{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:EYQCXDK2XHQYAGHHK44LNEY7HM","short_pith_number":"pith:EYQCXDK2","canonical_record":{"source":{"id":"1611.03177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-11-10T03:45:34Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1d06aa7cab4c9988103492f76cbbe9a8bf3be1f4c84504c05c2c0b8d0364b940","abstract_canon_sha256":"2301911d087f5670f1e2c8ddddaf75ce8c55f70a0e32bf35da78c5fd1ac29f9f"},"schema_version":"1.0"},"canonical_sha256":"26202b8d5ab9e18018e75738b6931f3b1c7cf5a1c46148f3343009cbece88e3e","source":{"kind":"arxiv","id":"1611.03177","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03177","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03177v1","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03177","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"EYQCXDK2XHQY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EYQCXDK2XHQYAGHH","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EYQCXDK2","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:EYQCXDK2XHQYAGHHK44LNEY7HM","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03177","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-11-10T03:45:34Z","cross_cats_sorted":["math.PR"],"title_canon_sha256":"1d06aa7cab4c9988103492f76cbbe9a8bf3be1f4c84504c05c2c0b8d0364b940","abstract_canon_sha256":"2301911d087f5670f1e2c8ddddaf75ce8c55f70a0e32bf35da78c5fd1ac29f9f"},"schema_version":"1.0"},"canonical_sha256":"26202b8d5ab9e18018e75738b6931f3b1c7cf5a1c46148f3343009cbece88e3e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:41.103461Z","signature_b64":"XFmaQTuen4VCHTfkWH/RRlG5Fv8HSAaDQbEx238N/u9OIIf3hjCpKJBLyxw+NmXLNd8eHB84ObovkEG5qOp/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"26202b8d5ab9e18018e75738b6931f3b1c7cf5a1c46148f3343009cbece88e3e","last_reissued_at":"2026-05-18T00:59:41.102747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:41.102747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03177","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WmrMfjSsiBxaVFFDLKS7TYX/6gK0BOcoK0gKqlCEeIYem3cvHPWqH85LW7wJ+HI+oq6KzhBnGxu7u6rXYyLYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:13:41.216499Z"},"content_sha256":"31b57cf220de9ed27b1dde3038068e145e6d57ad2c055f42d264cadaa1cdcbc8","schema_version":"1.0","event_id":"sha256:31b57cf220de9ed27b1dde3038068e145e6d57ad2c055f42d264cadaa1cdcbc8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:EYQCXDK2XHQYAGHHK44LNEY7HM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on Random Walks with Absorbing barriers and Sequential Monte Carlo Methods","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"stat.CO","authors_text":"Ajay Jasra, Pierre Del Moral","submitted_at":"2016-11-10T03:45:34Z","abstract_excerpt":"In this article we consider importance sampling (IS) and sequential Monte Carlo (SMC) methods in the context of 1-dimensional random walks with absorbing barriers. In particular, we develop a very precise variance analysis for several IS and SMC procedures. We take advantage of some explicit spectral formulae available for these models to derive sharp and explicit estimates; this provides stability properties of the associated normalized Feynman-Kac semigroups. Our analysis allows one to compare the variance of SMC and IS techniques for these models. The work in this article, is one of the few"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03177","kind":"arxiv","version":1},"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":"2026-05-18T00:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jzG5gb4/l1xKOn7hNSOr5TBK2FNPiaorGxS9jjqG+BrcifTOzQuxKWpu8IwgxP0VExzLCz54aMiREX7HrSZ+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T14:13:41.216852Z"},"content_sha256":"02e8e087405ebf48a4544ef5c542d2df63d162487714f9b0e8b9eed7b22cbf55","schema_version":"1.0","event_id":"sha256:02e8e087405ebf48a4544ef5c542d2df63d162487714f9b0e8b9eed7b22cbf55"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EYQCXDK2XHQYAGHHK44LNEY7HM/bundle.json","state_url":"https://pith.science/pith/EYQCXDK2XHQYAGHHK44LNEY7HM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EYQCXDK2XHQYAGHHK44LNEY7HM/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":"2026-05-28T14:13:41Z","links":{"resolver":"https://pith.science/pith/EYQCXDK2XHQYAGHHK44LNEY7HM","bundle":"https://pith.science/pith/EYQCXDK2XHQYAGHHK44LNEY7HM/bundle.json","state":"https://pith.science/pith/EYQCXDK2XHQYAGHHK44LNEY7HM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EYQCXDK2XHQYAGHHK44LNEY7HM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:EYQCXDK2XHQYAGHHK44LNEY7HM","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":"2301911d087f5670f1e2c8ddddaf75ce8c55f70a0e32bf35da78c5fd1ac29f9f","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-11-10T03:45:34Z","title_canon_sha256":"1d06aa7cab4c9988103492f76cbbe9a8bf3be1f4c84504c05c2c0b8d0364b940"},"schema_version":"1.0","source":{"id":"1611.03177","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03177","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03177v1","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03177","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"EYQCXDK2XHQY","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"EYQCXDK2XHQYAGHH","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"EYQCXDK2","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:02e8e087405ebf48a4544ef5c542d2df63d162487714f9b0e8b9eed7b22cbf55","target":"graph","created_at":"2026-05-18T00:59:41Z","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":"In this article we consider importance sampling (IS) and sequential Monte Carlo (SMC) methods in the context of 1-dimensional random walks with absorbing barriers. In particular, we develop a very precise variance analysis for several IS and SMC procedures. We take advantage of some explicit spectral formulae available for these models to derive sharp and explicit estimates; this provides stability properties of the associated normalized Feynman-Kac semigroups. Our analysis allows one to compare the variance of SMC and IS techniques for these models. The work in this article, is one of the few","authors_text":"Ajay Jasra, Pierre Del Moral","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-11-10T03:45:34Z","title":"A Note on Random Walks with Absorbing barriers and Sequential Monte Carlo Methods"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03177","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":"sha256:31b57cf220de9ed27b1dde3038068e145e6d57ad2c055f42d264cadaa1cdcbc8","target":"record","created_at":"2026-05-18T00:59:41Z","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":"2301911d087f5670f1e2c8ddddaf75ce8c55f70a0e32bf35da78c5fd1ac29f9f","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.CO","submitted_at":"2016-11-10T03:45:34Z","title_canon_sha256":"1d06aa7cab4c9988103492f76cbbe9a8bf3be1f4c84504c05c2c0b8d0364b940"},"schema_version":"1.0","source":{"id":"1611.03177","kind":"arxiv","version":1}},"canonical_sha256":"26202b8d5ab9e18018e75738b6931f3b1c7cf5a1c46148f3343009cbece88e3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"26202b8d5ab9e18018e75738b6931f3b1c7cf5a1c46148f3343009cbece88e3e","first_computed_at":"2026-05-18T00:59:41.102747Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:41.102747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XFmaQTuen4VCHTfkWH/RRlG5Fv8HSAaDQbEx238N/u9OIIf3hjCpKJBLyxw+NmXLNd8eHB84ObovkEG5qOp/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:41.103461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03177","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31b57cf220de9ed27b1dde3038068e145e6d57ad2c055f42d264cadaa1cdcbc8","sha256:02e8e087405ebf48a4544ef5c542d2df63d162487714f9b0e8b9eed7b22cbf55"],"state_sha256":"55264e07b46ae8d35a9a6293e7413910aa7a467fbade8d48531e274d8cf300d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bjBtwTPjtqh1krjqHfYk+4EO4sMNQx3LTurqsvVH9hUFWw5pVQYDXPSrUHhE5bxCd9bsmEQlrYjrHs23xm+UDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T14:13:41.218817Z","bundle_sha256":"f2be5b7c675cb40b9e0d6df3796093636a5a19c897b86924461ddd276a4ae68b"}}