Exhibit
4.1


 





	NUMBER

    AEHAU-_______

     
	 	UNITS
	SEE
                                            REVERSE FOR

    CERTAIN
    DEFINITIONS
	AESTHER
    HEALTHCARE ACQUISITION CORP.	 


 


CUSIP
00809L205


 


UNITS
CONSISTING OF ONE SHARE OF CLASS A COMMON STOCK AND ONE-HALF OF ONE WARRANT


 


THIS
CERTIFIES THAT ______________________________________________________________________________________________


 


is
the owner of _______________________________________________________________________________________________________ Units.


 


Each
Unit (“Unit”) consists of one share of Class A common stock, with a par value $0.0001 per share (“Class A Common Stock”),
of Aesther Healthcare Acquisition Corp., a Delaware corporation (the “Company”), and one-half of one redeemable warrant (“Warrant”).
Only whole Warrants are exercisable. Each redeemable Warrant entitles the holder thereof to purchase one share of Class A Common Stock
at a price of $11.50 per full share (subject to adjustment), upon the later to occur of (i) 30 days after the Company’s completion
of a merger, share exchange, asset acquisition, share purchase, recapitalization, reorganization or other similar business combination
with one or more businesses or entities (a “Business Combination”) or (ii) one year from the closing of the Company’s
initial public offering. The shares of Class A Common Stock and Warrants comprising the Units represented by this certificate are not
transferable separately prior to the fifty-second (52nd) day after the date of the prospectus relating to the Company’s initial
public offering, unless EF Hutton, division of Benchmark Investments, LLC (“EF”) determines that an earlier date is acceptable,
but in no event will the shares of Class A Common Stock and Warrants be traded separately until the Company files with the Securities
and Exchange Commission (the “SEC”) a current report on Form 8-K which includes an audited balance sheet reflecting the receipt
by the Company of the gross proceeds from its initial public offering including the proceeds received by the Company from the exercise
of the over-allotment option thereto, if the over-allotment option is exercised. If the over-allotment option is exercised after the
date of the prospectus, we will file an amendment to the Form 8-K or a new Form 8-K to provide updated financial information to reflect
the exercise of the over-allotment option. We will also include in the Form 8-K, or amendment thereto, or in a subsequent Form 8-K, information
indicating if the underwriters has allowed separate trading of the shares of Class A Common Stock and Warrants prior to the 52nd day
after the date of the prospectus.


 


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 is subject to the terms and provisions contained therein, all of which terms and provisions the
holder of this certificate consents to by acceptance hereof. A copy of the Warrant Agreement is on file at the office of Continental
Stock Transfer & Trust Company at 1 State Street, 30th Floor, New York, New York 10004, and is available to any Warrant holder on
written request and without cost.


 


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


 


Witness
the facsimile seal of the Company and the facsimile signatures of its duly authorized officers.


 


This
Unit Certificate shall be governed and construed in accordance with the internal laws of the State of New York, without regard to conflicts
of laws principles thereof.


 


[Seal]


 


	By	 	 	 
	 	 	 	 
	 	Chairman	 	Chief
    Financial Officer


 




    	 



    	 



    

 


Aesther
Healthcare Acquisition Corp.


 


The
Company will furnish without charge to each stockholder who so requests, a statement of the powers, designations, preferences and relative,
participating, optional or other special rights of each class of shares 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:


 


	 	TEN
    COM –	as
    tenants in common	UNIF
    GIFT MIN ACT - _____ Custodian ______
	 	TEN
    ENT – 	as
    tenants by the entireties	                                        (Cust)
                      (Minor)
	 	JT
    TEN – 	as
    joint tenants with right of survivorship	                     under
    Uniform Gifts to Minors
	 	 	and
    not as tenants in common	                     Act
    ______________
	 	 	 	                                   (State)


 


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(S)






 


	 

 

 






 


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




 


                                                                                                                                                                                                                           


 


                                                                                                                                                                                                                          


 


                                                                                                                                                                                                                          


 





__________________________________________________________________________Units
represented by the within Certificate, and do hereby irrevocably constitute and appoint _________________________________________________________________________Attorney
to transfer the said Units on the books of the within named Company will full power of substitution in the premises.


 





	Dated	 	 	 
	 	 	 	 
	 		 	Notice:	The
                                            signature to this assignment must correspond with the name as written upon the face of the
                                            certificate in every particular, without alteration or enlargement or any change whatever.



 


Signature(s)
Guaranteed:


 





	 	 
	THE
SIGNATURE(S) SHOULD 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).


	









 


The
holder of this certificate shall be entitled to receive funds with respect to the underlying common stock from the trust fund only in
the event of the Company’s liquidation upon failure to consummate a business combination or if the holder seeks to convert his
or her respective common stock underlying the unit upon consummation of such business combination or in connection with certain amendments
to the Company’s Amended and Restated Certificate of Incorporation. In no other circumstances shall the holder have any right or
interest of any kind in or to the trust fund.