDFDP4TNAD73OQLO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3C226LXSOFDFDP4TNAD73OQLO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B3C226LXSOFDFDP4TNAD73OQLO","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":"f80d86f8b9d63b573fda0b30e194b108e04cc9c9fbc8a531d17f70a06b6f990d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-02-12T14:47:05Z","title_canon_sha256":"5d71d61ad31bbfd022e9d7d1cda69ff61d54571395f0a046be90df9a7b7547bc"},"schema_version":"1.0","source":{"id":"1402.2840","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2840","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2840v3","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2840","created_at":"2026-05-18T02:48:46Z"},{"alias_kind":"pith_short_12","alias_value":"B3C226LXSOFD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"B3C226LXSOFDFDP4","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"B3C226LX","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:4e2afcdeeaeac23381d504bec554c5cf4eb4f6a5a7473abb87bdbb539e58b242","target":"graph","created_at":"2026-05-18T02:48:46Z","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":"We consider synchronizing properties of Markov decision processes (MDP), viewed as generators of sequences of probability distributions over states. A probability distribution is p-synchronizing if the probability mass is at least p in some state, and a sequence of probability distributions is weakly p-synchronizing, or strongly p-synchronizing if respectively infinitely many, or all but finitely many distributions in the sequence are p-synchronizing.\n  For each synchronizing mode, an MDP can be (i) sure winning if there is a strategy that produces a 1-synchronizing sequence; (ii) almost-sure ","authors_text":"Laurent Doyen, Mahsa Shirmohammadi, Thierry Massart","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-02-12T14:47:05Z","title":"Robust Synchronization in Markov Decision Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2840","kind":"arxiv","version":3},"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:b658e6fe8b012ddcc9c08ed8872629e1f058cd00e18a0e2aa6424a4fdddb65a7","target":"record","created_at":"2026-05-18T02:48:46Z","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":"f80d86f8b9d63b573fda0b30e194b108e04cc9c9fbc8a531d17f70a06b6f990d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2014-02-12T14:47:05Z","title_canon_sha256":"5d71d61ad31bbfd022e9d7d1cda69ff61d54571395f0a046be90df9a7b7547bc"},"schema_version":"1.0","source":{"id":"1402.2840","kind":"arxiv","version":3}},"canonical_sha256":"0ec5ad7977938a328dfc9b403fedd05ba14ca15d11dc74c976032471c16125b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ec5ad7977938a328dfc9b403fedd05ba14ca15d11dc74c976032471c16125b2","first_computed_at":"2026-05-18T02:48:46.341181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:46.341181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+OWzkKceNbCuHVipHYKaTqvP0RnorqWKYojmF0GRyVHczQHOd1owwWYqlIq9nHR+ueBXejSZCnsbJZT4EVbbAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:46.341994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2840","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b658e6fe8b012ddcc9c08ed8872629e1f058cd00e18a0e2aa6424a4fdddb65a7","sha256:4e2afcdeeaeac23381d504bec554c5cf4eb4f6a5a7473abb87bdbb539e58b242"],"state_sha256":"718b4763af1ff24cb814a465c4958150dc7aab4cfaeff679b503ef36039a9c34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T20tft7HHmpGDMxwe2Apzn4DyBQWKLlqn8TrcCiOgDBQIq8usAM9SeCIGi/1B0G4wJupjJ8nLwovKhH17OuQBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T10:55:19.220394Z","bundle_sha256":"9d171b3f811e568472d69bdf921de71d2882df5c6ddc8c8162102e4bca7e4a09"}}