SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

SCHEDULE 13G

UNDER THE SECURITIES EXCHANGE ACT OF 1934

Rithm Acquisition Corp.

(Name of Issuer)

Class A Ordinary Shares, $0.0001 par value

(Title of Class of Securities)

G75751100

(CUSIP Number)

12/31/2025

(Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule is filed:

Rule 13d-1(b)

Rule 13d-1(c)

Rule 13d-1(d)

SCHEDULE 13G

CUSIP No.

G75751100

Names of Reporting Persons

Empyrean Capital Partners, LP

Check the appropriate box if a member of a Group (see instructions)

(a)

(b)

Sec Use Only

Citizenship or Place of Organization

DELAWARE

Number of Shares Beneficially Owned by Each Reporting Person With:

5	Sole Voting Power 0.00
6	Shared Voting Power 1,389,513.00
7	Sole Dispositive Power 0.00
8	Shared Dispositive Power 1,389,513.00

Aggregate Amount Beneficially Owned by Each Reporting Person

1,389,513.00

Check box if the aggregate amount in row (9) excludes certain shares (See Instructions)

Checkbox not checked

Percent of class represented by amount in row (9)

5.87 %

Type of Reporting Person (See Instructions)

IA, PN

SCHEDULE 13G

CUSIP No.

G75751100

Names of Reporting Persons

Amos Meron

Check the appropriate box if a member of a Group (see instructions)

(a)

(b)

Sec Use Only

Citizenship or Place of Organization

UNITED STATES

Number of Shares Beneficially Owned by Each Reporting Person With:

5	Sole Voting Power 0.00
6	Shared Voting Power 1,389,513.00
7	Sole Dispositive Power 0.00
8	Shared Dispositive Power 1,389,513.00

Aggregate Amount Beneficially Owned by Each Reporting Person

1,389,513.00

Check box if the aggregate amount in row (9) excludes certain shares (See Instructions)

Checkbox not checked

Percent of class represented by amount in row (9)

5.87 %

Type of Reporting Person (See Instructions)

HC, IN

SCHEDULE 13G

Item 1.

(a)

Name of issuer:

Rithm Acquisition Corp.

(b)

Address of issuer's principal executive offices:

799 Broadway, 8th Floor, New York, NY, 10003

Item 2.

(a)

Name of person filing:

This statement is filed by: (i) Empyrean Capital Partners, LP ("ECP"), a Delaware limited partnership, which serves as investment manager to Empyrean Capital Overseas Master Fund, Ltd. ("ECOMF"), a Cayman Islands exempted company, with respect to the Class A ordinary shares, par value $0.0001 per share (the "Class A Ordinary Shares") of Rithm Acquisition Corp. (the "Company") directly held by ECOMF; (ii) Mr. Amos Meron, who serves as the managing member of Empyrean Capital, LLC, the general partner of ECP, with respect to the Class A Ordinary Shares directly held by ECOMF. The foregoing persons are hereinafter sometimes collectively referred to as the "Reporting Persons." Any disclosures herein with respect to persons other than the Reporting Persons are made on information and belief after making inquiry to the appropriate party. The foregoing should not be construed in and of itself as an admission by any Reporting Person as to beneficial ownership of Class A Ordinary Shares owned by another Reporting Person.

(b)

Address or principal business office or, if none, residence:

The address of the business office of each of the Reporting Persons is c/o Empyrean Capital Partners, L.P., 10250 Constellation Boulevard, Suite 2950, Los Angeles, CA 90067

(c)

Citizenship:

ECP - a Delaware limited partnership Amos Meron - United States

(d)

Title of class of securities:

Class A Ordinary Shares, $0.0001 par value

(e)

CUSIP No.:

G75751100

Item 3.

If this statement is filed pursuant to §§ 240.13d-1(b) or 240.13d-2(b) or (c), check whether the person filing is a:

(a)

Broker or dealer registered under section 15 of the Act (15 U.S.C. 78o);

(b)

Bank as defined in section 3(a)(6) of the Act (15 U.S.C. 78c);

(c)

Insurance company as defined in section 3(a)(19) of the Act (15 U.S.C. 78c);

(d)

Investment company registered under section 8 of the Investment Company Act of 1940 (15 U.S.C. 80a-8);

(e)

An investment adviser in accordance with § 240.13d-1(b)(1)(ii)(E);

(f)

An employee benefit plan or endowment fund in accordance with § 240.13d-1(b)(1)(ii)(F);

(g)

A parent holding company or control person in accordance with § 240.13d-1(b)(1)(ii)(G);

(h)

A savings associations as defined in Section 3(b) of the Federal Deposit Insurance Act (12 U.S.C. 1813);

(i)

A church plan that is excluded from the definition of an investment company under section 3(c)(14) of the Investment Company Act of 1940 (15 U.S.C. 80a-3);

(j)

A non-U.S. institution in accordance with § 240.13d-1(b)(1)(ii)(J). If filing as a non-U.S. institution in accordance with § 240.13d-1(b)(1)(ii)(J),
please specify the type of institution:

(k)

Group, in accordance with Rule 240.13d-1(b)(1)(ii)(K).

Item 4.

Ownership

(a)

Amount beneficially owned:

1,389,513

(b)

Percent of class:

5.87 %

(c)

Number of shares as to which the person has:

(i) Sole power to vote or to direct the vote:

(ii) Shared power to vote or to direct the vote:

1,389,513

(iii) Sole power to dispose or to direct the disposition of:

(iv) Shared power to dispose or to direct the disposition of:

1,389,513 The percentages used in this Schedule 13G are calculated based upon 23,660,000 Class A Ordinary Shares outstanding as of December 19, 2025, as reported in the Company's Quarterly Report on Form 10-K for the quarterly period ended September 30, 2025, filed with the Securities and Exchange Commission on December 19, 2025.

Item 5.

Ownership of 5 Percent or Less of a Class.

Not Applicable

Item 6.

Ownership of more than 5 Percent on Behalf of Another Person.

If any other person is known to have the right to receive or the power to direct the receipt of dividends from, or the proceeds from the sale of, such securities, a statement to that effect should be included in response to this item and, if such interest relates to more than 5 percent of the class, such person should be identified. A listing of the shareholders of an investment company registered under the Investment Company Act of 1940 or the beneficiaries of employee benefit plan, pension fund or endowment fund is not required.

See Item 2(a).

Item 7.

Identification and Classification of the Subsidiary Which Acquired the Security Being Reported on by the Parent Holding Company or Control Person.

Not Applicable

Item 8.

Identification and Classification of Members of the Group.

Not Applicable

Item 9.

Notice of Dissolution of Group.

Not Applicable

Item 10.

Certifications:

By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were acquired and are held in the ordinary course of business and were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect, other than activities solely in connection with a nomination under ?? 240.14a-11.

SIGNATURE

After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct.

Empyrean Capital Partners, LP

Signature:	/s/ Jennifer Norman
Name/Title:	Chief Compliance Officer
Date:	02/17/2026

Amos Meron

Signature:	/s/ Amos Meron
Name/Title:	Amos Meron
Date:	02/17/2026

Exhibit Information

Exhibit 99.1 Joint Filing Agreement

SEC Form SCHEDULE 13G filed by Rithm Acquisition Corp.