{"work":{"id":"db2986eb-aef3-45c3-bfb3-fce9d1a00f63","openalex_id":"https://openalex.org/W1508842132","doi":"10.48550/arxiv.math/0103059","arxiv_id":"math/0103059","raw_key":null,"title":"Multiple polylogarithms and mixed Tate motives","authors":null,"authors_text":"A","year":2001,"venue":"math.AG","abstract":"We develop the theory of multiple polylogarithms from analytic, Hodge and motivic point of view. Define the category of mixed Tate motives over a ring of integers in a number field. Describe explicitly the multiple polylogarithm Hopf algebra.","external_url":"https://arxiv.org/abs/math/0103059","cited_by_count":331,"metadata_source":"pith","metadata_fetched_at":"2026-08-05T02:28:24.338817+00:00","pith_arxiv_id":"math/0103059","created_at":"2026-05-11T04:00:54.000939+00:00","updated_at":"2026-08-05T02:28:24.338817+00:00","title_quality_ok":true,"display_title":"Multiple polylogarithms and mixed Tate motives","render_title":"Multiple polylogarithms and mixed Tate motives"},"hub":{"state":{"work_id":"db2986eb-aef3-45c3-bfb3-fce9d1a00f63","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":16,"external_cited_by_count":331,"distinct_field_count":5,"first_pith_cited_at":"2025-03-03T22:31:18+00:00","last_pith_cited_at":"2026-06-22T19:00:51+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":"2026-08-22T02:59:58.377385+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":4},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":4},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}