{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:Y3SAVYXUNOLGHGFARPG3Y7JGUX","short_pith_number":"pith:Y3SAVYXU","schema_version":"1.0","canonical_sha256":"c6e40ae2f46b966398a08bcdbc7d26a5e3549c5a5df4b5c95bb65680c0b26a53","source":{"kind":"arxiv","id":"1507.01277","version":2},"attestation_state":"computed","paper":{"title":"Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J\\'anos Engl\\\"ander, Mehmet \\\"Oz, Mine \\c{C}a\\u{g}lar","submitted_at":"2015-07-05T21:35:59Z","abstract_excerpt":"We study a branching Brownian motion $Z$ in $\\mathbb{R}^d$, among obstacles scattered according to a Poisson random measure with a radially decaying intensity. Obstacles are balls with constant radius and each one works as a trap for the whole motion when hit by a particle. Considering a general offspring distribution, we derive the decay rate of the annealed probability that none of the particles of $Z$ hits a trap, asymptotically in time $t$. This proves to be a rich problem motivating the proof of a more general result about the speed of branching Brownian motion conditioned on non-extincti"},"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":"1507.01277","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-07-05T21:35:59Z","cross_cats_sorted":[],"title_canon_sha256":"623203843999a962715a1b00586bda9e609d53d5082fa197280abb4a0764d365","abstract_canon_sha256":"d46cca20c62a3ed07b157c010c8d1eae7869863835ce7c9f7390b87db03566cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:29.317620Z","signature_b64":"hDOwsasCvAXOvNkjf0jSLUnhHoLuHOpDrpXLxJYvtQCrS+Lom1CPEHvPKA6UNvCKNoJrOzWtE10I8/7nh9NFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6e40ae2f46b966398a08bcdbc7d26a5e3549c5a5df4b5c95bb65680c0b26a53","last_reissued_at":"2026-05-18T00:14:29.316915Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:29.316915Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditional speed of branching Brownian motion, skeleton decomposition and application to random obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"J\\'anos Engl\\\"ander, Mehmet \\\"Oz, Mine \\c{C}a\\u{g}lar","submitted_at":"2015-07-05T21:35:59Z","abstract_excerpt":"We study a branching Brownian motion $Z$ in $\\mathbb{R}^d$, among obstacles scattered according to a Poisson random measure with a radially decaying intensity. Obstacles are balls with constant radius and each one works as a trap for the whole motion when hit by a particle. Considering a general offspring distribution, we derive the decay rate of the annealed probability that none of the particles of $Z$ hits a trap, asymptotically in time $t$. This proves to be a rich problem motivating the proof of a more general result about the speed of branching Brownian motion conditioned on non-extincti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01277","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":"1507.01277","created_at":"2026-05-18T00:14:29.317020+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.01277v2","created_at":"2026-05-18T00:14:29.317020+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.01277","created_at":"2026-05-18T00:14:29.317020+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y3SAVYXUNOLG","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y3SAVYXUNOLGHGFA","created_at":"2026-05-18T12:29:50.041715+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y3SAVYXU","created_at":"2026-05-18T12:29:50.041715+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/Y3SAVYXUNOLGHGFARPG3Y7JGUX","json":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX.json","graph_json":"https://pith.science/api/pith-number/Y3SAVYXUNOLGHGFARPG3Y7JGUX/graph.json","events_json":"https://pith.science/api/pith-number/Y3SAVYXUNOLGHGFARPG3Y7JGUX/events.json","paper":"https://pith.science/paper/Y3SAVYXU"},"agent_actions":{"view_html":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX","download_json":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX.json","view_paper":"https://pith.science/paper/Y3SAVYXU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.01277&json=true","fetch_graph":"https://pith.science/api/pith-number/Y3SAVYXUNOLGHGFARPG3Y7JGUX/graph.json","fetch_events":"https://pith.science/api/pith-number/Y3SAVYXUNOLGHGFARPG3Y7JGUX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX/action/storage_attestation","attest_author":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX/action/author_attestation","sign_citation":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX/action/citation_signature","submit_replication":"https://pith.science/pith/Y3SAVYXUNOLGHGFARPG3Y7JGUX/action/replication_record"}},"created_at":"2026-05-18T00:14:29.317020+00:00","updated_at":"2026-05-18T00:14:29.317020+00:00"}