{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:IJRQWAYNFDCQPVDGT4PSP2FYCZ","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":"e5700e03f77b253a6894442188d019fb4fbe8fc376e16e5b0357abca8c36d0d3","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-15T09:00:50Z","title_canon_sha256":"3923472901e85bc4b5c437f398c5b33ef7da0edc4bc26ba0afee358a21ad9e97"},"schema_version":"1.0","source":{"id":"2305.08458","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08458","created_at":"2026-07-05T06:10:01Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08458v1","created_at":"2026-07-05T06:10:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08458","created_at":"2026-07-05T06:10:01Z"},{"alias_kind":"pith_short_12","alias_value":"IJRQWAYNFDCQ","created_at":"2026-07-05T06:10:01Z"},{"alias_kind":"pith_short_16","alias_value":"IJRQWAYNFDCQPVDG","created_at":"2026-07-05T06:10:01Z"},{"alias_kind":"pith_short_8","alias_value":"IJRQWAYN","created_at":"2026-07-05T06:10:01Z"}],"graph_snapshots":[{"event_id":"sha256:04ba186b4f28891347323197b0ae9395d48b921a3d6f6a0007a974331a8a1936","target":"graph","created_at":"2026-07-05T06:10:01Z","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/2305.08458/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the following stochastic heat equation \\begin{equation*}\n  \\partial_t u(t\\,,x) = \\tfrac12 \\partial^2_x u(t\\,,x) + b(u(t\\,,x)) + \\sigma(u(t\\,,x)) \\dot{W}(t\\,,x), \\end{equation*} defined for $(t\\,,x)\\in(0\\,,\\infty)\\times\\mathbb{R}$, where $\\dot{W}$ denotes space-time white noise. The function $\\sigma$ is assumed to be positive, bounded, globally Lipschitz, and bounded uniformly away from the origin, and the function $b$ is assumed to be positive, locally Lipschitz and nondecreasing. We prove that the Osgood condition \\[\n  \\int_1^\\infty\\frac{\\mathrm{d} y}{b(y)}<\\infty \\] implies that ","authors_text":"Davar Khoshnevisan, Eulalia Nualart, Mohammud Foondun","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-15T09:00:50Z","title":"Instantaneous everywhere-blowup of parabolic SPDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08458","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:debd2bc488577e57d8e596f77326b5587e1bdd14abf995d1c21690e50e56ce41","target":"record","created_at":"2026-07-05T06:10:01Z","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":"e5700e03f77b253a6894442188d019fb4fbe8fc376e16e5b0357abca8c36d0d3","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2023-05-15T09:00:50Z","title_canon_sha256":"3923472901e85bc4b5c437f398c5b33ef7da0edc4bc26ba0afee358a21ad9e97"},"schema_version":"1.0","source":{"id":"2305.08458","kind":"arxiv","version":1}},"canonical_sha256":"42630b030d28c507d4669f1f27e8b816430b895b7fc630c31243db5f8949d4aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42630b030d28c507d4669f1f27e8b816430b895b7fc630c31243db5f8949d4aa","first_computed_at":"2026-07-05T06:10:01.923613Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:10:01.923613Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OtMBrVaD8GIhRoMnb+4KqWtBHjwDCUH1yAIja8IULOJesiaOnxcQu6Q/p8Lr9ZS3aO44HEjYmstyT6QMo3kQDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:10:01.924049Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.08458","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:debd2bc488577e57d8e596f77326b5587e1bdd14abf995d1c21690e50e56ce41","sha256:04ba186b4f28891347323197b0ae9395d48b921a3d6f6a0007a974331a8a1936"],"state_sha256":"a0d163b6588ba49269edf505db86c2e8c09ef36d275c36ef272895a42f3a095a"}