{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:N2M5TOQD64FCUACBQE4MDRS4VL","short_pith_number":"pith:N2M5TOQD","canonical_record":{"source":{"id":"1904.13360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-04-30T16:44:00Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"68ba9c609168b67dfa6bb76454857dc090eb34d6577e15f992d9e72880f7d87f","abstract_canon_sha256":"be5aa42cb7eef8b9177f7fa01120cd44ef5d6ed029edbbb57d5f04d5eb3e06bd"},"schema_version":"1.0"},"canonical_sha256":"6e99d9ba03f70a2a00418138c1c65caaed0f470aa66c8cd2ddadf68ccf35dbc2","source":{"kind":"arxiv","id":"1904.13360","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.13360","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1904.13360v2","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.13360","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"N2M5TOQD64FC","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"pith_short_16","alias_value":"N2M5TOQD64FCUACB","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"pith_short_8","alias_value":"N2M5TOQD","created_at":"2026-07-05T05:01:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:N2M5TOQD64FCUACBQE4MDRS4VL","target":"record","payload":{"canonical_record":{"source":{"id":"1904.13360","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-04-30T16:44:00Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"68ba9c609168b67dfa6bb76454857dc090eb34d6577e15f992d9e72880f7d87f","abstract_canon_sha256":"be5aa42cb7eef8b9177f7fa01120cd44ef5d6ed029edbbb57d5f04d5eb3e06bd"},"schema_version":"1.0"},"canonical_sha256":"6e99d9ba03f70a2a00418138c1c65caaed0f470aa66c8cd2ddadf68ccf35dbc2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:01:34.632555Z","signature_b64":"sCkVR9SF1MHQ0edtGKhWErchJS6uvo+H/uiMjWyr0kRUgCW9eS6IZK5QmuRaVGpn8JowrcTVcWIbpwMh/VTvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e99d9ba03f70a2a00418138c1c65caaed0f470aa66c8cd2ddadf68ccf35dbc2","last_reissued_at":"2026-07-05T05:01:34.632164Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:01:34.632164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.13360","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":"2026-07-05T05:01:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hyI3zB89jHUyQ5KJDZZb0diWZOxJUTPMFJirvRjukMd6NPnfsBcHqeZmMNO5/qd5qnSRW7YiM4rXu7VBiB7gDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T10:30:38.925428Z"},"content_sha256":"87f825638d14fd684f9a16e41b934fe5bac21b6fd5ca9246ec6d2370fdd8e424","schema_version":"1.0","event_id":"sha256:87f825638d14fd684f9a16e41b934fe5bac21b6fd5ca9246ec6d2370fdd8e424"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:N2M5TOQD64FCUACBQE4MDRS4VL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite-Memory Strategies in POMDPs with Long-Run Average Objectives","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.GT","authors_text":"Bruno Ziliotto, Krishnendu Chatterjee, Raimundo Saona","submitted_at":"2019-04-30T16:44:00Z","abstract_excerpt":"Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the decision maker has approximately optimal strategies with finite memory. This implies notably that approximating the long-run value is recursively enumerable, as well as a weak continuity property of the value with respect to the transition function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.13360","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/1904.13360/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":"2026-07-05T05:01:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YMAPY3dpEIT3kFW3TLil8nNIa5o0xhCWa4+sEnm/ONTVd//FJo1jYt+WfgomM3nTJF4chW+u2Ahgv8k/wDBNCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T10:30:38.926470Z"},"content_sha256":"cbe562a84bd1f3ed0b448d97acd39fade045982a8c71c2db44dfd0a9e737d134","schema_version":"1.0","event_id":"sha256:cbe562a84bd1f3ed0b448d97acd39fade045982a8c71c2db44dfd0a9e737d134"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N2M5TOQD64FCUACBQE4MDRS4VL/bundle.json","state_url":"https://pith.science/pith/N2M5TOQD64FCUACBQE4MDRS4VL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N2M5TOQD64FCUACBQE4MDRS4VL/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":"2026-08-06T10:30:38Z","links":{"resolver":"https://pith.science/pith/N2M5TOQD64FCUACBQE4MDRS4VL","bundle":"https://pith.science/pith/N2M5TOQD64FCUACBQE4MDRS4VL/bundle.json","state":"https://pith.science/pith/N2M5TOQD64FCUACBQE4MDRS4VL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N2M5TOQD64FCUACBQE4MDRS4VL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:N2M5TOQD64FCUACBQE4MDRS4VL","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":"be5aa42cb7eef8b9177f7fa01120cd44ef5d6ed029edbbb57d5f04d5eb3e06bd","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-04-30T16:44:00Z","title_canon_sha256":"68ba9c609168b67dfa6bb76454857dc090eb34d6577e15f992d9e72880f7d87f"},"schema_version":"1.0","source":{"id":"1904.13360","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.13360","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"arxiv_version","alias_value":"1904.13360v2","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.13360","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"pith_short_12","alias_value":"N2M5TOQD64FC","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"pith_short_16","alias_value":"N2M5TOQD64FCUACB","created_at":"2026-07-05T05:01:34Z"},{"alias_kind":"pith_short_8","alias_value":"N2M5TOQD","created_at":"2026-07-05T05:01:34Z"}],"graph_snapshots":[{"event_id":"sha256:cbe562a84bd1f3ed0b448d97acd39fade045982a8c71c2db44dfd0a9e737d134","target":"graph","created_at":"2026-07-05T05:01:34Z","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/1904.13360/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Partially observable Markov decision processes (POMDPs) are standard models for dynamic systems with probabilistic and nondeterministic behaviour in uncertain environments. We prove that in POMDPs with long-run average objective, the decision maker has approximately optimal strategies with finite memory. This implies notably that approximating the long-run value is recursively enumerable, as well as a weak continuity property of the value with respect to the transition function.","authors_text":"Bruno Ziliotto, Krishnendu Chatterjee, Raimundo Saona","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-04-30T16:44:00Z","title":"Finite-Memory Strategies in POMDPs with Long-Run Average Objectives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.13360","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":"sha256:87f825638d14fd684f9a16e41b934fe5bac21b6fd5ca9246ec6d2370fdd8e424","target":"record","created_at":"2026-07-05T05:01:34Z","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":"be5aa42cb7eef8b9177f7fa01120cd44ef5d6ed029edbbb57d5f04d5eb3e06bd","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2019-04-30T16:44:00Z","title_canon_sha256":"68ba9c609168b67dfa6bb76454857dc090eb34d6577e15f992d9e72880f7d87f"},"schema_version":"1.0","source":{"id":"1904.13360","kind":"arxiv","version":2}},"canonical_sha256":"6e99d9ba03f70a2a00418138c1c65caaed0f470aa66c8cd2ddadf68ccf35dbc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e99d9ba03f70a2a00418138c1c65caaed0f470aa66c8cd2ddadf68ccf35dbc2","first_computed_at":"2026-07-05T05:01:34.632164Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:01:34.632164Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sCkVR9SF1MHQ0edtGKhWErchJS6uvo+H/uiMjWyr0kRUgCW9eS6IZK5QmuRaVGpn8JowrcTVcWIbpwMh/VTvCw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:01:34.632555Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.13360","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87f825638d14fd684f9a16e41b934fe5bac21b6fd5ca9246ec6d2370fdd8e424","sha256:cbe562a84bd1f3ed0b448d97acd39fade045982a8c71c2db44dfd0a9e737d134"],"state_sha256":"139517fa5206853765bc0bb80fa429fa86d834289dc9e80a17610f2674062cfb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WWecpN7fIRAIxTQJFbk+Kr0NiFXwbkKNVrXXTS7InBUUaEStc0TazTU60fZnTZg9DBQhPVItXd3u4TfDIZBiDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T10:30:38.934248Z","bundle_sha256":"afdfd9deff4f0bca4a198785801b10829a13c27f5cc5c2ff1b765f638426e421"}}