{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DOB6TV3VJ7N6UD35LBFKRGU3R7","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":"e2871f76d11c2e6843602477881fb4ff5145f3a464a3c2adb522bfd46f52f786","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-06-02T04:58:04Z","title_canon_sha256":"f15a99564fdf8d0b32617bda66e5b6f44146eef5f2eb46a3e98f00971ed8f71a"},"schema_version":"1.0","source":{"id":"2506.01316","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01316","created_at":"2026-07-05T11:14:11Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01316v1","created_at":"2026-07-05T11:14:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01316","created_at":"2026-07-05T11:14:11Z"},{"alias_kind":"pith_short_12","alias_value":"DOB6TV3VJ7N6","created_at":"2026-07-05T11:14:11Z"},{"alias_kind":"pith_short_16","alias_value":"DOB6TV3VJ7N6UD35","created_at":"2026-07-05T11:14:11Z"},{"alias_kind":"pith_short_8","alias_value":"DOB6TV3V","created_at":"2026-07-05T11:14:11Z"}],"graph_snapshots":[{"event_id":"sha256:968f79be69431bd19112a9774c668d2ab10e2142a9eb87f1004eb2026fe45e1c","target":"graph","created_at":"2026-07-05T11:14:11Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2506.01316/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quenched and annealed large deviations of the random walk in random environment are shown to conform on any compact set whenever the level of disorder is sufficiently low. In this work, we show that these two large deviations always disagree at some interior point of the natural domain of the random walk in strongly mixing environment, regardless of the level of disorder.","authors_text":"Jiaming Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-06-02T04:58:04Z","title":"Non-conformality of large deviations of moving average of the random walk in strongly mixing environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01316","kind":"arxiv","version":1},"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":"sha256:59057c21b812703b71956a9db6b9fa11389ef17a8e69a64d307ba776de719c92","target":"record","created_at":"2026-07-05T11:14:11Z","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":"e2871f76d11c2e6843602477881fb4ff5145f3a464a3c2adb522bfd46f52f786","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-06-02T04:58:04Z","title_canon_sha256":"f15a99564fdf8d0b32617bda66e5b6f44146eef5f2eb46a3e98f00971ed8f71a"},"schema_version":"1.0","source":{"id":"2506.01316","kind":"arxiv","version":1}},"canonical_sha256":"1b83e9d7754fdbea0f7d584aa89a9b8fc5b01e12b37e313a731e6005a0125fb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b83e9d7754fdbea0f7d584aa89a9b8fc5b01e12b37e313a731e6005a0125fb4","first_computed_at":"2026-07-05T11:14:11.635148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:11.635148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IyvUpWwEu6XcdQabKVLe738E3GZnRs0BBiM3asBgeeqGOprjDycubGETIOd/jXojQQUY4ccP2vrUZosWGGlfBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:11.635662Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.01316","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59057c21b812703b71956a9db6b9fa11389ef17a8e69a64d307ba776de719c92","sha256:968f79be69431bd19112a9774c668d2ab10e2142a9eb87f1004eb2026fe45e1c"],"state_sha256":"f16b86dc5726602a749415415b7724878f4cb44c4d64189d28fe4ff7e0ebebea"}