{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JEJFZA4JUI6APIHDULFIRGNP5R","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":"512c2f5fbde6601d4c4d139c1d96ea795117d3d7ec2f0a666716de5d578365b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-05-28T16:24:21Z","title_canon_sha256":"a54f679fec42e31b306c4530673726de216edfe88c7d68cc548d24363b48d3aa"},"schema_version":"1.0","source":{"id":"1105.5726","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.5726","created_at":"2026-05-18T00:56:57Z"},{"alias_kind":"arxiv_version","alias_value":"1105.5726v4","created_at":"2026-05-18T00:56:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5726","created_at":"2026-05-18T00:56:57Z"},{"alias_kind":"pith_short_12","alias_value":"JEJFZA4JUI6A","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JEJFZA4JUI6APIHD","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JEJFZA4J","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:265af35c76033656ddb03bd6c3bdc266e00d5e28375c8e1d37e1e7f1adc56e79","target":"graph","created_at":"2026-05-18T00:56:57Z","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":"Consider a random walk in a time-dependent random environment on the lattice Zd. Recently, Rassoul-Agha, Seppalainen and Yilmaz [RSY11] proved a general large deviation principle under mild ergodicity assumptions on the random environment for such a random walk, establishing first level 2 and 3 large deviation principles. Here we present two alternative short proofs of the level 1 large deviations under mild ergodicity assumptions on the environment: one for the continuous time case and another one for the discrete time case. Both proofs provide the existence, continuity and convexity of the","authors_text":"Alejandro F. Ramirez, Alexander Drewitz, David Campos, Firas Rassoul-Agha, Timo Seppalainen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-05-28T16:24:21Z","title":"Level 1 quenched large deviation principle for random walk in dynamic random environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5726","kind":"arxiv","version":4},"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:a941cbfb9113a6ef02d9dbf8d2ab09cd29aec8e16a54e0d61ef6d4698c957554","target":"record","created_at":"2026-05-18T00:56:57Z","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":"512c2f5fbde6601d4c4d139c1d96ea795117d3d7ec2f0a666716de5d578365b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-05-28T16:24:21Z","title_canon_sha256":"a54f679fec42e31b306c4530673726de216edfe88c7d68cc548d24363b48d3aa"},"schema_version":"1.0","source":{"id":"1105.5726","kind":"arxiv","version":4}},"canonical_sha256":"49125c8389a23c07a0e3a2ca8899afec5fdf80231b1dee31cb24f2a2160b250f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49125c8389a23c07a0e3a2ca8899afec5fdf80231b1dee31cb24f2a2160b250f","first_computed_at":"2026-05-18T00:56:57.878833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:57.878833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZlQfZSmk+AcEBNnVvtYAU81PbGhjJNdGZ9KTGPVmr+orQgmCdfvcWXaLhTxnfaope8dq+z8syFmIWLXdC+otCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:57.879530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.5726","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a941cbfb9113a6ef02d9dbf8d2ab09cd29aec8e16a54e0d61ef6d4698c957554","sha256:265af35c76033656ddb03bd6c3bdc266e00d5e28375c8e1d37e1e7f1adc56e79"],"state_sha256":"00dda39467c9bf2238b891c79a58fe52746151b285ff62b02793272da6c2f04c"}