{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EP64FA5XJXVC3WOUMU7VOPWXSI","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":"c569b56eff6d04d7da46c61310a81a5098834f7a910795a4f9a3ae4a537788ea","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-04-11T13:19:45Z","title_canon_sha256":"ba4d94da5ceef9aea0b1d8e502da59e61e8728a0501bba8b370cd93832da73dd"},"schema_version":"1.0","source":{"id":"2404.07728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.07728","created_at":"2026-07-05T09:43:06Z"},{"alias_kind":"arxiv_version","alias_value":"2404.07728v2","created_at":"2026-07-05T09:43:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.07728","created_at":"2026-07-05T09:43:06Z"},{"alias_kind":"pith_short_12","alias_value":"EP64FA5XJXVC","created_at":"2026-07-05T09:43:06Z"},{"alias_kind":"pith_short_16","alias_value":"EP64FA5XJXVC3WOU","created_at":"2026-07-05T09:43:06Z"},{"alias_kind":"pith_short_8","alias_value":"EP64FA5X","created_at":"2026-07-05T09:43:06Z"}],"graph_snapshots":[{"event_id":"sha256:f2cb74ef616b755a4be86ac4c22d37bd1967d530cd51350e2afdee70694930f1","target":"graph","created_at":"2026-07-05T09:43:06Z","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/2404.07728/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Stochastic Burgers equation was introduced in [H. van Beijeren, R. Kutner and H. Spohn, Excess noise for driven diffusive systems, PRL, 1985] as a continuous approximation of the fluctuations of the asymmetric simple exclusion process. It is formally given by $$\\partial_t\\eta =\\frac{1}{2}\\Delta\\eta+ \\mathfrak w\\cdot\\nabla(\\eta^2) + \\nabla\\cdot\\xi,$$ where $\\xi$ is $d$-dimensional space time white noise and $\\mathfrak w$ is a fixed non-zero vector. In the critical dimension $d=2$ at stationarity, we show that this system exhibits superdiffusve behaviour: more specifically, its bulk diffusio","authors_text":"Damiano De Gaspari, Levi Haunschmid-Sibitz","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-04-11T13:19:45Z","title":"$(\\log t)^\\frac{2}{3}$-superdiffusivity for the 2d stochastic Burgers equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.07728","kind":"arxiv","version":2},"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":"sha256:949ad370a30df15346b74689c0f47fe5c758bab3cbe54242ded104cccbe1216f","target":"record","created_at":"2026-07-05T09:43:06Z","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":"c569b56eff6d04d7da46c61310a81a5098834f7a910795a4f9a3ae4a537788ea","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2024-04-11T13:19:45Z","title_canon_sha256":"ba4d94da5ceef9aea0b1d8e502da59e61e8728a0501bba8b370cd93832da73dd"},"schema_version":"1.0","source":{"id":"2404.07728","kind":"arxiv","version":2}},"canonical_sha256":"23fdc283b74dea2dd9d4653f573ed7921889c1f9111735368a5c0f60ad0b28fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23fdc283b74dea2dd9d4653f573ed7921889c1f9111735368a5c0f60ad0b28fb","first_computed_at":"2026-07-05T09:43:06.603779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:43:06.603779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mFtUYXjdWCIE/cf2hgPZSK1mq61q3dQi7cdENgtYkKYNtdowEsEzZVMbN2rrwJQb6DWSmi209JMPLiu5iAdFCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:43:06.605662Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.07728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:949ad370a30df15346b74689c0f47fe5c758bab3cbe54242ded104cccbe1216f","sha256:f2cb74ef616b755a4be86ac4c22d37bd1967d530cd51350e2afdee70694930f1"],"state_sha256":"a271df4f3228f4fc575c21cfac84d0001144f07c9880c63325a3d4dffb97f7e8"}