RITHM PROPERTY TRUST INC. (Exact name of registrant as specified in its charter) (Registrant’s telephone number, including area code) None(Former name, former address and former fiscal year, if changed since last report) Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 during the preceding12 months (or for such shorter period that the Registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days.Yes☒No☐ Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T duringthe preceding 12 months (or for such shorter period that the Registrant was required to submit such files).Yes☒No☐ Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or an emerging growthcompany. See the definitions of “large accelerated filer,” “accelerated filer,” “smaller reporting company,” and "emerging growth company" in Rule 12b-2 of the Exchange Act. Non-accelerated filer If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying with any new or revised financialaccounting standards provided pursuant to Section 13(a) of the Exchange Act.☐ Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act).Yes☐No☒ Indicate the number of shares outstanding of each of the issuer’s classes of common stock, as of the latest practicable date. Common stock, $0.01 par value per share: 7,772,564 shares outstanding as of July28, 2026. CAUTIONARY STATEMENT REGARDING FORWARD-LOOKING STATEMENTS AND RISK FACTORS SUMMARY This quarterly report contains certain “forward-looking statements” within the meaning of the Private Securities Litigation Reform Act of 1995,which statements involve substantial risks and uncertainties. Such forward-looking statements relate to, among other things, the performance ofRithm Property Trust Inc.’s (together with its subsidiaries, “Rithm Property Trust,” “we,” the “Company,” “our” and “us”) investments,expected results, our financing needs and the size and attractiveness of market opportunities. Forward-looking statements are generallyidentifiable by use of forward-looking terminology such as “may,” “will,” “plan,” “should,” “potential,” “intend,” “expect,” “endeavor,”“seek,” “anticipate,” “estimate,” “overestimate,” “underestimate,” “believe,” “could,” “project,” “predict,” “continue” or other similar words orexpressions. Forward-looking statements are based on certain assumptions, discuss future expectations, describe future plans and strategies,contain projections of results of operations, cash flows or financial condition or state other forward-looking information. Our ability to predictresults or the actual outcome of future plans or strategies is inherently limited. Although we believe that the expectations reflected in suchforward-looking statements are based on potentially accretive opportunities, our investment strategy and our reasonable assumptions, our actualresults, activities and performance could differ materially from those set forth in the forward-looking statements. These forward-lookingstatements involve risks, uncertainties and other factors that may cause our actual results in future periods to differ materially from forecastedresults. Our ability to implement our business strategy is subject to numerous risks, and the following is only a summary of the principal risks that maymaterially adversely affect our business, financial condition, results of operations and cash flows. The following should be read in conjunctionwith the more complete discussion of risk factors we face, which are set forth under Part I, Item 1A. “Risk Factors” in our Annual Report onForm 10-K for the fiscal year ended December 31, 2025, filed with the United States Securities and Exchange Commission on February18,2026 (“Annual Report”). These risks include, among others: •risks related to our business strategy to invest in the commercial real estate (“CRE”) sector, including commercial mortgage-backedsecurities (“CMBS”), commercial real property and commercial mortgage loans, and the risk that we may not successfully execute onour strategy; •risks associated with our prior, and any future, purchases, of residential transition loans (“RTLs”), including, but not limited to,borrower risk, risks related to short-term loans and balloon payments, risks related to construction loans and concentration risk;•the ability of Rithm Capital Corp. (together with its subsidiaries, “Rithm”) to effectively conduct our investment activities;•Rithm’s ability to manage and address potential conflicts of interest relating to our investment obj