{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:3TLOR2KFAXM7DZTFZVW25DZ7GY","short_pith_number":"pith:3TLOR2KF","schema_version":"1.0","canonical_sha256":"dcd6e8e94505d9f1e665cd6dae8f3f36323cb7d829015d325c786a80c0cde32d","source":{"kind":"arxiv","id":"2304.14380","version":1},"attestation_state":"computed","paper":{"title":"Spacetime limit shapes of the KPZ equation in the upper tails","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Li-Cheng Tsai, Yier Lin","submitted_at":"2023-04-27T17:49:10Z","abstract_excerpt":"We consider the $n$-point, fixed-time large deviations of the KPZ equation with the narrow wedge initial condition. The scope consists of concave-configured, upper-tail deviations and a wide range of scaling regimes that allows time to be short, unit-order, and long. We prove the $n$-point large deviation principle and characterize, with proof, the corresponding spacetime limit shape. Our proof is based on the results -- from the companion paper Tsai (2023) -- on moments of the stochastic heat equation and utilizes ideas coming from a tree decomposition. Behind our proof lies the phenomenon wh"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2304.14380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-04-27T17:49:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"92ffe4810d1e3851a64c4525954a78750061183c192d6f43f55e8bdfeabcba8d","abstract_canon_sha256":"c0115dcf108bc8892fc387bc8474a3054b7f9ba6a275f7782d189b734d488ef8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:05:03.633457Z","signature_b64":"YkPJa1b7Qf/m8Gb+Id3m4NO8o1o5UayMRl1osS+adt4j5y1cGs07AP6FhvH5TXQOTB/ExtvFH2CWqwnJ/jmPBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcd6e8e94505d9f1e665cd6dae8f3f36323cb7d829015d325c786a80c0cde32d","last_reissued_at":"2026-07-05T06:05:03.633034Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:05:03.633034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spacetime limit shapes of the KPZ equation in the upper tails","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Li-Cheng Tsai, Yier Lin","submitted_at":"2023-04-27T17:49:10Z","abstract_excerpt":"We consider the $n$-point, fixed-time large deviations of the KPZ equation with the narrow wedge initial condition. The scope consists of concave-configured, upper-tail deviations and a wide range of scaling regimes that allows time to be short, unit-order, and long. We prove the $n$-point large deviation principle and characterize, with proof, the corresponding spacetime limit shape. Our proof is based on the results -- from the companion paper Tsai (2023) -- on moments of the stochastic heat equation and utilizes ideas coming from a tree decomposition. Behind our proof lies the phenomenon wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.14380","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/2304.14380/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2304.14380","created_at":"2026-07-05T06:05:03.633098+00:00"},{"alias_kind":"arxiv_version","alias_value":"2304.14380v1","created_at":"2026-07-05T06:05:03.633098+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.14380","created_at":"2026-07-05T06:05:03.633098+00:00"},{"alias_kind":"pith_short_12","alias_value":"3TLOR2KFAXM7","created_at":"2026-07-05T06:05:03.633098+00:00"},{"alias_kind":"pith_short_16","alias_value":"3TLOR2KFAXM7DZTF","created_at":"2026-07-05T06:05:03.633098+00:00"},{"alias_kind":"pith_short_8","alias_value":"3TLOR2KF","created_at":"2026-07-05T06:05:03.633098+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.00932","citing_title":"An upper tail field of the KPZ fixed point","ref_index":11,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY","json":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY.json","graph_json":"https://pith.science/api/pith-number/3TLOR2KFAXM7DZTFZVW25DZ7GY/graph.json","events_json":"https://pith.science/api/pith-number/3TLOR2KFAXM7DZTFZVW25DZ7GY/events.json","paper":"https://pith.science/paper/3TLOR2KF"},"agent_actions":{"view_html":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY","download_json":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY.json","view_paper":"https://pith.science/paper/3TLOR2KF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2304.14380&json=true","fetch_graph":"https://pith.science/api/pith-number/3TLOR2KFAXM7DZTFZVW25DZ7GY/graph.json","fetch_events":"https://pith.science/api/pith-number/3TLOR2KFAXM7DZTFZVW25DZ7GY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY/action/storage_attestation","attest_author":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY/action/author_attestation","sign_citation":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY/action/citation_signature","submit_replication":"https://pith.science/pith/3TLOR2KFAXM7DZTFZVW25DZ7GY/action/replication_record"}},"created_at":"2026-07-05T06:05:03.633098+00:00","updated_at":"2026-07-05T06:05:03.633098+00:00"}