EX-4.1





 Exhibit 4.1 

WARRANT AGREEMENT 
 THIS
WARRANT AGREEMENT (this “Agreement”), dated as of January 11, 2021, is entered into by and between Adit EdTech Acquisition Corporation, a Delaware corporation (the “Company”), and Continental Stock
Transfer & Trust Company, a New York corporation (the “Warrant Agent”). 
 WHEREAS, the Company has filed
with the Securities and Exchange Commission a Registration Statement on Form S-1, No: 333-251641, as amended (the “Registration Statement”), for the
registration, under the Securities Act of 1933, as amended (the “Act”) of, among other securities, redeemable warrants (the “Warrants”) and common stock, par value $0.0001, of the Company (the “Common
Stock”) issuable upon exercise of the Warrants; 
 WHEREAS, the Company desires the Warrant Agent to act on behalf of the
Company, and the Warrant Agent is willing to so act, in connection with the issuance, registration, transfer, exchange, redemption and exercise of the Warrants; 

WHEREAS, the Company desires to provide for the form and provisions of the Warrants, the terms upon which they shall be issued and
exercised, and the respective rights, limitation of rights, and immunities of the Company, the Warrant Agent, and the holders of the Warrants; and 

WHEREAS, all acts and things have been done and performed which are necessary to make the Warrants, when executed on behalf of the
Company and countersigned by or on behalf of the Warrant Agent, as provided herein, the valid, binding and legal obligations of the Company, and to authorize the execution and delivery of this Agreement. 

NOW, THEREFORE, in consideration of the mutual agreements herein contained, the parties hereto agree as follows: 

1. Appointment of Warrant Agent. The Company hereby appoints the Warrant Agent to act as agent for the Company for the Warrants, and the Warrant Agent
hereby accepts such appointment and agrees to perform the same in accordance with the terms and conditions set forth in this Agreement. 
 2.
Warrants. 
 2.1. Form of Warrant. Each Warrant shall be (a) issued in registered form only, (b) in substantially the
form of Exhibit A hereto, the provisions of which are incorporated herein, and (c) signed by, or bear the facsimile signature of, the Chairman of the Board or the President and the Treasurer or the Secretary of the
Company. In the event the person whose facsimile signature has been placed upon any Warrant shall have ceased to serve in the capacity in which such person signed the Warrant before such Warrant is issued, it may be issued with the same effect as if
he or she had not ceased to be such at the date of issuance. 
 2.2. Effect of Countersignature. Unless and until countersigned by the
Warrant Agent pursuant to this Agreement, a Warrant shall be invalid and of no effect and may not be exercised by the holder thereof. 
 2.3.
Registration. 
 2.3.1. Warrant Register. The Warrant Agent shall maintain books (the “Warrant Register”) for
the registration of the original issuance and transfers of the Warrants. Upon the initial issuance of the Warrants, the Warrant Agent shall issue and register the Warrants in the names of the respective holders thereof in such denominations and
otherwise in accordance with instructions delivered to the Warrant Agent by the Company. 












 2.3.2. Registered Holder. Prior to due presentment for registration of transfer of
any Warrant, the Company and the Warrant Agent may deem and treat the person in whose name such Warrant shall be registered upon the Warrant Register (the “registered holder”), as the absolute owner of such Warrant and of each
Warrant represented thereby (notwithstanding any notation of ownership or other writing on the warrant certificate made by anyone other than the Company or the Warrant Agent), for the purpose of any exercise thereof, and for all other purposes, and
neither the Company nor the Warrant Agent shall be affected by any notice to the contrary. 
 3. Terms and Exercise of Warrants. 

3.1. Warrant Price. Each Warrant shall, when countersigned by the Warrant Agent, entitle the registered holder thereof, subject to the
provisions of such Warrant, as the case may be, and of this Agreement, to purchase from the Company the number of shares of Common Stock stated therein, at the price of $11.50 per whole share, subject to the adjustments provided in Section 4
hereof and in the last sentence of this Section 3.1. The term “Warrant Price” as used in this Agreement refers to the price per share at which Common Stock may be purchased at the time a Warrant is
exercised. The Company, in its sole discretion, may lower the Warrant Price at any time prior to the Expiration Date (as defined below). 

3.2. Duration of Warrants. A Warrant may be exercised only during the period (the “Exercise Period”) commencing thirty
(30) days following the consummation by the Company of a merger, capital stock exchange, asset acquisition, stock purchase, reorganization or other similar business combination, as described more fully in the Company’s Registration
Statement (a “Business Combination”), and terminating at 5:00 p.m., New York City time on the earlier to occur of (x) the five (5) year anniversary of the closing of an initial Business Combination or (y) the date
fixed for redemption of the Warrants as provided in Section 6 of this Agreement (the “Expiration Date”). Except with respect to the right to receive the Redemption Price (as set forth in
Section 6 hereunder), each Warrant not exercised on or before the Expiration Date shall become void, and all rights thereunder and all rights in respect thereof under this Agreement shall cease at the close of business on
the Expiration Date. The Company, in its sole discretion, may extend the duration of the Warrants by delaying the Expiration Date. 
 3.3.
Exercise of Warrants. 
 3.3.1. Payment. Subject to the provisions of the Warrant and this Agreement, a Warrant, when
countersigned by the Warrant Agent, may be exercised by the registered holder thereof by surrendering it, at the office of the Warrant Agent, or at the office of its successor as Warrant Agent, in the Borough of Manhattan, City and State of New
York, with the subscription form, as set forth in the Warrant, duly executed, and by paying in full the Warrant Price for each full share of Common Stock as to which the Warrant is exercised and any and all applicable taxes due in connection with
the exercise of the Warrant, as follows: 
 (a) by certified check payable to the order of the Warrant Agent, or 

(b) in the event of redemption pursuant to Section 6 hereof in which the Company’s management
has elected to force all holders of Warrants to exercise such Warrants on a “cashless basis” by surrendering the Warrants for that number of shares of Common Stock equal to the quotient obtained by dividing (x) the product of the
number of shares of Common Stock underlying the Warrants, multiplied by the difference between the applicable Warrant Price and the Fair Market Value (as defined below) by (y) the Fair 

  
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Market Value. Solely for purposes of this Section 3.3.1(b), “Fair Market Value” shall mean the average reported last sale price of the Common Stock for
the ten (10) trading days ending on the third trading day prior to the date on which the notice of redemption is sent to holders of Warrants pursuant to Section 6 hereof. 

3.3.2. Issuance of Certificates. As soon as practicable after the exercise of any Warrant and the clearance of the funds in payment of
the Warrant Price or upon surrender of the Warrant (or portion thereof) as set forth in Section 3.3.1(b), the Company shall issue to the registered holder of such Warrant a certificate or certificates representing the
number of full shares of Common Stock to which he, she or it is entitled, registered in such name or names as may be directed by him, her or it, and, if such Warrant shall not have been exercised in full, a new countersigned Warrant for the number
of shares as to which such Warrant shall not have been exercised. Notwithstanding the foregoing, the Company shall not be obligated to deliver any securities pursuant to the exercise of a Warrant unless (a) a registration statement under the
Act with respect to the Common Stock issuable upon exercise of such Warrants is effective and a current prospectus relating to the shares of Common Stock issuable upon exercise of the Warrants is available for delivery to the Warrant holders or
(b) in the opinion of counsel to the Company, the exercise of the Warrants is exempt from the registration requirements of the Act and such securities are qualified for sale or exempt from qualification under applicable securities laws of the
states or other jurisdictions in which the registered holder resides. Warrants may not be exercised by, or securities issued to, any registered holder in any state in which such exercise or issuance would be unlawful. In the event that a
registration statement under the Act with respect to the Common Stock underlying the Warrants is not effective or a current prospectus is not available, or because such exercise would be unlawful with respect to a registered holder in any state, the
registered holder shall not be entitled to exercise such Warrants and such Warrants may have no value and expire worthless. In no event will the Company be required to “net cash settle” the warrant exercise. 

3.3.3. Valid Issuance. All shares of Common Stock issued upon the proper exercise of a Warrant in conformity with this Agreement shall
be validly issued, fully paid and nonassessable. 
 3.3.4. Date of Issuance. Each person in whose name any such certificate for shares
of Common Stock is issued shall for all purposes be deemed to have become the holder of record of such shares on the date on which the Warrant was surrendered and payment of the Warrant Price was made, irrespective of the date of delivery of such
certificate, except that, if the date of such surrender and payment is a date when the stock transfer books of the Company are closed, such person shall be deemed to have become the holder of such shares at the close of business on the next
succeeding date on which the stock transfer books are open. 
 4. Adjustments. 

4.1. Stock Dividends - Split-Ups. If, after the date hereof, and subject to the provisions of
Section 4.6 below, the number of outstanding shares of Common Stock is increased by a stock dividend payable in shares of Common Stock, or by a split-up of shares of Common Stock, or
other similar event, then, on the effective date of such stock dividend, split-up or similar event, the number of shares of Common Stock issuable on exercise of each Warrant shall be increased in proportion to
such increase in outstanding shares of Common Stock. 
 4.2. Aggregation of Shares. If, after the date hereof, and subject to the
provisions of Section 4.6, the number of outstanding shares of Common Stock is decreased by a consolidation, combination, reverse stock split or reclassification of shares of Common Stock or other similar event, then, on
the effective date of such consolidation, combination, reverse stock split, reclassification or similar event, the number of shares of Common Stock issuable on exercise of each Warrant shall be decreased in proportion to such decrease in outstanding
shares of Common Stock. 

  
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 4.3. Adjustments in Exercise Price. Whenever the number of shares of Common Stock
purchasable upon the exercise of the Warrants is adjusted, as provided in Section 4.1 and Section 4.2 above, the Warrant Price shall be adjusted (to the nearest cent) by multiplying such Warrant
Price immediately prior to such adjustment by a fraction (x) the numerator of which shall be the number of shares of Common Stock purchasable upon the exercise of the Warrants immediately prior to such adjustment, and (y) the denominator
of which shall be the number of shares of Common Stock so purchasable immediately thereafter. 
 4.4. Replacement of Securities upon
Reorganization, etc. In case of any reclassification or reorganization of the outstanding shares of Common Stock (other than a change covered by Section 4.1 and Section 4.2 hereof or one that
solely affects the par value of such shares of Common Stock), or, in the case of any merger or consolidation of the Company with or into another corporation (other than a consolidation or merger in which the Company is the continuing corporation and
that does not result in any reclassification or reorganization of the outstanding shares of Common Stock), or, in the case of any sale or conveyance to another corporation or entity of the assets or other property of the Company as an entirety or
substantially as an entirety, in connection with which the Company is dissolved, the Warrant holders shall thereafter have the right to purchase and receive, upon the basis and upon the terms and conditions specified in the Warrants and in lieu of
the shares of Common Stock of the Company immediately theretofore purchasable and receivable upon the exercise of the rights represented thereby, the kind and amount of shares of stock or other securities or property (including cash) receivable upon
such reclassification, reorganization, merger or consolidation, or upon a dissolution following any such sale or transfer, that the Warrant holder would have received if such Warrant holder had exercised his, her or its Warrant(s) immediately prior
to such event; and if any reclassification also results in a change in shares of Common Stock covered by Section 4.1 or Section 4.2, then such adjustment shall be made pursuant to
Section 4.1, Section 4.2, Section 4.3 and this Section 4.4. The provisions of this Section 4.4 shall similarly apply to
successive reclassifications, reorganizations, mergers or consolidations, sales or other transfers. 
 4.5. Notices of Changes in
Warrant. Upon every adjustment of the Warrant Price or the number of shares issuable upon exercise of a Warrant, the Company shall give written notice thereof to the Warrant Agent, which notice shall state the Warrant Price resulting from such
adjustment and the increase or decrease, if any, in the number of shares purchasable at such price upon the exercise of a Warrant, setting forth in reasonable detail the method of calculation and the facts upon which such calculation is based. Upon
the occurrence of any event specified in Section 4.1, Section 4.2, Section 4.3 or Section 4.4, then, in any such event, the Company shall give
written notice to each Warrant holder, at the last address set forth for such holder in the Warrant Register, of the record date or the effective date of the event. Failure to give such notice, or any defect therein, shall not affect the legality or
validity of such event. 
 4.6. No Fractional Shares. Notwithstanding any provision contained in this Agreement to the contrary, the
Company shall not issue fractional shares upon exercise of Warrants. If, by reason of any adjustment made pursuant to this Section 4, the holder of any Warrant would be entitled, upon the exercise of such Warrant, to
receive a fractional interest in a share, the Company shall, upon such exercise, round up or down to the nearest whole number the number of shares of Common Stock to be issued to the Warrant holder. 

4.7. Form of Warrant. The form of Warrant need not be changed because of any adjustment pursuant to this
Section 4, and Warrants issued after such adjustment may state the same Warrant Price and the same number of shares as is stated in the Warrants initially issued pursuant to this Agreement. However, the Company may, at any
time, in its sole discretion, make any change in the form of Warrant that the Company may deem appropriate and that does not affect the substance thereof, and any Warrant thereafter issued or countersigned, whether in exchange or substitution for an
outstanding Warrant or otherwise, may be in the form as so changed. 

  
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 5. Transfer and Exchange of Warrants. 

5.1. Registration of Transfer. The Warrant Agent shall register the transfer, from time to time, of any outstanding Warrant in the
Warrant Register, upon surrender of such Warrant for transfer, properly endorsed with signatures properly medallion guaranteed and accompanied by appropriate instructions for transfer. Upon any such transfer, a new Warrant representing an equal
aggregate number of Warrants shall be issued and the old Warrant shall be cancelled by the Warrant Agent. The Warrants so cancelled may be delivered by the Warrant Agent to the Company from time to time upon request. 

5.2. Procedure for Surrender of Warrants. Warrants may be surrendered to the Warrant Agent, together with a written request for exchange
or transfer, and thereupon the Warrant Agent shall issue in exchange therefor one or more new Warrants as requested by the registered holder of the Warrants so surrendered, representing an equal aggregate number of Warrants; provided, however, that
in the event that a Warrant surrendered for transfer bears a restrictive legend, the Warrant Agent shall not cancel such Warrant and issue new Warrants in exchange therefor until the Warrant Agent has received an opinion of counsel for the Company
stating that such transfer is exempt from registration under the Federal Securities Act of 1933, as amended and indicating whether the new Warrants must also bear a restrictive legend. 

5.3. Fractional Warrants. The Warrant Agent shall not be required to effect any registration of transfer or exchange which will result
in the issuance of a Warrant certificate for a fraction of a Warrant. 
 5.4. Service Charges. No service charge shall be made for any
exchange or registration of transfer of Warrants. 
 5.5. Warrant Execution and Countersignature. The Warrant Agent is hereby
authorized to countersign and to deliver, in accordance with the terms of this Agreement, the Warrants required to be issued pursuant to the provisions of this Section 5, and the Company, whenever required by the Warrant
Agent, will supply the Warrant Agent with Warrants duly executed on behalf of the Company for such purpose. 
 6. Redemption. 

6.1. Redemption. Subject to Section 6.4 hereof, not less than all of the outstanding Warrants may be redeemed,
at the option of the Company, at any time after they become exercisable and prior to their expiration, at the office of the Warrant Agent, upon the notice referred to in Section 6.2, at the price of $0.01 per Warrant (the
“Redemption Price”), provided that the last sales price of the Common Stock has been at least $18.00 per share (subject to adjustment in accordance with Section 4 hereof), on each of twenty
(20) trading days within any thirty (30) trading day period ending on the third business day prior to the date on which notice of redemption is given. 

6.2. Date Fixed for, and Notice of, Redemption. In the event the Company shall elect to redeem all of the Warrants, the Company shall
fix a date for the redemption. Notice of redemption shall be mailed by first class mail, postage prepaid, by the Company not less than thirty (30) days prior to the date fixed for redemption to the registered holders of the Warrants to be
redeemed at their last addresses as they shall appear in the Warrant Register. Any notice mailed in the manner herein provided shall be conclusively presumed to have been duly given whether or not the registered holder received such notice. 

6.3. Exercise After Notice of Redemption. The Warrants may be exercised for cash in accordance with Section 3
of this Agreement at any time after notice of redemption shall have been given by the Company pursuant to Section 6.2 hereof and prior to the time and date fixed for redemption. On and after the redemption date, the record
holder of the Warrants shall have no further rights except to receive, upon surrender of the Warrants, the Redemption Price. 

  
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 6.4. Outstanding Warrants Only. The Company understands that the redemption rights
provided for by this Section 6 apply only to outstanding Warrants. To the extent a person holds rights to purchase Warrants, such purchase rights shall not be extinguished by redemption. However, once such purchase rights
are exercised, the Company may redeem the Warrants issued upon such exercise provided that the criteria for redemption are met. 
 7. Other Provisions
Relating to Rights of Holders of Warrants. 
 7.1. No Rights as Stockholder. A Warrant does not entitle the registered holder
thereof to any of the rights of a stockholder of the Company, including, without limitation, the right to receive dividends, or other distributions, exercise any preemptive rights to vote or to consent or to receive notice as stockholders in respect
of the meetings of stockholders or the election of directors of the Company or any other matter. 
 7.2. Lost, Stolen, Mutilated, or
Destroyed Warrants. If any Warrant is lost, stolen, mutilated or destroyed, the Company and the Warrant Agent may, on such terms as to indemnity or otherwise as they may in their discretion impose (which terms shall, in the case of a mutilated
Warrant, include the surrender thereof), issue a new Warrant of like denomination, tenor and date as the Warrant so lost, stolen, mutilated or destroyed. Any such new Warrant shall constitute a substitute contractual obligation of the Company,
whether or not the allegedly lost, stolen, mutilated or destroyed Warrant shall be at any time enforceable by anyone. 
 7.3. Reservation
of Common Stock. The Company shall at all times reserve and keep available a number of its authorized but unissued shares of Common Stock that will be sufficient to permit the exercise in full of all outstanding Warrants issued pursuant to this
Agreement. 
 7.4. Registration of Common Stock. The Company agrees that prior to the commencement of the Exercise Period, it shall
use its best efforts to file with the Securities and Exchange Commission a post-effective amendment to the Registration Statement, or a new registration statement, for the registration under the Act of the Common Stock issuable upon exercise of the
Warrants, and it shall take such action as is necessary to qualify for sale, in those states in which the Warrants were initially offered by the Company, the Common Stock issuable upon exercise of the Warrants. In either case, the Company will use
its best efforts to cause the same to become effective and to maintain the effectiveness of such registration statement until the expiration of the Warrants in accordance with the provisions of this Agreement. In no event will the registered holder
of a Warrant be entitled to receive a “net cash settlement” in lieu of physical settlement in shares of Common Stock, regardless of whether the Company complies with this Section 7.4. 

7.5. Limitation on Monetary Damages. In no event shall the registered holder of a Warrant be entitled to receive monetary damages for
failure to settle any Warrant exercise if the Common Stock issuable upon exercise of the Warrants has not been registered with the Securities and Exchange Commission pursuant to an effective registration statement or if a current prospectus is not
available for delivery by the Warrant Agent, provided the Company has fulfilled its obligations under Section 7.4 to use its best efforts to effect the registration under the Act of the Common Stock issuable upon exercise
of the Warrants. 

  
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 8. Concerning the Warrant Agent and Other Matters. 

8.1. Payment of Taxes. The Company will from time to time promptly pay all taxes and charges that may be imposed upon the Company or the
Warrant Agent in respect of the issuance or delivery of shares of Common Stock upon the exercise of Warrants, but the Company shall not be obligated to pay any transfer taxes in respect of the Warrants or such shares. 

8.2. Resignation, Consolidation, or Merger of Warrant Agent. 

8.2.1. Appointment of Successor Warrant Agent. The Warrant Agent, or any successor to it hereafter appointed, may resign its duties and
be discharged from all further duties and liabilities hereunder after giving sixty (60) days’ notice in writing to the Company. If the office of the Warrant Agent becomes vacant by resignation or incapacity to act or otherwise, the Company
shall appoint in writing a successor Warrant Agent in place of the Warrant Agent. If the Company shall fail to make such appointment within a period of thirty (30) days after it has been notified in writing of such resignation or incapacity by
the Warrant Agent or by the holder of the Warrant (who shall, with such notice, submit his, her or its Warrant for inspection by the Company), then the holder of any Warrant may apply to the Supreme Court of the State of New York for the County of
New York for the appointment of a successor Warrant Agent at the Company’s cost. Any successor Warrant Agent, whether appointed by the Company or by such court, shall be a corporation organized and existing under the laws of the State of New
York, in good standing and having its principal office in the Borough of Manhattan, City and State of New York, and authorized under such laws to exercise corporate trust powers and subject to supervision or examination by federal or state
authority. After appointment, any successor Warrant Agent shall be vested with all the authority, powers, rights, immunities, duties, and obligations of its predecessor Warrant Agent with like effect as if originally named as Warrant Agent
hereunder, without any further act or deed; but if for any reason it becomes necessary or appropriate, the predecessor Warrant Agent shall execute and deliver, at the expense of the Company, an instrument transferring to such successor Warrant Agent
all the authority, powers, and rights of such predecessor Warrant Agent hereunder; and upon request of any successor Warrant Agent the Company shall make, execute, acknowledge, and deliver any and all instruments in writing for more fully and
effectually vesting in and confirming to such successor Warrant Agent all such authority, powers, rights, immunities, duties, and obligations. 

8.2.2. Notice of Successor Warrant Agent. In the event a successor Warrant Agent shall be appointed, the Company shall give notice
thereof to the predecessor Warrant Agent and the transfer agent for the Common Stock not later than the effective date of any such appointment. 

8.2.3. Merger or Consolidation of Warrant Agent. Any corporation into which the Warrant Agent may be merged or with which it may be
consolidated or any corporation resulting from any merger or consolidation to which the Warrant Agent shall be a party shall be the successor Warrant Agent under this Agreement without any further act. 

8.3. Fees and Expenses of Warrant Agent. 

8.3.1. Remuneration. The Company agrees to pay the Warrant Agent reasonable remuneration for its services as such Warrant Agent
hereunder and will reimburse the Warrant Agent upon demand for all expenditures that the Warrant Agent may reasonably incur in the execution of its duties hereunder. 

8.3.2. Further Assurances. The Company agrees to perform, execute, acknowledge and deliver or cause to be performed, executed,
acknowledged and delivered all such further and other acts, instruments and assurances as may reasonably be required by the Warrant Agent for the carrying out or performing of the provisions of this Agreement. 

  
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 8.4. Liability of Warrant Agent. 

8.4.1. Reliance on Company Statement. Whenever in the performance of its duties under this Agreement the Warrant Agent shall deem it
necessary or desirable that any fact or matter be proved or established by the Company prior to taking or suffering any action hereunder, such fact or matter (unless other evidence in respect thereof be herein specifically prescribed) may be deemed
to be conclusively proved and established by a statement signed by the President or Chairman of the Board of the Company and delivered to the Warrant Agent. The Warrant Agent may rely upon such statement for any action taken or suffered in good
faith by it pursuant to the provisions of this Agreement. 
 8.4.2. Indemnity. The Warrant Agent shall be liable hereunder only for
its own gross negligence, willful misconduct or bad faith. The Company agrees to indemnify the Warrant Agent and save it harmless against any and all liabilities, including judgments, costs and reasonable counsel fees, for anything done or omitted
by the Warrant Agent in the execution of this Agreement, except as a result of the Warrant Agent’s gross negligence, willful misconduct or bad faith. 

8.4.3. Exclusions. The Warrant Agent shall have no responsibility with respect to the validity of this Agreement or with respect to the
validity or execution of any Warrant (except its countersignature thereof); nor shall it be responsible for any breach by the Company of any covenant or condition contained in this Agreement or in any Warrant; nor shall it be responsible to make any
adjustments required under the provisions of Section 4 hereof or responsible for the manner, method or amount of any such adjustment or the ascertaining of the existence of facts that would require any such adjustment; nor shall it by any act
hereunder be deemed to make any representation or warranty as to the authorization or reservation of any shares of Common Stock to be issued pursuant to this Agreement or any Warrant or as to whether any shares of Common Stock will when issued be
valid and fully paid and nonassessable. 
 8.5. Acceptance of Agency. The Warrant Agent hereby accepts the agency established by this
Agreement and agrees to perform the same upon the terms and conditions herein set forth and, among other things, shall account promptly to the Company with respect to Warrants exercised and concurrently account for, and pay to the Company, all
moneys received by the Warrant Agent for the purchase of shares of Common Stock through the exercise of Warrants. 
 9. Miscellaneous Provisions. 

9.1. Successors. All the covenants and provisions of this Agreement by or for the benefit of the Company or the Warrant Agent shall bind
and inure to the benefit of their respective successors and assigns. 

  
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 9.2. Notices. Any notice, statement or demand authorized by this Agreement to be
given or made by the Warrant Agent or by the holder of any Warrant to or on the Company shall be delivered by hand or sent by registered or certified mail or overnight courier service, addressed (until another address is filed in writing by the
Company with the Warrant Agent) as follows: 
 Adit EdTech Acquisition Corp. 

1345 Avenue of the Americas, 33rd Floor 

New York, NY 10105 
 Attn: David
L. Shrier, Chief Executive Officer 
 with a copy (which shall not constitute notice) to: 

Troutman Pepper Hamilton Sanders LLP 

875 Third Avenue 
 New York, NY
10022 
 Attn: Patrick B. Costello, Esq. 
 Any
notice, statement or demand authorized by this Agreement to be given or made by the holder of any Warrant or by the Company to or on the Warrant Agent shall be delivered by hand or sent by registered or certified mail or overnight courier service,
addressed (until another address is filed in writing by the Company with the Warrant Agent) as follows: 
 Continental Stock
Transfer & Trust Company 
 1 State Street, 30 FL 

New York, New York 10004 
 Attn:
Compliance Department 
 Any notice, sent pursuant to this Agreement shall be effective, if delivered by hand, upon receipt thereof by the party to whom it
is addressed, if sent by overnight courier, on the next business day of the delivery to the courier, and if sent by registered or certified mail on the third day after registration or certification thereof. 

9.3. Applicable Law. The validity, interpretation and performance of this Agreement and of the Warrants shall be governed in all
respects by the laws of the State of New York, without giving effect to conflicts of law principles that would result in the application of the substantive laws of another jurisdiction. The Company hereby agrees that any action, proceeding or claim
against it arising out of or relating in any way to this Agreement shall be brought and enforced in the courts of the State of New York or the United States District Court for the Southern District of New York, and irrevocably submits to such
jurisdiction. The Company hereby waives any objection that such courts represent an inconvenient forum. Any such process or summons to be served upon the Company may be served by transmitting a copy thereof by registered or certified mail, return
receipt requested, postage prepaid, addressed to it at the address set forth in Section 9.2 hereof. Such mailing shall be deemed personal service and shall be legal and binding upon the Company in any action, proceeding or claim. The foregoing
shall not apply to any claims brought under the Act or the Securities Exchange Act of 1934, as amended. 
 9.4. Persons Having Rights
under this Agreement. Nothing in this Agreement expressed and nothing that may be implied from any of the provisions hereof is intended, or shall be construed, to confer upon, or give to, any person or corporation other than the parties hereto
and the registered holders of the Warrants, any right, remedy, or claim under or by reason of this Agreement or of any covenant, condition, stipulation, promise, or agreement hereof. All covenants, conditions, stipulations, promises, and agreements
contained in this Agreement shall be for the sole and exclusive benefit of the parties hereto and their successors and assigns and of the registered holders of the Warrants. 

9.5. Examination of the Agreement. A copy of this Agreement shall be available at all reasonable times at the office of the Warrant
Agent in the Borough of Manhattan, City and State of New York, for inspection by the registered holder of any Warrant. The Warrant Agent may require any such holder to submit his, her or its Warrant for inspection by it. 

  
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 9.6. Counterparts. This Agreement may be executed in any number of original or
facsimile counterparts and each of such counterparts shall for all purposes be deemed to be an original, and all such counterparts shall together constitute but one and the same instrument. 

9.7. Effect of Headings. The section headings herein are for convenience only and are not part of this Agreement and shall not affect
the interpretation thereof. 
 9.8. Amendments. This Agreement may be amended by the parties hereto without the consent of any
registered holder for the purpose of curing any ambiguity, or curing, correcting or supplementing any defective provision contained herein or adding or changing any other provisions with respect to matters or questions arising under this Agreement
as the parties may deem necessary or desirable and that the parties deem shall not adversely affect the interest of the registered holders. All other modifications or amendments, including any amendment to increase the Warrant Price or shorten the
Exercise Period, shall require the written consent of the registered holders of a majority of the then outstanding Warrants. Notwithstanding the foregoing, the Company may lower the Warrant Price or extend the duration of the Exercise Period
pursuant to Section 3.1 and Section 3.2, respectively, without the consent of the registered holders. 

9.9. Severability. Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid
under applicable law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision shall be ineffective only to the extent of such prohibition or invalidity, without invalidating the remainder of
this Agreement. 
 [Remainder of Page Intentionally Left Blank; Signature Page Follows] 

  
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 IN WITNESS WHEREOF, this Agreement has been duly executed by the parties hereto as of the
day and year first above written. 
  

			
	ADIT EDTECH ACQUISITION CORP.
		
	By:	 	 /s/ David L. Shrier

	Name: David L. Shrier
	Title: Chief Executive Officer
	
	CONTINENTAL STOCK TRANSFER & TRUST COMPANY
		
	By:	 	 /s/ Ana Gois

	Name: Ana Gois
	Title: Vice President


 [Signature Page to Warrant Agreement] 

 












 EXHIBIT A 

FORM OF WARRANT CERTIFICATE 

[FACE] 
 Number 

Warrants 
  

 
 THIS WARRANT
WILL BE VOID IF NOT EXERCISED PRIOR TO 
 THE EXPIRATION DATE DEFINED BELOW 

ADIT EDTECH ACQUISITION CORP. 

Incorporated Under the Laws of the State of Delaware 

CUSIP 007024 110 
 EXPIRES [________]

Warrant Certificate 

This Warrant Certificate certifies that
                , or registered assigns, is the registered holder of                
warrant(s) evidenced hereby (the “Warrants” and each, a “Warrant”) to purchase shares of common stock, $0.0001 par value per share (“Common Stock”), of Adit EdTech
Acquisition Corp., a Delaware corporation (the “Company”). Each Warrant entitles the holder, upon exercise during the period set forth in the Warrant Agreement referred to below, to receive from the Company that number
of fully paid and non-assessable shares of Common Stock as set forth below, at the exercise price (the “Exercise Price”) as determined pursuant to the Warrant Agreement, payable in
lawful money (or through “cashless exercise” as provided for in the Warrant Agreement) of the United States of America upon surrender of this Warrant Certificate and payment of the Exercise Price at the office or agency of
the Warrant Agent referred to below, subject to the conditions set forth herein and in the Warrant Agreement. Defined terms used in this Warrant Certificate but not defined herein shall have the meanings given to them in the Warrant Agreement.

 Each Warrant is initially exercisable for one fully paid and non-assessable share of Common
Stock. The number of shares of Common Stock issuable upon exercise of the Warrants is subject to adjustment upon the occurrence of certain events set forth in the Warrant Agreement. 

The initial Exercise Price per share of Common Stock for any Warrant is equal to $11.50 per share. The Exercise Price is subject to adjustment
upon the occurrence of certain events set forth in the Warrant Agreement. 
 Subject to the conditions set forth in the Warrant Agreement,
the Warrants may be exercised only during the Exercise Period and to the extent not exercised by the end of such Exercise Period, such Warrants shall become void. 

Reference is hereby made to the further provisions of this Warrant Certificate set forth on the reverse hereof and such further provisions
shall for all purposes have the same effect as though fully set forth at this place. 












 This Warrant Certificate shall not be valid unless countersigned by the Warrant Agent, as
such term is used in the Warrant Agreement. 
 This Warrant Certificate shall be governed by and construed in accordance with the internal
laws of the State of New York, without regard to conflicts of laws principles thereof. 












 
			
	ADIT EDTECH ACQUISITION CORP.
		
	By:	 	          

	Name:
	Title:
	
	CONTINENTAL STOCK TRANSFER
	& TRUST COMPANY, as Warrant Agent
		
	By:	 	  

	Name:
	Title:














 [Reverse] 

The Warrants evidenced by this Warrant Certificate are part of a duly authorized issue of Warrants entitling the holder on exercise to
receive                 shares of Common Stock and are issued or to be issued pursuant to a Warrant Agreement dated as of [________] (the “Warrant
Agreement”), duly executed and delivered by the Company to Continental Stock Transfer & Trust Company, a New York corporation, as warrant agent (the “Warrant Agent”), which Warrant Agreement is hereby
incorporated by reference in and made a part of this instrument and is hereby referred to for a description of the rights, limitation of rights, obligations, duties and immunities thereunder of the Warrant Agent, the Company and the holders (the
words “holders” or “holder” meaning the Registered Holders or Registered Holder) of the Warrants. A copy of the Warrant Agreement may be obtained by the holder hereof upon written request to the
Company. Defined terms used in this Warrant Certificate but not defined herein shall have the meanings given to them in the Warrant Agreement. 

Warrants may be exercised at any time during the Exercise Period set forth in the Warrant Agreement. The holder of Warrants evidenced by
this Warrant Certificate may exercise them by surrendering this Warrant Certificate, with the form of election to purchase set forth hereon properly completed and executed, together with payment of the Exercise Price as specified in the Warrant
Agreement (or through “cashless exercise” as provided for in the Warrant Agreement) at the principal corporate trust office of the Warrant Agent. In the event that upon any exercise of Warrants evidenced hereby the number of Warrants
exercised shall be less than the total number of Warrants evidenced hereby, there shall be issued to the holder hereof or his, her or its assignee, a new Warrant Certificate evidencing the number of Warrants not exercised. 

Notwithstanding anything else in this Warrant Certificate or the Warrant Agreement, no Warrant may be exercised unless at the time of exercise
(i) a registration statement covering the shares of Common Stock to be issued upon exercise is effective under the Securities Act and (ii) a prospectus thereunder relating to the shares of Common Stock is current, except through
“cashless exercise” as provided for in the Warrant Agreement. 
 The Warrant Agreement provides that upon the occurrence of
certain events the number of shares of Common Stock issuable upon exercise of the Warrants set forth on the face hereof may, subject to certain conditions, be adjusted. If, upon exercise of a Warrant, the holder thereof would be entitled to
receive a fractional interest in a share of Common Stock, the Company shall, upon exercise, round down to the nearest whole number of shares of Common Stock to be issued to the holder of the Warrant. 

Warrant Certificates, when surrendered at the principal corporate trust office of the Warrant Agent by the Registered Holder thereof in person
or by legal representative or attorney duly authorized in writing, may be exchanged, in the manner and subject to the limitations provided in the Warrant Agreement, but without payment of any service charge, for another Warrant Certificate or
Warrant Certificates of like tenor evidencing in the aggregate a like number of Warrants. 
 Upon due presentation for registration of
transfer of this Warrant Certificate at the office of the Warrant Agent a new Warrant Certificate or Warrant Certificates of like tenor and evidencing in the aggregate a like number of Warrants shall be issued to the transferee(s) in exchange
for this Warrant Certificate, subject to the limitations provided in the Warrant Agreement, without charge except for any tax or other governmental charge imposed in connection therewith. 












 The Company and the Warrant Agent may deem and treat the Registered Holder(s) hereof as
the absolute owner(s) of this Warrant Certificate (notwithstanding any notation of ownership or other writing hereon made by anyone), for the purpose of any exercise hereof, of any distribution to the holder(s) hereof, and for all other
purposes, and neither the Company nor the Warrant Agent shall be affected by any notice to the contrary. Neither the Warrants nor this Warrant Certificate entitles any holder hereof to any rights of a stockholder of the Company. 












 Election to Purchase 

(To Be Executed Upon Exercise of Warrant) 

The undersigned hereby irrevocably elects to exercise the right, represented by this Warrant Certificate, to receive
                 shares of Common Stock and herewith tenders payment for such shares of Common Stock to the order of Adit EdTech Acquisition Corp. (the
“Company”) in the amount of $                 in accordance with the terms hereof. The undersigned requests that a certificate for such shares of
Common Stock be registered in the name of     , whose address is                  and that such shares of Common Stock be delivered to
                                  whose address is
                . If said number of shares of Common Stock is less than all of the shares of Common Stock purchasable hereunder, the undersigned requests that a new
Warrant Certificate representing the remaining balance of such shares of Common Stock be registered in the name of                 , whose address is
                           and that such Warrant Certificate be delivered to
                , whose address is                 . 

In the event that the Warrant has been called for redemption by the Company pursuant to Section 6 of the Warrant
Agreement and the Company has required cashless exercise pursuant to Section 6.3 of the Warrant Agreement, the number of shares of Common Stock that this Warrant is exercisable for shall be determined in accordance with
subsection 3.3.1(b) and Section 6.3 of the Warrant Agreement. 
 In the event that the Warrant is a
Private Placement Warrant that is to be exercised on a “cashless” basis pursuant to subsection 3.3.1(b) of the Warrant Agreement, the number of shares of Common Stock that this Warrant is exercisable for shall be determined in
accordance with subsection 3.3.1(b) of the Warrant Agreement. 
 In the event that the Warrant may be exercised, to the extent
allowed by the Warrant Agreement, through cashless exercise (i) the number of shares of Common Stock that this Warrant is exercisable for would be determined in accordance with the relevant section of the Warrant Agreement which allows for such
cashless exercise and (ii) the holder hereof shall complete the following: The undersigned hereby irrevocably elects to exercise the right, represented by this Warrant Certificate, through the cashless exercise provisions of the Warrant
Agreement, to receive shares of Common Stock. If said number of shares is less than all of the shares of Common Stock purchasable hereunder (after giving effect to the cashless exercise), the undersigned requests that a new Warrant Certificate
representing the remaining balance of such shares of Common Stock be registered in the name of                 , whose address is     
                      and that such Warrant Certificate be delivered to
                , whose address is                 . 

[Remainder of Page Intentionally Left Blank; Signature Page Follows] 













			
	Date:                     , 20	  	  

		  	(Signature)
		  	  

		  	  

		  	  

		  	(Address)
		  	  

		  	(Tax Identification Number)

 Signature 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
(OR ANY SUCCESSOR RULE)).