{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IUCTKRLRZE4YHLFPYP7CDO4VRN","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":"b1c102e3d2a2e82b843af65a4b9ed27fedb3fc4171a670fef02860d8d9067730","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-03-11T17:33:22Z","title_canon_sha256":"2e739fd74af4636fde3dfc3ea7ab6611b6ee2ffc0e4630ec6dc05d3b4d52cf0a"},"schema_version":"1.0","source":{"id":"1103.2322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.2322","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"arxiv_version","alias_value":"1103.2322v1","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.2322","created_at":"2026-05-18T04:26:55Z"},{"alias_kind":"pith_short_12","alias_value":"IUCTKRLRZE4Y","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IUCTKRLRZE4YHLFP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IUCTKRLR","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:5c37b7815d40d2ec309508394745b2a52dfbef532dbb7b141a7c6bc0fbb2aca7","target":"graph","created_at":"2026-05-18T04:26:55Z","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":"We prove that the extremal process of branching Brownian motion, in the limit of large times, converges weakly to a cluster point process. The limiting process is a (randomly shifted) Poisson cluster process, where the positions of the clusters is a Poisson process with exponential density. The law of the individual clusters is characterized as branching Brownian motions conditioned to perform \"unusually large displacements\", and its existence is proved. The proof combines three main ingredients. First, the results of Bramson on the convergence of solutions of the Kolmogorov-Petrovsky-Piscouno","authors_text":"Anton Bovier, Louis-Pierre Arguin, Nicola Kistler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-03-11T17:33:22Z","title":"The Extremal Process of Branching Brownian Motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.2322","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":"sha256:32d48f7332bcca1a36023432a42171cc3beb7119010511ecf1e51190d56edb14","target":"record","created_at":"2026-05-18T04:26:55Z","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":"b1c102e3d2a2e82b843af65a4b9ed27fedb3fc4171a670fef02860d8d9067730","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-03-11T17:33:22Z","title_canon_sha256":"2e739fd74af4636fde3dfc3ea7ab6611b6ee2ffc0e4630ec6dc05d3b4d52cf0a"},"schema_version":"1.0","source":{"id":"1103.2322","kind":"arxiv","version":1}},"canonical_sha256":"4505354571c93983acafc3fe21bb958b41682cea6133b0cb354b37058583f4d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4505354571c93983acafc3fe21bb958b41682cea6133b0cb354b37058583f4d3","first_computed_at":"2026-05-18T04:26:55.840430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:55.840430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jzgl5b06jhO7WqBLYcvagVrLlgH5q2yP55Xrja5DRVdAXd46vKuoALSbSqahKvRIegl4IRnj5PA2yOUkI1QgAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:55.841069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.2322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32d48f7332bcca1a36023432a42171cc3beb7119010511ecf1e51190d56edb14","sha256:5c37b7815d40d2ec309508394745b2a52dfbef532dbb7b141a7c6bc0fbb2aca7"],"state_sha256":"db96d092c7d8643d095c67b4369493a0196d3832595ca5636fa86dd77b224c3b"}