{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:K6V4FFKJ5WZ3C5YQDC67L2DNUA","short_pith_number":"pith:K6V4FFKJ","schema_version":"1.0","canonical_sha256":"57abc29549edb3b1771018bdf5e86da01a90e47343918c7ded4538f27e124b82","source":{"kind":"arxiv","id":"1003.3726","version":2},"attestation_state":"computed","paper":{"title":"Escape probabilities for branching Brownian motion among mild obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Amandine Veber, Jean-Francois Le Gall","submitted_at":"2010-03-19T06:56:31Z","abstract_excerpt":"We derive asymptotics for the quenched probability that a critical branching Brownian motion killed at a small rate in Poissonian obstacles exits a large domain. Results are formulated in terms of the solution to a semilinear partial differential equation with singular boundary conditions. The proofs depend on a quenched homogenization theorem for branching Brownian motion among mild obstacles."},"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":"1003.3726","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2010-03-19T06:56:31Z","cross_cats_sorted":[],"title_canon_sha256":"0115f96c074b787c34fe664aa5a0a1102d5bb756aafe68bc9f8091a33536d841","abstract_canon_sha256":"daa07637047f9ad62cc039d7736aa1f09e94992a674aadb767071c50c0f9107a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:31.168249Z","signature_b64":"cLUUV8bpCroiSFn7xREoejKMsjOhHcM8/dGO3geSW/kuChNsOXu65zP1TxJZWboNBJ9DQrAY7WhEtjA6Mle+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57abc29549edb3b1771018bdf5e86da01a90e47343918c7ded4538f27e124b82","last_reissued_at":"2026-05-18T04:31:31.167655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:31.167655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Escape probabilities for branching Brownian motion among mild obstacles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Amandine Veber, Jean-Francois Le Gall","submitted_at":"2010-03-19T06:56:31Z","abstract_excerpt":"We derive asymptotics for the quenched probability that a critical branching Brownian motion killed at a small rate in Poissonian obstacles exits a large domain. Results are formulated in terms of the solution to a semilinear partial differential equation with singular boundary conditions. The proofs depend on a quenched homogenization theorem for branching Brownian motion among mild obstacles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.3726","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":"1003.3726","created_at":"2026-05-18T04:31:31.167742+00:00"},{"alias_kind":"arxiv_version","alias_value":"1003.3726v2","created_at":"2026-05-18T04:31:31.167742+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.3726","created_at":"2026-05-18T04:31:31.167742+00:00"},{"alias_kind":"pith_short_12","alias_value":"K6V4FFKJ5WZ3","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_16","alias_value":"K6V4FFKJ5WZ3C5YQ","created_at":"2026-05-18T12:26:09.077623+00:00"},{"alias_kind":"pith_short_8","alias_value":"K6V4FFKJ","created_at":"2026-05-18T12:26:09.077623+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/K6V4FFKJ5WZ3C5YQDC67L2DNUA","json":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA.json","graph_json":"https://pith.science/api/pith-number/K6V4FFKJ5WZ3C5YQDC67L2DNUA/graph.json","events_json":"https://pith.science/api/pith-number/K6V4FFKJ5WZ3C5YQDC67L2DNUA/events.json","paper":"https://pith.science/paper/K6V4FFKJ"},"agent_actions":{"view_html":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA","download_json":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA.json","view_paper":"https://pith.science/paper/K6V4FFKJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1003.3726&json=true","fetch_graph":"https://pith.science/api/pith-number/K6V4FFKJ5WZ3C5YQDC67L2DNUA/graph.json","fetch_events":"https://pith.science/api/pith-number/K6V4FFKJ5WZ3C5YQDC67L2DNUA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA/action/storage_attestation","attest_author":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA/action/author_attestation","sign_citation":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA/action/citation_signature","submit_replication":"https://pith.science/pith/K6V4FFKJ5WZ3C5YQDC67L2DNUA/action/replication_record"}},"created_at":"2026-05-18T04:31:31.167742+00:00","updated_at":"2026-05-18T04:31:31.167742+00:00"}