Dís has given her permission to the dwarves of Thorin's Company to investigate his tomb and learn if the Arkenstone remains within.
'My brother Thorin was entombed in Mazal Akrâz with the Arkenstone, and with an Elven-sword beside. You think the Heart of the Mountain has been stolen? What thief would dare disturb the Oakenshield's rest or risk the guards of his tomb? No, do not try to convince me of this. There is no need.
'It has been too long since I visited my brother and my sons where they lie beneath the Mountain. I will allow you to ensure the Arkenstone remains with Thorin while I pay my respects to my brother and to Fíli and Kíli. I am old, ${RACE}. It will be good for Durin's Folk to know the fate of the Heart of the Mountain, and it will benefit my own heart to see my lost kin at least one more time before I join them.
'Tell the Wizard he has permission, but not to go alone. We will all go together.'
Gandalf is at Raven-hill, waiting to travel with you and the surviving members of Thorin's Company to ensure the Arkenstone remains entombed with the Oakenshield.