{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VJ6ITD7THXWEGBLAFRK22LR6SW","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":"7cfedae72ee002884fd3a3e90499ae52ff3334f54aa5e9f248592b27dd013718","cross_cats_sorted":["cond-mat.stat-mech","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-06T20:28:02Z","title_canon_sha256":"8d82df964df0148ca9a1db66ff78c690446a2055566ac0617e7b00bf26ff8cbc"},"schema_version":"1.0","source":{"id":"1311.1488","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1488","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1488v1","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1488","created_at":"2026-05-18T02:20:47Z"},{"alias_kind":"pith_short_12","alias_value":"VJ6ITD7THXWE","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VJ6ITD7THXWEGBLA","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VJ6ITD7T","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:85f5d6227c3b861cf459cb1b17e0b3e84e1352c428b1319ab5e12b4fa43056e3","target":"graph","created_at":"2026-05-18T02:20:47Z","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 consider a system of $N$ particles on the real line that evolves through iteration of the following steps: 1) every particle splits into two, 2) each particle jumps according to a prescribed displacement distribution supported on the positive reals and 3) only the $N$ right-most particles are retained, the others being removed from the system. This system has been introduced in the physics literature as an example of a microscopic stochastic model describing the propagation of a front. Its behavior for large $N$ is now well understood -- both from a physical and mathematical viewpoint -- in","authors_text":"Jean B\\'erard, Pascal Maillard","cross_cats":["cond-mat.stat-mech","math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-06T20:28:02Z","title":"The limiting process of $N$-particle branching random walk with polynomial tails"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1488","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:a2de30c0d5b0dfd1d09b26ce9bad78af50f5aac95800bd2079548de227892413","target":"record","created_at":"2026-05-18T02:20:47Z","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":"7cfedae72ee002884fd3a3e90499ae52ff3334f54aa5e9f248592b27dd013718","cross_cats_sorted":["cond-mat.stat-mech","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-11-06T20:28:02Z","title_canon_sha256":"8d82df964df0148ca9a1db66ff78c690446a2055566ac0617e7b00bf26ff8cbc"},"schema_version":"1.0","source":{"id":"1311.1488","kind":"arxiv","version":1}},"canonical_sha256":"aa7c898ff33dec4305602c55ad2e3e95ba389cacf8f2c2cedb03d378d86ba0be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa7c898ff33dec4305602c55ad2e3e95ba389cacf8f2c2cedb03d378d86ba0be","first_computed_at":"2026-05-18T02:20:47.686213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:47.686213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lnsSnfRWilHt503LQYNbF8a/R7y7FEIWAtnBKxtUTao9BYvAELIvGkns7jxVdYk91+MTUmgpXRM9+JmMQfNoDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:47.686920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1488","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2de30c0d5b0dfd1d09b26ce9bad78af50f5aac95800bd2079548de227892413","sha256:85f5d6227c3b861cf459cb1b17e0b3e84e1352c428b1319ab5e12b4fa43056e3"],"state_sha256":"6ec4c6186979ac088779f5c9881b9cba23b8f5618c471f071b1893f216f92450"}