{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:RKGEJG56D5OVADC5B2LWRSUPRS","short_pith_number":"pith:RKGEJG56","schema_version":"1.0","canonical_sha256":"8a8c449bbe1f5d500c5d0e9768ca8f8c911869583871427c565753b15829578f","source":{"kind":"arxiv","id":"1105.5659","version":1},"attestation_state":"computed","paper":{"title":"Global well-posedness for 2D radial Schr\\\"odinger maps into the sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eva Koo, Stephen Gustafson","submitted_at":"2011-05-27T21:16:07Z","abstract_excerpt":"We prove global well-posedness for a cubic, non-local Schr\\\"odinger equation with radially-symmetric initial data in the critical space $L^2(\\R^2)$, using the framework of Kenig-Merle and Killip-Tao-Visan. As a consequence, we obtain a global well-posedness result for Schr\\\"odinger maps from $\\R^2$ into $\\S^2$ (Landau-Lifshitz equation) with radially symmetric initial data (with no size restriction)."},"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":"1105.5659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-05-27T21:16:07Z","cross_cats_sorted":[],"title_canon_sha256":"763016bc90e52d981f289c64cfe95128b44f9da441e7e2d4d2a483b6872f1dff","abstract_canon_sha256":"39f91281676592bb43b36e3b6d57721e1fe5d87b2c46bbe483dd7e9ef2bebe0f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:21:01.848304Z","signature_b64":"leDBtuLwqQmntTTVca228JalmN+REJp96zisqHdppajl3iwFBA04cPtJXNbmfHWAW9/Fg2x7Jz2mi7KC4bwXBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a8c449bbe1f5d500c5d0e9768ca8f8c911869583871427c565753b15829578f","last_reissued_at":"2026-05-18T04:21:01.847691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:21:01.847691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Global well-posedness for 2D radial Schr\\\"odinger maps into the sphere","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eva Koo, Stephen Gustafson","submitted_at":"2011-05-27T21:16:07Z","abstract_excerpt":"We prove global well-posedness for a cubic, non-local Schr\\\"odinger equation with radially-symmetric initial data in the critical space $L^2(\\R^2)$, using the framework of Kenig-Merle and Killip-Tao-Visan. As a consequence, we obtain a global well-posedness result for Schr\\\"odinger maps from $\\R^2$ into $\\S^2$ (Landau-Lifshitz equation) with radially symmetric initial data (with no size restriction)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.5659","kind":"arxiv","version":1},"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":"1105.5659","created_at":"2026-05-18T04:21:01.847790+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.5659v1","created_at":"2026-05-18T04:21:01.847790+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.5659","created_at":"2026-05-18T04:21:01.847790+00:00"},{"alias_kind":"pith_short_12","alias_value":"RKGEJG56D5OV","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"RKGEJG56D5OVADC5","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"RKGEJG56","created_at":"2026-05-18T12:26:41.206345+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/RKGEJG56D5OVADC5B2LWRSUPRS","json":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS.json","graph_json":"https://pith.science/api/pith-number/RKGEJG56D5OVADC5B2LWRSUPRS/graph.json","events_json":"https://pith.science/api/pith-number/RKGEJG56D5OVADC5B2LWRSUPRS/events.json","paper":"https://pith.science/paper/RKGEJG56"},"agent_actions":{"view_html":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS","download_json":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS.json","view_paper":"https://pith.science/paper/RKGEJG56","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.5659&json=true","fetch_graph":"https://pith.science/api/pith-number/RKGEJG56D5OVADC5B2LWRSUPRS/graph.json","fetch_events":"https://pith.science/api/pith-number/RKGEJG56D5OVADC5B2LWRSUPRS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS/action/storage_attestation","attest_author":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS/action/author_attestation","sign_citation":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS/action/citation_signature","submit_replication":"https://pith.science/pith/RKGEJG56D5OVADC5B2LWRSUPRS/action/replication_record"}},"created_at":"2026-05-18T04:21:01.847790+00:00","updated_at":"2026-05-18T04:21:01.847790+00:00"}