code: def normalize_arxiv_category(category):
      
      category = _NEW_CATEGORIES.get(category.lower(), category)
      for valid_category in valid_arxiv_categories():
          if (category.lower() == valid_category.lower() or
                  category.lower().replace('-', '.') == valid_category.lower()):
              return valid_category
      return category
docs: Normalize arXiv category to be schema compliant.
  
      This properly capitalizes the category and replaces the dash by a dot if
      needed. If the category is obsolete, it also gets converted it to its
      current equivalent.
  
      Example:
          >>> from inspire_schemas.utils import normalize_arxiv_category
          >>> normalize_arxiv_category('funct-an')  # doctest: +SKIP
          u'math.FA'