{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QRPCX54J5TUEZF3Z6T4IGLV6RC","short_pith_number":"pith:QRPCX54J","schema_version":"1.0","canonical_sha256":"845e2bf789ece84c9779f4f8832ebe88a8e31a4dba696e483dac35e428c364ac","source":{"kind":"arxiv","id":"1411.5646","version":2},"attestation_state":"computed","paper":{"title":"Point process convergence for branching random walks with regularly varying steps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ayan Bhattacharya, Parthanil Roy, Rajat Subhra Hazra","submitted_at":"2014-11-20T19:27:13Z","abstract_excerpt":"We consider the limiting behaviour of the point processes associated with a branching random walk with supercritical branching mechanism and balanced regularly varying step size. Assuming that the underlying branching process satisfies Kesten-Stigum condition, it is shown that the point process sequence of properly scaled displacements coming from the n-th generation converges weakly to a Cox cluster process. In particular, we establish that a conjecture of Brunet and Derrida (2011) remains valid in this setup, investigate various other issues mentioned in their paper and recover the main resu"},"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":"1411.5646","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-11-20T19:27:13Z","cross_cats_sorted":[],"title_canon_sha256":"4eb52e706d4670dbf20f296f0b6d37e2e852fb180b9723aabd5ee272985f629a","abstract_canon_sha256":"b34105dcabce9db8293b0357b4ad1e184f48008e5ca8689a7233872d16460e30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:29.586334Z","signature_b64":"GS/3PprtQpmC/a9oWh7gRMKbdRyXBHXSyP7t2ULrcigo+EwpXUCEX+v77GTErVxCaSgxIUa228OkoL0DqYHOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"845e2bf789ece84c9779f4f8832ebe88a8e31a4dba696e483dac35e428c364ac","last_reissued_at":"2026-05-18T01:23:29.585592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:29.585592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Point process convergence for branching random walks with regularly varying steps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ayan Bhattacharya, Parthanil Roy, Rajat Subhra Hazra","submitted_at":"2014-11-20T19:27:13Z","abstract_excerpt":"We consider the limiting behaviour of the point processes associated with a branching random walk with supercritical branching mechanism and balanced regularly varying step size. Assuming that the underlying branching process satisfies Kesten-Stigum condition, it is shown that the point process sequence of properly scaled displacements coming from the n-th generation converges weakly to a Cox cluster process. In particular, we establish that a conjecture of Brunet and Derrida (2011) remains valid in this setup, investigate various other issues mentioned in their paper and recover the main resu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5646","kind":"arxiv","version":2},"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":"1411.5646","created_at":"2026-05-18T01:23:29.585726+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.5646v2","created_at":"2026-05-18T01:23:29.585726+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5646","created_at":"2026-05-18T01:23:29.585726+00:00"},{"alias_kind":"pith_short_12","alias_value":"QRPCX54J5TUE","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QRPCX54J5TUEZF3Z","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QRPCX54J","created_at":"2026-05-18T12:28:46.137349+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC","json":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC.json","graph_json":"https://pith.science/api/pith-number/QRPCX54J5TUEZF3Z6T4IGLV6RC/graph.json","events_json":"https://pith.science/api/pith-number/QRPCX54J5TUEZF3Z6T4IGLV6RC/events.json","paper":"https://pith.science/paper/QRPCX54J"},"agent_actions":{"view_html":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC","download_json":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC.json","view_paper":"https://pith.science/paper/QRPCX54J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.5646&json=true","fetch_graph":"https://pith.science/api/pith-number/QRPCX54J5TUEZF3Z6T4IGLV6RC/graph.json","fetch_events":"https://pith.science/api/pith-number/QRPCX54J5TUEZF3Z6T4IGLV6RC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC/action/storage_attestation","attest_author":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC/action/author_attestation","sign_citation":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC/action/citation_signature","submit_replication":"https://pith.science/pith/QRPCX54J5TUEZF3Z6T4IGLV6RC/action/replication_record"}},"created_at":"2026-05-18T01:23:29.585726+00:00","updated_at":"2026-05-18T01:23:29.585726+00:00"}