{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:U6ZIXPP4N224VMB37VU6KT6MIX","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":"576b4e3c9a69deb889f38efb37307e2212ed31da4fe0e29702bdae6d8e7a340a","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-07-15T15:26:13Z","title_canon_sha256":"01bbd01c6428946b37230f960f1f7728d6fd8457a5de447ac54b4554a9dff961"},"schema_version":"1.0","source":{"id":"1007.2587","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2587","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2587v3","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2587","created_at":"2026-05-18T04:18:45Z"},{"alias_kind":"pith_short_12","alias_value":"U6ZIXPP4N224","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"U6ZIXPP4N224VMB3","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"U6ZIXPP4","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:c52861d2d0f3c079bccae5c6b581465a97d5585876a51d9313b35dab61d45107","target":"graph","created_at":"2026-05-18T04:18:45Z","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 by an explicit construction that solutions to incompressible 3D Euler equations defined in the periodic cube can be mapped bijectively to a new system of equations whose solutions are globally regular. We establish that the usual Beale-Kato-Majda criterion for finite-time singularity (or blowup) of a solution to the 3D Euler system is equivalent to a condition on the corresponding \\emph{regular} solution of the new system. In the hypothetical case of Euler finite-time singularity, we provide an explicit formula for the blowup time in terms of the regular solution of the new system. Th","authors_text":"Miguel D. Bustamante","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-07-15T15:26:13Z","title":"3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2587","kind":"arxiv","version":3},"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":"sha256:9101dfe500c8ca16b6df0a2b4f81ae38e18c3bf1435590be3dc5f5eb8e28d8ac","target":"record","created_at":"2026-05-18T04:18:45Z","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":"576b4e3c9a69deb889f38efb37307e2212ed31da4fe0e29702bdae6d8e7a340a","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2010-07-15T15:26:13Z","title_canon_sha256":"01bbd01c6428946b37230f960f1f7728d6fd8457a5de447ac54b4554a9dff961"},"schema_version":"1.0","source":{"id":"1007.2587","kind":"arxiv","version":3}},"canonical_sha256":"a7b28bbdfc6eb5cab03bfd69e54fcc45fec01f6c7ed059dfbc0222b1b8634357","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7b28bbdfc6eb5cab03bfd69e54fcc45fec01f6c7ed059dfbc0222b1b8634357","first_computed_at":"2026-05-18T04:18:45.042038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:45.042038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dAsNh5+f17158LNoRxYgte53En5ZkGkUZzjz5UpsiMEcasKkh1rfmoxf7IulLKH85P4RkyXL9ArIzFj+SwsJAg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:45.042769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.2587","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9101dfe500c8ca16b6df0a2b4f81ae38e18c3bf1435590be3dc5f5eb8e28d8ac","sha256:c52861d2d0f3c079bccae5c6b581465a97d5585876a51d9313b35dab61d45107"],"state_sha256":"d8206056e3f4fba3811eea7e32287bdda6a34375a4c28f6296095ce353d4f515"}