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 August 4, 2025, relating to the financial statements of Spring Valley Acquisition Corp. III as of May 21, 2025 and for the period from March 12, 2025 (inception) through May 21, 2025, 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

August 4, 2025