{"work":{"id":"a3c459cc-fe2a-4b20-95ea-7d76e43f5002","openalex_id":null,"doi":null,"arxiv_id":"2205.13671","raw_key":null,"title":"Transformer for partial differential equations’ operator learning","authors":null,"authors_text":"Zijie Li, Kazem Meidani, and Amir Barati Farimani","year":2022,"venue":null,"abstract":null,"external_url":"https://arxiv.org/abs/2205.13671","cited_by_count":null,"metadata_source":"arxiv_reference","metadata_fetched_at":"2026-05-23T07:32:42.776362+00:00","pith_arxiv_id":null,"created_at":"2026-05-11T04:05:55.897959+00:00","updated_at":"2026-05-23T07:32:42.776362+00:00","title_quality_ok":true,"display_title":"Transformer for partial differential equations’ operator learning","render_title":"Transformer for partial differential equations’ operator learning"},"hub":{"state":{"work_id":"a3c459cc-fe2a-4b20-95ea-7d76e43f5002","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":15,"external_cited_by_count":null,"distinct_field_count":5,"first_pith_cited_at":"2024-12-09T21:36:42+00:00","last_pith_cited_at":"2026-05-15T09:50:34+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-28T12:08:34.030545+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":2},{"context_role":"dataset","n":1},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":2},{"context_polarity":"use_dataset","n":1},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}