{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:C2R4GSJ4Y5BNE6JPPXPWKXCL5O","short_pith_number":"pith:C2R4GSJ4","schema_version":"1.0","canonical_sha256":"16a3c3493cc742d2792f7ddf655c4bebabd6226eb03498ae0ed1f9090d760a1e","source":{"kind":"arxiv","id":"0806.0790","version":3},"attestation_state":"computed","paper":{"title":"On slowdown and speedup of transient random walks in random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fribergh, Nina Gantert, Serguei Popov","submitted_at":"2008-06-04T14:33:10Z","abstract_excerpt":"We consider one-dimensional random walks in random environment which are transient to the right. Our main interest is in the study of the sub-ballistic regime, where at time $n$ the particle is typically at a distance of order $O(n^\\kappa)$ from the origin, $\\kappa\\in(0,1)$. We investigate the probabilities of moderate deviations from this behaviour. Specifically, we are interested in quenched and annealed probabilities of slowdown (at time $n$, the particle is at a distance of order $O(n^{\\nu_0})$ from the origin, $\\nu_0\\in (0,\\kappa)$), and speedup (at time $n$, the particle is at a distance"},"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":"0806.0790","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-06-04T14:33:10Z","cross_cats_sorted":[],"title_canon_sha256":"61b3bf1fe76e5169ed47a1e62992c404458060b6eefd94cb3d7715e2d6733ae6","abstract_canon_sha256":"287c321598f073300f394c6d75b782ee29fc73c883c6a18d3157b18bdf38aef9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:44.113446Z","signature_b64":"v0h/0A2gz/7HvbnmRMt8VMhh9e94LZq7t0+uxXvC2xFGCH0WkUGMVBGzfpPX711nYGSPfrKI0peqb+NubAphAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16a3c3493cc742d2792f7ddf655c4bebabd6226eb03498ae0ed1f9090d760a1e","last_reissued_at":"2026-05-18T04:03:44.112609Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:44.112609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On slowdown and speedup of transient random walks in random environment","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alexander Fribergh, Nina Gantert, Serguei Popov","submitted_at":"2008-06-04T14:33:10Z","abstract_excerpt":"We consider one-dimensional random walks in random environment which are transient to the right. Our main interest is in the study of the sub-ballistic regime, where at time $n$ the particle is typically at a distance of order $O(n^\\kappa)$ from the origin, $\\kappa\\in(0,1)$. We investigate the probabilities of moderate deviations from this behaviour. Specifically, we are interested in quenched and annealed probabilities of slowdown (at time $n$, the particle is at a distance of order $O(n^{\\nu_0})$ from the origin, $\\nu_0\\in (0,\\kappa)$), and speedup (at time $n$, the particle is at a distance"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0790","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":"0806.0790","created_at":"2026-05-18T04:03:44.112759+00:00"},{"alias_kind":"arxiv_version","alias_value":"0806.0790v3","created_at":"2026-05-18T04:03:44.112759+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0790","created_at":"2026-05-18T04:03:44.112759+00:00"},{"alias_kind":"pith_short_12","alias_value":"C2R4GSJ4Y5BN","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"C2R4GSJ4Y5BNE6JP","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"C2R4GSJ4","created_at":"2026-05-18T12:25:57.157939+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/C2R4GSJ4Y5BNE6JPPXPWKXCL5O","json":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O.json","graph_json":"https://pith.science/api/pith-number/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/graph.json","events_json":"https://pith.science/api/pith-number/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/events.json","paper":"https://pith.science/paper/C2R4GSJ4"},"agent_actions":{"view_html":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O","download_json":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O.json","view_paper":"https://pith.science/paper/C2R4GSJ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0806.0790&json=true","fetch_graph":"https://pith.science/api/pith-number/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/graph.json","fetch_events":"https://pith.science/api/pith-number/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/action/storage_attestation","attest_author":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/action/author_attestation","sign_citation":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/action/citation_signature","submit_replication":"https://pith.science/pith/C2R4GSJ4Y5BNE6JPPXPWKXCL5O/action/replication_record"}},"created_at":"2026-05-18T04:03:44.112759+00:00","updated_at":"2026-05-18T04:03:44.112759+00:00"}