{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JV2BP3DGV5FTYKHK5ARXT6QNL3","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":"54bcc052c258662cfa2b082750d1b05c56476383edb28c231058f231ecf03c44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-28T08:16:57Z","title_canon_sha256":"0496244918da143db9079fd197b62555fd614167dc7bd3685349734dda8fd5e4"},"schema_version":"1.0","source":{"id":"1508.07118","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07118","created_at":"2026-05-18T01:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07118v3","created_at":"2026-05-18T01:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07118","created_at":"2026-05-18T01:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"JV2BP3DGV5FT","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JV2BP3DGV5FTYKHK","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JV2BP3DG","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:a6bcc1d6349b05b0915a0e22e1960d3d86bb892d4e3f515506987963e38acbf2","target":"graph","created_at":"2026-05-18T01:07:57Z","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"},"paper":{"abstract_excerpt":"We prove that in dimensions three and higher the Landau-Lifshitz- Gilbert equation with small initial data in the critical Besov space is globally wellposed in a uniform way with respect to the Gilbert damping parameter. Then we show that the global solution converges to that of the Schrodinger maps in the natural space as the Gilbert damping term vanishes. The proof is based on some studies on the derivative Ginzburg-Landau equations.","authors_text":"Chunyan Huang, Zihua Guo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-28T08:16:57Z","title":"The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07118","kind":"arxiv","version":3},"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":"sha256:4e56dfd3b641e40e0e3de9dc13cd196e9a23689361deff2e8731382fa96c4ba2","target":"record","created_at":"2026-05-18T01:07:57Z","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":"54bcc052c258662cfa2b082750d1b05c56476383edb28c231058f231ecf03c44","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-08-28T08:16:57Z","title_canon_sha256":"0496244918da143db9079fd197b62555fd614167dc7bd3685349734dda8fd5e4"},"schema_version":"1.0","source":{"id":"1508.07118","kind":"arxiv","version":3}},"canonical_sha256":"4d7417ec66af4b3c28eae82379fa0d5ef32b1221d44ecfa7e9c3dc2ddaff6bd3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d7417ec66af4b3c28eae82379fa0d5ef32b1221d44ecfa7e9c3dc2ddaff6bd3","first_computed_at":"2026-05-18T01:07:57.031050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:57.031050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ih3xwACX49AKc0f4tSPNVs/QCQeubLW+3amdZKX04n/QOnSQGmHstIwgxKLJ+vYBn1eDFQHv2vk1OX213bQ5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:57.031545Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07118","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e56dfd3b641e40e0e3de9dc13cd196e9a23689361deff2e8731382fa96c4ba2","sha256:a6bcc1d6349b05b0915a0e22e1960d3d86bb892d4e3f515506987963e38acbf2"],"state_sha256":"b7a1b92176845645f009aeac0c01d0f749526c084398f0aa9d756ef56f9ba844"}