{% extends 'search/base_facet.html' %}
{% block faceting %}
{% if query %}
    <!-- Begin faceting. -->
    <h2>By Project</h2>

    <div class="filter">
        <dl>
            {% if facets.fields.project %}
                {# Provide only the top 5 projects #}
                {% for project in facets.fields.project|slice:":10" %}
                    {% if project.1 != 0 %}
                    <dd><a href="{{ request.get_full_path }}&amp;selected_facets=project:{{ project.0|urlencode }}">{{ project.0 }}</a> ({{ project.1 }})</dd>
                    {% endif %}
                {% endfor %}
            {% else %}
                <p>No project facets.</p>
            {% endif %}
        </dl>
    </div>
    <!-- End faceting -->
{% endif %}
{% endblock %}

{% extends 'search/base_facet.html' %}
{% block faceting %}
{% if query %}
    <!-- Begin faceting. -->
    <h2>By Project</h2>

    <div class="filter">
        <dl>
            {% if facets.fields.project %}
                {# Provide only the top 5 projects #}
                {% for project in facets.fields.project|slice:":10" %}
                    {% if project.1 != 0 %}
                    <dd><a href="{{ request.get_full_path }}&amp;selected_facets=project_exact:{{ project.0|urlencode }}">{{ project.0 }}</a> ({{ project.1 }})</dd>
                    {% endif %}
                {% endfor %}
            {% else %}
                <p>No project facets.</p>
            {% endif %}
        </dl>
    </div>
    <!-- End faceting -->
{% endif %}
{% endblock %}

Make facets do the project _exact.
Make facets do the project _exact.