{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XASL5YPV6QIVRWMYSHCX5N2ER5","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":"13457063e9ec4303fd07bff7596e703b41157a368e55496016883de35a838d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-08-21T00:57:13Z","title_canon_sha256":"4bfdd655f89d4e2b081752c8e1d38864ff43a2aece23b3af5627ceec1b7be16d"},"schema_version":"1.0","source":{"id":"1208.4152","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.4152","created_at":"2026-05-18T03:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"1208.4152v1","created_at":"2026-05-18T03:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4152","created_at":"2026-05-18T03:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"XASL5YPV6QIV","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XASL5YPV6QIVRWMY","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XASL5YPV","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:d71a3befc7c2573592e816b74d840fe0924266e1eacf6c91589dc033635c6c8e","target":"graph","created_at":"2026-05-18T03:48:24Z","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":"Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the $\\Lambda$-Fleming-Viot process with underlying Brownian motion has a compact support provided that the corresponding $\\Lambda$-coalescent comes down from infinity not too slowly. We also find both upper bound and lower bound on the Hausdorff dimension for the support.","authors_text":"Huili Liu, Xiaowen Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-08-21T00:57:13Z","title":"The compact support property for the $\\Lambda$-Fleming-Viot process with underlying Brownian motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4152","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":"sha256:26655b975f9047cebe9f9e8719c97154c1d3311fbe8b5e59ed4764c97e00e517","target":"record","created_at":"2026-05-18T03:48:24Z","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":"13457063e9ec4303fd07bff7596e703b41157a368e55496016883de35a838d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-08-21T00:57:13Z","title_canon_sha256":"4bfdd655f89d4e2b081752c8e1d38864ff43a2aece23b3af5627ceec1b7be16d"},"schema_version":"1.0","source":{"id":"1208.4152","kind":"arxiv","version":1}},"canonical_sha256":"b824bee1f5f41158d99891c57eb7448f56a00ddcb5143ae7adf052c3787ca1c9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b824bee1f5f41158d99891c57eb7448f56a00ddcb5143ae7adf052c3787ca1c9","first_computed_at":"2026-05-18T03:48:24.872291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:24.872291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TtUFsJtvHMJ3j7iBDxyuR7n7uZqieuKfE/folkY9ADBqo68Hgmwlo+/U0it195TYFBYt5SorhuiW2/m2m0IwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:24.873115Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.4152","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26655b975f9047cebe9f9e8719c97154c1d3311fbe8b5e59ed4764c97e00e517","sha256:d71a3befc7c2573592e816b74d840fe0924266e1eacf6c91589dc033635c6c8e"],"state_sha256":"689b78c02b3d000673a50890f1947dde6c11fc1b231c13551cd27f453dbcb30c"}