{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VY7N4XSAESJ64CBIGDHQOWZKXK","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":"d6a04be08c18be680a30d98f2906c28cc60dae663fb769000275fb2a4bf45790","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AP","submitted_at":"2011-11-12T13:45:42Z","title_canon_sha256":"b6036918c4331592fed6778af12c366d523838372cf84029788c359634f58624"},"schema_version":"1.0","source":{"id":"1111.2926","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2926","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2926v1","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2926","created_at":"2026-05-18T04:08:23Z"},{"alias_kind":"pith_short_12","alias_value":"VY7N4XSAESJ6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VY7N4XSAESJ64CBI","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VY7N4XSA","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:5c2b9249a89c98fd5763eba6b63cbc6d2fae220d5ca8700ab692244bdc871ef4","target":"graph","created_at":"2026-05-18T04:08:23Z","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 study the incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity and general initial data in the whole space $\\mathbb{R}^d$ $(d=2,3)$. We first establish the existence of classic solutions on a time interval independent of the Mach number. Then, by deriving uniform a priori estimates, we obtain the convergence of the solution to that of the incompressible magnetohydrodynamic equations as the Mach number tends to zero.","authors_text":"Fucai Li, Qiangchang Ju, Song Jiang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AP","submitted_at":"2011-11-12T13:45:42Z","title":"Incompressible limit of the compressible non-isentropic magnetohydrodynamic equations with zero magnetic diffusivity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2926","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":"sha256:0122e00c52fd54c256ac828d7b325df999a45e199de70612170fb287334eb37b","target":"record","created_at":"2026-05-18T04:08:23Z","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":"d6a04be08c18be680a30d98f2906c28cc60dae663fb769000275fb2a4bf45790","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AP","submitted_at":"2011-11-12T13:45:42Z","title_canon_sha256":"b6036918c4331592fed6778af12c366d523838372cf84029788c359634f58624"},"schema_version":"1.0","source":{"id":"1111.2926","kind":"arxiv","version":1}},"canonical_sha256":"ae3ede5e402493ee082830cf075b2aba8c0944ffa5e78e0d4c5f81edf5811cdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae3ede5e402493ee082830cf075b2aba8c0944ffa5e78e0d4c5f81edf5811cdb","first_computed_at":"2026-05-18T04:08:23.474761Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:23.474761Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mF9RgvH3w0tOm65JyTZjDEb1bbJ/ugd5nY3IXhJ5lsiQbKF//LOAKxktsOc/lHLihmpvsH5co09F5xe25ws3BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:23.475247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2926","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0122e00c52fd54c256ac828d7b325df999a45e199de70612170fb287334eb37b","sha256:5c2b9249a89c98fd5763eba6b63cbc6d2fae220d5ca8700ab692244bdc871ef4"],"state_sha256":"892c26afa5e21da79c1a23d47bec6cca657cb79a111c5ec1d07f833888aec420"}