How to save filtering?

Question

AJAX

Made filtering by custom taxonomy:

<?php 
function posts_filters(){
 $args = array(
  'orderby' => 'date',
  'order' => $_POST['date']
 );

 if( isset( $_POST['categoryfilter'] ) )
  $args['tax_query'] = array(
  array(
   'taxonomy' => 'filter',
   'field' => 'id',
   'terms' => $_POST['categoryfilter']
  )
 );

 $query = new WP_Query( $args );

 if( $query->have_posts('projects') ) :
  echo '<ul>';
  while( $query->have_posts() ): $query->the_post();
    echo '<li><a href="' . get_permalink( $query->post->ID ) . '">' . $query->post->post_title . '</a></li>';
  endwhile;
  echo '</ul>';
 wp_reset_postdata();
 else :
   echo 'Записей не найдено';
 endif;

 die();
}
add_action('wp_ajax_customfilter', 'posts_filters');
add_action('wp_ajax_nopriv_customfilter', 'posts_filters');

<form action="<?php echo site_url() ?>/wp-admin/admin-ajax.php" method="POST" id="post-date-filter">
            <?php
                if( $terms = get_terms( 'filter', 'orderby=name' ) ) :
                    echo '<select name="categoryfilter"><option>Выберите категорию...</option>';
                    foreach ( $terms as $term ) :
                        echo '<option value="' . $term->term_id . '">' . $term->name . '</option>';
                    endforeach;
                    echo '</select>';
                endif;
            ?>
            <label>
                <input type="radio" name="date" value="ASC" /> Дата: по возрастанию
            </label>
            <label>
                <input type="radio" name="date" value="DESC" selected="selected" /> Дата: по убыванию
            </label>
            <button>Применить фильтр</button>
            <input type="hidden" name="action" value="customfilter">
        </form>
        <div id="filtering-results"></div>

    </div>
</section>
<script>
    jQuery(function($){
     $('#post-date-filter').submit(function(){
      var filter = $('#post-date-filter');
      $.ajax({
       url:filter.attr('action'),
       data:filter.serialize(), // данные формы
       type:filter.attr('method'), // POST
       beforeSend:function(xhr){ filter.find('button').text('Применяем фильтр...'); },
       success:function(data){ filter.find('button').text('Применить фильтр'); $('#filtering-results').html(data); }
      });
      return false;
     });
    });

</script>

When refreshing the page, the filtering gets lost, how to save it?

Answer 1

to save in session, or to do a getom.