{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4GMMYQR6VADDA6M6UQ35JZU333","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":"44ab3447646119db22fd3dfcbd00f8d9d13d9bcf34aebef1f366550707006ff3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-22T05:56:46Z","title_canon_sha256":"478d21392f54ab8354a524e3af1059ccb3e2857d4fff8097dccff23b77420291"},"schema_version":"1.0","source":{"id":"1407.5740","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.5740","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"1407.5740v2","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5740","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"4GMMYQR6VADD","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4GMMYQR6VADDA6M6","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4GMMYQR6","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:da88156a76ad77965966936acd0fba7fb4baffaa969264c2a408b78173d2be2f","target":"graph","created_at":"2026-05-18T02:26:45Z","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 investigate the self-similar singularity of a 1D model for the 3D axisymmetric Euler equations, which is motivated by a particular singularity formation scenario observed in numerical computation. We prove the existence of a discrete family of self-similar profiles for this model and analyze their far-field properties. The self-similar profiles we find agree with direct simulation of the model and seem to have some stability.","authors_text":"Pengfei Liu, Thomas Y. Hou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-22T05:56:46Z","title":"Self-similar Singularity of a 1D Model for the 3D Axisymmetric Euler Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5740","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":"sha256:56517f0dd4c74c11be1e6051df5838baec0e81fe1f74015378c2b0b6d7b64e6a","target":"record","created_at":"2026-05-18T02:26:45Z","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":"44ab3447646119db22fd3dfcbd00f8d9d13d9bcf34aebef1f366550707006ff3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-07-22T05:56:46Z","title_canon_sha256":"478d21392f54ab8354a524e3af1059ccb3e2857d4fff8097dccff23b77420291"},"schema_version":"1.0","source":{"id":"1407.5740","kind":"arxiv","version":2}},"canonical_sha256":"e198cc423ea80630799ea437d4e69bdeff96e47dee24ee6cc56ca0b124dae2a6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e198cc423ea80630799ea437d4e69bdeff96e47dee24ee6cc56ca0b124dae2a6","first_computed_at":"2026-05-18T02:26:45.387792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:45.387792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RNo5xbZ6oWmo1NOX0xvbksH/7SFWO2TKP4YXM8LGS0SfbXxG5w/LYLQgzjmq4Q4TO5pU2lQTdIiURZS59kGdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:45.388244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.5740","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56517f0dd4c74c11be1e6051df5838baec0e81fe1f74015378c2b0b6d7b64e6a","sha256:da88156a76ad77965966936acd0fba7fb4baffaa969264c2a408b78173d2be2f"],"state_sha256":"5ea8d70751eaebdd7239d0420faaae4fd8d4ba56918047ab668bd28a977eea67"}