{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VFUR6DWEYT5E23D6VPIEL5G7DI","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":"a7433a35b324301f6d9080a5fbcebb40276e9d760cd8f6e7f8aa3601d3904554","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-28T03:58:29Z","title_canon_sha256":"7a212b2521ced8ffe3b7874f344e4537fdb447d274ed73f5d3f03fc7b5cd419b"},"schema_version":"1.0","source":{"id":"1408.6625","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6625","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6625v3","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6625","created_at":"2026-05-18T02:19:28Z"},{"alias_kind":"pith_short_12","alias_value":"VFUR6DWEYT5E","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VFUR6DWEYT5E23D6","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VFUR6DWE","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:7cdbfa6bcac60013b606be3c5c4d1e295c4d199af51e9793d35792b187ab889c","target":"graph","created_at":"2026-05-18T02:19:28Z","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":"The 2d Boussinesq equations model large scale atmospheric and oceanic flows. Whether its solutions develop a singularity in finite-time remains a classical open problem in mathematical fluid dynamics. In this work, blowup from smooth nontrivial initial velocities in stagnation-point form solutions of this system is established. On an infinite strip $\\Omega=\\{(x,y)\\in[0,1]\\times\\mathbb{R}^+\\}$, we consider velocities of the form $u=(f(t,x),-yf_x(t,x))$, with scalar temperature\\, $\\theta=y\\rho(t,x)$. Assuming $f_x(0,x)$ attains its global maximum only at points $x_i^*$ located on the boundary of","authors_text":"Alejandro Sarria, Jiahong Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-28T03:58:29Z","title":"Blowup in Stagnation-point Form Solutions of the Inviscid 2d Boussinesq Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6625","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":"sha256:4b2f2a3b056d2fc36b2836928cb7ff0c965b7a21305e94ca2360cc7207e40b40","target":"record","created_at":"2026-05-18T02:19:28Z","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":"a7433a35b324301f6d9080a5fbcebb40276e9d760cd8f6e7f8aa3601d3904554","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-08-28T03:58:29Z","title_canon_sha256":"7a212b2521ced8ffe3b7874f344e4537fdb447d274ed73f5d3f03fc7b5cd419b"},"schema_version":"1.0","source":{"id":"1408.6625","kind":"arxiv","version":3}},"canonical_sha256":"a9691f0ec4c4fa4d6c7eabd045f4df1a32fa4a4db35bdd377514adf9207e31e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9691f0ec4c4fa4d6c7eabd045f4df1a32fa4a4db35bdd377514adf9207e31e6","first_computed_at":"2026-05-18T02:19:28.375480Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:28.375480Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YIqhoirwexaXWxL/CR5ycp8pJDvxT+BAIMF2/yc9aGGnUvgsjO325u/B4tyfieMNwfSP4vFrPDzvoFZXK352CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:28.376140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6625","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b2f2a3b056d2fc36b2836928cb7ff0c965b7a21305e94ca2360cc7207e40b40","sha256:7cdbfa6bcac60013b606be3c5c4d1e295c4d199af51e9793d35792b187ab889c"],"state_sha256":"9cfcf67e5e4d0c7717d6e79f5ad8f2831db5a909d2f4b9784a2902e806697d85"}