Translations
That day, David entrusted to Asaph and his fellow ministers this psalm of thanksgiving to Yahweh — the first of its kind:
On that day David first appointed this thanksgiving psalm to YHWH, to be given by the hand of Asaph and his kinsmen:
Then on that day David delivered first this psalm to thank the LORD into the hand of Asaph and his brethren.
On that day David first committed to Asaph and his associates this song of thanksgiving to the LORD:

