{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:L5EUOGWE6IB6HGMYTBOJXUEV3K","short_pith_number":"pith:L5EUOGWE","schema_version":"1.0","canonical_sha256":"5f49471ac4f203e39998985c9bd095dab9953fc61eec1f0446ada5e81fd9ab59","source":{"kind":"arxiv","id":"2412.15820","version":2},"attestation_state":"computed","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"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"},"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"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2412.15820","created_at":"2026-06-09T02:07:01.491388+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.15820v2","created_at":"2026-06-09T02:07:01.491388+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.15820","created_at":"2026-06-09T02:07:01.491388+00:00"},{"alias_kind":"pith_short_12","alias_value":"L5EUOGWE6IB6","created_at":"2026-06-09T02:07:01.491388+00:00"},{"alias_kind":"pith_short_16","alias_value":"L5EUOGWE6IB6HGMY","created_at":"2026-06-09T02:07:01.491388+00:00"},{"alias_kind":"pith_short_8","alias_value":"L5EUOGWE","created_at":"2026-06-09T02:07:01.491388+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K","json":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K.json","graph_json":"https://pith.science/api/pith-number/L5EUOGWE6IB6HGMYTBOJXUEV3K/graph.json","events_json":"https://pith.science/api/pith-number/L5EUOGWE6IB6HGMYTBOJXUEV3K/events.json","paper":"https://pith.science/paper/L5EUOGWE"},"agent_actions":{"view_html":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K","download_json":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K.json","view_paper":"https://pith.science/paper/L5EUOGWE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.15820&json=true","fetch_graph":"https://pith.science/api/pith-number/L5EUOGWE6IB6HGMYTBOJXUEV3K/graph.json","fetch_events":"https://pith.science/api/pith-number/L5EUOGWE6IB6HGMYTBOJXUEV3K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/action/storage_attestation","attest_author":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/action/author_attestation","sign_citation":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/action/citation_signature","submit_replication":"https://pith.science/pith/L5EUOGWE6IB6HGMYTBOJXUEV3K/action/replication_record"}},"created_at":"2026-06-09T02:07:01.491388+00:00","updated_at":"2026-06-09T02:07:01.491388+00:00"}