{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:6FORI547T7LNLNITORCYPICXHX","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":"4cc7bd1c1a6f0ecbd38ad98e5cf0b6f96b63a6fe81088f5837a08808e8531d0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-10-19T17:45:07Z","title_canon_sha256":"7867ee9f467c1583da1c59fdf8e89df66a11e4b953833c9dfdf967b0e6e9c082"},"schema_version":"1.0","source":{"id":"2310.12947","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.12947","created_at":"2026-07-05T07:02:44Z"},{"alias_kind":"arxiv_version","alias_value":"2310.12947v1","created_at":"2026-07-05T07:02:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.12947","created_at":"2026-07-05T07:02:44Z"},{"alias_kind":"pith_short_12","alias_value":"6FORI547T7LN","created_at":"2026-07-05T07:02:44Z"},{"alias_kind":"pith_short_16","alias_value":"6FORI547T7LNLNIT","created_at":"2026-07-05T07:02:44Z"},{"alias_kind":"pith_short_8","alias_value":"6FORI547","created_at":"2026-07-05T07:02:44Z"}],"graph_snapshots":[{"event_id":"sha256:122cb53826b83bdbfb0a9d92b2d1994edd81cda84d66006c20e887157b798244","target":"graph","created_at":"2026-07-05T07:02:44Z","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/2310.12947/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We establish new non-uniqueness results for the forced inviscid surface quasi-geostrophic equation, via an alternating formulation of convex integration techniques. Our results imply non-uniquenesss in the class of weak solutions with $|\\nabla|^{-1}\\theta\\in C_tC_x^\\alpha$, for any $\\alpha<1$.","authors_text":"Aynur Bulut, Manh Khang Huynh, Stan Palasek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-10-19T17:45:07Z","title":"Non-uniqueness up to the Onsager threshold for the forced SQG equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.12947","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":"sha256:1df33bf04a84ab7dab9c879d4e756d20bc38be40dc117e29c7ed186e6f7f332a","target":"record","created_at":"2026-07-05T07:02:44Z","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":"4cc7bd1c1a6f0ecbd38ad98e5cf0b6f96b63a6fe81088f5837a08808e8531d0b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-10-19T17:45:07Z","title_canon_sha256":"7867ee9f467c1583da1c59fdf8e89df66a11e4b953833c9dfdf967b0e6e9c082"},"schema_version":"1.0","source":{"id":"2310.12947","kind":"arxiv","version":1}},"canonical_sha256":"f15d14779f9fd6d5b513744587a0573df69fbf19f76c6afe4636f42ef4b5584a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f15d14779f9fd6d5b513744587a0573df69fbf19f76c6afe4636f42ef4b5584a","first_computed_at":"2026-07-05T07:02:44.728219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:02:44.728219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k4mfl2rZga5z+ox6br4m1+kAVvYgG4tXg/7vNmC/kQeELrHLgA0lJVsvFkt6F4husxlUo8G+QZA++2wwPnwqBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:02:44.728687Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.12947","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1df33bf04a84ab7dab9c879d4e756d20bc38be40dc117e29c7ed186e6f7f332a","sha256:122cb53826b83bdbfb0a9d92b2d1994edd81cda84d66006c20e887157b798244"],"state_sha256":"97b541eed1d485ad6d6158dbb5cbff51231403af9e6d785c7caacb015cc846ab"}