{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:THEUDZJPK6AUWS5MS3DVDTDAOA","short_pith_number":"pith:THEUDZJP","schema_version":"1.0","canonical_sha256":"99c941e52f57814b4bac96c751cc60703db37cf2a9a19320f930608aefd39c55","source":{"kind":"arxiv","id":"2506.06601","version":1},"attestation_state":"computed","paper":{"title":"Wellposedness of inviscid SQG in the half-plane","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hideyuki Miura, In-Jee Jeong, Junha Kim","submitted_at":"2025-06-07T00:26:51Z","abstract_excerpt":"We consider the SQG equation without dissipation on the half-plane with Dirichlet boundary condition, and prove local wellposedness in the spaces $W^{3,p}$ and $C^{2,\\beta}$ for any $1<p<\\infty$ and $0<\\beta<1$. We complement this wellposedness by showing that for generic $C^{\\infty}_{0}$ initial data, the unique corresponding solution does not belong to $W^{3,\\infty}$."},"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":"2506.06601","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AP","submitted_at":"2025-06-07T00:26:51Z","cross_cats_sorted":[],"title_canon_sha256":"b1b223f28ce64ac78e8a0c71b5e7732cf55565fc083e0da1c3b90eecdbea42ff","abstract_canon_sha256":"c4ffb6f72970ebfce87988935f6664349fc4e00ebcfea1fef8c571d4fdf34d36"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:17:52.663242Z","signature_b64":"htH2Mi/AvREWx3MCJtJPRF04NFm75Wc14ZuSr/zardXjWdNxHarPbvUs/5UgNmJG6BCeJBY1q4j2g57rbZQQBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99c941e52f57814b4bac96c751cc60703db37cf2a9a19320f930608aefd39c55","last_reissued_at":"2026-07-05T11:17:52.662779Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:17:52.662779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Wellposedness of inviscid SQG in the half-plane","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hideyuki Miura, In-Jee Jeong, Junha Kim","submitted_at":"2025-06-07T00:26:51Z","abstract_excerpt":"We consider the SQG equation without dissipation on the half-plane with Dirichlet boundary condition, and prove local wellposedness in the spaces $W^{3,p}$ and $C^{2,\\beta}$ for any $1<p<\\infty$ and $0<\\beta<1$. We complement this wellposedness by showing that for generic $C^{\\infty}_{0}$ initial data, the unique corresponding solution does not belong to $W^{3,\\infty}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.06601","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/2506.06601/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":"2506.06601","created_at":"2026-07-05T11:17:52.662839+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.06601v1","created_at":"2026-07-05T11:17:52.662839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.06601","created_at":"2026-07-05T11:17:52.662839+00:00"},{"alias_kind":"pith_short_12","alias_value":"THEUDZJPK6AU","created_at":"2026-07-05T11:17:52.662839+00:00"},{"alias_kind":"pith_short_16","alias_value":"THEUDZJPK6AUWS5M","created_at":"2026-07-05T11:17:52.662839+00:00"},{"alias_kind":"pith_short_8","alias_value":"THEUDZJP","created_at":"2026-07-05T11:17:52.662839+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.01268","citing_title":"Global Existence, Hamiltonian Conservation and Vanishing Viscosity for the Surface Quasi-Geostrophic Equation","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA","json":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA.json","graph_json":"https://pith.science/api/pith-number/THEUDZJPK6AUWS5MS3DVDTDAOA/graph.json","events_json":"https://pith.science/api/pith-number/THEUDZJPK6AUWS5MS3DVDTDAOA/events.json","paper":"https://pith.science/paper/THEUDZJP"},"agent_actions":{"view_html":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA","download_json":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA.json","view_paper":"https://pith.science/paper/THEUDZJP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.06601&json=true","fetch_graph":"https://pith.science/api/pith-number/THEUDZJPK6AUWS5MS3DVDTDAOA/graph.json","fetch_events":"https://pith.science/api/pith-number/THEUDZJPK6AUWS5MS3DVDTDAOA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA/action/storage_attestation","attest_author":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA/action/author_attestation","sign_citation":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA/action/citation_signature","submit_replication":"https://pith.science/pith/THEUDZJPK6AUWS5MS3DVDTDAOA/action/replication_record"}},"created_at":"2026-07-05T11:17:52.662839+00:00","updated_at":"2026-07-05T11:17:52.662839+00:00"}