{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:XW2IFOWEGVFPIXPCJJYZQLG2FI","short_pith_number":"pith:XW2IFOWE","schema_version":"1.0","canonical_sha256":"bdb482bac4354af45de24a71982cda2a0e1212161998d103ce99ec8769bf9bbd","source":{"kind":"arxiv","id":"2105.10982","version":1},"attestation_state":"computed","paper":{"title":"Well-posedness for SQG sharp fronts with unbounded curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francisco Gancedo, Huy Q. Nguyen, Neel Patel","submitted_at":"2021-05-23T17:47:43Z","abstract_excerpt":"Patch solutions for the surface quasigeostrophic (SQG) equation model sharp temperature fronts in atmospheric and oceanic flows. We establish local well-posedness for SQG sharp fronts of low Sobolev regularity, $H^{2+s}$ for arbitrarily small $s>0$, allowing for fronts with unbounded curvature."},"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":"2105.10982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2021-05-23T17:47:43Z","cross_cats_sorted":[],"title_canon_sha256":"19f4dc9b79378d25618585e2b4f398a56129261f108bb993ebc4e7fcfb97da71","abstract_canon_sha256":"a42e48569c3215bd655cceaa31b9b0dd9b716c3bc7e114bef7faec46c53af319"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:42:34.314675Z","signature_b64":"Dnc6GrC4ftyMMUgClspOyOxPfKzovcgK94g4E2vNojI2Pc0cMbZg5v0ZNFtFUbIsXl/DuT13umiOSpCNSa6LBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bdb482bac4354af45de24a71982cda2a0e1212161998d103ce99ec8769bf9bbd","last_reissued_at":"2026-07-05T02:42:34.314240Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:42:34.314240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Well-posedness for SQG sharp fronts with unbounded curvature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Francisco Gancedo, Huy Q. Nguyen, Neel Patel","submitted_at":"2021-05-23T17:47:43Z","abstract_excerpt":"Patch solutions for the surface quasigeostrophic (SQG) equation model sharp temperature fronts in atmospheric and oceanic flows. We establish local well-posedness for SQG sharp fronts of low Sobolev regularity, $H^{2+s}$ for arbitrarily small $s>0$, allowing for fronts with unbounded curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.10982","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/2105.10982/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":"2105.10982","created_at":"2026-07-05T02:42:34.314302+00:00"},{"alias_kind":"arxiv_version","alias_value":"2105.10982v1","created_at":"2026-07-05T02:42:34.314302+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.10982","created_at":"2026-07-05T02:42:34.314302+00:00"},{"alias_kind":"pith_short_12","alias_value":"XW2IFOWEGVFP","created_at":"2026-07-05T02:42:34.314302+00:00"},{"alias_kind":"pith_short_16","alias_value":"XW2IFOWEGVFPIXPC","created_at":"2026-07-05T02:42:34.314302+00:00"},{"alias_kind":"pith_short_8","alias_value":"XW2IFOWE","created_at":"2026-07-05T02:42:34.314302+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2311.07551","citing_title":"Low regularity well-posedness for the generalized surface quasi-geostrophic front equation","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI","json":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI.json","graph_json":"https://pith.science/api/pith-number/XW2IFOWEGVFPIXPCJJYZQLG2FI/graph.json","events_json":"https://pith.science/api/pith-number/XW2IFOWEGVFPIXPCJJYZQLG2FI/events.json","paper":"https://pith.science/paper/XW2IFOWE"},"agent_actions":{"view_html":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI","download_json":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI.json","view_paper":"https://pith.science/paper/XW2IFOWE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2105.10982&json=true","fetch_graph":"https://pith.science/api/pith-number/XW2IFOWEGVFPIXPCJJYZQLG2FI/graph.json","fetch_events":"https://pith.science/api/pith-number/XW2IFOWEGVFPIXPCJJYZQLG2FI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI/action/storage_attestation","attest_author":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI/action/author_attestation","sign_citation":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI/action/citation_signature","submit_replication":"https://pith.science/pith/XW2IFOWEGVFPIXPCJJYZQLG2FI/action/replication_record"}},"created_at":"2026-07-05T02:42:34.314302+00:00","updated_at":"2026-07-05T02:42:34.314302+00:00"}