I stand corrected vs I stand to be corrected
"I stand corrected." = I was wrong and this has been demonstrated by what has been said/done.
1955: Care of Alaskan Mentally Ill: Hearings Before the United States House ... By United States Congress House Committee) Mr ABBOTT: I believe you stated earlier your bond was in the amount of $15,000. The contract entered into the 18th day of June 1953 indicates it to be $30,000.
Mr. Wanye W. Coe: Well then, I stand corrected. I stand corrected."
and
"I stand to be corrected" = I may be wrong (i) and I would be interested to hear if anyone has another idea. (ii) and future events may demonstrate this.
2004 Nomination of the Honorable Porter J. Goss to be Director of Central ... By United States, United States. Congress. Senator Kery proposed a $45 billion cut aimed at science, intelligence and defense projects within Committee. Basically, he decided when that became stalled that he would then go to the floor—if I have this right, and I stand to be corrected —and propose a $6 billion cut, a targeted cut, at intelligence, as opposed to an across-the-board cut.