{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C2MPF5A76WB3P3WFCKEGG7G4WH","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":"5eef1b1bb04301f7d2b52b8178090471b869d86fddcd89874ad334265299dc1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-26T19:33:31Z","title_canon_sha256":"df3ea1564b8f1824867e4b7b833fec6c39e5ae772b2d489c82ae22083af01a22"},"schema_version":"1.0","source":{"id":"1812.10509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10509","created_at":"2026-05-17T23:57:20Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10509v1","created_at":"2026-05-17T23:57:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10509","created_at":"2026-05-17T23:57:20Z"},{"alias_kind":"pith_short_12","alias_value":"C2MPF5A76WB3","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"C2MPF5A76WB3P3WF","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"C2MPF5A7","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:beafda39f024b201d2e3bfaf751045096a819cac4a8b9dfaededc9ec9e982782","target":"graph","created_at":"2026-05-17T23:57:20Z","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 prove short time regularity of suitable weak solutions of 3D incompressible Navier-Stokes equations near a point where the initial data is locally in $L^3$. The result is applied to the regularity problems of solutions with uniformly small local $L^3$ norms, and of forward discretely self-similar solutions.","authors_text":"Hideyuki Miura, Kyungkeun Kang, Tai-Peng Tsai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-26T19:33:31Z","title":"Short time regularity of Navier-Stokes flows with locally $L^3$ initial data and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10509","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":"sha256:109eedd8b56af3761e239913008c4f2006c30b16570af63bea3cd4644914eb5c","target":"record","created_at":"2026-05-17T23:57:20Z","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":"5eef1b1bb04301f7d2b52b8178090471b869d86fddcd89874ad334265299dc1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-12-26T19:33:31Z","title_canon_sha256":"df3ea1564b8f1824867e4b7b833fec6c39e5ae772b2d489c82ae22083af01a22"},"schema_version":"1.0","source":{"id":"1812.10509","kind":"arxiv","version":1}},"canonical_sha256":"1698f2f41ff583b7eec51288637cdcb1cc2f47823917099c6e546565971c1c94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1698f2f41ff583b7eec51288637cdcb1cc2f47823917099c6e546565971c1c94","first_computed_at":"2026-05-17T23:57:20.891572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:20.891572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bNjZgZvdRdWTjl+KWySYJ7EVPcQwTzOSzNeYpgByySQWpt5OnhZmujZlsTc3As2QnysZdhWVm/GYL0rk86PlCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:20.892271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.10509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:109eedd8b56af3761e239913008c4f2006c30b16570af63bea3cd4644914eb5c","sha256:beafda39f024b201d2e3bfaf751045096a819cac4a8b9dfaededc9ec9e982782"],"state_sha256":"53f360430b5bee43235e4f0c0e4c14a8df507b90d0770424ecb20e80ef143e93"}