{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:7OF4T4NZOCHD6SWPJ26ZBISQQ6","short_pith_number":"pith:7OF4T4NZ","canonical_record":{"source":{"id":"2405.16151","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-05-25T09:43:27Z","cross_cats_sorted":[],"title_canon_sha256":"85ffc0582358aed2fdf74bc80212389eeef2c348aee309aef1931c39993f8b27","abstract_canon_sha256":"6ab921f531a96d9ac6c264b679919e0202801173aa6e19e753d180f9261ec74e"},"schema_version":"1.0"},"canonical_sha256":"fb8bc9f1b9708e3f4acf4ebd90a25087ae6c2a9862d141bc606ae50dd2bf037d","source":{"kind":"arxiv","id":"2405.16151","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.16151","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"arxiv_version","alias_value":"2405.16151v1","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.16151","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"pith_short_12","alias_value":"7OF4T4NZOCHD","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"pith_short_16","alias_value":"7OF4T4NZOCHD6SWP","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"pith_short_8","alias_value":"7OF4T4NZ","created_at":"2026-07-05T08:23:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:7OF4T4NZOCHD6SWPJ26ZBISQQ6","target":"record","payload":{"canonical_record":{"source":{"id":"2405.16151","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-05-25T09:43:27Z","cross_cats_sorted":[],"title_canon_sha256":"85ffc0582358aed2fdf74bc80212389eeef2c348aee309aef1931c39993f8b27","abstract_canon_sha256":"6ab921f531a96d9ac6c264b679919e0202801173aa6e19e753d180f9261ec74e"},"schema_version":"1.0"},"canonical_sha256":"fb8bc9f1b9708e3f4acf4ebd90a25087ae6c2a9862d141bc606ae50dd2bf037d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:23:26.649431Z","signature_b64":"luILfCAUesyTaEWSYZ5bzYmsNK820in/yYMNKzh26TogfzMPtO1bSDIuF3sb6yE0fQ7dWCO5i1sgmxe9vKkxAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb8bc9f1b9708e3f4acf4ebd90a25087ae6c2a9862d141bc606ae50dd2bf037d","last_reissued_at":"2026-07-05T08:23:26.648888Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:23:26.648888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.16151","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:23:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZRN+bRpC+DpNZHLa1O1fi0okJY42GMOc6rId0oezQJGvo8YZwicg6SVBg+bjCDvp8/x7Bwz3gX9d2/u+jz8HAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T02:52:51.858439Z"},"content_sha256":"cc7cadcd91ae2f54f0b436940173910e70cf0fde38f475fe72587fdfc00ebdc1","schema_version":"1.0","event_id":"sha256:cc7cadcd91ae2f54f0b436940173910e70cf0fde38f475fe72587fdfc00ebdc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:7OF4T4NZOCHD6SWPJ26ZBISQQ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moderate deviation principles for the WASEP","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Linjie Zhao","submitted_at":"2024-05-25T09:43:27Z","abstract_excerpt":"We study the weakly asymmetric simple exclusion process on the integer lattice. Under suitable constraints on the strength of the weak asymmetry of the dynamics, we prove moderate deviation principles for the fluctuation fields when the process starts from stationary measures. As an application, we obtain sample path moderate deviation principles for the occupation time of the process in one dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.16151","kind":"arxiv","version":1},"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/2405.16151/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":"2026-07-05T08:23:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SXv3tGmX5lKtHArFzL336rqxfT5zZj/PqyciUQZFF3DgtUE8I5Njq4p+53/0zfh7HAF1zNt4ep4L98smI7FrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T02:52:51.858951Z"},"content_sha256":"7609b0be7f4ff69b97cba9b3e1b8663973701d3610096a1af704f6285d3f2964","schema_version":"1.0","event_id":"sha256:7609b0be7f4ff69b97cba9b3e1b8663973701d3610096a1af704f6285d3f2964"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6/bundle.json","state_url":"https://pith.science/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6/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":"2026-08-08T02:52:51Z","links":{"resolver":"https://pith.science/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6","bundle":"https://pith.science/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6/bundle.json","state":"https://pith.science/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7OF4T4NZOCHD6SWPJ26ZBISQQ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:7OF4T4NZOCHD6SWPJ26ZBISQQ6","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":"6ab921f531a96d9ac6c264b679919e0202801173aa6e19e753d180f9261ec74e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-05-25T09:43:27Z","title_canon_sha256":"85ffc0582358aed2fdf74bc80212389eeef2c348aee309aef1931c39993f8b27"},"schema_version":"1.0","source":{"id":"2405.16151","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.16151","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"arxiv_version","alias_value":"2405.16151v1","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.16151","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"pith_short_12","alias_value":"7OF4T4NZOCHD","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"pith_short_16","alias_value":"7OF4T4NZOCHD6SWP","created_at":"2026-07-05T08:23:26Z"},{"alias_kind":"pith_short_8","alias_value":"7OF4T4NZ","created_at":"2026-07-05T08:23:26Z"}],"graph_snapshots":[{"event_id":"sha256:7609b0be7f4ff69b97cba9b3e1b8663973701d3610096a1af704f6285d3f2964","target":"graph","created_at":"2026-07-05T08:23:26Z","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/2405.16151/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the weakly asymmetric simple exclusion process on the integer lattice. Under suitable constraints on the strength of the weak asymmetry of the dynamics, we prove moderate deviation principles for the fluctuation fields when the process starts from stationary measures. As an application, we obtain sample path moderate deviation principles for the occupation time of the process in one dimension.","authors_text":"Linjie Zhao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-05-25T09:43:27Z","title":"Moderate deviation principles for the WASEP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.16151","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:cc7cadcd91ae2f54f0b436940173910e70cf0fde38f475fe72587fdfc00ebdc1","target":"record","created_at":"2026-07-05T08:23:26Z","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":"6ab921f531a96d9ac6c264b679919e0202801173aa6e19e753d180f9261ec74e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-05-25T09:43:27Z","title_canon_sha256":"85ffc0582358aed2fdf74bc80212389eeef2c348aee309aef1931c39993f8b27"},"schema_version":"1.0","source":{"id":"2405.16151","kind":"arxiv","version":1}},"canonical_sha256":"fb8bc9f1b9708e3f4acf4ebd90a25087ae6c2a9862d141bc606ae50dd2bf037d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb8bc9f1b9708e3f4acf4ebd90a25087ae6c2a9862d141bc606ae50dd2bf037d","first_computed_at":"2026-07-05T08:23:26.648888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:23:26.648888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"luILfCAUesyTaEWSYZ5bzYmsNK820in/yYMNKzh26TogfzMPtO1bSDIuF3sb6yE0fQ7dWCO5i1sgmxe9vKkxAw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:23:26.649431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.16151","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc7cadcd91ae2f54f0b436940173910e70cf0fde38f475fe72587fdfc00ebdc1","sha256:7609b0be7f4ff69b97cba9b3e1b8663973701d3610096a1af704f6285d3f2964"],"state_sha256":"660e02fd933019a7c99ad6d5d892c02c2679d62f334df596a0e182529b012c9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I8ZCOaOo0Ck0DQc+d2V3n/HV2GWlYqUL0zi1ztiqihl/cEZR9ffb1BkDXDqhhkS5Eo+EZnYZmlPBGu1xI6l3CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T02:52:51.862201Z","bundle_sha256":"e6682fff25b306aba1ba55fa558eeaaa6977d18fbbd4829909dd4738dc957f1c"}}