{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:4KCOOOZC7RKLGYFYW55W5JVPLK","short_pith_number":"pith:4KCOOOZC","schema_version":"1.0","canonical_sha256":"e284e73b22fc54b360b8b77b6ea6af5abc1bde7d19d6b7fd2d4754b10d54f76d","source":{"kind":"arxiv","id":"2311.16736","version":1},"attestation_state":"computed","paper":{"title":"A solution of 2D incompressible Euler equation with algebraic spiral roll-up in the presence of Wiener type perturbation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Woohyu Jeon","submitted_at":"2023-11-28T12:32:45Z","abstract_excerpt":"Extending the results of Elling \\cite{Elling-2013, Elling-2016}, we construct a weak solution of 2D incompressible Euler equation with initial vorticity of the form $w_0(x)={\\left\\vert x \\right\\vert}^{-1/\\mu}g(\\theta)$, where $g \\in L^p(\\mathbb{T})$ satisfies $\\sum_{\\mathbb{Z}}{\\left\\vert n \\right\\vert}^{-0.5} {\\left\\vert\\widehat{g}(n)\\right\\vert} < \\infty$. In particular, the solution is self-similar and shows algebraic spiral roll-up."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2311.16736","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2023-11-28T12:32:45Z","cross_cats_sorted":[],"title_canon_sha256":"bd67cf285cbf3f3d0022ded283b26787480dc4991256df9a7a40310574b4c2a0","abstract_canon_sha256":"d3c377f6f7f1e57d546b307d4925e6c2b1cf794be815ea9c4de116cf8dbd9a18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:17:45.793012Z","signature_b64":"k1VqybUdsmV9f/sLW+AO62jkSsfXGKKZzyJ127NZ7dp7R0rkLovW7n8tjWPgiT00HjBpVDU+LrHmbd1g/OIWDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e284e73b22fc54b360b8b77b6ea6af5abc1bde7d19d6b7fd2d4754b10d54f76d","last_reissued_at":"2026-07-05T07:17:45.792562Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:17:45.792562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A solution of 2D incompressible Euler equation with algebraic spiral roll-up in the presence of Wiener type perturbation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Woohyu Jeon","submitted_at":"2023-11-28T12:32:45Z","abstract_excerpt":"Extending the results of Elling \\cite{Elling-2013, Elling-2016}, we construct a weak solution of 2D incompressible Euler equation with initial vorticity of the form $w_0(x)={\\left\\vert x \\right\\vert}^{-1/\\mu}g(\\theta)$, where $g \\in L^p(\\mathbb{T})$ satisfies $\\sum_{\\mathbb{Z}}{\\left\\vert n \\right\\vert}^{-0.5} {\\left\\vert\\widehat{g}(n)\\right\\vert} < \\infty$. In particular, the solution is self-similar and shows algebraic spiral roll-up."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.16736","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.16736/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2311.16736","created_at":"2026-07-05T07:17:45.792620+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.16736v1","created_at":"2026-07-05T07:17:45.792620+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.16736","created_at":"2026-07-05T07:17:45.792620+00:00"},{"alias_kind":"pith_short_12","alias_value":"4KCOOOZC7RKL","created_at":"2026-07-05T07:17:45.792620+00:00"},{"alias_kind":"pith_short_16","alias_value":"4KCOOOZC7RKLGYFY","created_at":"2026-07-05T07:17:45.792620+00:00"},{"alias_kind":"pith_short_8","alias_value":"4KCOOOZC","created_at":"2026-07-05T07:17:45.792620+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.05059","citing_title":"Asymmetric Self-similar Spiral Solutions of 2-D Incomressible Euler Equations","ref_index":29,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK","json":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK.json","graph_json":"https://pith.science/api/pith-number/4KCOOOZC7RKLGYFYW55W5JVPLK/graph.json","events_json":"https://pith.science/api/pith-number/4KCOOOZC7RKLGYFYW55W5JVPLK/events.json","paper":"https://pith.science/paper/4KCOOOZC"},"agent_actions":{"view_html":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK","download_json":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK.json","view_paper":"https://pith.science/paper/4KCOOOZC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.16736&json=true","fetch_graph":"https://pith.science/api/pith-number/4KCOOOZC7RKLGYFYW55W5JVPLK/graph.json","fetch_events":"https://pith.science/api/pith-number/4KCOOOZC7RKLGYFYW55W5JVPLK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK/action/storage_attestation","attest_author":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK/action/author_attestation","sign_citation":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK/action/citation_signature","submit_replication":"https://pith.science/pith/4KCOOOZC7RKLGYFYW55W5JVPLK/action/replication_record"}},"created_at":"2026-07-05T07:17:45.792620+00:00","updated_at":"2026-07-05T07:17:45.792620+00:00"}