def classify_field(value):
    """Normalize ``value`` to an Inspire category.

    Args:
        value(str): an Inspire category to properly case, or an arXiv category
            to translate to the corresponding Inspire category.

    Returns:
        str: ``None`` if ``value`` is not a non-empty string,
            otherwise the corresponding Inspire category.

    """
    if not (isinstance(value, six.string_types) and value):
        return

    schema = load_schema('elements/inspire_field')
    inspire_categories = schema['properties']['term']['enum']

    for inspire_category in inspire_categories:
        if value.upper() == inspire_category.upper():
            return inspire_category

    category = normalize_arxiv_category(value)
    return ARXIV_TO_INSPIRE_CATEGORY_MAPPING.get(category, 'Other')