{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:JMRUTBQHAM3UDA3LYKNAOWWA5J","short_pith_number":"pith:JMRUTBQH","schema_version":"1.0","canonical_sha256":"4b23498607033741836bc29a075ac0ea493c59fc49f7be4f4b34685ffd077576","source":{"kind":"arxiv","id":"1310.1624","version":1},"attestation_state":"computed","paper":{"title":"Analyticity of the Subcritical and Critical Quasi-Geostrophic equations in Besov Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Animikh Biswas, Eitan Tadmor, Hantaek Bae","submitted_at":"2013-10-06T20:03:01Z","abstract_excerpt":"We establish analyticity of the subcritical and critical quasi-geostrophic equations in critical Besov spaces. The main method is so-called Gevrey estimates, which is motivated by the work of Foias and Temam. We show that mild solutions \\theta(t), are Gevrey regular, i.e. they satisfy the estimate \\sup_{t>0}\\|e^{\\alpha t^{1/\\gamma}\\Lambda_1}\\theta(t)\\|_{\\cap L}<\\infty. for a suitably chosen \\alpha>0 and a scaling invariant Besov space {\\cap L}."},"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":"1310.1624","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-10-06T20:03:01Z","cross_cats_sorted":[],"title_canon_sha256":"415d2019e405132652c610f5a180e1961c8bf8afaac1578d4d177a226f0d20ca","abstract_canon_sha256":"1b5c299302df745139ccc51a1231d5fd99002ba648c5dca63785d592339ffc4a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:11.210910Z","signature_b64":"aBJv1ZmEAKzah+4XlhZ4psE3ZZo7mp00OytA5T1D7ZOKYsu7Iv611QmraHXarAeMMi+Drl/YiUj93q90WFejDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4b23498607033741836bc29a075ac0ea493c59fc49f7be4f4b34685ffd077576","last_reissued_at":"2026-05-18T03:11:11.210101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:11.210101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analyticity of the Subcritical and Critical Quasi-Geostrophic equations in Besov Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Animikh Biswas, Eitan Tadmor, Hantaek Bae","submitted_at":"2013-10-06T20:03:01Z","abstract_excerpt":"We establish analyticity of the subcritical and critical quasi-geostrophic equations in critical Besov spaces. The main method is so-called Gevrey estimates, which is motivated by the work of Foias and Temam. We show that mild solutions \\theta(t), are Gevrey regular, i.e. they satisfy the estimate \\sup_{t>0}\\|e^{\\alpha t^{1/\\gamma}\\Lambda_1}\\theta(t)\\|_{\\cap L}<\\infty. for a suitably chosen \\alpha>0 and a scaling invariant Besov space {\\cap L}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.1624","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":""},"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":"1310.1624","created_at":"2026-05-18T03:11:11.210226+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.1624v1","created_at":"2026-05-18T03:11:11.210226+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.1624","created_at":"2026-05-18T03:11:11.210226+00:00"},{"alias_kind":"pith_short_12","alias_value":"JMRUTBQHAM3U","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_16","alias_value":"JMRUTBQHAM3UDA3L","created_at":"2026-05-18T12:27:49.015174+00:00"},{"alias_kind":"pith_short_8","alias_value":"JMRUTBQH","created_at":"2026-05-18T12:27:49.015174+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J","json":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J.json","graph_json":"https://pith.science/api/pith-number/JMRUTBQHAM3UDA3LYKNAOWWA5J/graph.json","events_json":"https://pith.science/api/pith-number/JMRUTBQHAM3UDA3LYKNAOWWA5J/events.json","paper":"https://pith.science/paper/JMRUTBQH"},"agent_actions":{"view_html":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J","download_json":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J.json","view_paper":"https://pith.science/paper/JMRUTBQH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.1624&json=true","fetch_graph":"https://pith.science/api/pith-number/JMRUTBQHAM3UDA3LYKNAOWWA5J/graph.json","fetch_events":"https://pith.science/api/pith-number/JMRUTBQHAM3UDA3LYKNAOWWA5J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J/action/storage_attestation","attest_author":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J/action/author_attestation","sign_citation":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J/action/citation_signature","submit_replication":"https://pith.science/pith/JMRUTBQHAM3UDA3LYKNAOWWA5J/action/replication_record"}},"created_at":"2026-05-18T03:11:11.210226+00:00","updated_at":"2026-05-18T03:11:11.210226+00:00"}