{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VXWB7DJE2W5ORACTCHCOJU7LA5","short_pith_number":"pith:VXWB7DJE","canonical_record":{"source":{"id":"2402.19439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-29T18:41:35Z","cross_cats_sorted":[],"title_canon_sha256":"313e4b1be49faca177505883f7aca6f399a9b336aa5e1375c8ca2488a84cecce","abstract_canon_sha256":"1e89d5c3bbf48e7d105baca7a1b5f3fa47523ae40bedfe4a2bd19681da2f2858"},"schema_version":"1.0"},"canonical_sha256":"adec1f8d24d5bae8805311c4e4d3eb074618b7a1d2edc5ebaec9512e9d37d201","source":{"kind":"arxiv","id":"2402.19439","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.19439","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"arxiv_version","alias_value":"2402.19439v1","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.19439","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"pith_short_12","alias_value":"VXWB7DJE2W5O","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"pith_short_16","alias_value":"VXWB7DJE2W5ORACT","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"pith_short_8","alias_value":"VXWB7DJE","created_at":"2026-07-05T07:50:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VXWB7DJE2W5ORACTCHCOJU7LA5","target":"record","payload":{"canonical_record":{"source":{"id":"2402.19439","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-29T18:41:35Z","cross_cats_sorted":[],"title_canon_sha256":"313e4b1be49faca177505883f7aca6f399a9b336aa5e1375c8ca2488a84cecce","abstract_canon_sha256":"1e89d5c3bbf48e7d105baca7a1b5f3fa47523ae40bedfe4a2bd19681da2f2858"},"schema_version":"1.0"},"canonical_sha256":"adec1f8d24d5bae8805311c4e4d3eb074618b7a1d2edc5ebaec9512e9d37d201","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:50:45.271644Z","signature_b64":"3H92MVQxLaqJQs1jDHSvhI/outMGwSNRjESnu3YuXhTcExWIvAisPYEacXr9Q0DUpCVZjkjOVTjXZIzIGQ+NAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adec1f8d24d5bae8805311c4e4d3eb074618b7a1d2edc5ebaec9512e9d37d201","last_reissued_at":"2026-07-05T07:50:45.271139Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:50:45.271139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.19439","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:50:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G6vPEjzuXAzF9lFddP4zCr99BAqLqLqt2zOz/dHPukYxZKgeuk2J/MLmYhCQxdcEPg3zxPLOPLG4m1Nf/NluDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T14:19:11.712470Z"},"content_sha256":"9dec4aa986d858548f4c8a5d7762345497130e4ff4467b696dea679c3a01ed22","schema_version":"1.0","event_id":"sha256:9dec4aa986d858548f4c8a5d7762345497130e4ff4467b696dea679c3a01ed22"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VXWB7DJE2W5ORACTCHCOJU7LA5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global well-posedness for supercritical SQG with perturbations of radially symmetric data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Aynur Bulut, Hongjie Dong","submitted_at":"2024-02-29T18:41:35Z","abstract_excerpt":"We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness is known, achieving global well-posedness for large initial data remains open. Motivated by enhanced decay in radial solutions, we aim to establish global well-posedness for small perturbations of potentially large radial data. Our main result shows that for small perturbations of radial data, the SQG equation admits a unique global solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.19439","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/2402.19439/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:50:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G2E9xDMP+mJ8KSIyxPcXOI77yIxtqtSn+GFxq98E8hY1JMlaaylyifah/AuGOBOvOUzl9oPqiaplZF0gFHPqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T14:19:11.713476Z"},"content_sha256":"49f331a520b25ef3488cc14ea7506a2b08f738dc457efb87a5018ccaf71f905a","schema_version":"1.0","event_id":"sha256:49f331a520b25ef3488cc14ea7506a2b08f738dc457efb87a5018ccaf71f905a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXWB7DJE2W5ORACTCHCOJU7LA5/bundle.json","state_url":"https://pith.science/pith/VXWB7DJE2W5ORACTCHCOJU7LA5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXWB7DJE2W5ORACTCHCOJU7LA5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-06T14:19:11Z","links":{"resolver":"https://pith.science/pith/VXWB7DJE2W5ORACTCHCOJU7LA5","bundle":"https://pith.science/pith/VXWB7DJE2W5ORACTCHCOJU7LA5/bundle.json","state":"https://pith.science/pith/VXWB7DJE2W5ORACTCHCOJU7LA5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXWB7DJE2W5ORACTCHCOJU7LA5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VXWB7DJE2W5ORACTCHCOJU7LA5","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1e89d5c3bbf48e7d105baca7a1b5f3fa47523ae40bedfe4a2bd19681da2f2858","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-29T18:41:35Z","title_canon_sha256":"313e4b1be49faca177505883f7aca6f399a9b336aa5e1375c8ca2488a84cecce"},"schema_version":"1.0","source":{"id":"2402.19439","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.19439","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"arxiv_version","alias_value":"2402.19439v1","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.19439","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"pith_short_12","alias_value":"VXWB7DJE2W5O","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"pith_short_16","alias_value":"VXWB7DJE2W5ORACT","created_at":"2026-07-05T07:50:45Z"},{"alias_kind":"pith_short_8","alias_value":"VXWB7DJE","created_at":"2026-07-05T07:50:45Z"}],"graph_snapshots":[{"event_id":"sha256:49f331a520b25ef3488cc14ea7506a2b08f738dc457efb87a5018ccaf71f905a","target":"graph","created_at":"2026-07-05T07:50:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2402.19439/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the global well-posedness of the supercritical dissipative surface quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics. While local well-posedness is known, achieving global well-posedness for large initial data remains open. Motivated by enhanced decay in radial solutions, we aim to establish global well-posedness for small perturbations of potentially large radial data. Our main result shows that for small perturbations of radial data, the SQG equation admits a unique global solution.","authors_text":"Aynur Bulut, Hongjie Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-29T18:41:35Z","title":"Global well-posedness for supercritical SQG with perturbations of radially symmetric data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.19439","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9dec4aa986d858548f4c8a5d7762345497130e4ff4467b696dea679c3a01ed22","target":"record","created_at":"2026-07-05T07:50:45Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1e89d5c3bbf48e7d105baca7a1b5f3fa47523ae40bedfe4a2bd19681da2f2858","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2024-02-29T18:41:35Z","title_canon_sha256":"313e4b1be49faca177505883f7aca6f399a9b336aa5e1375c8ca2488a84cecce"},"schema_version":"1.0","source":{"id":"2402.19439","kind":"arxiv","version":1}},"canonical_sha256":"adec1f8d24d5bae8805311c4e4d3eb074618b7a1d2edc5ebaec9512e9d37d201","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"adec1f8d24d5bae8805311c4e4d3eb074618b7a1d2edc5ebaec9512e9d37d201","first_computed_at":"2026-07-05T07:50:45.271139Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:50:45.271139Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3H92MVQxLaqJQs1jDHSvhI/outMGwSNRjESnu3YuXhTcExWIvAisPYEacXr9Q0DUpCVZjkjOVTjXZIzIGQ+NAA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:50:45.271644Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.19439","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9dec4aa986d858548f4c8a5d7762345497130e4ff4467b696dea679c3a01ed22","sha256:49f331a520b25ef3488cc14ea7506a2b08f738dc457efb87a5018ccaf71f905a"],"state_sha256":"dd57fd573dfe2770cecd659d1f72ac162537e8491c8b12827e2250dd738c91e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jU9STU+tlDCWva29dJ5kbgSi9AAK4IgPK5NzCfGCUSksAN0hw1ChSPPQNp0jlh+mwMtH7mgJW2+iaIh8xg9+BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T14:19:11.720444Z","bundle_sha256":"6b53d7ae63a4373e8ad8ca6bdaf3dbf74fc677af905e106835567fee8e884966"}}