{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:YCLLAMYEHVCSLBPSZ6IAY4MW5K","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":"b107964a9d1efdfe7c9a4246a9f6535dbeb3778e4838c1e757a787e35f66a3ec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-01T14:40:52Z","title_canon_sha256":"c028ce7f60d330f1ca1fee89541ec2d644d50a16eaf325e8e306e9c4357374fb"},"schema_version":"1.0","source":{"id":"2309.00496","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.00496","created_at":"2026-07-05T06:46:57Z"},{"alias_kind":"arxiv_version","alias_value":"2309.00496v1","created_at":"2026-07-05T06:46:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.00496","created_at":"2026-07-05T06:46:57Z"},{"alias_kind":"pith_short_12","alias_value":"YCLLAMYEHVCS","created_at":"2026-07-05T06:46:57Z"},{"alias_kind":"pith_short_16","alias_value":"YCLLAMYEHVCSLBPS","created_at":"2026-07-05T06:46:57Z"},{"alias_kind":"pith_short_8","alias_value":"YCLLAMYE","created_at":"2026-07-05T06:46:57Z"}],"graph_snapshots":[{"event_id":"sha256:dd816da5a2f5e24e61662bb87607d84576a4608c71ffbdebd6a2f5456ef74e09","target":"graph","created_at":"2026-07-05T06:46:57Z","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/2309.00496/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this article we consider the stability threshold of the 2D magnetohydrodynamics (MHD) equations near a combination of Couette flow and large constant magnetic field. We study the partial dissipation regime with full viscous and only horizontal magnetic dissipation. In particular, we show that this regime behaves qualitatively differently than both the fully dissipative and the non-resistive setting.","authors_text":"Christian Zillinger, Niklas Knobel","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-01T14:40:52Z","title":"On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.00496","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:f4e79ce11c193d790c51dac3d024df8a8e55dc824eef9c588c51a13e8acef336","target":"record","created_at":"2026-07-05T06:46:57Z","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":"b107964a9d1efdfe7c9a4246a9f6535dbeb3778e4838c1e757a787e35f66a3ec","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-01T14:40:52Z","title_canon_sha256":"c028ce7f60d330f1ca1fee89541ec2d644d50a16eaf325e8e306e9c4357374fb"},"schema_version":"1.0","source":{"id":"2309.00496","kind":"arxiv","version":1}},"canonical_sha256":"c096b033043d452585f2cf900c7196eab3c9573c1008ec1bd51ef3b097ac02a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c096b033043d452585f2cf900c7196eab3c9573c1008ec1bd51ef3b097ac02a7","first_computed_at":"2026-07-05T06:46:57.904927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:57.904927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mO2plEk1pDHfi+rvNZl6RGcBpFk/x/0J+h9QtPEfGFolTrkHIyRGfKdq24oFAV/y4SD0OnzpEZzUFolQCduEBg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:57.905336Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.00496","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4e79ce11c193d790c51dac3d024df8a8e55dc824eef9c588c51a13e8acef336","sha256:dd816da5a2f5e24e61662bb87607d84576a4608c71ffbdebd6a2f5456ef74e09"],"state_sha256":"69fbe4b52df2debbf3a2a35aafbf833cf4250909989725aa4a0fc5a53c822107"}