{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:EBKFHMVY2ZZTHQVUR2LI27CLSY","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":"6db91d455fa0b6ea49beac95553e3856f5248e177d43d817ec106d48be4eba6c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.PR","submitted_at":"2014-10-07T21:04:31Z","title_canon_sha256":"b0f922ebcf92d0211ab937f41959313518d7944192c9fd84d18b17ab09c25255"},"schema_version":"1.0","source":{"id":"1410.1911","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.1911","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"arxiv_version","alias_value":"1410.1911v1","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.1911","created_at":"2026-05-18T02:40:53Z"},{"alias_kind":"pith_short_12","alias_value":"EBKFHMVY2ZZT","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"EBKFHMVY2ZZTHQVU","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"EBKFHMVY","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:477d1d809582f2060476a43fe7f6323e0fa2c1dbb932b4c82f185cbf4c4f19d5","target":"graph","created_at":"2026-05-18T02:40:53Z","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 study the nonlinear stochastic time-fractional diffusion equations in the spatial domain $\\mathbb{R}$, driven by multiplicative space-time white noise. The fractional index $\\beta$ varies continuously from $0$ to $2$. The case $\\beta=1$ (resp. $\\beta=2$) corresponds to the stochastic heat (resp. wave) equation. The cases $\\beta\\in \\:]0,1[\\:$ and $\\beta\\in \\:]1,2[\\:$ are called {\\it slow diffusion equations} and {\\it fast diffusion equations}, respectively. Existence and uniqueness of random field solutions with measure-valued initial data, such as the Dirac delta measure, are established. U","authors_text":"Le Chen","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.PR","submitted_at":"2014-10-07T21:04:31Z","title":"Nonlinear stochastic time-fractional diffusion equations on $\\mathbb{R}$: moments, H\\\"older regularity and intermittency"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.1911","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":"sha256:9a5b83ca5383ec631a7944b787f1c94f42dc05d6ca6816246c44dfd81a846d26","target":"record","created_at":"2026-05-18T02:40:53Z","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":"6db91d455fa0b6ea49beac95553e3856f5248e177d43d817ec106d48be4eba6c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"math.PR","submitted_at":"2014-10-07T21:04:31Z","title_canon_sha256":"b0f922ebcf92d0211ab937f41959313518d7944192c9fd84d18b17ab09c25255"},"schema_version":"1.0","source":{"id":"1410.1911","kind":"arxiv","version":1}},"canonical_sha256":"205453b2b8d67333c2b48e968d7c4b9605b0e9cfe4a66fb6ba4be3d3c1ccab6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"205453b2b8d67333c2b48e968d7c4b9605b0e9cfe4a66fb6ba4be3d3c1ccab6d","first_computed_at":"2026-05-18T02:40:53.535532Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:40:53.535532Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HEVqjeiehS2x0iQ9Qzwv6wdUu7VogY79PPv+Qm1ZpBtQh7/Loj2n+p4S+kiMtEI0OM7zDRK6osNnXKRAL/mMCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:40:53.535888Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.1911","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a5b83ca5383ec631a7944b787f1c94f42dc05d6ca6816246c44dfd81a846d26","sha256:477d1d809582f2060476a43fe7f6323e0fa2c1dbb932b4c82f185cbf4c4f19d5"],"state_sha256":"1febe246913273ddc5ca7271eda83d8102a31ab9880feef815e6319af3f9319c"}