{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:MJREQNFWVDB3CRJLQCGRZPE2JW","short_pith_number":"pith:MJREQNFW","canonical_record":{"source":{"id":"0905.1999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-05-13T02:05:50Z","cross_cats_sorted":[],"title_canon_sha256":"0c7deb53f039b7a5c477d8d964b3c08735e04fadb87a257a173f510982dda39e","abstract_canon_sha256":"77b257b4e64b4316b73b043fcf31ff86480b06797ff13f12f565cf52c553b396"},"schema_version":"1.0"},"canonical_sha256":"62624834b6a8c3b1452b808d1cbc9a4dabef3506136773f101574203f4fe219e","source":{"kind":"arxiv","id":"0905.1999","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1999","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1999v1","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1999","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"pith_short_12","alias_value":"MJREQNFWVDB3","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"pith_short_16","alias_value":"MJREQNFWVDB3CRJL","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"pith_short_8","alias_value":"MJREQNFW","created_at":"2026-07-04T15:42:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:MJREQNFWVDB3CRJLQCGRZPE2JW","target":"record","payload":{"canonical_record":{"source":{"id":"0905.1999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-05-13T02:05:50Z","cross_cats_sorted":[],"title_canon_sha256":"0c7deb53f039b7a5c477d8d964b3c08735e04fadb87a257a173f510982dda39e","abstract_canon_sha256":"77b257b4e64b4316b73b043fcf31ff86480b06797ff13f12f565cf52c553b396"},"schema_version":"1.0"},"canonical_sha256":"62624834b6a8c3b1452b808d1cbc9a4dabef3506136773f101574203f4fe219e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:42:27.496921Z","signature_b64":"F+MCmr7mumuyxJlAOyeCUMbrras5uHOW0eLppszNkzhGfz6rJUfizJDKX6kj2qwFVIEWdvTA1P7Vq79bm55HAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62624834b6a8c3b1452b808d1cbc9a4dabef3506136773f101574203f4fe219e","last_reissued_at":"2026-07-04T15:42:27.496570Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:42:27.496570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.1999","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":"2026-07-04T15:42:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"43MQH3L00jejAI6kA90k0QePsYC0CWUxjgy2CkwvRo/70nfH8w40FemEiEZH6M/3to2xPBvHXvwcfuNobi3nAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:28:45.476151Z"},"content_sha256":"8173a16891e646d7fb8d6d0c17c0362dbfc627fe33ecb5499cede3f461e790b2","schema_version":"1.0","event_id":"sha256:8173a16891e646d7fb8d6d0c17c0362dbfc627fe33ecb5499cede3f461e790b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:MJREQNFWVDB3CRJLQCGRZPE2JW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-extinction of a Fleming-Viot particle model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Krzysztof Burdzy, Mariusz Bieniek, Sam Finch","submitted_at":"2009-05-13T02:05:50Z","abstract_excerpt":"We consider a branching particle model in which particles move inside a Euclidean domain according to the following rules. The particles move as independent Brownian motions until one of them hits the boundary. This particle is killed but another randomly chosen particle branches into two particles, to keep the population size constant. We prove that the particle population does not approach the boundary simultaneously in a finite time in some Lipschitz domains. This is used to prove a limit theorem for the empirical distribution of the particle family."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1999","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0905.1999/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":"2026-07-04T15:42:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BUNyJPOtJa7soeB7lhqNVKSltFDlHcakoFJ7aghIXmG0rIB3ER/2ICZJagQf+4aqYKOR/CuHe1Pu7hXMLvH/Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:28:45.476661Z"},"content_sha256":"5d1a709a5179ba8c5a538fbbcac89d1a15c1defe665dcbe13a5a32ab693b20ef","schema_version":"1.0","event_id":"sha256:5d1a709a5179ba8c5a538fbbcac89d1a15c1defe665dcbe13a5a32ab693b20ef"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MJREQNFWVDB3CRJLQCGRZPE2JW/bundle.json","state_url":"https://pith.science/pith/MJREQNFWVDB3CRJLQCGRZPE2JW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MJREQNFWVDB3CRJLQCGRZPE2JW/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":"2026-08-04T22:28:45Z","links":{"resolver":"https://pith.science/pith/MJREQNFWVDB3CRJLQCGRZPE2JW","bundle":"https://pith.science/pith/MJREQNFWVDB3CRJLQCGRZPE2JW/bundle.json","state":"https://pith.science/pith/MJREQNFWVDB3CRJLQCGRZPE2JW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MJREQNFWVDB3CRJLQCGRZPE2JW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:MJREQNFWVDB3CRJLQCGRZPE2JW","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":"77b257b4e64b4316b73b043fcf31ff86480b06797ff13f12f565cf52c553b396","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-05-13T02:05:50Z","title_canon_sha256":"0c7deb53f039b7a5c477d8d964b3c08735e04fadb87a257a173f510982dda39e"},"schema_version":"1.0","source":{"id":"0905.1999","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1999","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1999v1","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1999","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"pith_short_12","alias_value":"MJREQNFWVDB3","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"pith_short_16","alias_value":"MJREQNFWVDB3CRJL","created_at":"2026-07-04T15:42:27Z"},{"alias_kind":"pith_short_8","alias_value":"MJREQNFW","created_at":"2026-07-04T15:42:27Z"}],"graph_snapshots":[{"event_id":"sha256:5d1a709a5179ba8c5a538fbbcac89d1a15c1defe665dcbe13a5a32ab693b20ef","target":"graph","created_at":"2026-07-04T15:42:27Z","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/0905.1999/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a branching particle model in which particles move inside a Euclidean domain according to the following rules. The particles move as independent Brownian motions until one of them hits the boundary. This particle is killed but another randomly chosen particle branches into two particles, to keep the population size constant. We prove that the particle population does not approach the boundary simultaneously in a finite time in some Lipschitz domains. This is used to prove a limit theorem for the empirical distribution of the particle family.","authors_text":"Krzysztof Burdzy, Mariusz Bieniek, Sam Finch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-05-13T02:05:50Z","title":"Non-extinction of a Fleming-Viot particle model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1999","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":"sha256:8173a16891e646d7fb8d6d0c17c0362dbfc627fe33ecb5499cede3f461e790b2","target":"record","created_at":"2026-07-04T15:42:27Z","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":"77b257b4e64b4316b73b043fcf31ff86480b06797ff13f12f565cf52c553b396","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2009-05-13T02:05:50Z","title_canon_sha256":"0c7deb53f039b7a5c477d8d964b3c08735e04fadb87a257a173f510982dda39e"},"schema_version":"1.0","source":{"id":"0905.1999","kind":"arxiv","version":1}},"canonical_sha256":"62624834b6a8c3b1452b808d1cbc9a4dabef3506136773f101574203f4fe219e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62624834b6a8c3b1452b808d1cbc9a4dabef3506136773f101574203f4fe219e","first_computed_at":"2026-07-04T15:42:27.496570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:42:27.496570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F+MCmr7mumuyxJlAOyeCUMbrras5uHOW0eLppszNkzhGfz6rJUfizJDKX6kj2qwFVIEWdvTA1P7Vq79bm55HAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:42:27.496921Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1999","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8173a16891e646d7fb8d6d0c17c0362dbfc627fe33ecb5499cede3f461e790b2","sha256:5d1a709a5179ba8c5a538fbbcac89d1a15c1defe665dcbe13a5a32ab693b20ef"],"state_sha256":"9cc8942680790a2e3cc11f1667bb5a0b9962b9b8eaad766bf93974ad622db53d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YpVRInFQnIZSmgLP4u5jL4/eIGP0I6l3rKUYhIb65fgoYaa2mIfraMSqfaTiFNEtd9PA8a7uI64Db5WlMMvICg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:28:45.480184Z","bundle_sha256":"9f49e39c009b2f880e67326187e3011413ab2146cdcb1d9db65998aa7b305938"}}