{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:JFHJVB4OGMTNTOK5PSOWFJ7ZQJ","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":"7350cb13d984a9da4a585b8fac89ffcf7205e094a16dda9b64896895684cc222","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-18T15:21:10Z","title_canon_sha256":"839fa4b8122563d82e5b9837cecd3c888eccc13d4e3e58a3d644627d52fae0f2"},"schema_version":"1.0","source":{"id":"1209.3988","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3988","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3988v1","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3988","created_at":"2026-05-18T03:06:13Z"},{"alias_kind":"pith_short_12","alias_value":"JFHJVB4OGMTN","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"JFHJVB4OGMTNTOK5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"JFHJVB4O","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:cd4df786517b2da3d154ce3050259a73db579b026c27a25b38ad497621333e24","target":"graph","created_at":"2026-05-18T03:06:13Z","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":"Steady vortices for the three-dimensional Euler equation for inviscid incompressible flows and for the shallow water equation are constructed and showed to tend asymptotically to singular vortex filaments. The construction is based on the asymptotic study of solutions to a semilinear elliptic problem.","authors_text":"Jean Van Schaftingen, S\\'ebastien de Valeriola","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-18T15:21:10Z","title":"Desingularization of vortex rings and shallow water vortices by semilinear elliptic problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3988","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:c7c5e24e97943fe97f4c7dfe6ba4e68ec2d474c034b324159df9b47c92788eac","target":"record","created_at":"2026-05-18T03:06:13Z","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":"7350cb13d984a9da4a585b8fac89ffcf7205e094a16dda9b64896895684cc222","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2012-09-18T15:21:10Z","title_canon_sha256":"839fa4b8122563d82e5b9837cecd3c888eccc13d4e3e58a3d644627d52fae0f2"},"schema_version":"1.0","source":{"id":"1209.3988","kind":"arxiv","version":1}},"canonical_sha256":"494e9a878e3326d9b95d7c9d62a7f98279af488c298848672b0b076438bdb223","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"494e9a878e3326d9b95d7c9d62a7f98279af488c298848672b0b076438bdb223","first_computed_at":"2026-05-18T03:06:13.670301Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:06:13.670301Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m73DWv5rBY4v1UUd9gWfxpA9R/nbQEmz4UPsHyGP4d45FCocGh92MmR400P5jZB1IwmYp2nS9UCRLC9odxsnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:06:13.670799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3988","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c7c5e24e97943fe97f4c7dfe6ba4e68ec2d474c034b324159df9b47c92788eac","sha256:cd4df786517b2da3d154ce3050259a73db579b026c27a25b38ad497621333e24"],"state_sha256":"978511708815c69737c1dc8064fb3ca4ead45e38a1d1ae2e7915b0213f0f5514"}