420226175,
    6894746.0420226175, 6894746.0420226175
  ];

  var projection = ol.proj.get('EPSG:3413');
  projection.setWorldExtent(extent);
  projection.setExtent(bounds.map(n => 3 * n));

  var osm = new ol.layer.Tile({
    source: new ol.source.OSM({
      projection: 'EPSG:3857',
    }),
  });

  var map = new ol.Map({
    target: 'map',
    layers: [
      osm
    ],
    view: new ol.View({
      projection: projection,
      center: [-47527.08583899386, 534308.4103305723]
    })
  });

  map.getView(