{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:C2R4GSJ4Y5BNE6JPPXPWKXCL5O","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"287c321598f073300f394c6d75b782ee29fc73c883c6a18d3157b18bdf38aef9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-06-04T14:33:10Z","title_canon_sha256":"61b3bf1fe76e5169ed47a1e62992c404458060b6eefd94cb3d7715e2d6733ae6"},"schema_version":"1.0","source":{"id":"0806.0790","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0806.0790","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"0806.0790v3","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0790","created_at":"2026-05-18T04:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"C2R4GSJ4Y5BN","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"C2R4GSJ4Y5BNE6JP","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"C2R4GSJ4","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:77e3d06ec10e2695dfbc47889b7c9b135d11c6b62e07511ee83607f2e764f5b0","target":"graph","created_at":"2026-05-18T04:03:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Alexander Fribergh, Nina Gantert, Serguei Popov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-06-04T14:33:10Z","title":"On slowdown and speedup of transient random walks in random environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0790","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:59c7370538a19a16cf532e455194d874230e6db5b37a9e7f751ebf1be4a839ca","target":"record","created_at":"2026-05-18T04:03:44Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"287c321598f073300f394c6d75b782ee29fc73c883c6a18d3157b18bdf38aef9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2008-06-04T14:33:10Z","title_canon_sha256":"61b3bf1fe76e5169ed47a1e62992c404458060b6eefd94cb3d7715e2d6733ae6"},"schema_version":"1.0","source":{"id":"0806.0790","kind":"arxiv","version":3}},"canonical_sha256":"16a3c3493cc742d2792f7ddf655c4bebabd6226eb03498ae0ed1f9090d760a1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16a3c3493cc742d2792f7ddf655c4bebabd6226eb03498ae0ed1f9090d760a1e","first_computed_at":"2026-05-18T04:03:44.112609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:44.112609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v0h/0A2gz/7HvbnmRMt8VMhh9e94LZq7t0+uxXvC2xFGCH0WkUGMVBGzfpPX711nYGSPfrKI0peqb+NubAphAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:44.113446Z","signed_message":"canonical_sha256_bytes"},"source_id":"0806.0790","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59c7370538a19a16cf532e455194d874230e6db5b37a9e7f751ebf1be4a839ca","sha256:77e3d06ec10e2695dfbc47889b7c9b135d11c6b62e07511ee83607f2e764f5b0"],"state_sha256":"4e36b8a9f375abca136e2f62aca96cb569287bc740cc112d1c0819fabe1245fb"}