Washington (CNN) The Supreme Court said Monday it will not take up an appeal from death row inmate Rodney Reed, who is challenging his sentence based in part on the fact that Texas relied on evidence that was later proven to be scientifically invalid.

Reed was sentenced to death more than 20 years ago for the assault, rape and strangling of 19-year-old Stacey Stites. But his attorneys with the Innocence Project say they have evidence that could exonerate him.

Reed's death sentence is currently on hold due to separate state proceedings.

Writing separately, Justice Sonia Sotomayor noted that Reed has "presented a substantial body of evidence" that she said "if true" casts doubt on the "veracity of scientific validity of the evidence."

Lower courts are still considering separate claims, Sotomayor said, adding that the court's action on Monday should not "close the door" on future review of the case.

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