{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:GGP7EDCUKKAAYAMM7LLTJ2OPUQ","short_pith_number":"pith:GGP7EDCU","schema_version":"1.0","canonical_sha256":"319ff20c5452800c018cfad734e9cfa42df11b47d5ba9878c2e5c1ba6c23b28d","source":{"kind":"arxiv","id":"1111.2925","version":3},"attestation_state":"computed","paper":{"title":"Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Fucai Li, Qiangchang Ju, Song Jiang, Zhouping Xin","submitted_at":"2011-11-12T13:36:54Z","abstract_excerpt":"The low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data is rigorously justified in the whole space $\\mathbb{R}^3$. The uniform in Mach number estimates of the solutions in a Sobolev space are obtained on a time interval independent of the Mach number. The limit is proved by using the established uniform estimates and a theorem due to M\\'etiver and Schochet [Arch. Ration. Mech. Anal. 158 (2001), 61-90] for the Euler equations that gives the local energy decay of the acoustic wave equations."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1111.2925","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.AP","submitted_at":"2011-11-12T13:36:54Z","cross_cats_sorted":[],"title_canon_sha256":"9bafa3e60b020d84b576d7b2cfece11e31910b2ada4b3e2102ea164b2a01d76c","abstract_canon_sha256":"e0946e437c40d4d84f4ce70de48deb64307f7a9cd15bf123c4c33f48ef9a1db8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:13.036021Z","signature_b64":"pt+laNd6rC0Hq8g3KAejty+8ttP5XhQaLYLyCJnQGYy/eJzronXKxLGtJ8NMYSOxCE2InO4NVroby55U0UbnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"319ff20c5452800c018cfad734e9cfa42df11b47d5ba9878c2e5c1ba6c23b28d","last_reissued_at":"2026-05-18T02:54:13.035511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:13.035511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Fucai Li, Qiangchang Ju, Song Jiang, Zhouping Xin","submitted_at":"2011-11-12T13:36:54Z","abstract_excerpt":"The low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data is rigorously justified in the whole space $\\mathbb{R}^3$. The uniform in Mach number estimates of the solutions in a Sobolev space are obtained on a time interval independent of the Mach number. The limit is proved by using the established uniform estimates and a theorem due to M\\'etiver and Schochet [Arch. Ration. Mech. Anal. 158 (2001), 61-90] for the Euler equations that gives the local energy decay of the acoustic wave equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2925","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1111.2925","created_at":"2026-05-18T02:54:13.035594+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.2925v3","created_at":"2026-05-18T02:54:13.035594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2925","created_at":"2026-05-18T02:54:13.035594+00:00"},{"alias_kind":"pith_short_12","alias_value":"GGP7EDCUKKAA","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"GGP7EDCUKKAAYAMM","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"GGP7EDCU","created_at":"2026-05-18T12:26:28.662955+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ","json":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ.json","graph_json":"https://pith.science/api/pith-number/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/graph.json","events_json":"https://pith.science/api/pith-number/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/events.json","paper":"https://pith.science/paper/GGP7EDCU"},"agent_actions":{"view_html":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ","download_json":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ.json","view_paper":"https://pith.science/paper/GGP7EDCU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.2925&json=true","fetch_graph":"https://pith.science/api/pith-number/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/graph.json","fetch_events":"https://pith.science/api/pith-number/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/action/storage_attestation","attest_author":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/action/author_attestation","sign_citation":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/action/citation_signature","submit_replication":"https://pith.science/pith/GGP7EDCUKKAAYAMM7LLTJ2OPUQ/action/replication_record"}},"created_at":"2026-05-18T02:54:13.035594+00:00","updated_at":"2026-05-18T02:54:13.035594+00:00"}