{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6SFW6UQWX2YWSTLXSNWOYRQOVB","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":"7eb1d7755b7fbb6823413e083e76dafeb9f1c92681997ec955daf8e32742a3d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-12T08:51:48Z","title_canon_sha256":"ce9705f45e03714038278ec612644fe32bbd26e11a19b50045d84f8236ed249b"},"schema_version":"1.0","source":{"id":"1403.2852","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.2852","created_at":"2026-05-18T02:56:06Z"},{"alias_kind":"arxiv_version","alias_value":"1403.2852v2","created_at":"2026-05-18T02:56:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2852","created_at":"2026-05-18T02:56:06Z"},{"alias_kind":"pith_short_12","alias_value":"6SFW6UQWX2YW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6SFW6UQWX2YWSTLX","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6SFW6UQW","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:60318ec9da1021fdf7b3f74a0f05ba9f5508b8135897081d5b5596e42a4b7f01","target":"graph","created_at":"2026-05-18T02:56:06Z","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"},"paper":{"abstract_excerpt":"We prove global existence of smooth solutions for a slightly supercritical dyadic model. We consider a generalized version of the dyadic model introduced by Katz-Pavlovic [2005] and add a viscosity term with critical exponent and a supercritical correction. This model catches for the dyadic a conjecture that for Navier-Stokes equations was formulated by Tao [2009].","authors_text":"David Barbato, Francesco Morandin, Marco Romito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-12T08:51:48Z","title":"Global regularity for a logarithmically supercritical hyperdissipative dyadic equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2852","kind":"arxiv","version":2},"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":"sha256:426900762fb52a317b2b1596536dd67248889b29caf9ec3b45dbea75ce96e94b","target":"record","created_at":"2026-05-18T02:56:06Z","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":"7eb1d7755b7fbb6823413e083e76dafeb9f1c92681997ec955daf8e32742a3d7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-03-12T08:51:48Z","title_canon_sha256":"ce9705f45e03714038278ec612644fe32bbd26e11a19b50045d84f8236ed249b"},"schema_version":"1.0","source":{"id":"1403.2852","kind":"arxiv","version":2}},"canonical_sha256":"f48b6f5216beb1694d77936cec460ea866b961d200d5412f86eff268188f5ce9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f48b6f5216beb1694d77936cec460ea866b961d200d5412f86eff268188f5ce9","first_computed_at":"2026-05-18T02:56:06.166430Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:56:06.166430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z1kQWEJs6DFpsm3R6h8ngcZmItiTqGmrgiwNOh5ACK49QqN1mRfTT/2g7BQUKZc9/ZcCO2AFwjOFH8o/yOJDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:56:06.166871Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.2852","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:426900762fb52a317b2b1596536dd67248889b29caf9ec3b45dbea75ce96e94b","sha256:60318ec9da1021fdf7b3f74a0f05ba9f5508b8135897081d5b5596e42a4b7f01"],"state_sha256":"e3d25e33927b2630e53a96f3877099617255a9ba0fc07e588e4f9d8c81cd7ef6"}