def hash_strings(string_list):
    """
    Compute a cryptographic hash of a list of strings

    :param string_list: The strings to be hashed
    :return: The cryptographic hash (digest) of the strings in the order provided
    """
    sha1_hash = hashlib.sha1()
    for item in string_list:
        sha1_hash.update(item.encode())
    return sha1_hash.digest()