{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:L5EUOGWE6IB6HGMYTBOJXUEV3K","short_pith_number":"pith:L5EUOGWE","canonical_record":{"source":{"id":"2412.15820","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-20T12:02:33Z","cross_cats_sorted":[],"title_canon_sha256":"9a8bfbc7c90d59bdfdcdbd4208112745003569bd58312d517f0f25f7cfae9672","abstract_canon_sha256":"36d193117f6254fe66a69426f72f919b22d44192e768f9978dac624932082de3"},"schema_version":"1.0"},"canonical_sha256":"5f49471ac4f203e39998985c9bd095dab9953fc61eec1f0446ada5e81fd9ab59","source":{"kind":"arxiv","id":"2412.15820","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.15820","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"arxiv_version","alias_value":"2412.15820v2","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15820","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"pith_short_12","alias_value":"L5EUOGWE6IB6","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"pith_short_16","alias_value":"L5EUOGWE6IB6HGMY","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"pith_short_8","alias_value":"L5EUOGWE","created_at":"2026-06-09T02:07:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:L5EUOGWE6IB6HGMYTBOJXUEV3K","target":"record","payload":{"canonical_record":{"source":{"id":"2412.15820","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-20T12:02:33Z","cross_cats_sorted":[],"title_canon_sha256":"9a8bfbc7c90d59bdfdcdbd4208112745003569bd58312d517f0f25f7cfae9672","abstract_canon_sha256":"36d193117f6254fe66a69426f72f919b22d44192e768f9978dac624932082de3"},"schema_version":"1.0"},"canonical_sha256":"5f49471ac4f203e39998985c9bd095dab9953fc61eec1f0446ada5e81fd9ab59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:07:01.492094Z","signature_b64":"I2cIVYGKtjp6/IVLQfAP9OiotVOkDkqZJLZk22xgsJjpG+JTQoP2dwcUKxBsE4HjFBMpTXgJeP0AIKXjlCvOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f49471ac4f203e39998985c9bd095dab9953fc61eec1f0446ada5e81fd9ab59","last_reissued_at":"2026-06-09T02:07:01.491273Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:07:01.491273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.15820","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":"2026-06-09T02:07:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8mM4TPlFOrDVuqA4NksSYZT4R8R+oHNSZwWiHUCg6UMauYhLt1qA9rxUVu181VxvOSkCQYGrMsTxeffcM+0JCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:35:55.229484Z"},"content_sha256":"4dee67c607352a862ac54bc4c56fbb7471535774fdf99ce16ed6893faa1d011a","schema_version":"1.0","event_id":"sha256:4dee67c607352a862ac54bc4c56fbb7471535774fdf99ce16ed6893faa1d011a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:L5EUOGWE6IB6HGMYTBOJXUEV3K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The particle approximation of quasi-stationary distributions: concentration bounds in the uniform case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lucas Journel, Mathias Rousset","submitted_at":"2024-12-20T12:02:33Z","abstract_excerpt":"We study mean-field particle approximations of normalized Feynman-Kac semi-groups, usually called Fleming-Viot or Feynman-Kac particle systems. Assuming various large time stability properties of the semi-group uniformly in the initial condition, we provide explicit time-uniform $L^p$ and exponential bounds (a new result) with the expected rate in terms of sample size. This work is based on a stochastic backward error analysis (similar to the classical concept of numerical analysis) of the measure-valued Markov particle estimator, an approach that simplifies methods previously used for time-un"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.15820","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/2412.15820/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":"2026-06-09T02:07:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a1iNc1vRU22WQ3RARcD0pIsnE5FbM14s/KLZ0HsFLaQBKNpJ2kLMPRf4I2Qz8+IdZfdaq6ErBEKpoavQWgfuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T16:35:55.229850Z"},"content_sha256":"ec53872e7409768386ca4817f635e4be165f631534c7b3321f6d3089cf776067","schema_version":"1.0","event_id":"sha256:ec53872e7409768386ca4817f635e4be165f631534c7b3321f6d3089cf776067"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/bundle.json","state_url":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/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":"2026-06-22T16:35:55Z","links":{"resolver":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K","bundle":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/bundle.json","state":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:L5EUOGWE6IB6HGMYTBOJXUEV3K","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":"36d193117f6254fe66a69426f72f919b22d44192e768f9978dac624932082de3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-20T12:02:33Z","title_canon_sha256":"9a8bfbc7c90d59bdfdcdbd4208112745003569bd58312d517f0f25f7cfae9672"},"schema_version":"1.0","source":{"id":"2412.15820","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.15820","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"arxiv_version","alias_value":"2412.15820v2","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15820","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"pith_short_12","alias_value":"L5EUOGWE6IB6","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"pith_short_16","alias_value":"L5EUOGWE6IB6HGMY","created_at":"2026-06-09T02:07:01Z"},{"alias_kind":"pith_short_8","alias_value":"L5EUOGWE","created_at":"2026-06-09T02:07:01Z"}],"graph_snapshots":[{"event_id":"sha256:ec53872e7409768386ca4817f635e4be165f631534c7b3321f6d3089cf776067","target":"graph","created_at":"2026-06-09T02:07:01Z","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/2412.15820/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study mean-field particle approximations of normalized Feynman-Kac semi-groups, usually called Fleming-Viot or Feynman-Kac particle systems. Assuming various large time stability properties of the semi-group uniformly in the initial condition, we provide explicit time-uniform $L^p$ and exponential bounds (a new result) with the expected rate in terms of sample size. This work is based on a stochastic backward error analysis (similar to the classical concept of numerical analysis) of the measure-valued Markov particle estimator, an approach that simplifies methods previously used for time-un","authors_text":"Lucas Journel, Mathias Rousset","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-20T12:02:33Z","title":"The particle approximation of quasi-stationary distributions: concentration bounds in the uniform case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.15820","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":"sha256:4dee67c607352a862ac54bc4c56fbb7471535774fdf99ce16ed6893faa1d011a","target":"record","created_at":"2026-06-09T02:07:01Z","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":"36d193117f6254fe66a69426f72f919b22d44192e768f9978dac624932082de3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-12-20T12:02:33Z","title_canon_sha256":"9a8bfbc7c90d59bdfdcdbd4208112745003569bd58312d517f0f25f7cfae9672"},"schema_version":"1.0","source":{"id":"2412.15820","kind":"arxiv","version":2}},"canonical_sha256":"5f49471ac4f203e39998985c9bd095dab9953fc61eec1f0446ada5e81fd9ab59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f49471ac4f203e39998985c9bd095dab9953fc61eec1f0446ada5e81fd9ab59","first_computed_at":"2026-06-09T02:07:01.491273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:07:01.491273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I2cIVYGKtjp6/IVLQfAP9OiotVOkDkqZJLZk22xgsJjpG+JTQoP2dwcUKxBsE4HjFBMpTXgJeP0AIKXjlCvOCw==","signature_status":"signed_v1","signed_at":"2026-06-09T02:07:01.492094Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.15820","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4dee67c607352a862ac54bc4c56fbb7471535774fdf99ce16ed6893faa1d011a","sha256:ec53872e7409768386ca4817f635e4be165f631534c7b3321f6d3089cf776067"],"state_sha256":"2fb2f0de53442e9cddd150eb473b83d1f29728325839783afda8a02e01f57db1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lfomtCBLBDMxwR3kSqUKR6J27tNGnqKMDJ2b2nioYPtyRXcY9NVCFFXuLkSN5COQeQMwuz5j2Gw9DFnE7BuAAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T16:35:55.231863Z","bundle_sha256":"7a2044323aef786504f6b7e1a86d2e326ba5b71f877d54449a9d88a42d66e2d0"}}