{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:2OV7ZJIBXI3TJEMOS2XXZ3K6W4","short_pith_number":"pith:2OV7ZJIB","canonical_record":{"source":{"id":"2501.00932","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-01T19:11:48Z","cross_cats_sorted":[],"title_canon_sha256":"aabb6d4e5b39a4283dcb600af11f42bfee314b8fce33c68f3029bde18437b8b8","abstract_canon_sha256":"6280d745cc683335a3a9ff22d7131be18862374f4d46b953e25209100b407cd1"},"schema_version":"1.0"},"canonical_sha256":"d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323","source":{"kind":"arxiv","id":"2501.00932","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00932","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00932v3","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00932","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"pith_short_12","alias_value":"2OV7ZJIBXI3T","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"2OV7ZJIBXI3TJEMO","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"2OV7ZJIB","created_at":"2026-07-05T11:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:2OV7ZJIBXI3TJEMOS2XXZ3K6W4","target":"record","payload":{"canonical_record":{"source":{"id":"2501.00932","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-01T19:11:48Z","cross_cats_sorted":[],"title_canon_sha256":"aabb6d4e5b39a4283dcb600af11f42bfee314b8fce33c68f3029bde18437b8b8","abstract_canon_sha256":"6280d745cc683335a3a9ff22d7131be18862374f4d46b953e25209100b407cd1"},"schema_version":"1.0"},"canonical_sha256":"d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:33.172243Z","signature_b64":"oap8u4T5mW7JtktibDYdgJdsqsE965f/69amD/POfDRs8+mcKgbkJ4vGFeH4NaE35cyMrMZHgqjcJKkLK5wdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323","last_reissued_at":"2026-07-05T11:28:33.171739Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:33.171739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.00932","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:28:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WXSMvMRNeniOBQbPwoK40I7zbR64VPWydv+9O9jhHoyPvADeapPXbO/av3Ohw/yhgi3IjRXwOjuvLMjCk+IyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:19:03.593259Z"},"content_sha256":"177efa290d8c51fd0ed1a9c2bcb71b30612b36751e0244e73a06f93cb81dbd14","schema_version":"1.0","event_id":"sha256:177efa290d8c51fd0ed1a9c2bcb71b30612b36751e0244e73a06f93cb81dbd14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:2OV7ZJIBXI3TJEMOS2XXZ3K6W4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An upper tail field of the KPZ fixed point","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ruixuan Zhang, Zhipeng Liu","submitted_at":"2025-01-01T19:11:48Z","abstract_excerpt":"The KPZ fixed point is a (1+1)-dimensional space-time random field conjectured to be the universal limit for models within the Kardar-Parisi-Zhang (KPZ) universality class. We consider the KPZ fixed point with the narrow-wedge initial condition, conditioning on a large value at a specific point. By zooming in the neighborhood of this high point appropriately, we obtain a limiting random field, which we call an upper tail field of the KPZ fixed point. Different from the KPZ fixed point, where the time parameter has to be nonnegative, the upper tail field is defined in the full $2$-dimensional s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00932","kind":"arxiv","version":3},"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/2501.00932/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":"2026-07-05T11:28:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1St3yvo4QHwLVtlDDP5sNg8ZNk/5RfhoNLt5jaNhufBoMmrQBfaEIL6IjfHzWxseQq+guCAGygq9mbq/6NNFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T08:19:03.594156Z"},"content_sha256":"55d3e709561f8993d41f6667bb2708eb662b3b4b709b8eb7080a58b9208e62cd","schema_version":"1.0","event_id":"sha256:55d3e709561f8993d41f6667bb2708eb662b3b4b709b8eb7080a58b9208e62cd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4/bundle.json","state_url":"https://pith.science/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4/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":"2026-08-11T08:19:03Z","links":{"resolver":"https://pith.science/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4","bundle":"https://pith.science/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4/bundle.json","state":"https://pith.science/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2OV7ZJIBXI3TJEMOS2XXZ3K6W4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2OV7ZJIBXI3TJEMOS2XXZ3K6W4","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":"6280d745cc683335a3a9ff22d7131be18862374f4d46b953e25209100b407cd1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-01T19:11:48Z","title_canon_sha256":"aabb6d4e5b39a4283dcb600af11f42bfee314b8fce33c68f3029bde18437b8b8"},"schema_version":"1.0","source":{"id":"2501.00932","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.00932","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"arxiv_version","alias_value":"2501.00932v3","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00932","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"pith_short_12","alias_value":"2OV7ZJIBXI3T","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"2OV7ZJIBXI3TJEMO","created_at":"2026-07-05T11:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"2OV7ZJIB","created_at":"2026-07-05T11:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:55d3e709561f8993d41f6667bb2708eb662b3b4b709b8eb7080a58b9208e62cd","target":"graph","created_at":"2026-07-05T11:28:33Z","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/2501.00932/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The KPZ fixed point is a (1+1)-dimensional space-time random field conjectured to be the universal limit for models within the Kardar-Parisi-Zhang (KPZ) universality class. We consider the KPZ fixed point with the narrow-wedge initial condition, conditioning on a large value at a specific point. By zooming in the neighborhood of this high point appropriately, we obtain a limiting random field, which we call an upper tail field of the KPZ fixed point. Different from the KPZ fixed point, where the time parameter has to be nonnegative, the upper tail field is defined in the full $2$-dimensional s","authors_text":"Ruixuan Zhang, Zhipeng Liu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-01T19:11:48Z","title":"An upper tail field of the KPZ fixed point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00932","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":"sha256:177efa290d8c51fd0ed1a9c2bcb71b30612b36751e0244e73a06f93cb81dbd14","target":"record","created_at":"2026-07-05T11:28:33Z","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":"6280d745cc683335a3a9ff22d7131be18862374f4d46b953e25209100b407cd1","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-01T19:11:48Z","title_canon_sha256":"aabb6d4e5b39a4283dcb600af11f42bfee314b8fce33c68f3029bde18437b8b8"},"schema_version":"1.0","source":{"id":"2501.00932","kind":"arxiv","version":3}},"canonical_sha256":"d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3abfca501ba3734918e96af7ced5eb73588fe5f81737e6e33dedf06ce05b323","first_computed_at":"2026-07-05T11:28:33.171739Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:28:33.171739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oap8u4T5mW7JtktibDYdgJdsqsE965f/69amD/POfDRs8+mcKgbkJ4vGFeH4NaE35cyMrMZHgqjcJKkLK5wdAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:28:33.172243Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.00932","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:177efa290d8c51fd0ed1a9c2bcb71b30612b36751e0244e73a06f93cb81dbd14","sha256:55d3e709561f8993d41f6667bb2708eb662b3b4b709b8eb7080a58b9208e62cd"],"state_sha256":"ab338624de985b92ee587699590326a4adfe01689e27fc2aece23b2829d77a60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vUq6+kRoI0EHjhCkm/KiCPcTH98Nv3bqOXN8M5aT+z3T/HO52hrEOx/9ECPHT1LDLZz/v8mk57kikAJbBqC+Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T08:19:03.600353Z","bundle_sha256":"305729727528684cd8b54950ea2fb559145d4015fdd01173e7eecbfc67dfa431"}}