{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:FR5HBSKMI5EY22HBGSMFFDUTM3","short_pith_number":"pith:FR5HBSKM","schema_version":"1.0","canonical_sha256":"2c7a70c94c47498d68e13498528e9366fa78a2d0c6749f5eab0b568a26c26b2b","source":{"kind":"arxiv","id":"1312.5755","version":1},"attestation_state":"computed","paper":{"title":"On Gevrey Regularity of the Supercritical SQG equation in Critical Besov Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Animikh Biswas, Prabath Silva, Vincent Martinez","submitted_at":"2013-12-19T21:15:23Z","abstract_excerpt":"In this paper we show that the solution of the supercrti- cal surface quasi-geostrophic (SQG) equation, starting from initial data in homogeneous critical Besov spaces belong to a subanalytic Gevrey class. In particular, we improve upon the result of Dong and Li in [26], where they showed that the solutions of Chen-Miao-Zhang (cf. [11]) are classical solutions. We extend the approach of Biswas (cf. [7]) to critical, L^p -based Besov spaces, and adapt the point of view of Lemarie- Rieusset (cf. [36]), who treated the operator arising from applying the analytic Gevrey operator to a product of an"},"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":"1312.5755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-19T21:15:23Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"7d6e945c67d6b85fc37c13f958ec9402d1696483f98e611ef0e73eb662dae9f4","abstract_canon_sha256":"711418594ca11a84e4b3443c5208193ff28604dc382158cfd37f2a598d7082e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:07.939806Z","signature_b64":"kyfUT1hH1eeNCLJYtuRo0CSlG5tJfHKgvDu+PYpO4Os6btKipSnDXxND08teWU8vnb8rKiO8CDiePsG6zt2hBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c7a70c94c47498d68e13498528e9366fa78a2d0c6749f5eab0b568a26c26b2b","last_reissued_at":"2026-05-18T03:04:07.939077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:07.939077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Gevrey Regularity of the Supercritical SQG equation in Critical Besov Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AP","authors_text":"Animikh Biswas, Prabath Silva, Vincent Martinez","submitted_at":"2013-12-19T21:15:23Z","abstract_excerpt":"In this paper we show that the solution of the supercrti- cal surface quasi-geostrophic (SQG) equation, starting from initial data in homogeneous critical Besov spaces belong to a subanalytic Gevrey class. In particular, we improve upon the result of Dong and Li in [26], where they showed that the solutions of Chen-Miao-Zhang (cf. [11]) are classical solutions. We extend the approach of Biswas (cf. [7]) to critical, L^p -based Besov spaces, and adapt the point of view of Lemarie- Rieusset (cf. [36]), who treated the operator arising from applying the analytic Gevrey operator to a product of an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5755","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":"1312.5755","created_at":"2026-05-18T03:04:07.939200+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.5755v1","created_at":"2026-05-18T03:04:07.939200+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5755","created_at":"2026-05-18T03:04:07.939200+00:00"},{"alias_kind":"pith_short_12","alias_value":"FR5HBSKMI5EY","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"FR5HBSKMI5EY22HB","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"FR5HBSKM","created_at":"2026-05-18T12:27:45.050594+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/FR5HBSKMI5EY22HBGSMFFDUTM3","json":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3.json","graph_json":"https://pith.science/api/pith-number/FR5HBSKMI5EY22HBGSMFFDUTM3/graph.json","events_json":"https://pith.science/api/pith-number/FR5HBSKMI5EY22HBGSMFFDUTM3/events.json","paper":"https://pith.science/paper/FR5HBSKM"},"agent_actions":{"view_html":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3","download_json":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3.json","view_paper":"https://pith.science/paper/FR5HBSKM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.5755&json=true","fetch_graph":"https://pith.science/api/pith-number/FR5HBSKMI5EY22HBGSMFFDUTM3/graph.json","fetch_events":"https://pith.science/api/pith-number/FR5HBSKMI5EY22HBGSMFFDUTM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3/action/storage_attestation","attest_author":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3/action/author_attestation","sign_citation":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3/action/citation_signature","submit_replication":"https://pith.science/pith/FR5HBSKMI5EY22HBGSMFFDUTM3/action/replication_record"}},"created_at":"2026-05-18T03:04:07.939200+00:00","updated_at":"2026-05-18T03:04:07.939200+00:00"}