{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:Y6G5UTFQWYZGMXXZMDOWBXDVDA","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":"1be390b552ac64ce5d3c13c1cdbaa5af9a83305b1313e32328b3c4f04d1a1fe9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-08-13T08:41:51Z","title_canon_sha256":"93bcb29da65bc22a6e07770c822aa2bb17ee24f8177e384ffade2cb8339ac1df"},"schema_version":"1.0","source":{"id":"2508.09609","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.09609","created_at":"2026-07-05T11:53:18Z"},{"alias_kind":"arxiv_version","alias_value":"2508.09609v1","created_at":"2026-07-05T11:53:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.09609","created_at":"2026-07-05T11:53:18Z"},{"alias_kind":"pith_short_12","alias_value":"Y6G5UTFQWYZG","created_at":"2026-07-05T11:53:18Z"},{"alias_kind":"pith_short_16","alias_value":"Y6G5UTFQWYZGMXXZ","created_at":"2026-07-05T11:53:18Z"},{"alias_kind":"pith_short_8","alias_value":"Y6G5UTFQ","created_at":"2026-07-05T11:53:18Z"}],"graph_snapshots":[{"event_id":"sha256:de0583eb1678c2a35cb5a8ee5b8f9960938009375f1880e0e3821da9f19dd186","target":"graph","created_at":"2026-07-05T11:53:18Z","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/2508.09609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper resolves the global regularity problem for the three-dimensional incompressible magnetohydrodynamics (MHD) equations in the upper half-space with slip boundary conditions, in the presence of a background magnetic field. Motivated by geophysical applications, we consider an anisotropic MHD system with weak dissipation in the $x_2$ and $x_3$ directions and small vertical magnetic diffusion. By exploiting the stabilizing effect induced by the background magnetic field and constructing a hierarchy of four energy functionals, we establish global-in-time uniform bounds that are independen","authors_text":"Jiahong Wu, Jincheng Gao, Lianyun Peng, Zheng-an Yao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-08-13T08:41:51Z","title":"Global uniform regularity for the 3D incompressible MHD equations with slip boundary condition near a background magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.09609","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:e402340756faca36f0858589dc34f604356dd12b8319f5eb80131d61a323e277","target":"record","created_at":"2026-07-05T11:53:18Z","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":"1be390b552ac64ce5d3c13c1cdbaa5af9a83305b1313e32328b3c4f04d1a1fe9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-08-13T08:41:51Z","title_canon_sha256":"93bcb29da65bc22a6e07770c822aa2bb17ee24f8177e384ffade2cb8339ac1df"},"schema_version":"1.0","source":{"id":"2508.09609","kind":"arxiv","version":1}},"canonical_sha256":"c78dda4cb0b632665ef960dd60dc751827f4473f6cd459aad2346101ccf8431d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c78dda4cb0b632665ef960dd60dc751827f4473f6cd459aad2346101ccf8431d","first_computed_at":"2026-07-05T11:53:18.193394Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:53:18.193394Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"48tbFx7xpZ130usKALle2XPmGfTn/RxOYQz/SsWYWwHcJ1eVag/jcP/8FQHSLIds/HhBhfVf3u/JNpYnHQzRDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:53:18.193922Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.09609","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e402340756faca36f0858589dc34f604356dd12b8319f5eb80131d61a323e277","sha256:de0583eb1678c2a35cb5a8ee5b8f9960938009375f1880e0e3821da9f19dd186"],"state_sha256":"2fb85735e7b7499fc3c1d2b44ff54a7754f95ee91030ece9093b5f79e8a9070d"}