{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7QWS242X4XSSWWT6GXLEPPFUXT","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":"dcdf98480679eedf857dc79c978ab258989c380cb1af4d0263af41d7f7017537","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-12-23T21:25:24Z","title_canon_sha256":"be16d634e657cab04cb74e2f787aae1f355c2f7968768b1e5b512664c2b0547a"},"schema_version":"1.0","source":{"id":"1412.7550","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.7550","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"arxiv_version","alias_value":"1412.7550v1","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.7550","created_at":"2026-05-18T02:30:33Z"},{"alias_kind":"pith_short_12","alias_value":"7QWS242X4XSS","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7QWS242X4XSSWWT6","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7QWS242X","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:1ccfeead6063f7b745bab2cf0260c65bad4faa9985788b353ee346c9672fb485","target":"graph","created_at":"2026-05-18T02:30:33Z","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 presents a novel algorithm, the particle-based, rapid incremental smoother (PaRIS), for efficient online approximation of smoothed expectations of additive state functionals in general hidden Markov models. The algorithm, which has a linear computational complexity under weak assumptions and very limited memory requirements, is furnished with a number of convergence results, including a central limit theorem. An interesting feature of PaRIS, which samples on-the-fly from the retrospective dynamics induced by the particle filter, is that it requires two or more backward draws per par","authors_text":"Jimmy Olsson, Johan Westerborn","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-12-23T21:25:24Z","title":"Efficient particle-based online smoothing in general hidden Markov models: the PaRIS algorithm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.7550","kind":"arxiv","version":1},"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:fc1ff4e7c3e24ba420fc5c4a2bf59540a0468ac17da4eac8612eab13aa3a71b7","target":"record","created_at":"2026-05-18T02:30:33Z","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":"dcdf98480679eedf857dc79c978ab258989c380cb1af4d0263af41d7f7017537","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2014-12-23T21:25:24Z","title_canon_sha256":"be16d634e657cab04cb74e2f787aae1f355c2f7968768b1e5b512664c2b0547a"},"schema_version":"1.0","source":{"id":"1412.7550","kind":"arxiv","version":1}},"canonical_sha256":"fc2d2d7357e5e52b5a7e35d647bcb4bcefe79fadfa3d9ec124705732c5deebe7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc2d2d7357e5e52b5a7e35d647bcb4bcefe79fadfa3d9ec124705732c5deebe7","first_computed_at":"2026-05-18T02:30:33.528734Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:33.528734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jz41RUgTtLkFW1QufbkxKT1ZfBY+bgDt5saThyZs71dLVn3zBjgYZjAjBVE8Rjg1DcW91grBKJcfU+0oaLqQCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:33.529225Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.7550","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc1ff4e7c3e24ba420fc5c4a2bf59540a0468ac17da4eac8612eab13aa3a71b7","sha256:1ccfeead6063f7b745bab2cf0260c65bad4faa9985788b353ee346c9672fb485"],"state_sha256":"ca94b89a65a394fa03329f6a4cecfb703192ccbc9aa45da819f55377193dd1f4"}