{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:CTVNHLUOTW4XUT56FDD3WEHPJM","short_pith_number":"pith:CTVNHLUO","schema_version":"1.0","canonical_sha256":"14ead3ae8e9db97a4fbe28c7bb10ef4b07513f16701eb0d92bee1de3b5e8ae97","source":{"kind":"arxiv","id":"1601.04652","version":1},"attestation_state":"computed","paper":{"title":"Large deviations for the branching Brownian motion in presence of selection or coalescence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Bernard Derrida, Zhan Shi","submitted_at":"2016-01-18T18:49:30Z","abstract_excerpt":"The large deviation function has been known for a long time in the literature for the displacement of the rightmost particle in a branching random walk (BRW), or in a branching Brownian motion (BBM). More recently a number of generalizations of the BBM and of the BRW have been considered where selection or coalescence mechanisms tend to limit the exponential growth of the number of particles. Here we try to estimate the large deviation function of the position of the rightmost particle for several such generalizations: the $L$-BBM, the $N$-BBM, and the CBRW (coalescing branching random walk) w"},"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":"1601.04652","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-01-18T18:49:30Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"title_canon_sha256":"8ff85656fd9c2ee9a247df30b8620241dc8500995fa6da3fe4a0413000bacd70","abstract_canon_sha256":"ed1268f645b92799b167b9d27e1aa3de8cb48cab945284d5495c98f503f27ba8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:56.317197Z","signature_b64":"WBWhV8qoabsD/VbGsF+im9nZJaOtNpVDX2LaqJ+OdxUWQlEH7sLZ9rVmEBoneA5HdlCWlv8Ji70sy69kD2Y9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"14ead3ae8e9db97a4fbe28c7bb10ef4b07513f16701eb0d92bee1de3b5e8ae97","last_reissued_at":"2026-05-18T01:13:56.316747Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:56.316747Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations for the branching Brownian motion in presence of selection or coalescence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP"],"primary_cat":"math-ph","authors_text":"Bernard Derrida, Zhan Shi","submitted_at":"2016-01-18T18:49:30Z","abstract_excerpt":"The large deviation function has been known for a long time in the literature for the displacement of the rightmost particle in a branching random walk (BRW), or in a branching Brownian motion (BBM). More recently a number of generalizations of the BBM and of the BRW have been considered where selection or coalescence mechanisms tend to limit the exponential growth of the number of particles. Here we try to estimate the large deviation function of the position of the rightmost particle for several such generalizations: the $L$-BBM, the $N$-BBM, and the CBRW (coalescing branching random walk) w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04652","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":""},"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":"1601.04652","created_at":"2026-05-18T01:13:56.316806+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.04652v1","created_at":"2026-05-18T01:13:56.316806+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04652","created_at":"2026-05-18T01:13:56.316806+00:00"},{"alias_kind":"pith_short_12","alias_value":"CTVNHLUOTW4X","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_16","alias_value":"CTVNHLUOTW4XUT56","created_at":"2026-05-18T12:30:09.641336+00:00"},{"alias_kind":"pith_short_8","alias_value":"CTVNHLUO","created_at":"2026-05-18T12:30:09.641336+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/CTVNHLUOTW4XUT56FDD3WEHPJM","json":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM.json","graph_json":"https://pith.science/api/pith-number/CTVNHLUOTW4XUT56FDD3WEHPJM/graph.json","events_json":"https://pith.science/api/pith-number/CTVNHLUOTW4XUT56FDD3WEHPJM/events.json","paper":"https://pith.science/paper/CTVNHLUO"},"agent_actions":{"view_html":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM","download_json":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM.json","view_paper":"https://pith.science/paper/CTVNHLUO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.04652&json=true","fetch_graph":"https://pith.science/api/pith-number/CTVNHLUOTW4XUT56FDD3WEHPJM/graph.json","fetch_events":"https://pith.science/api/pith-number/CTVNHLUOTW4XUT56FDD3WEHPJM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM/action/storage_attestation","attest_author":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM/action/author_attestation","sign_citation":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM/action/citation_signature","submit_replication":"https://pith.science/pith/CTVNHLUOTW4XUT56FDD3WEHPJM/action/replication_record"}},"created_at":"2026-05-18T01:13:56.316806+00:00","updated_at":"2026-05-18T01:13:56.316806+00:00"}