{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:MXG3JP7OQB26OGWPSKOV7MTEE5","short_pith_number":"pith:MXG3JP7O","canonical_record":{"source":{"id":"1203.6898","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-30T19:49:24Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a3dae95a86a58897190e35b855403e28274770c69478cfc7f6588eb4bac0b242","abstract_canon_sha256":"622f88e9998fd69f98d824218d7d5e416bdc86c9ac296855ad64847d263f7ce4"},"schema_version":"1.0"},"canonical_sha256":"65cdb4bfee8075e71acf929d5fb264275bbe322dabd82b6d337ee39d0c9f92af","source":{"kind":"arxiv","id":"1203.6898","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6898","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6898v2","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6898","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"MXG3JP7OQB26","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MXG3JP7OQB26OGWP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MXG3JP7O","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:MXG3JP7OQB26OGWPSKOV7MTEE5","target":"record","payload":{"canonical_record":{"source":{"id":"1203.6898","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-30T19:49:24Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"a3dae95a86a58897190e35b855403e28274770c69478cfc7f6588eb4bac0b242","abstract_canon_sha256":"622f88e9998fd69f98d824218d7d5e416bdc86c9ac296855ad64847d263f7ce4"},"schema_version":"1.0"},"canonical_sha256":"65cdb4bfee8075e71acf929d5fb264275bbe322dabd82b6d337ee39d0c9f92af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:13.372983Z","signature_b64":"j2nDtsxh+nCI1lRxPVpVLI7vN57b862AThiJTj/8wTJRCUlfk1itQHoYT1BQphRDAYYCmFOhhg5w4Ceczai9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65cdb4bfee8075e71acf929d5fb264275bbe322dabd82b6d337ee39d0c9f92af","last_reissued_at":"2026-05-18T02:47:13.372477Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:13.372477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.6898","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":"2026-05-18T02:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OPAnxyffAXRVHmpkvZk8dBy4yfoa7mnTTKV7i/TZbHLXdMvYOe9qSUz5dyG5PJVDquvZQ9yEg9f8X982D+bNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:25:05.595112Z"},"content_sha256":"c3bb75ff6158623c557e316b6e175bb9f7bd1aba9dec4be7eb0e11c7ea391f49","schema_version":"1.0","event_id":"sha256:c3bb75ff6158623c557e316b6e175bb9f7bd1aba9dec4be7eb0e11c7ea391f49"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:MXG3JP7OQB26OGWPSKOV7MTEE5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Long-term stability of sequential Monte Carlo methods under verifiable conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Eric Moulines, Jimmy Olsson, Randal Douc","submitted_at":"2012-03-30T19:49:24Z","abstract_excerpt":"This paper discusses particle filtering in general hidden Markov models (HMMs) and presents novel theoretical results on the long-term stability of bootstrap-type particle filters. More specifically, we establish that the asymptotic variance of the Monte Carlo estimates produced by the bootstrap filter is uniformly bounded in time. On the contrary to most previous results of this type, which in general presuppose that the state space of the hidden state process is compact (an assumption that is rarely satisfied in practice), our very mild assumptions are satisfied for a large class of HMMs wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6898","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":""},"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":"2026-05-18T02:47:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ty8S+sp0m11vXcupXD/GMSOvIPsmy+I2IYRgSbm4IQGuLPnXwZopt4HIOeMZCD6zbAyZvnL0g8vRlvhDx93ICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:25:05.595783Z"},"content_sha256":"87456402b2d53c93bd6ced38e2b398538c53c74746d3cc953ddb3e1df295fbb7","schema_version":"1.0","event_id":"sha256:87456402b2d53c93bd6ced38e2b398538c53c74746d3cc953ddb3e1df295fbb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MXG3JP7OQB26OGWPSKOV7MTEE5/bundle.json","state_url":"https://pith.science/pith/MXG3JP7OQB26OGWPSKOV7MTEE5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MXG3JP7OQB26OGWPSKOV7MTEE5/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":"2026-05-25T18:25:05Z","links":{"resolver":"https://pith.science/pith/MXG3JP7OQB26OGWPSKOV7MTEE5","bundle":"https://pith.science/pith/MXG3JP7OQB26OGWPSKOV7MTEE5/bundle.json","state":"https://pith.science/pith/MXG3JP7OQB26OGWPSKOV7MTEE5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MXG3JP7OQB26OGWPSKOV7MTEE5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MXG3JP7OQB26OGWPSKOV7MTEE5","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":"622f88e9998fd69f98d824218d7d5e416bdc86c9ac296855ad64847d263f7ce4","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-30T19:49:24Z","title_canon_sha256":"a3dae95a86a58897190e35b855403e28274770c69478cfc7f6588eb4bac0b242"},"schema_version":"1.0","source":{"id":"1203.6898","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.6898","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"arxiv_version","alias_value":"1203.6898v2","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6898","created_at":"2026-05-18T02:47:13Z"},{"alias_kind":"pith_short_12","alias_value":"MXG3JP7OQB26","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MXG3JP7OQB26OGWP","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MXG3JP7O","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:87456402b2d53c93bd6ced38e2b398538c53c74746d3cc953ddb3e1df295fbb7","target":"graph","created_at":"2026-05-18T02:47:13Z","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":"This paper discusses particle filtering in general hidden Markov models (HMMs) and presents novel theoretical results on the long-term stability of bootstrap-type particle filters. More specifically, we establish that the asymptotic variance of the Monte Carlo estimates produced by the bootstrap filter is uniformly bounded in time. On the contrary to most previous results of this type, which in general presuppose that the state space of the hidden state process is compact (an assumption that is rarely satisfied in practice), our very mild assumptions are satisfied for a large class of HMMs wit","authors_text":"Eric Moulines, Jimmy Olsson, Randal Douc","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-30T19:49:24Z","title":"Long-term stability of sequential Monte Carlo methods under verifiable conditions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6898","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:c3bb75ff6158623c557e316b6e175bb9f7bd1aba9dec4be7eb0e11c7ea391f49","target":"record","created_at":"2026-05-18T02:47:13Z","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":"622f88e9998fd69f98d824218d7d5e416bdc86c9ac296855ad64847d263f7ce4","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2012-03-30T19:49:24Z","title_canon_sha256":"a3dae95a86a58897190e35b855403e28274770c69478cfc7f6588eb4bac0b242"},"schema_version":"1.0","source":{"id":"1203.6898","kind":"arxiv","version":2}},"canonical_sha256":"65cdb4bfee8075e71acf929d5fb264275bbe322dabd82b6d337ee39d0c9f92af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65cdb4bfee8075e71acf929d5fb264275bbe322dabd82b6d337ee39d0c9f92af","first_computed_at":"2026-05-18T02:47:13.372477Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:13.372477Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j2nDtsxh+nCI1lRxPVpVLI7vN57b862AThiJTj/8wTJRCUlfk1itQHoYT1BQphRDAYYCmFOhhg5w4Ceczai9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:13.372983Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.6898","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3bb75ff6158623c557e316b6e175bb9f7bd1aba9dec4be7eb0e11c7ea391f49","sha256:87456402b2d53c93bd6ced38e2b398538c53c74746d3cc953ddb3e1df295fbb7"],"state_sha256":"4c927143fd2f992289b5b350d3e77e9566c9485353eb675069353c7a6bb1ea7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5WeM6PqcsOsOaSWlxZXjHCnD/ukGwTn3VTEAUlyYRu6au6Ko/JAs934bkX+bXJwy+Q59cBcLG7Cz2k1/YqO7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:25:05.599451Z","bundle_sha256":"12209838c5513824fc6553fb652ecd4bfd59ec9b3095a6b3f5aeb9bebb5c3f53"}}