Exhibit 4.4


 


[FORM OF UNDERWRITERS UNIT PURCHASE OPTION]





 


THE REGISTERED HOLDER OF THIS UNIT PURCHASE OPTION
BY ITS ACCEPTANCE HEREOF, AGREES THAT THE SECURITIES EVIDENCED BY THIS UNIT PURCHASE OPTION MAY NOT BE SOLD, TRANSFERRED OR ASSIGNED EXCEPT
AS HEREIN PROVIDED AND THE REGISTERED HOLDER OF THIS UNIT PURCHASE OPTION AGREES THAT THE SECURITIES EVIDENCED BY THIS UNIT PURCHASE OPTION
WILL NOT BE SOLD, TRANSFERRED, ASSIGNED, PLEDGED OR HYPOTHECATED, OR BE THE SUBJECT OF ANY HEDGING, SHORT SALE, DERIVATIVE, PUT, OR CALL
TRANSACTION THAT WOULD RESULT IN THE EFFECTIVE ECONOMIC DISPOSITION OF THIS UNIT PURCHASE OPTION OR THE SECURITIES EVIDENCED BY THIS UNIT
PURCHASE OPTION, FOR A PERIOD OF ONE HUNDRED EIGHTY (180) DAYS FOLLOWING THE EFFECTIVE DATE (DEFINED BELOW) TO ANYONE OTHER THAN TO ANY
MEMBER PARTICIPATING IN THE OFFERING AND THE OFFICERS OR PARTNERS THEREOF, IF ALL SECURITIES SO TRANSFERRED REMAIN SUBJECT TO THE LOCK-UP
RESTRICTION SET FORTH ABOVE FOR THE REMAINDER OF THE TIME PERIOD.





 


Intensity
Therapeutics, Inc.





UNIT PURCHASE OPTION





FOR THE PURCHASE OF [●] SHARES OF COMMON
STOCK AND WARRANTS TO PURCHASE [●]

 SHARES OF COMMON STOCK


 


 


 


Unit Purchase Option No.: _____________ 


Number of Shares of Common Stock: [●] 


Number of Warrants: [●] 


Date of Issuance: [●], 2022 (“Issuance
Date”) 


Date of Commencement of Sales Pursuant to the 


Underwriting Agreement: [●],
2022 


(“Sales Commencement
Date”)


 


1. Unit Purchase Option.





 


THIS CERTIFIES THAT, in consideration
of $100.00 duly paid by or on behalf of [   ] (“Holder”), as registered owner of this Unit Purchase Option, to Intensity
Therapeutics, Inc. (the “Company”), Holder is entitled, at any time or from time to time commencing on the 180th
day after the effective date (the “Effective Date”) of the Company’s registration statement on
Form S-1 (File No.: 333-260565) (the “Registration Statement”) pursuant to which certain units (the “Public
Units”), each Public Unit consisting of one share (the “Public Shares”) of the Company’s common stock,
par value $0.001 per share (the “Common Stock”) and one warrant to purchase one Public Share (the “Public
Warrants”), are offered for sale to the public (the “Offering”), and at or before 5:00 p.m., Eastern Time,
on the fifth anniversary of the Effective Date (the “Expiration Date”), but not thereafter, to subscribe for, purchase
and receive, in whole or in part, a number of shares of Common Stock (the “UPO Shares”) and/or warrants (the “UPO
Warrants”) equal to 7.0% of the total number of Public Shares, Public Warrants, Option Shares and Option Warrants sold in the
Offering in the same proportion as sold in the Offering. The UPO Shares and UPO Warrants are collectively referred to herein as the “UPO
Securities.” Each UPO Warrant is identical to the Public Warrants. If the Expiration Date is a day on which banking institutions
are authorized by law to close, then this Unit Purchase Option may be exercised on the next succeeding day which is not such a day in
accordance with the terms herein. During the period ending on the Expiration Date, the Company agrees not to take any action that would
terminate the Unit Purchase Option. This Unit Purchase Option is initially exercisable at $[___] per UPO Share (or 120% of the public
offering price of the Public Shares) and $[___] per UPO Warrant (or 120% of the public offering price of the Public Warrants), as applicable;
provided, however, that upon the occurrence of any of the events specified in Section 5 hereof, the rights granted by this Unit Purchase
Option, including the exercise price per UPO Security and the number of UPO Securities to be received upon such exercise, shall be adjusted
as therein specified. The term “Exercise Price” shall mean the initial exercise price or the adjusted exercise price, depending
on the context. This Unit Purchase Option is one of the Unit Purchase Options issued pursuant to (i) Section 1.2.5 of the Underwriting
Agreement, dated as of [●], 2022, by and between the Company and Roth Capital Partners, LLC, as the Representative of the several
underwriters, if any, named in Schedule I thereto (the “Underwriting Agreement”) and (ii) the Company’s Registration
Statement.


 






     


     


    

 


1. EXERCISE UNIT PURCHASE
OPTION.


 


(a) Mechanics of Exercise.
Subject to the terms and conditions hereof, this Unit Purchase Option may be exercised by the Holder on any day on or after the Exercisability
Date, on one or more occasions, in whole or in part (but not as to fractional shares), by delivery of a written notice, in the form attached
hereto as Exhibit A (the “Exercise Notice”) of the Holder’s election to exercise this Unit Purchase Option.
No ink-original Notice of Exercise shall be required, nor shall any medallion guarantee (or other type of guarantee or notarization) of
any Notice of Exercise form be required. Within two (2) Trading Days of the delivery of such Exercise Notice, if the Holder is not electing
a Cashless Exercise (as defined below) pursuant to Section 1(d) of this Unit Purchase Option, the Holder shall pay to the Company an amount
equal to the applicable Exercise Price(s) multiplied by the number of UPO Securities to which this Unit Purchase Option is being exercised
(the “Aggregate Exercise Price”) in cash or wire transfer of immediately available funds (a “Cash Exercise”).
The Holder shall not be required to surrender this Unit Purchase Option in order to effect an exercise hereunder; provided, however, that
in the event that this Unit Purchase Option is exercised in full or for the remaining unexercised portion hereof, the Holder shall deliver
this Unit Purchase Option to the Company for cancellation within a reasonable time after such exercise. On or before the first Trading
Day following the date on which the Company has received the Exercise Notice (the date upon which the Company has received the Exercise
Notice, the “Exercise Date”), the Company shall transmit by facsimile or e-mail transmission an acknowledgment of confirmation
of receipt of the Exercise Notice to the Holder and the Company’s transfer agent for the Common Stock (the “Transfer Agent”).
The Company shall deliver any objection to the Exercise Notice on or before the second Trading Day following the date on which the Company
has received the Exercise Notice. On or before the second Trading Day following the date on which the Company has received the Exercise
Notice, provided the Aggregate Exercise Price has been received by the Company prior to such Trading Day (the “Share Delivery
Date”), the Company shall, (X) provided that the Transfer Agent is participating in The Depository Trust Company (“DTC”)
Fast Automated Securities Transfer Program (the “FAST Program”) and so long as the certificates therefor are not required
to bear a legend regarding restriction on transferability, upon the request of the Holder, credit such aggregate number of shares of Common
Stock to which the Holder is entitled pursuant to such exercise to the Holder’s or its designee’s balance account with DTC
through its Deposit Withdrawal Agent Commission system, or (Y), if the Transfer Agent is not participating in the FAST Program or if the
certificates are required to bear a legend regarding restriction on transferability, issue and dispatch by overnight courier to the address
as specified in the Exercise Notice, a certificate, registered in the Company’s share register in the name of the Holder or its
designee, for the number of UPO Securities to which the Holder is entitled pursuant to such exercise. Upon delivery of the Exercise Notice
and payment of the Aggregate Exercise Price, the Holder shall be deemed for all corporate purposes to have become the holder of record
of the UPO Securities with respect to which this Unit Purchase Option has been exercised, irrespective of the date such UPO Securities
are credited to the Holder’s DTC account or the date of delivery of the certificates evidencing such UPO Securities, as the case
may be. If this Unit Purchase Option is submitted in connection with any exercise pursuant to this Section 1(a) and the number of UPO
Securities represented by this Unit Purchase Option submitted for exercise is greater than the number of UPO Securities being acquired
upon an exercise, then the Company shall as soon as practicable and in no event later than three Trading Days after any such submission
and at its own expense, issue a new Unit Purchase Option (in accordance with Section 7(d)) representing the right to purchase the number
of UPO Securities purchasable immediately prior to such exercise under this Unit Purchase Option, less the number of UPO Securities with
respect to which this Unit Purchase Option has been and/or is exercised. The Company shall pay any and all taxes and other expenses of
the Company (including overnight delivery charges) that may be payable with respect to the issuance and delivery of UPO Securities upon
exercise of this Unit Purchase Option; provided, however, that the Company shall not be required to pay any tax which may
be payable in respect of any transfer involved in the registration of any certificates for UPO Securities or Unit Purchase Options in
a name other than that of the Holder or an affiliate thereof. The Holder shall be responsible for all other tax liability that may arise
as a result of holding or transferring this Unit Purchase Option or receiving UPO Securities upon exercise hereof.


 


(b) Exercise Price.
For purposes of this Unit Purchase Option, “Exercise Price” means $[●] per UPO Share or $[●] per UPO Warrant,
as applicable, subject to adjustment as provided herein.


 


(c) Company’s Failure
to Timely Deliver Securities. If the Company shall fail for any reason or for no reason to issue to the Holder within five (5) Business
Days of the Exercise Date certificates for the number of UPO Securities to which the Holder is entitled and register such UPO Securities
on the Company’s share and warrant register, respectively, or to credit the Holder’s balance account with DTC for such number
of UPO Securities to which the Holder is entitled upon the Holder’s exercise of this Unit Purchase Option, and if on or after such
Trading Day the Holder purchases, or another Person purchasers on the Holder’s behalf or for the Holder’s account (in an open
market transaction or otherwise) shares of Common Stock and/or warrants to purchase Common Stock to deliver in satisfaction of a sale
by the Holder of shares of UPO Securities issuable upon such exercise that the Holder anticipated receiving from the Company (a “Buy-In”),
then the Company shall, within three (3) Business Days after the Holder’s written request and in the Holder’s discretion,
either (i) pay cash to the Holder in an amount equal to the Holder’s total purchase price (including brokerage commissions, if any)
for the shares of Common Stock and Public Warrants so purchased (the “Buy-In Price”), at which point the Company’s
obligation to deliver such certificate (and to issue such UPO Securities) shall terminate, or (ii) promptly honor its obligation to deliver
to the Holder a certificate or certificates representing such UPO Securities and pay cash to the Holder in an amount equal to the excess
(if any) of the Buy-In Price over the product of (A) such number of shares of Common Stock and the number of Public Warrants, times (B)
the Weighted Average Price (as reported by Bloomberg) of the Common Stock and the Public Warrants, respectively, on the date of the event
giving rise to the Company’s obligation to deliver such certificates.


 






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(d) Cashless Exercise.
In lieu of the payment of the applicable Exercise Price(s) multiplied by the number of UPO Securities for which this Unit Purchase Option
is exercisable (and in lieu of being entitled to receive UPO Securities) in the manner required by Section 1(a), the Holder shall have
the right (but not the obligation) to convert any exercisable but unexercised portion of this Unit Purchase Option into UPO Securities
(the “Conversion Right”) as follows:


 


(A) Upon exercise of the Conversion
Right, the Company shall deliver to the Holder (without payment by the Holder of any of the Exercise Price in cash) that number of UPO
Shares equal to the quotient obtained by dividing (x) the Value of the portion of the Unit Purchase Option being converted by (y) the
Current Market Price of a share of Common Stock.


 


(B) The “Value”
of the portion of the Unit Purchase Option being converted shall equal the remainder derived by subtracting (a) (i) the applicable Exercise
Price(s) multiplied by (ii) the number of UPO Securities underlying the portion of this Unit Purchase Option being converted, from (b)
the Current Market Value of the UPO Securities multiplied by the number of UPO Securities underlying the portion of the Unit Purchase
Option being converted.


 


(C) As used herein, the term “Current
Market Value” at any date means the remainder derived by subtracting (x) the exercise price of the UPO Warrants multiplied
by the number of shares of Common Stock issuable upon exercise of the UPO Warrants from (y) the Current Market Price of the UPO Shares
multiplied by the number of UPO Shares issued upon exercise of this Unit Purchase Option.


 


(D) The “Current Market
Price” of a share of Common Stock shall mean (i) if the Common Stock is listed on a national securities exchange or quoted
on the OTCQB or OTCQX (or any successor exchange or entity), the closing or last sale price of the Common Stock in the principal trading
market for the shares on the last trading day preceding the day in question as reported by the exchange, the OTCQB or OTCQX, as the case
may be; (ii) if the Common Stock is not listed on a national securities exchange or quoted on the OTCQB or OTCQX, but is traded in the
residual over-the-counter market, the closing bid price for the Common Stock on the last trading day preceding the date in question for
which such quotations are reported in the “Pink Sheets” published by OTC Markets Group, Inc. or similar publisher of such
quotations; and (iii) if the fair market value of the Common Stock cannot be determined pursuant to clause (i) or (ii) above, such price
as the Board of Directors of the Company shall determine, in good faith.


 


The Cashless Exercise Right may be exercised by
the Holder on any business day on or after the Sales Commencement Date and not later than the Expiration Date by delivering the Unit Purchase
Option with the duly executed exercise form attached hereto with the cashless exercise section completed to the Company, exercising the
Cashless Exercise Right and specifying the total number of UPO Securities the Holder will purchase pursuant to such Cashless Exercise
Right.


 






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(e) Rule 144. For purposes
of Rule 144(d) promulgated under the Securities Act of 1933, as amended, as in effect on the date hereof, assuming the Holder is not an
affiliate of the Company, it is intended that the UPO Securities issued in a Cashless Exercise shall be deemed to have been acquired by
the Holder, and the holding period for the UPO Securities shall be deemed to have commenced, on the Issuance Date.


 


(f) Disputes. In the
case of a dispute as to the determination of the Exercise Price(s) or the arithmetic calculation of the UPO Securities, the Company shall
promptly issue to the Holder the number of UPO Securities that are not disputed.


 


(g) Beneficial Ownership.
The Company shall not effect the exercise of this Unit Purchase Option, and the Holder shall not have the right to exercise this Unit
Purchase Option, to the extent that after giving effect to such exercise, such Person (together with such Person’s affiliates) would
beneficially own in excess of 4.99% (the “Maximum Percentage”) of the shares of Common Stock outstanding immediately
after giving effect to such exercise. For purposes of the foregoing sentence, the aggregate number of shares of Common Stock beneficially
owned by such Person and its affiliates shall include the number of shares of Common Stock issuable upon exercise of this Unit Purchase
Option with respect to which the determination of such sentence is being made, but shall exclude shares of Common Stock which would be
issuable upon (i) exercise of the remaining, unexercised portion of this Unit Purchase Option beneficially owned by such Person and its
affiliates and (ii) exercise or conversion of the unexercised or unconverted portion of any other securities of the Company beneficially
owned by such Person and its affiliates (including, without limitation, any convertible notes or convertible preferred stock or warrants)
subject to a limitation on conversion or exercise analogous to the limitation contained herein. Except as set forth in the preceding sentence,
for purposes of this paragraph, beneficial ownership shall be calculated in accordance with Section 13(d) of the Securities Exchange Act
of 1934, as amended (the “Exchange Act”). For purposes of this Unit Purchase Option, in determining the number of outstanding
shares of Common Stock, the Holder may rely on the number of outstanding shares of Common Stock as reflected in the most recent of (1)
the Company’s most recent Form 10-K, Form 10-Q, Current Report on Form 8-K or other public filing with the Securities and Exchange
Commission, as the case may be, (2) a more recent public announcement by the Company or (3) any other notice by the Company or the Transfer
Agent setting forth the number of shares of Common Stock outstanding. For any reason at any time, upon the written or oral request of
the Holder, the Company shall within two (2) Business Days confirm to the Holder the number of shares of Common Stock then outstanding.
In any case, the number of outstanding shares of Common Stock shall be determined after giving effect to the conversion or exercise of
securities of the Company, including this Unit Purchase Option, by the Holder and its affiliates since the date as of which such number
of outstanding shares of Common Stock was reported. By written notice to the Company, the Holder may from time to time increase or decrease
the Maximum Percentage to any other percentage not in excess of 9.99% specified in such notice; provided that (i) any such increase will
not be effective until the sixty-first (61st) day after such notice is delivered to the Company, and (ii) any such increase or decrease
will apply only to the Holder. The provisions of this paragraph shall be construed and implemented in a manner otherwise than in strict
conformity with the terms of this Section 1(g) to correct this paragraph (or any portion hereof) which may be defective or inconsistent
with the intended beneficial ownership limitation herein contained or to make changes or supplements necessary or desirable to properly
give effect to such limitation.


 


2. ADJUSTMENT OF EXERCISE
PRICE(S) AND NUMBER OF UPO SECURITIES. The Exercise Price(s) and the number of UPO Securities shall be adjusted from time to time
as follows:


 


(a) Voluntary Adjustment
by Company. The Company may at any time during the term of this Unit Purchase Option reduce the then current Exercise Price(s) to
any amount and for any period of time deemed appropriate by the Board of Directors of the Company.


 


(b) Adjustment upon Subdivision
or Combination of Common Stock. If the Company at any time on or after the Issuance Date subdivides (by any stock split, stock dividend,
recapitalization, reorganization, scheme, arrangement or otherwise) one or more classes of its outstanding shares of Common Stock into
a greater number of shares, the Exercise Price(s) in effect immediately prior to such subdivision will be proportionately reduced and
the number of UPO Securities will be proportionately increased. If the Company at any time on or after the Issuance Date combines (by
any stock split, stock dividend, recapitalization, reorganization, scheme, arrangement or otherwise) one or more classes of its outstanding
shares of Common Stock into a smaller number of shares, the Exercise Price(s) in effect immediately prior to such combination will be
proportionately increased and the number of UPO Securities will be proportionately decreased. Any adjustment under this Section 2(b) shall
become effective at the close of business on the date the subdivision or combination becomes effective.


 






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(c) Other Events. If any
event occurs of the type contemplated by the provisions of this Section 2 but not expressly provided for by such provisions (including,
without limitation, the granting of stock appreciation rights or phantom stock rights), then the Company’s Board of Directors will
make an appropriate adjustment in the Exercise Price(s) and the number of UPO Securities so as to protect the rights of the Holder; provided
that no such adjustment pursuant to this Section 2(c) will increase the Exercise Price(s) or decrease the number of UPO Securities as
otherwise determined pursuant to this Section 2.


 


3. RIGHTS UPON DISTRIBUTION
OF ASSETS.


 


(a) If the Company, at any
time while this Unit Purchase Option is outstanding, shall distribute to all holders of Common Stock (and not to the Holders) evidences
of its indebtedness or assets (including cash and cash dividends) or rights or warrants to subscribe for or purchase any security other
than the Common Stock (including, without limitation, any distribution of cash, stock or other securities, property or options by way
of a dividend, spin off, reclassification, corporate rearrangement, scheme of arrangement or other similar transaction), then in each
such case the Exercise Price(s) shall be adjusted by multiplying the Exercise Price(s) in effect immediately prior to the record date
fixed for determination of stockholders entitled to receive such distribution by a fraction of which the denominator shall be the Weighted
Average Price determined as of the record date mentioned above, and of which the numerator shall be such Weighted Average Price on such
record date less the then per share fair market value at such record date of the portion of such assets or evidence of indebtedness so
distributed applicable to one outstanding share of the Common Stock as determined by the Board of Directors in good faith. In either case
the adjustments shall be described in a statement provided to the Holder of the portion of assets or evidences of indebtedness so distributed
or such subscription rights applicable to one share of Common Stock. Such adjustment shall be made whenever any such distribution is made
and shall become effective immediately after the record date mentioned above.


 


4. PURCHASE RIGHTS; FUNDAMENTAL
TRANSACTIONS.


 


(a) Purchase Rights.
In addition to any adjustments pursuant to Section 2 above, if at any time the Company grants, issues or sells any Options, Convertible
Securities or rights to purchase stock, warrants, securities or other property pro rata to the record holders of any class of Common Stock
(the “Purchase Rights”), then the Holder will be entitled to acquire, upon the terms applicable to such Purchase Rights,
the aggregate Purchase Rights which the Holder could have acquired if the Holder had held the number of shares of Common Stock acquirable
upon complete exercise of this Unit Purchase Option and the underlying UPO Warrants (without regard to any limitations on the exercise
of this Unit Purchase Option) immediately before the date on which a record is taken for the grant, issuance or sale of such Purchase
Rights, or, if no such record is taken, the date as of which the record holders of shares of Common Stock are to be determined for the
grant, issue or sale of such Purchase Rights.


 


(b) Fundamental Transactions.
The Company shall not enter into or be party to a Fundamental Transaction unless the Successor Entity assumes in writing (unless the Company
is the Successor Entity) all of the obligations of the Company under this Unit Purchase Option in accordance with the provisions of this
Section (4)(b) pursuant to written agreements in form and substance reasonably satisfactory to the Required Holders and approved by the
Required Holders prior to such Fundamental Transaction, including agreements to deliver to each holder of the UPO Warrants in exchange
for such UPO Warrants a security of the Successor Entity evidenced by a written instrument substantially similar in form and substance
to this Unit Purchase Option, including, without limitation, an adjusted exercise price equal to the value for the shares of Common Stock
reflected by the terms of such Fundamental Transaction, and exercisable for a corresponding number of shares of capital stock equivalent
to the shares of Common Stock acquirable and receivable upon exercise of this Unit Purchase Option (without regard to any limitations
on the exercise of this Unit Purchase Option) prior to such Fundamental Transaction, and reasonably satisfactory to the Required Holders.
Upon the occurrence of any Fundamental Transaction, the Successor Entity shall succeed to, and be substituted for (so that from and after
the date of such Fundamental Transaction, the provisions of this Unit Purchase Option referring to the “Company” shall refer
instead to the Successor Entity), and may exercise every right and power of the Company and shall assume all of the obligations of the
Company under this Unit Purchase Option with the same effect as if such Successor Entity had been named as the Company herein. Upon consummation
of the Fundamental Transaction, the Successor Entity shall deliver to the Holder confirmation that there shall be issued upon exercise
of this Unit Purchase Option at any time after the consummation of the Fundamental Transaction, in lieu of the UPO Securities (or other
securities, cash, assets or other property) issuable upon the exercise of the Unit Purchase Option prior to such Fundamental Transaction,
such shares of the publicly traded common stock or common shares (or its equivalent) of the Successor Entity (including its Parent Entity)
which the Holder would have been entitled to receive upon the happening of such Fundamental Transaction had this Unit Purchase Option
been converted immediately prior to such Fundamental Transaction, as adjusted in accordance with the provisions of this Unit Purchase
Option. In addition to and not in substitution for any other rights hereunder, prior to the consummation of any Fundamental Transaction
pursuant to which holders of shares of Common Stock are entitled to receive securities or other assets with respect to or in exchange
for shares of Common Stock (a “Corporate Event”), the Company shall make appropriate provision to insure that the Holder
will thereafter have the right to receive upon an exercise of this Unit Purchase Option at any time after the consummation of the Corporate
Event but prior to the Expiration Date, in lieu of UPO Shares (or other securities, cash, assets or other property) purchasable upon the
exercise of this Unit Purchase Option prior to such Corporate Event, such shares of stock, securities, cash, assets or any other property
whatsoever (including warrants or other purchase or subscription rights) which the Holder would have been entitled to receive upon the
happening of such Corporate Event had this Unit Purchase Option been exercised immediately prior to such Corporate Event. Provision made
pursuant to the preceding sentence shall be in a form and substance reasonably satisfactory to the Required Holders. The provisions of
this Section 4(b) shall apply similarly and equally to successive Fundamental Transactions and Corporate Events and shall be applied without
regard to any limitations on the exercise of this Unit Purchase Option.


 






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(c) Applicability to Successive
Transactions. The provisions of this Section shall apply similarly and equally to successive Fundamental Transactions and Corporate
Events and shall be applied without regard to any limitations on the exercise of this Unit Purchase Option.


 


5. NONCIRCUMVENTION.
The Company hereby covenants and agrees that the Company will not, by amendment of its Certificate of Incorporation, Bylaws or through
any reorganization, transfer of assets, consolidation, merger, scheme of arrangement, dissolution, issue or sale of securities, or any
other voluntary action, avoid or seek to avoid the observance or performance of any of the terms of this Unit Purchase Option, and will
at all times in good faith comply with all the provisions of this Unit Purchase Option and take all actions consistent with effectuating
the purposes of this Unit Purchase Option. Without limiting the generality of the foregoing, the Company (i) shall not increase the par
value of any shares of Common Stock receivable upon the exercise of this Unit Purchase Option above the Exercise Price then in effect,
(ii) shall take all such actions as may be necessary or appropriate in order that the Company may validly and legally issue fully paid
and nonassessable shares of Common Stock upon the exercise of this Unit Purchase Option, and (iii) shall, so long as this Unit Purchase
Option is outstanding, take all action necessary to reserve and keep available out of its authorized and unissued shares of Common Stock,
solely for the purpose of effecting the exercise of this Unit Purchase Option, 100% of the number of shares of Common Stock issuable upon
exercise of this Unit Purchase Option then outstanding (without regard to any limitations on exercise).


 


6. UNIT PURCHASE OPTION
HOLDER NOT DEEMED A STOCKHOLDER. Except as otherwise specifically provided herein, the Holder, solely in such Person’s capacity
as a holder of this Unit Purchase Option, shall not be entitled to vote or receive dividends or be deemed the holder of share capital
of the Company for any purpose, nor shall anything contained in this Unit Purchase Option be construed to confer upon the Holder, solely
in such Person’s capacity as the Holder of this Unit Purchase Option, any of the rights of a stockholder of the Company or any right
to vote, give or withhold consent to any corporate action (whether any reorganization, issue of stock, reclassification of stock, consolidation,
merger, conveyance or otherwise), receive notice of meetings, receive dividends or subscription rights, or otherwise, prior to the issuance
to the Holder of the UPO Securities which such Person is then entitled to receive upon the due exercise of this Unit Purchase Option.
In addition, nothing contained in this Unit Purchase Option shall be construed as imposing any liabilities on the Holder to purchase any
securities (upon exercise of this Unit Purchase Option or otherwise) or as a stockholder of the Company, whether such liabilities are
asserted by the Company or by creditors of the Company.


 


7. REISSUANCE OF UNIT PURCHASE
OPTIONS.


 


(a) Transfer of Unit Purchase
Option. If this Unit Purchase Option is to be transferred, the Holder shall surrender this Unit Purchase Option to the Company and
deliver the completed and executed Assignment Form, in the form attached hereto as Exhibit B, whereupon the Company will forthwith
issue and deliver upon the order of the Holder a new Unit Purchase Option (in accordance with Section 7(d)), registered as the Holder
may request, representing the right to purchase the number of UPO Securities being transferred by the Holder and, if less than the total
number of UPO Securities then underlying this Unit Purchase Option is being transferred, a new Unit Purchase Option (in accordance with
Section 7(d)) to the Holder representing the right to purchase the number of UPO Securities not being transferred.


 






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(b) Lost, Stolen or Mutilated
Unit Purchase Option. Upon receipt by the Company of evidence reasonably satisfactory to the Company of the loss, theft, destruction
or mutilation of this Unit Purchase Option, and, in the case of loss, theft or destruction, of any indemnification undertaking by the
Holder to the Company in customary form and, in the case of mutilation, upon surrender and cancellation of this Unit Purchase Option,
the Company shall execute and deliver to the Holder a new Unit Purchase Option (in accordance with Section 7(d)) representing the right
to purchase the UPO Securities then underlying this Unit Purchase Option.


 


(c) Exchangeable for Multiple
Unit Purchase Options. This Unit Purchase Option is exchangeable, upon the surrender hereof by the Holder at the principal office
of the Company, for a new Unit Purchase Option or Unit Purchase Options (in accordance with Section 7(d)) representing in the aggregate
the right to purchase the number of UPO Securities then underlying this Unit Purchase Option, and each such new Unit Purchase Option will
represent the right to purchase such portion of such UPO Securities as is designated by the Holder at the time of such surrender; provided,
however, that no Unit Purchase Options for fractional shares of Common Stock shall be given.


 


(d) Issuance of New Unit
Purchase Options. Whenever the Company is required to issue a new Unit Purchase Option pursuant to the terms of this Unit Purchase
Option, such new Unit Purchase Option (i) shall be of like tenor with this Unit Purchase Option, (ii) shall represent, as indicated on
the face of such new Unit Purchase Option, the right to purchase the UPO Securities then underlying this Unit Purchase Option (or in the
case of a new Unit Purchase Option being issued pursuant to Section 7(a) or Section 7(c), the UPO Securities designated by the Holder
which, when added to the number UPO Securities underlying the other new Unit Purchase Options issued in connection with such issuance,
does not exceed the number of UPO Securities then underlying this Unit Purchase Option), (iii) shall have an issuance date, as indicated
on the face of such new Unit Purchase Option which is the same as the Issuance Date, and (iv) shall have the same rights and conditions
as this Unit Purchase Option.


 


8. NOTICES. The Company
shall provide Holder with prompt written notice of all actions taken pursuant to this Unit Purchase Option. Whenever notice is required
to be given under this Unit Purchase Option, unless otherwise provided herein, such notice shall be given in writing, will be mailed (a)
if within the domestic United States by first-class registered or certified airmail, or nationally recognized overnight express courier,
postage prepaid, or by facsimile or (b) if delivered from outside the United States, by International Federal Express or facsimile, and
(c) will be deemed given (i) if delivered by first-class registered or certified mail domestic, three business days after so mailed, (ii)
if delivered by nationally recognized overnight carrier, one business day after so mailed, (iii) if delivered by International Federal
Express, two business days after so mailed and (iv) if delivered by facsimile, upon electronic confirmation of receipt, and will be delivered
and addressed as follows:


 


(i) if to the Company, to:


 


Intensity Therapeutics, Inc. 


61 Wilton Road, 3rd Floor 


Westport, CT 06880 


Attn: Lew Bender 


Fax No: 203-557-3023 





 






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with a copy to:


 


McDermott Will & Emery LLP 


One Vanderbilt Avenue 


New York, NY 10017 


Attn: Robert Cohen, Esq. 


Fax No: 212 547 5444


 


(ii) if to the Holder, at the address
of the Holder appearing on the books of the Company.


 


9. AMENDMENT AND WAIVER.
Except as otherwise provided herein, the provisions of this Unit Purchase Option may be amended and the Company may take any action herein
prohibited, or omit to perform any act herein required to be performed by it, only if the Company has obtained the written consent of
the Required Holders. Any such amendment shall apply to all Unit Purchase Options and be binding upon all registered holders of such Unit
Purchase Options.


 


10. GOVERNING LAW; CONSENT
TO JURISDICTION; WAIVER OF JURY TRIAL. This Unit Purchase Option shall be governed by, and construed in accordance with, the internal
laws of the State of New York, without reference to the choice of law provisions thereof. The Company and, by accepting this Unit Purchase
Option, the Holder, each irrevocably submits to the exclusive jurisdiction of the courts of the State of New York located in New York
County and the United States District Court for the Southern District of New York for the purpose of any suit, action, proceeding or judgment
relating to or arising out of this Unit Purchase Option and the transactions contemplated hereby. Service of process in connection with
any such suit, action or proceeding may be served on each party hereto anywhere in the world by the same methods as are specified for
the giving of notices under this Unit Purchase Option. The Company and, by accepting this Unit Purchase Option, the Holder, each irrevocably
consents to the jurisdiction of any such court in any such suit, action or proceeding and to the laying of venue in such court. The Company
and, by accepting this Unit Purchase Option, the Holder, each irrevocably waives any objection to the laying of venue of any such suit,
action or proceeding brought in such courts and irrevocably waives any claim that any such suit, action or proceeding brought in any such
court has been brought in an inconvenient forum. EACH OF THE COMPANY AND, BY ITS ACCEPTANCE HEREOF, THE HOLDER HEREBY WAIVES ANY RIGHT
TO REQUEST A TRIAL BY JURY IN ANY LITIGATION WITH RESPECT TO THIS UNIT PURCHASE OPTION AND REPRESENTS THAT COUNSEL HAS BEEN CONSULTED
SPECIFICALLY AS TO THIS WAIVER.


 


11. CONSTRUCTION; HEADINGS.
This Unit Purchase Option shall be deemed to be jointly drafted by the Company and the Holder and shall not be construed against any person
as the drafter hereof. The headings of this Unit Purchase Option are for convenience of reference and shall not form part of, or affect
the interpretation of, this Unit Purchase Option.


 


12. DISPUTE RESOLUTION.
In the case of a dispute as to the determination of the Exercise Price(s) or the arithmetic calculation of the UPO Securities, the Company
shall submit the disputed determinations or arithmetic calculations via facsimile within two (2) Business Days of receipt of the Exercise
Notice giving rise to such dispute, as the case may be, to the Holder. If the Holder and the Company are unable to agree upon such determination
or calculation of the Exercise Price(s) of the UPO Securities within three Business Days of such disputed determination or arithmetic
calculation being submitted to the Holder, then the Company shall, within two (2) Business Days submit via facsimile (a) the disputed
determination of the Exercise Price(s) to an independent, reputable investment bank selected by the Company and approved by the Holder,
which approval shall not be unreasonably withheld, or (b) the disputed arithmetic calculation of the UPO Securities to the Company’s
independent, outside accountant. The Company shall cause the investment bank or the accountant, as the case may be, to perform the determinations
or calculations and notify the Company and the Holder of the results no later than ten Business Days from the time it receives the disputed
determinations or calculations. The prevailing party (which, for purposes of this Unit Purchase Option, is the party whose determinations
or calculations is closest to those of the investment bank or the accountant, as the case may be) in any dispute resolved pursuant to
this Section 12 shall be entitled to the full amount of all reasonable expenses, including all costs and fees paid or incurred in good
faith, in relation to the resolution of such dispute. Such investment bank’s or accountant’s determination or calculation,
as the case may be, shall be binding upon all parties absent demonstrable error.


 






    8


     


    

 


13. REMEDIES, OTHER OBLIGATIONS,
BREACHES AND INJUNCTIVE RELIEF. The remedies provided in this Unit Purchase Option shall be cumulative and in addition to all other
remedies available under this Unit Purchase Option, at law or in equity (including a decree of specific performance and/or other injunctive
relief), and nothing herein shall limit the right of the Holder to pursue actual damages for any failure by the Company to comply with
the terms of this Unit Purchase Option.


 


14. TRANSFER. Subject
to applicable laws and the restrictions set forth in this paragraph, this Unit Purchase Option may be offered for sale, sold, transferred
or assigned without the consent of the Company. The Holder agrees that, pursuant to the Lock-Up Period (as defined below) contained in
Rule 5110(e)(1) of the Financial Industry Regulatory Authority, Inc. (“FINRA”), it will not (a) sell, transfer, assign,
pledge, hypothecate or otherwise transfer this Unit Purchase Option (including any UPO Securities issued or issuable hereunder); provided
that the following will not be prohibited: (i) the transfer of this Unit Purchase Option or any UPO Securities to any member participating
in the offering and/or to its officers or partners, its registered persons or affiliates, if all transferred securities remain subject
to the lock-up restriction in Rule 5110(e)(1) for the remainder of the Lock-Up Period; (ii) the exercise of this Unit Purchase Option,
if all securities received remain subject to the lock-up restriction in Rule 5110(e)(1) for the remainder of the Lock-Up Period; or (iii)
the transfer or sale of this Unit Purchase Option or any UPO Securities to the Company in a transaction exempt from registration under
the Securities Act of 1933, as amended. As used herein, the term “Lock-Up Period” means the period beginning on the
date of the commencement of sales of the public offering contemplated by the Underwriting Agreement under the registration statement registering
this Unit Purchase Option (the “Sales Commencement Date”) and ending on the one hundred eighty day anniversary of the
Sales Commencement Date. In addition, notwithstanding the other terms of this Unit Purchase Option or any agreement between the Company
and the Holder, the Holder agrees that, as required by FINRA Rule 5110, (i) this Unit Purchase Option may not be exercised more than five
years from the Sales Commencement Date; (ii) the Holder shall not have more than one demand registration right at the Company’s
expense; (iii) the Holder shall not have the right to demand registration of this Unit Purchase Option or the UPO Securities more than
five years after the Sales Commencement Date; (iv) the Holder shall not have the right to piggyback registration with respect to this
Unit Purchase Option or the UPO Securities more than seven years from the Sales Commencement Date; (v) this Unit Purchase Option may not
have anti-dilution terms that allow the Holder and related persons to receive more shares or to exercise at a lower price than originally
agreed upon at the time of the public offering, when the public shareholders have not been proportionally affected by a stock split, stock
dividend, or other similar event; and (vi) this Unit Purchase Option may not have anti-dilution terms that allow the Holder and related
persons to receive or accrue cash dividends prior to the exercise or conversion of the security.


 


15. CERTAIN DEFINITIONS.
For purposes of this Unit Purchase Option, the following terms shall have the following meanings:


 


(a) “Bloomberg”
means Bloomberg Financial Markets.


 


(b) “Business Day”
means any day other than Saturday, Sunday or other day on which commercial banks in The City of New York are authorized or required by
law to remain closed.


 


(c) “Closing Bid
Price” and “Closing Sale Price” means, for any security as of any date, the last closing bid price and last
closing trade price, respectively, for such security on the Principal Market, as reported by Bloomberg, or, if the Principal Market begins
to operate on an extended hours basis and does not designate the closing bid price or the closing trade price, as the case may be, then
the last bid price or the last trade price, respectively, of such security prior to 4:00:00 p.m., New York time, as reported by Bloomberg,
or, if the Principal Market is not the principal securities exchange or trading market for such security, the last closing bid price or
last trade price, respectively, of such security on the principal securities exchange or trading market where such security is listed
or traded as reported by Bloomberg, or if the foregoing do not apply, the last closing bid price or last trade price, respectively, of
such security in the over-the-counter market on the electronic bulletin board for such security as reported by Bloomberg, or, if no closing
bid price or last trade price, respectively, is reported for such security by Bloomberg, the average of the bid prices, or the ask prices,
respectively, of any market makers for such security as reported in the “pink sheets” by Pink Sheets LLC (formerly the National
Quotation Bureau, Inc.). If the Closing Bid Price or the Closing Sale Price cannot be calculated for a security on a particular date on
any of the foregoing bases, the Closing Bid Price or the Closing Sale Price, as the case may be, of such security on such date shall be
the fair market value as mutually determined by the Company and the Holder. All such determinations to be appropriately adjusted for any
stock dividend, stock split, stock combination or other similar transaction during the applicable calculation period.


 






    9


     


    

 


(d) “Common Stock”
means (i) the Company’s shares of Common Stock, par value $0.0001 per share, and (ii) any share capital into which such Common Stock
shall have been changed or any share capital resulting from a reclassification of such Common Stock.


 


(e) “Convertible
Securities” means any stock or securities (other than Options) directly or indirectly convertible into or exercisable or exchangeable
for shares of Common Stock.


 


(f) “Eligible Market”
means the Principal Market, The New York Stock Exchange, Inc., the NYSE American, The Nasdaq Global Market or The Nasdaq Global Select
Market.


 


(g) “Expiration Date”
means the fifth (5th) anniversary of the Exercisability Date or, if such date falls on a day other than a Trading Day or on which trading
does not take place on the Principal Market, or, if the Principal Market is not the principal trading market for the Common Stock, then
on the principal securities exchange or securities market on which the Common Stock is then traded (a “Holiday”), the
next date that is not a Holiday.


 


(h) “Fundamental
Transaction” means that the Company shall, directly or indirectly, in one or more related transactions, (i) consolidate or merge
with or into (whether or not the Company is the surviving corporation) another Person (but excluding a migratory merger effected solely
for the purpose of changing the jurisdiction of incorporation of the Company), or (ii) sell, assign, transfer, convey or otherwise dispose
of all or substantially all of the properties or assets of the Company to another Person, or (iii) allow another Person to make a purchase,
tender or exchange offer that is accepted by the holders of more than the 50% of the outstanding shares of Common Stock (not including
any shares of Common Stock held by the Person or Persons making or party to, or associated or affiliated with the Persons making or party
to, such purchase, tender or exchange offer), or (iv) consummate a stock purchase agreement or other business combination (including,
without limitation, a reorganization, recapitalization, spin-off or scheme of arrangement) with another Person whereby such other Person
acquires more than 50% of the outstanding shares of Common Stock (not including any shares of Common Stock held by the other Person or
other Persons making or party to, or associated or affiliated with the other Persons making or party to, such stock purchase agreement
or other business combination), (v) reorganize, recapitalize or reclassify its Common Stock, or (vi) any “person” or “group”
(as these terms are used for purposes of Sections 13(d) and 14(d) of the Exchange Act) is or shall become the “beneficial owner”
(as defined in Rule 13d-3 under the Exchange Act), directly or indirectly, of 50% of the aggregate ordinary voting power represented by
issued and outstanding Common Stock.


 


(i) “Options”
means any rights, warrants or options to subscribe for or purchase shares of Common Stock or Convertible Securities.


 


(j) “Option Shares”
means the shares of Common Stock, if any, purchased pursuant to the over-allotment option of the underwriters for the Offering pursuant
to the Underwriting Agreement.


 


(k) “Option Warrants”
means the warrants, if any, purchased pursuant to the over-allotment option of the underwriters for the Offering pursuant to the Underwriting
Agreement.


 


(l) “Parent Entity”
of a Person means an entity that, directly or indirectly, controls the applicable Person and whose common stock or equivalent equity security
is quoted or listed on an Eligible Market, or, if there is more than one such Person or Parent Entity, the Person or Parent Entity with
the largest public market capitalization as of the date of consummation of the Fundamental Transaction.


 


(m) “Person”
means an individual, a limited liability company, a partnership, a joint venture, a corporation, a trust, an unincorporated organization,
any other entity and a government or any department or agency thereof.


 






    10


     


    

 


(n) “Principal Market”
means The Nasdaq Capital Market.


 


(o) “Required Holders”
means, as of any date, the holders of at least a majority of the Unit Purchase Options outstanding as of such date.


 


(p) “Successor Entity”
means the Person (or, if so elected by the Holder, the Parent Entity) formed by, resulting from or surviving any Fundamental Transaction
or the Person (or, if so elected by the Holder, the Parent Entity) with which such Fundamental Transaction shall have been entered into.


 


(q) “Trading Day”
means any day on which the Common Stock are traded on the Principal Market, or, if the Principal Market is not the principal trading market
for the Common Stock, then on the principal securities exchange or securities market on which the Common Stock are then traded; provided
that “Trading Day” shall not include any day on which the Common Stock are scheduled to trade on such exchange or market for
less than 4.5 hours or any day that the Common Stock are suspended from trading during the final hour of trading on such exchange or market
(or if such exchange or market does not designate in advance the closing time of trading on such exchange or market, then during the hour
ending at 4:00:00 p.m., New York time).


 


(r) “Weighted Average
Price” means, for any security as of any date, the dollar volume-weighted average price for such security on the Principal Market
during the period beginning at 9:30:01 a.m., New York time (or such other time as the Principal Market publicly announces is the official
open of trading), and ending at 4:00:00 p.m., New York time (or such other time as the Principal Market publicly announces is the official
close of trading), as reported by Bloomberg through its “Volume at Price” function or, if the foregoing does not apply, the
dollar volume-weighted average price of such security in the over-the-counter market on the electronic bulletin board for such security
during the period beginning at 9:30:01 a.m., New York time (or such other time as the Principal Market publicly announces is the official
open of trading), and ending at 4:00:00 p.m., New York time (or such other time as the Principal Market publicly announces is the official
close of trading), as reported by Bloomberg, or, if no dollar volume-weighted average price is reported for such security by Bloomberg
for such hours, the average of the highest closing bid price and the lowest closing ask price of any of the market makers for such security
as reported in the “pink sheets” by OTC Markets LLC. If the Weighted Average Price cannot be calculated for a security on
a particular date on any of the foregoing bases, the Weighted Average Price of such security on such date shall be the fair market value
as mutually determined by the Company and the Holder. If the Company and the Holder are unable to agree upon the fair market value of
such security, then such dispute shall be resolved pursuant to Section 12 with the term “Weighted Average Price” being substituted
for the term “Exercise Price.” All such determinations shall be appropriately adjusted for any stock dividend, stock split,
stock combination or other similar transaction during the applicable calculation period.


 


[Signature Page Follows]


 






    11


     


    

 


IN WITNESS WHEREOF,
the Company has caused this Unit Purchase Option to be duly executed as of the Issuance Date set out above.


 


	 	INTENSITY THERAPEUTICS, INC.
	 	 
	 	By:	                  
	 	Name: 	 
	 	Title:	 


 









     


     


    

 


EXHIBIT A


 


EXERCISE NOTICE


 


TO BE EXECUTED BY THE REGISTERED HOLDER TO EXERCISE
THIS


 


UNIT PURCHASE OPTION


 


INTENSITY THERAPEUTICS, INC.





 


The undersigned holder hereby
exercises the right to purchase UPO Securities of Intensity Therapeutics, Inc., a Delaware corporation (the “Company”),
evidenced by the attached Unit Purchase Option. Capitalized terms used herein and not otherwise defined shall have the respective meanings
set forth in the Unit Purchase Option.


 


1. Form of Exercise Price.
The Holder intends that payment of the Exercise Price shall be made as:


 


____________ a “Cash
Exercise” with respect to _________________ UPO Shares and _________________ UPO Warrants; and/or


 


____________ a “Cashless
Exercise” with respect to _______________ UPO Shares and _________________ UPO Warrants.


 


2. Payment of Exercise Price.
In the event that the holder has elected a Cash Exercise with respect to some or all of the UPO Securities to be issued pursuant hereto,
the holder shall pay the Aggregate Exercise Price in the sum of $___________________ to the Company in accordance with the terms of the
Unit Purchase Option.


 


3. Delivery of UPO Securities.
The Company shall deliver to the holder __________ UPO Shares and _________________ UPO Warrants in accordance with the terms of the Unit
Purchase Option and, after delivery of such UPO Securities, _____________ UPO Shares and _________________ UPO Warrants remain subject
to the Unit Purchase Option.


 


Date: _______________ __, ______


 


	 	 
	Name of Registered Holder	 
	 	 
	By:	      	 
	Name:	 	 
	Title:	 	 








 






    A-1


     


    

 


EXHIBIT B


 


ASSIGNMENT FORM


 


INTENSITY THERAPEUTICS, INC.





 


(To assign the foregoing
Unit Purchase Option, execute this form and supply required information. Do not use this form to purchase UPO Securities.)


 


FOR VALUE RECEIVED, the foregoing
Unit Purchase Option and all rights evidenced thereby are hereby assigned to


 


	
    

    Name: 
	 	 
	 	 	 
	 	 	(Please Print)
	 	 	 
	Address:	 	 
	 	 	 
	 	 	(Please Print)
	 	 	 
	Dated: _______________ __, ______	 	 
	 	 	 
	Holder’s Signature:	 	 	 
	 	 	 
	Holder’s Address:	 	 	 


 


NOTE: The signature to this Assignment Form must
correspond with the name as it appears on the face of the Unit Purchase Option, without alteration or enlargement or any change whatever.
Officers of corporations and those acting in a fiduciary or other representative capacity should file proper evidence of authority to
assign the foregoing Unit Purchase Option.


 


 


B-1