{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A654O2OL6MK5YWOK5LVVCRPYHY","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":"e757656cea300eb25e9ca8a8182c29c6fc825155e31d3d27cdd6da4e3339025a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-08-12T17:10:03Z","title_canon_sha256":"153749719d227586183c15e6a4a893ac1a68cf33a7e8c376188c1e2b155af2cf"},"schema_version":"1.0","source":{"id":"2608.12270","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12270","created_at":"2026-08-13T01:30:40Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12270v1","created_at":"2026-08-13T01:30:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12270","created_at":"2026-08-13T01:30:40Z"},{"alias_kind":"pith_short_12","alias_value":"A654O2OL6MK5","created_at":"2026-08-13T01:30:40Z"},{"alias_kind":"pith_short_16","alias_value":"A654O2OL6MK5YWOK","created_at":"2026-08-13T01:30:40Z"},{"alias_kind":"pith_short_8","alias_value":"A654O2OL","created_at":"2026-08-13T01:30:40Z"}],"graph_snapshots":[{"event_id":"sha256:50e1412ec3852593b5d422fbfb7d70ca0cab2be6b440e3aa2a2e9ed4d2af83a0","target":"graph","created_at":"2026-08-13T01:30:40Z","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/2608.12270/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While the solution to the $1+1$ dimensional stochastic heat equation with multiplicative noise is closely related to the exponential of a Brownian motion, the two-dimensional picture exhibits an additional weak-to-strong disorder transition. In [CSZ '23], the critical two-dimensional stochastic heat flow (SHF) was constructed as the scaling limit of the partition function of $2+1$ dimensional directed polymers under the logarithmic intermediate-disorder scaling at criticality. The SHF is a random measure and, like many naturally occurring random measures, it is expected to exhibit rich intermi","authors_text":"Kyeongsik Nam, Shirshendu Ganguly","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-08-12T17:10:03Z","title":"Logarithmic intermittency of the critical 2D SHF"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12270","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":"sha256:16e9591beb86b1fbc3b4140d89a236dd8671f8703900d4a531d7741a1fdbe819","target":"record","created_at":"2026-08-13T01:30:40Z","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":"e757656cea300eb25e9ca8a8182c29c6fc825155e31d3d27cdd6da4e3339025a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-08-12T17:10:03Z","title_canon_sha256":"153749719d227586183c15e6a4a893ac1a68cf33a7e8c376188c1e2b155af2cf"},"schema_version":"1.0","source":{"id":"2608.12270","kind":"arxiv","version":1}},"canonical_sha256":"07bbc769cbf315dc59caeaeb5145f83e049bd891fcc5463af01f161982dfbc44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07bbc769cbf315dc59caeaeb5145f83e049bd891fcc5463af01f161982dfbc44","first_computed_at":"2026-08-13T01:30:40.245874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-13T01:30:40.245874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fbQgsWPPQCm0h9QcdUjynQdv6R5jZQV50/7OKN9u6WlYPutRXXR/ffWJKzwr1xwYKiLaRkI5o8AN0p7NXHYKCg==","signature_status":"signed_v1","signed_at":"2026-08-13T01:30:40.248456Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.12270","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:16e9591beb86b1fbc3b4140d89a236dd8671f8703900d4a531d7741a1fdbe819","sha256:50e1412ec3852593b5d422fbfb7d70ca0cab2be6b440e3aa2a2e9ed4d2af83a0"],"state_sha256":"2adf15ae1099ac95a88bf4cf0390eee98cdb07fabe4dc3842783592c843d21f8"}