The parts of God's Word that points to it.
In 2 Pet.3 when Peter said that many are "willingly ignorant" that the earth was old, "the earth standing out of the water, and in the water", he wasn't talking about the flood of Noah's time.
2 Peter 3:5-7
5 For this they willingly are ignorant of, that by the word of God the heavens were of old, and the earth standing out of the water and in the water:
6 Whereby the world that then was, being overflowed with water, perished:
7 But the heavens and the earth, which are now, by the same word are kept in store, reserved unto fire against the day of judgment and perdition of ungodly men.
KJV
God did not re-create the heavens and the earth after the flood of Noah. Peter was referring to the state of the earth in Gen.1:2 to Gen.1:9, about a more ancient flood upon the earth, with the earth standing in the waters and out of the waters when God parted the waters to make the dry land appear (again). The earth before the flood of Noah's day is part of today's established heavens and the earth. The waters receded and the same created earth was there under those waters of Noah's days.
The earth's state of "without form" (Hebrew tohuw) at Gen.1:2, God said in Isaiah 45:18 He did not create it that way (tohuw again but translated there as "in vain").
In Jer.4:23-28, that time of old at Gen.1:2 is what God was speaking about, the time when He first shook this earth and destroyed ancient cities and man off the earth. There was no man then, not even Noah and his. The main difference then was that 'man' idea refers to the state of angels living upon the earth, not flesh man. It was when Satan drew a third of the angels to earth with him in rebellion per Rev.12:3-4, which also shows us about a beast kingdom he had setup in rebellion then, having only seven crowns instead of the ten for the final one in our near future.
I know this is difficult for many to understand, and it's pretty much hidden in God's Word because He put quite a bit of it in parable form (like Ezek.28 about the time when Satan as a covering cherub was once perfect in his ways, and in Ezek.31 which is a parable about the time when Satan was exalted in God's Eden in that old world, and then rebelled). But that was the time when God placed this earth into the state of vanity and bondage of corruption that Paul spoke of in Rom.8. The very first sin against God was not with Adam's fall; it was when Satan first rebelled against God, even as Apostle John said that the devil sinned from the beginning (1 John 3:8).
The creation of flesh man represents the corruption from what happened at Satan's rebellion of old, in that old world. This is why the concept of 'death' and corruption began at the time of Satan's sin, and why death was assigned to Satan and will perish with Satan, and why Adam had to fall in order for God to send His Son and offer us eternal Life through Him.