{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MOVEAIVQJU6ZHPBF5HPHB2SEOT","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":"546f4fa9afb8a236a2e99888649e60f50f11dfa2763a7433e9e86f1e3b34c4c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T19:47:47Z","title_canon_sha256":"8436bd8110db6bfd2291abdcafeaa5542564f4a81d559e89fbbc92a54c9d790e"},"schema_version":"1.0","source":{"id":"1610.08955","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.08955","created_at":"2026-05-18T01:00:59Z"},{"alias_kind":"arxiv_version","alias_value":"1610.08955v2","created_at":"2026-05-18T01:00:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.08955","created_at":"2026-05-18T01:00:59Z"},{"alias_kind":"pith_short_12","alias_value":"MOVEAIVQJU6Z","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MOVEAIVQJU6ZHPBF","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MOVEAIVQ","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:33ce96a9f20f4b538e4151821773e875bfda410ad5105e59656ae028b96abba6","target":"graph","created_at":"2026-05-18T01:00:59Z","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 investigate a system of nonlocal transport equations in one spatial dimension. The system can be regarded as a model for the 3D Euler equations in the hyperbolic flow scenario. We construct blowup solutions with control up to the blowup time.","authors_text":"Maria Radosz, Vu Hoang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T19:47:47Z","title":"Singular solutions with vorticity control for a nonlocal system of evolution equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.08955","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":"sha256:7d8fbd671614a8db5fb3b0c171924c9b61db799edbc6774419b1aa046f0091d4","target":"record","created_at":"2026-05-18T01:00:59Z","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":"546f4fa9afb8a236a2e99888649e60f50f11dfa2763a7433e9e86f1e3b34c4c5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-10-27T19:47:47Z","title_canon_sha256":"8436bd8110db6bfd2291abdcafeaa5542564f4a81d559e89fbbc92a54c9d790e"},"schema_version":"1.0","source":{"id":"1610.08955","kind":"arxiv","version":2}},"canonical_sha256":"63aa4022b04d3d93bc25e9de70ea4474dddd923c116f4b2e2ad0a9fb70fbce1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63aa4022b04d3d93bc25e9de70ea4474dddd923c116f4b2e2ad0a9fb70fbce1b","first_computed_at":"2026-05-18T01:00:59.502564Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:59.502564Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uxJI92zcUxsqk7w+cV7l3ooe+FbIGg+plNzPmttV124BHfc/y7WDqhIzm5JhlXua+V1MACcH3WpSisUACrE8Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:59.503150Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.08955","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d8fbd671614a8db5fb3b0c171924c9b61db799edbc6774419b1aa046f0091d4","sha256:33ce96a9f20f4b538e4151821773e875bfda410ad5105e59656ae028b96abba6"],"state_sha256":"6a03c1b46efdaaea80e3f0c6f85c6c79dfc4622b97e864f531dba58325d61306"}