{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VEBXHP2MZRYBPF647BOALEQJPF","short_pith_number":"pith:VEBXHP2M","schema_version":"1.0","canonical_sha256":"a90373bf4ccc701797dcf85c05920979741e49d7e7ec1f158f0997d5b237f7e1","source":{"kind":"arxiv","id":"1304.0622","version":3},"attestation_state":"computed","paper":{"title":"Extinction time for a random walk in a random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anna De Masi, Dimitrios Tsagkarogiannis, Errico Presutti, Maria Eulalia Vares","submitted_at":"2013-04-02T13:25:41Z","abstract_excerpt":"We consider a random walk with death in $[-N,N]$ moving in a time dependent environment. The environment is a system of particles which describes a current flux from $N$ to $-N$. Its evolution is influenced by the presence of the random walk and in turn it affects the jump rates of the random walk in a neighborhood of the endpoints, determining also the rate for the random walk to die. We prove an upper bound (uniform in $N$) for the survival probability up to time $t$ which goes as $c\\exp\\{-bN^{-2}t\\}$, with $c$ and $b$ positive constants."},"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":"1304.0622","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-04-02T13:25:41Z","cross_cats_sorted":[],"title_canon_sha256":"f74f6d5402a737d2f596d5cc85800fa44fdedd212cb5d30c9b11863dc0d610d6","abstract_canon_sha256":"ddac447d104faa087846a8b35ada243ebb79f5c4998aaa2ac8cd487aa49c721b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:15.898105Z","signature_b64":"IwHK12HKvyBTj4EyW4OavJCTQ8JyGrWglbM0gTzuq+60AkxWy7KguQS+p9Rxc4NyIHb81HhxGtEoiSZqOToWDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a90373bf4ccc701797dcf85c05920979741e49d7e7ec1f158f0997d5b237f7e1","last_reissued_at":"2026-05-18T01:36:15.897672Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:15.897672Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Extinction time for a random walk in a random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anna De Masi, Dimitrios Tsagkarogiannis, Errico Presutti, Maria Eulalia Vares","submitted_at":"2013-04-02T13:25:41Z","abstract_excerpt":"We consider a random walk with death in $[-N,N]$ moving in a time dependent environment. The environment is a system of particles which describes a current flux from $N$ to $-N$. Its evolution is influenced by the presence of the random walk and in turn it affects the jump rates of the random walk in a neighborhood of the endpoints, determining also the rate for the random walk to die. We prove an upper bound (uniform in $N$) for the survival probability up to time $t$ which goes as $c\\exp\\{-bN^{-2}t\\}$, with $c$ and $b$ positive constants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.0622","kind":"arxiv","version":3},"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":"1304.0622","created_at":"2026-05-18T01:36:15.897738+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.0622v3","created_at":"2026-05-18T01:36:15.897738+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.0622","created_at":"2026-05-18T01:36:15.897738+00:00"},{"alias_kind":"pith_short_12","alias_value":"VEBXHP2MZRYB","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VEBXHP2MZRYBPF64","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VEBXHP2M","created_at":"2026-05-18T12:28:04.890932+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/VEBXHP2MZRYBPF647BOALEQJPF","json":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF.json","graph_json":"https://pith.science/api/pith-number/VEBXHP2MZRYBPF647BOALEQJPF/graph.json","events_json":"https://pith.science/api/pith-number/VEBXHP2MZRYBPF647BOALEQJPF/events.json","paper":"https://pith.science/paper/VEBXHP2M"},"agent_actions":{"view_html":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF","download_json":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF.json","view_paper":"https://pith.science/paper/VEBXHP2M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.0622&json=true","fetch_graph":"https://pith.science/api/pith-number/VEBXHP2MZRYBPF647BOALEQJPF/graph.json","fetch_events":"https://pith.science/api/pith-number/VEBXHP2MZRYBPF647BOALEQJPF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF/action/storage_attestation","attest_author":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF/action/author_attestation","sign_citation":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF/action/citation_signature","submit_replication":"https://pith.science/pith/VEBXHP2MZRYBPF647BOALEQJPF/action/replication_record"}},"created_at":"2026-05-18T01:36:15.897738+00:00","updated_at":"2026-05-18T01:36:15.897738+00:00"}