{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GVROTBPVOS4V4J4V3U5G7YPKJ6","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":"fa2120059faef0ca7a4ffc9a116fdbe61111b1393479cdfd3361e589c29f40ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","title_canon_sha256":"a34c5659d751bd3f759ba6e23f616f44403b67de4d254a917d7eea85659c080c"},"schema_version":"1.0","source":{"id":"1805.08411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.08411","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"arxiv_version","alias_value":"1805.08411v1","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08411","created_at":"2026-05-18T00:15:26Z"},{"alias_kind":"pith_short_12","alias_value":"GVROTBPVOS4V","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GVROTBPVOS4V4J4V","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GVROTBPV","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:a34a3e554addcddeda773417b4eebba64db7435bf08fbf48907492063182431d","target":"graph","created_at":"2026-05-18T00:15:26Z","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":"In this note, we review some of the recent developments in the well-posedness theory of nonlinear dispersive partial differential equations with random initial data.","authors_text":"\\'Arp\\'ad B\\'enyi, Oana Pocovnicu, Tadahiro Oh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","title":"On the probabilistic Cauchy theory for nonlinear dispersive PDEs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08411","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":"sha256:92155a92b9647dac2b875f8ab2ef01bbfbb361ecf819e51a8d541d2c37c51c39","target":"record","created_at":"2026-05-18T00:15:26Z","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":"fa2120059faef0ca7a4ffc9a116fdbe61111b1393479cdfd3361e589c29f40ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-22T05:57:39Z","title_canon_sha256":"a34c5659d751bd3f759ba6e23f616f44403b67de4d254a917d7eea85659c080c"},"schema_version":"1.0","source":{"id":"1805.08411","kind":"arxiv","version":1}},"canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3562e985f574b95e2795dd3a6fe1ea4f965573d12e7b58ae7244bc5f1a4c85cd","first_computed_at":"2026-05-18T00:15:26.582263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:26.582263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a97E1AZPApnT6eGXowpcDzeIYhfGKWudbb0MRDcmkJy416tHWh4FAQDCa1XPiIgaNnOVBwwJ61MV7yIv1THLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:26.583005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.08411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92155a92b9647dac2b875f8ab2ef01bbfbb361ecf819e51a8d541d2c37c51c39","sha256:a34a3e554addcddeda773417b4eebba64db7435bf08fbf48907492063182431d"],"state_sha256":"5d096e7dd399a9d16ea462d3e18b7db2d266d98e53ea9f76e2fc3bba5ed03d10"}