{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:A3W2RM4JHNCCMMSJYAFPECN6YN","short_pith_number":"pith:A3W2RM4J","canonical_record":{"source":{"id":"2409.06581","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-09-10T15:20:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"adcc7e8ed7e5b825d466a7d304e955a43fb8499ff199e822681d8e3379162269","abstract_canon_sha256":"4813ad7fe3ef9e64fd5c746fb223a2bbcfcc87ec12a5505e02ecee2e97494512"},"schema_version":"1.0"},"canonical_sha256":"06eda8b3893b44263249c00af209bec37cf6ae0499f815c2d58302e4223c2b2c","source":{"kind":"arxiv","id":"2409.06581","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.06581","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"2409.06581v4","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.06581","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"A3W2RM4JHNCC","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"A3W2RM4JHNCCMMSJ","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"A3W2RM4J","created_at":"2026-07-05T11:14:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:A3W2RM4JHNCCMMSJYAFPECN6YN","target":"record","payload":{"canonical_record":{"source":{"id":"2409.06581","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-09-10T15:20:33Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"adcc7e8ed7e5b825d466a7d304e955a43fb8499ff199e822681d8e3379162269","abstract_canon_sha256":"4813ad7fe3ef9e64fd5c746fb223a2bbcfcc87ec12a5505e02ecee2e97494512"},"schema_version":"1.0"},"canonical_sha256":"06eda8b3893b44263249c00af209bec37cf6ae0499f815c2d58302e4223c2b2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:14:24.561571Z","signature_b64":"RZZo9lD+rasRwA+kbPQoeerHrSdZWLRdkiqjhri+WeTT9HBuGRtPlup3ZPnU475IX8mWQK6wjGWd4MfKkPu0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"06eda8b3893b44263249c00af209bec37cf6ae0499f815c2d58302e4223c2b2c","last_reissued_at":"2026-07-05T11:14:24.561074Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:14:24.561074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.06581","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:14:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fO9uD1x8PS72LyXHhHKh/a/13I+W0s6Gw/5RwnkliItqU9kMySnLanNSDNAkaBNTML+eD+zD9dKdxQqZQGWICA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:06:33.455074Z"},"content_sha256":"5db71ced162d643a21948add4f280219d11cd55468f523ab562b5748f2ee7411","schema_version":"1.0","event_id":"sha256:5db71ced162d643a21948add4f280219d11cd55468f523ab562b5748f2ee7411"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:A3W2RM4JHNCCMMSJYAFPECN6YN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Velocity surface disorder of large deviation rate functions of the random walk in strongly mixing environment","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Jiaming Chen","submitted_at":"2024-09-10T15:20:33Z","abstract_excerpt":"In this work, we establish the existence of large deviation principles of random walk in strongly mixing environments. The quenched and annealed rate functions have the same zero set whose shape is either a singleton point or a line segment, with an illustrative example communicated and given by F. Rassoul-Agha. Whenever the level of disorder is controlled, the two rate functions are shown to conform on compact sets at the boundary and in the interior both under strongly mixing conditions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.06581","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.06581/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:14:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E83owABCjoZ6nOZ3g3+GWz162oP5N4RERBysJvJtTm3SM9Nc4ammbuZPuZ+rUc2iXcRg/B5dKf0DzQm+MfkYBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T03:06:33.455575Z"},"content_sha256":"b85d1ceb31620e2c8d3cd5493e0a8b1949c9243832223af1f04d543d579e6b6a","schema_version":"1.0","event_id":"sha256:b85d1ceb31620e2c8d3cd5493e0a8b1949c9243832223af1f04d543d579e6b6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A3W2RM4JHNCCMMSJYAFPECN6YN/bundle.json","state_url":"https://pith.science/pith/A3W2RM4JHNCCMMSJYAFPECN6YN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A3W2RM4JHNCCMMSJYAFPECN6YN/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-08T03:06:33Z","links":{"resolver":"https://pith.science/pith/A3W2RM4JHNCCMMSJYAFPECN6YN","bundle":"https://pith.science/pith/A3W2RM4JHNCCMMSJYAFPECN6YN/bundle.json","state":"https://pith.science/pith/A3W2RM4JHNCCMMSJYAFPECN6YN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A3W2RM4JHNCCMMSJYAFPECN6YN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:A3W2RM4JHNCCMMSJYAFPECN6YN","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":"4813ad7fe3ef9e64fd5c746fb223a2bbcfcc87ec12a5505e02ecee2e97494512","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-09-10T15:20:33Z","title_canon_sha256":"adcc7e8ed7e5b825d466a7d304e955a43fb8499ff199e822681d8e3379162269"},"schema_version":"1.0","source":{"id":"2409.06581","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.06581","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"2409.06581v4","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.06581","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"A3W2RM4JHNCC","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"A3W2RM4JHNCCMMSJ","created_at":"2026-07-05T11:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"A3W2RM4J","created_at":"2026-07-05T11:14:24Z"}],"graph_snapshots":[{"event_id":"sha256:b85d1ceb31620e2c8d3cd5493e0a8b1949c9243832223af1f04d543d579e6b6a","target":"graph","created_at":"2026-07-05T11:14:24Z","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/2409.06581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we establish the existence of large deviation principles of random walk in strongly mixing environments. The quenched and annealed rate functions have the same zero set whose shape is either a singleton point or a line segment, with an illustrative example communicated and given by F. Rassoul-Agha. Whenever the level of disorder is controlled, the two rate functions are shown to conform on compact sets at the boundary and in the interior both under strongly mixing conditions.","authors_text":"Jiaming Chen","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-09-10T15:20:33Z","title":"Velocity surface disorder of large deviation rate functions of the random walk in strongly mixing environment"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.06581","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":"sha256:5db71ced162d643a21948add4f280219d11cd55468f523ab562b5748f2ee7411","target":"record","created_at":"2026-07-05T11:14:24Z","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":"4813ad7fe3ef9e64fd5c746fb223a2bbcfcc87ec12a5505e02ecee2e97494512","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-09-10T15:20:33Z","title_canon_sha256":"adcc7e8ed7e5b825d466a7d304e955a43fb8499ff199e822681d8e3379162269"},"schema_version":"1.0","source":{"id":"2409.06581","kind":"arxiv","version":4}},"canonical_sha256":"06eda8b3893b44263249c00af209bec37cf6ae0499f815c2d58302e4223c2b2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06eda8b3893b44263249c00af209bec37cf6ae0499f815c2d58302e4223c2b2c","first_computed_at":"2026-07-05T11:14:24.561074Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:24.561074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RZZo9lD+rasRwA+kbPQoeerHrSdZWLRdkiqjhri+WeTT9HBuGRtPlup3ZPnU475IX8mWQK6wjGWd4MfKkPu0Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:24.561571Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.06581","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5db71ced162d643a21948add4f280219d11cd55468f523ab562b5748f2ee7411","sha256:b85d1ceb31620e2c8d3cd5493e0a8b1949c9243832223af1f04d543d579e6b6a"],"state_sha256":"dfcf1edb232fc977c2dc57548bf3265d9dd3777a99dc8e7484ce28c168d8e129"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"riaFaYHCPrlHqgQPtA4/wN59SCrtZmRiCs7mQ3o2r98JU1d99fTCIUN0BKOITcWFRJA1FK0Z8S+c3Td+ISPaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T03:06:33.460165Z","bundle_sha256":"39d7bf9c2de7e48bf5f536106a786975ccdfd60674b19937378f8f362ddcebd7"}}