{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NGXY55AOA5NSKPPRIIEVVC5PAX","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":"9a6d6571e569b76b6948d46b49095a10c0010043543e0b3501c8650728169f5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-12-10T16:43:57Z","title_canon_sha256":"1c50cf7bd8399f182061e581e7ab214aec3841bfcb80e3c99ef5b18fe6ee0a6f"},"schema_version":"1.0","source":{"id":"1812.03911","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.03911","created_at":"2026-05-17T23:41:45Z"},{"alias_kind":"arxiv_version","alias_value":"1812.03911v3","created_at":"2026-05-17T23:41:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.03911","created_at":"2026-05-17T23:41:45Z"},{"alias_kind":"pith_short_12","alias_value":"NGXY55AOA5NS","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NGXY55AOA5NSKPPR","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NGXY55AO","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:e2d0f4a9c1a2770ec7ddf4a3222f9740d6bd7a47612868bb2a26356afce89c8e","target":"graph","created_at":"2026-05-17T23:41:45Z","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"},"paper":{"abstract_excerpt":"We consider the KPZ equation in space dimension 2 driven by space-time white noise. We showed in previous work that if the noise is mollified in space on scale $\\epsilon$ and its strength is scaled as $\\hat\\beta / \\sqrt{|\\log \\epsilon|}$, then a transition occurs with explicit critical point $\\hat\\beta_c = \\sqrt{2\\pi}$. Recently Chatterjee and Dunlap showed that the solution admits subsequential scaling limits as $\\epsilon \\downarrow 0$, for sufficiently small $\\hat\\beta$. We prove here that the limit exists in the entire subcritical regime $\\hat\\beta \\in (0, \\hat\\beta_c)$ and we identify it a","authors_text":"Francesco Caravenna, Nikos Zygouras, Rongfeng Sun","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-12-10T16:43:57Z","title":"The two-dimensional KPZ equation in the entire subcritical regime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.03911","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":"sha256:73615e852937ff0049b9e7b340ae86e45819f3ff3c3106efb71384ac3714a124","target":"record","created_at":"2026-05-17T23:41:45Z","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":"9a6d6571e569b76b6948d46b49095a10c0010043543e0b3501c8650728169f5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-12-10T16:43:57Z","title_canon_sha256":"1c50cf7bd8399f182061e581e7ab214aec3841bfcb80e3c99ef5b18fe6ee0a6f"},"schema_version":"1.0","source":{"id":"1812.03911","kind":"arxiv","version":3}},"canonical_sha256":"69af8ef40e075b253df142095a8baf05dbaa1a927cec3c69c702fe16f85a6f4a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69af8ef40e075b253df142095a8baf05dbaa1a927cec3c69c702fe16f85a6f4a","first_computed_at":"2026-05-17T23:41:45.579097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:45.579097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y+ZPmX65sOYm2MppDYukTmtbsBLLAq3yOyiphijEYs/CdOrBI3tBVdPqSJLo21nauswBGV9uW7r0LXxKrpUqAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:45.579616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.03911","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73615e852937ff0049b9e7b340ae86e45819f3ff3c3106efb71384ac3714a124","sha256:e2d0f4a9c1a2770ec7ddf4a3222f9740d6bd7a47612868bb2a26356afce89c8e"],"state_sha256":"8590dbe16460e1839db343de24b00314a185e90ec7ea51096028bd6039023a4a"}