Prose after Stanza 4 and Stanza 5: After Loki forces the dwarf Andvari to give up all his gold, he notices Andvari trying to hide one last ring and takes that from him as well. This is the origin of the cursed ring.
Loki saw all the gold, that which Andvari owned. And when he had brought forth the gold, then he kept back one ring, and Loki took that from him. The dwarf went into the stone and said:
shall be the death of two brothers,
and for eight noblemen a source of strife —
no one will profit from my possessions!’
Prose after Stanza 5 and Stanza 6: The ring is named explicitly as Andvaranautr when Odin uses it to cover the final part of the otter-skin, thus completing the ransom payment to Hreiðmarr.
The Æsir paid Hreiðmarr the treasure and filled up the otter-skin and stood it on its legs. Then the Æsir had to pile up the gold and cover it. And when that was done, Hreiðmarr went forward and saw a whisker, and he told them to cover it. Then Óðinn drew forth the ring Andvaranautr and covered the hair.
a great payment for my head;
for your son happiness will not be shaped —
it will be the death of you both!’
Prose Passage: Guðrún sends the ring Andvaranautr to her brothers as a physical warning not to accept Atli's invitation, wrapping it in wolf's hair to signify danger.
King Atli invited Gunnarr and Hǫgni to his home and sent Vingi or Knéfrøðr [as his messenger]. Guðrún was wise to their tricks and sent word in runes that they should not come, and as a sign she sent Hǫgni the ring Andvaranautr and tied wolf’s hair around it.
Chapter 39-40(p. 100): The story of the ring begins with the tale of the Otter's Ransom. When Odin is covering the otter-skin with gold to pay the ransom, he initially holds the ring back. However, a single whisker remains exposed, and he is forced to use the ring to complete the payment, thereby passing its curse to Hreidmar and his family.
And when Odin saw the ring he found it beautiful and removed it from the treasure... Then Odin took out the ring and covered the whisker and declared that they were now quit of the otter-payment.
Chapter 40-41(p. 102): In the continuation of the saga, Sigurd wins the treasure and later, disguised as Gunnar, he marries Brynhild. He gives her the ring as a morning gift.
And in the morning when he got up and dressed, he gave Brynhild as morning gift the gold ring that Loki had taken from Andvari, and received from her another ring as keepsake.
Chapter 41-42(p. 103): The ring becomes the crucial piece of evidence in the quarrel between Brynhild and Gudrun. Gudrun reveals the truth of the deception by showing Brynhild the ring, which she had received from Sigurd. Here, it is explicitly named "Andvari's gift."
‘Do you reckon it was Gunnar that rode the flickering flame? I reckon that the one that went to bed with you was the one that gave me this gold ring, and that gold ring that you are wearing and that you received as morning gift, that is known as Andvari’s gift...’ […] After this Brynhild stabbed herself with a sword and she was burned with Sigurd, while Gunnar and Hogni took over Fafnir’s legacy and Andvari’s gift and went on ruling their lands.
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