{"paper":{"title":"The 3D index of an ideal triangulation and angle structures","arxiv_id":"1208.1663","primary_cat":"math.GT","submitted_at":"2012-08-08T13:44:24+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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