{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:SU2CTKHIASL2KJM34ZL53AIEQI","short_pith_number":"pith:SU2CTKHI","schema_version":"1.0","canonical_sha256":"953429a8e80497a5259be657dd81048225f79505adbffd304a42be5a12b3058e","source":{"kind":"arxiv","id":"1603.04670","version":1},"attestation_state":"computed","paper":{"title":"Fleming-Viot processes : two explicit examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bertrand Cloez, Marie-No\\'emie Thai","submitted_at":"2016-03-15T13:00:31Z","abstract_excerpt":"The purpose of this paper is to extend the investigation of the Fleming-Viot process in discrete space started in a previous work to two specific examples. The first one corresponds to a random walk on the complete graph. Due to its geometry, we establish several explicit and optimal formulas for the Fleming-Viot process (invariant distribution, correlations, spectral gap). The second example corresponds to a Markov chain in a two state space. In this case, the study of the Fleming-Viot particle system is reduced to the study of birth and death process with quadratic rates."},"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":"1603.04670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-03-15T13:00:31Z","cross_cats_sorted":[],"title_canon_sha256":"d82b99f9f65383ae7ca1e9d0f93018b89ec2ff004a601379e5b351dbadd06022","abstract_canon_sha256":"087faa0aa8ca0e1193be750108f20b1013af8c7e5956b3de1b7d3390b783807c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:04.229721Z","signature_b64":"/0btwDwGIgSZ7MrwdkvutPmLyLWzL5sMCBr8L+dQnRfWjS+ovV0eZIA9SDLEwG+TDdSOuXlmfnJTf0Wjx5PeBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"953429a8e80497a5259be657dd81048225f79505adbffd304a42be5a12b3058e","last_reissued_at":"2026-05-18T01:19:04.229158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:04.229158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fleming-Viot processes : two explicit examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Bertrand Cloez, Marie-No\\'emie Thai","submitted_at":"2016-03-15T13:00:31Z","abstract_excerpt":"The purpose of this paper is to extend the investigation of the Fleming-Viot process in discrete space started in a previous work to two specific examples. The first one corresponds to a random walk on the complete graph. Due to its geometry, we establish several explicit and optimal formulas for the Fleming-Viot process (invariant distribution, correlations, spectral gap). The second example corresponds to a Markov chain in a two state space. In this case, the study of the Fleming-Viot particle system is reduced to the study of birth and death process with quadratic rates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04670","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1603.04670","created_at":"2026-05-18T01:19:04.229257+00:00"},{"alias_kind":"arxiv_version","alias_value":"1603.04670v1","created_at":"2026-05-18T01:19:04.229257+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.04670","created_at":"2026-05-18T01:19:04.229257+00:00"},{"alias_kind":"pith_short_12","alias_value":"SU2CTKHIASL2","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"SU2CTKHIASL2KJM3","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"SU2CTKHI","created_at":"2026-05-18T12:30:44.179134+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.06779","citing_title":"VASR: Variance-Aware Systematic Resampling for Reward-Guided Diffusion","ref_index":37,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06779","citing_title":"VASR: Variance-Aware Systematic Resampling for Reward-Guided Diffusion","ref_index":37,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI","json":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI.json","graph_json":"https://pith.science/api/pith-number/SU2CTKHIASL2KJM34ZL53AIEQI/graph.json","events_json":"https://pith.science/api/pith-number/SU2CTKHIASL2KJM34ZL53AIEQI/events.json","paper":"https://pith.science/paper/SU2CTKHI"},"agent_actions":{"view_html":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI","download_json":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI.json","view_paper":"https://pith.science/paper/SU2CTKHI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1603.04670&json=true","fetch_graph":"https://pith.science/api/pith-number/SU2CTKHIASL2KJM34ZL53AIEQI/graph.json","fetch_events":"https://pith.science/api/pith-number/SU2CTKHIASL2KJM34ZL53AIEQI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI/action/storage_attestation","attest_author":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI/action/author_attestation","sign_citation":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI/action/citation_signature","submit_replication":"https://pith.science/pith/SU2CTKHIASL2KJM34ZL53AIEQI/action/replication_record"}},"created_at":"2026-05-18T01:19:04.229257+00:00","updated_at":"2026-05-18T01:19:04.229257+00:00"}