Exhibit 23.1

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the use in the Prospectus constituting a part of this Registration Statement on Form S-1 of our report dated February 3, 2025, relating to the financial statements of Rithm Acquisition Corp., as of November 30, 2024 and for the period from November 21, 2024 (inception) through November 30, 2024, which is contained in that Prospectus. We also consent to the reference to our Firm under the caption “Experts” in the Prospectus.

/s/ WithumSmith+Brown, PC

New York, New York

February 3, 2025