{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UPIN4GGJONCTZS3S7ZTKWMORQM","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":"8b45c873fe0f18e5ce2e56af408a04f278d8148ae0f19df7e587b265aefe5f64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-07T09:50:06Z","title_canon_sha256":"0b4d88f337642d00b1988990747c860ef427b538135f06870f87bba7661de6fc"},"schema_version":"1.0","source":{"id":"1805.02419","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02419","created_at":"2026-05-18T00:15:27Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02419v2","created_at":"2026-05-18T00:15:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02419","created_at":"2026-05-18T00:15:27Z"},{"alias_kind":"pith_short_12","alias_value":"UPIN4GGJONCT","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UPIN4GGJONCTZS3S","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UPIN4GGJ","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:b52ddcc638e926f9b75ee1c987875ab63b5685b35f0060f4b3bc46074820cea6","target":"graph","created_at":"2026-05-18T00:15:27Z","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 construct examples of blowup from smooth data for complex-valued solutions to linear uniformly parabolic equations in dimension $n \\geq 2$, which are exactly as irregular as parabolic energy estimates allow.","authors_text":"Connor Mooney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-07T09:50:06Z","title":"Singularities of complex-valued solutions to linear parabolic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02419","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":"sha256:164014310c1b96b3d44dee77d4090a8efa250b3a6fe3378f7799ca9a1fc903b9","target":"record","created_at":"2026-05-18T00:15:27Z","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":"8b45c873fe0f18e5ce2e56af408a04f278d8148ae0f19df7e587b265aefe5f64","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-05-07T09:50:06Z","title_canon_sha256":"0b4d88f337642d00b1988990747c860ef427b538135f06870f87bba7661de6fc"},"schema_version":"1.0","source":{"id":"1805.02419","kind":"arxiv","version":2}},"canonical_sha256":"a3d0de18c973453ccb72fe66ab31d183089d06e34305eefd62d2913629b4cce2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3d0de18c973453ccb72fe66ab31d183089d06e34305eefd62d2913629b4cce2","first_computed_at":"2026-05-18T00:15:27.570226Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:27.570226Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mNtnYyg29B/1eGzSbRXP8toY8YuK69HVEB6IzEZz1u2JiNQbnJbTtj8RZD2KUmwxOB8lvXnHtAjhNbgxQFKsAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:27.571173Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02419","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:164014310c1b96b3d44dee77d4090a8efa250b3a6fe3378f7799ca9a1fc903b9","sha256:b52ddcc638e926f9b75ee1c987875ab63b5685b35f0060f4b3bc46074820cea6"],"state_sha256":"34b0943b368c29ea0d63b2fec247e4e59972800c832d5d47af76e338094c3457"}