Stanza 11: Þjazi is named as the previous owner of the hall Þrymheimr, which now belongs to his daughter, Skaði.
‘Þrymheimr is the name of the sixth, where Þjazi lived,
that almighty giant;
but now Skaði, the gods’ shining bride, inhabits
the ancient sites of her father.
Stanza 19: In his flyting with Hárbarðr (Odin), Þórr boasts that he was the one who killed Þjazi and threw his eyes into the sky to become stars.
‘I slew Þjazi, the strong-minded giant,
I threw the eyes of Allvaldi’s son up
into the shining sky;
they are the greatest signs of my deeds,
those which all people since may see!
Stanzas 50-51: During his verbal assault, Loki boasts to Skaði that he was "first and last" at the killing of her father, Þjazi. Skaði retorts, cursing him from her sanctuaries.
Loki said:
50.‘Know [this], if the gods shall bind me on a cliff-edge
with the guts of my frost-cold son;
I was first and last at the life-loss,
when we laid hands on Þjazi!’
Skaði said:
51.‘Know this, if first and last you were at the life-loss,
when you laid hands on Þjazi;
from my sanctuaries and fields
cold counsels shall always come to you!’
Stanza 30: While recounting genealogies, the giantess Hyndla identifies Skaði as the daughter of the giant Þjazi.
‘Baldr’s father was Burr’s heir;
Freyr married Gerðr, she was Gymir’s daughter,
of the kindred of giants, and of Aurboða;
Þjazi was yet their kinsman,
the covering(?)-eager giant — his daughter was Skaði.
Chapter 21-23(p. 23): When introducing the goddess Skadi, her parentage is established, naming Þjazi as her father.
‘Niord has a wife called Skadi, daughter of the giant Thiassi.
Chapter 23-25(p. 24): The text describes Skadi's desire to live in her father's former home, Thrymheim, and identifies Þjazi as its original dweller.
It is called Thrymheim where Thiassi dwelt, that most mighty giant, but now Skadi, bright bride of gods, inhabits her father’s old abode.
Chapter 56(p. 59-60): The main story begins here. Bragi recounts to Ægir how Odin, Loki, and Hænir are on a journey. An eagle (Þjazi in disguise) prevents their ox from cooking and demands a share. When Loki strikes the eagle, he becomes stuck to it and is flown away. To be freed, Loki must promise to lure Idunn out of Asgard.
Then giant Thiassi arrived in eagle shape and snatched Idunn and flew away with her to his home in Thrymheim. […] Then the eagle’s feathers caught fire and his flight was ended. Then the Æsir were close by and killed giant Thiassi within the As-gates, and this killing is greatly renowned.