Specimen Unit Certificate

Exhibit 4.1

COMPUTE HEALTH ACQUISITION CORP.

UNITS CONSISTING OF ONE SHARE OF CLASS A COMMON STOCK AND
ONE-QUARTER OF ONE REDEEMABLE WARRANT, EACH WHOLE WARRANT ENTITLING THE
HOLDER TO PURCHASE ONE SHARE OF CLASS A COMMON STOCK

Each Unit (“Unit”) consists of one (1) share of Class A common stock, par value $0.0001 per share (“Class A Common Stock”), of Compute Health Acquisition Corp., a Delaware corporation (the “Company”), and one-quarter (1/4) of one redeemable warrant (each whole warrant exercisable for one share of Class A common stock) (the “Warrant”). Each whole Warrant entitles the holder to purchase one (1) share of Class A Common Stock (subject to adjustment) for $11.50 per share (subject to adjustment). Only whole Warrants are exercisable. Each Warrant will become exercisable on the later of (i) thirty (30) days after the Company’s completion of an initial merger, capital stock exchange, asset acquisition, stock purchase, reorganization or other similar business combination with one or more businesses (each a “Business Combination”), and (ii) twelve (12) months from the closing of the Company’s initial public offering, and will expire unless exercised before 5:00 p.m., New York City Time, on the date that is five (5) years after the date on which the Company completes its initial Business Combination, or earlier upon redemption or liquidation. The shares of Class A Common Stock and Warrants comprising the Units represented by this certificate are not transferable separately prior to , 2021, unless Goldman Sachs & Co. LLC elects to allow separate trading earlier, subject to the Company’s filing of a Current Report on Form 8-K with the Securities and Exchange Commission containing an audited balance sheet reflecting the Company’s receipt of the gross proceeds of its initial public offering (the “Form 8-K”) and issuing a press release announcing when such earlier separate trading will begin. The Company shall file the Form 8-K with the Securities and Exchange Commission. No fractional Warrants will be issued upon separation of the Units and only whole Warrants will trade. The terms of the Warrants are governed by a Warrant Agreement, dated as of , 2021, between the Company and Continental Stock Transfer & Trust Company, as Warrant Agent, and are subject to the terms and provisions contained therein, all of which terms and provisions the holder of this certificate consents to by acceptance hereof. Copies of the Warrant Agreement are on file at the office of the Warrant Agent at One State Street, 30th Floor, New York, New York 10004, and are available to any Warrant holder on written request and without cost.

Upon the consummation of the Business Combination, the Units represented by this certificate will automatically separate into the Class A Common Stock and Warrants comprising such Units.

This certificate is not valid unless countersigned by the Transfer Agent and Registrar of the Company.

This certificate shall be governed by and construed in accordance with the internal laws of the State of New York.

Witness the facsimile signature of its duly authorized officers.

COMPUTE HEALTH ACQUISITION CORP.

The Company will furnish without charge to each unitholder who so requests, a statement of the powers, designations, preferences and relative, participating, optional or other special rights of each class of stock or series thereof of the Company and the qualifications, limitations, or restrictions of such preferences and/or rights.

The following abbreviations, when used in the inscription on the face of this certificate, shall be construed as though they were written out in full according to applicable laws or regulations:

Additional abbreviations may also be used though not in the above list.

For value received, ______________ hereby sell(s), assign(s) and transfer(s) unto ________________

PLEASE INSERT SOCIAL SECURITY OR
OTHER
IDENTIFYING NUMBER OF ASSIGNEE

(PLEASE PRINT OR TYPEWRITE NAME AND ADDRESS, INCLUDING ZIP CODE, OF ASSIGNEE) 

_______________Units represented by the within Certificate, and do(es) hereby irrevocably constitute and appoint _______________________ Attorney to transfer the said Units on the books of the within named Company with full power of substitution in the premises.

Dated _______________

Signature(s) Guaranteed:

THE SIGNATURE(S) MUST BE GUARANTEED BY AN
ELIGIBLE GUARANTOR INSTITUTION (BANKS,
STOCKBROKERS, SAVINGS AND LOAN
ASSOCIATIONS AND CREDIT UNIONS WITH
MEMBERSHIP IN AN APPROVED SIGNATURE
GUARANTEE MEDALLION PROGRAM, PURSUANT TO
S.E.C. RULE 17Ad-15 (OR ANY SUCCESSOR RULE)
UNDER THE SECURITIES EXCHANGE ACT OF 1934, AS
AMENDED).

In each case, as more fully described in the Company’s final prospectus dated                , 2021, the holder(s) of this certificate shall be entitled to receive a pro-rata portion of certain funds held in the trust account established in connection with the Company’s initial public offering only in the event that (i) the Company redeems the shares of Class A Common Stock sold in its initial public offering and liquidates because it does not consummate an initial business combination by                , 2023, or by such later date approved by the Company’s stockholders in accordance with the Company’s amended and restated certificate of incorporation, (ii) the Company redeems the shares of Class A Common Stock sold in its initial public offering in connection with a stockholder vote to amend the Company’s amended and restated certificate of incorporation (A) to modify the substance or timing of the Company’s obligation to allow redemption in connection with the Company’s initial business combination or to redeem 100% of the Class A Common Stock if it does not complete its initial business combination by                , 2023, or (B) with respect to any other provision relating to the holder(s) rights or pre-initial business combination activity, or (iii) if the holder(s) seek(s) to redeem for cash his, her, its or their respective shares of Class A Common Stock in connection with a tender offer (or proxy solicitation, solely in the event the Company seeks stockholder approval of the proposed initial business combination) setting forth the details of a proposed initial business combination. In no other circumstances shall the holder(s) have any right or interest of any kind in or to the trust account.

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