Unit Purchase Agreement, dated September 23, 2021, by and between the Company and the Sponsor

Exhibit 10.5

UNIT PURCHASE AGREEMENT

This UNIT PURCHASE AGREEMENT (this “Agreement”) is made as of the 23rd day of September, 2021, by and among GigCapital5, Inc., a Delaware corporation (the “Company”), and GigAcquisitions5, LLC (“Subscriber”).

WHEREAS, the Company desires to sell to Subscriber on a private placement basis (the “Sale”) an aggregate of 750,000 private units (the “Initial Private Units”) of the Company, and up to an additional 45,000 private units (the “Additional Private Units,” and, together with the Initial Private Units, the “Private Units”) of the Company in the event that the underwriters’ 45-day over-allotment option (“Over-Allotment Option”) is exercised in full or in part, for a purchase price of $10.00 per Private Unit, each Private Unit comprised of one share of common stock of the Company, par value $0.0001 per share (“Common Stock”), and one warrant, each whole warrant exercisable to purchase one share of Common Stock (“Warrant”). The shares of Common Stock underlying the Warrants are hereinafter referred to as the “Warrant Shares.” The shares of Common Stock underlying the Private Units (excluding the Warrant Shares) are hereinafter referred to as the “Private Shares.” The Warrants underlying the Private Units are hereinafter referred to as the “Private Warrants.” The Private Units, Private Shares, Private Warrants and Warrant Shares, collectively, are hereinafter referred to as the “Securities.” Each whole Private Warrant is exercisable to purchase one share of Common Stock at an exercise price of $11.50, subject to the adjustments as set forth in the Warrant Agreement (as defined below), during the period commencing on the later of (i) twelve (12) months from the date of the closing of the Company’s initial public offering of units (the “IPO”) and (ii) 30 days following the consummation of the Company’s initial business combination (the “Business Combination”), as such term is defined in the registration statement in connection with the IPO, as amended at the time it becomes effective (the “Registration Statement”), filed with the Securities and Exchange Commission (“SEC”), and expiring on the fifth anniversary of the consummation of the Business Combination (provided that so long as the Private Warrants are held by Subscriber, its designees or affiliates, Subscriber, its designees or affiliates will not be permitted to exercise such Private Warrants after the five year anniversary of the effective date of the Registration Statement); and

WHEREAS, Subscriber wishes to purchase the Initial Private Units and up to the amount of Additional Private Units, at the Initial Purchase Price (as defined below), and the Company wishes to accept such subscription from Subscriber.

NOW, THEREFORE, in consideration of the premises and the mutual covenants hereinafter set forth and other good and valuable consideration, the receipt and sufficiency of which are hereby acknowledged, the Company and Subscriber hereby agree as follows:

1. Agreement to Subscribe.

1.1. Purchase and Issuance of the Private Units.

1.2. Purchase Price.

1.3. Closing. The closing of the purchase and sale of the Initial Private Units shall take place simultaneously with the closing of the IPO and the closing of the purchase and sale of Additional Private Units shall take place simultaneously with any closing of the Over-Allotment Option (each, a “Closing Date”). Each of the closings of the purchase and sale of the Private Units shall take place at the offices of DLA Piper LLP (US), 555 Mission Street, Suite 2400, San Francisco, California 94105, or such other place as may be agreed upon by the parties hereto.

1.4. Conditions to Closing. The obligation of Subscriber to purchase and pay for the Private Units as provided herein shall be contingent upon, and concurrent with, the consummation of the IPO.

1.5. Termination. This Agreement and each of the obligations of the undersigned shall be null and void and without effect if a Closing does not occur prior to December 31, 2021 or if that certain Underwriting Agreement, dated as of the date hereof, by and among the Company and Wells Fargo Securities, LLC and William Blair & Company, L.L.C., as representatives of the underwriters named therein (the “Underwriting Agreement”), is terminated for any reason.

2. Representations and Warranties of the Subscriber.

Subscriber represents and warrants to the Company that:

2.1. No Government Recommendation or Approval. Subscriber understands that no federal or state agency has passed upon or made any recommendation or endorsement of the Company or the Sale of the Securities.

2.2. Accredited Investor. Subscriber represents that it is an “accredited investor” as such term is defined in Rule 501(a) of Regulation D under the Securities Act of 1933, as amended (the “Securities Act”), and acknowledges that the sale contemplated hereby is being made in reliance, among other things, on a private placement exemption to “accredited investors” under the Securities Act and similar exemptions under state law.

2.3. Intent. Subscriber is purchasing the Securities solely for investment purposes, for Subscriber’s own account (and/or for the account or benefit of its members or affiliates, as permitted, pursuant to the terms hereof), and not with a view to the distribution thereof and Subscriber has no present arrangement to sell the Securities to or through any person or entity except as may be permitted hereunder. Subscriber shall not engage in hedging transactions with regard to the Securities unless in compliance with the Securities Act of 1933, as amended (the “Securities Act”).

2.4. Restrictions on Transfer. Subscriber acknowledges and understands the Private Units are being offered in a transaction not involving a public offering in the United States within the meaning of the Securities Act.

The Securities have not been registered under the Securities Act and, if in the future Subscriber decides to offer, resell, pledge or otherwise transfer the Securities, such Securities may be offered, resold, pledged or otherwise transferred only (i) pursuant to an effective registration statement filed under the Securities Act, (ii) pursuant to an exemption from registration under Rule 144 promulgated under the Securities Act, if available, or (iii) pursuant to any other available exemption from the registration requirements of the Securities Act, and in each case in accordance with any applicable securities laws of any state or any other jurisdiction. Notwithstanding the foregoing, Subscriber acknowledges and understands the Securities are subject to transfer restrictions as described in Section 8

hereof. Subscriber agrees that if any transfer of its Securities or any interest therein is proposed to be made, as a condition precedent to any such transfer, Subscriber may be required to deliver to the Company an opinion of counsel satisfactory to the Company with respect to such transfer. Absent registration or another available exemption from registration, Subscriber agrees it will not resell the Securities (unless otherwise permitted pursuant to the terms hereof). Subscriber further acknowledges that because the Company is a shell company, Rule 144 may not be available to Subscriber for the resale of the Securities until the one-year anniversary following consummation of the Business Combination of the Company, despite technical compliance with the requirements of Rule 144 and the release or waiver of any contractual transfer restrictions.

2.5. Sophisticated Investor.

2.6. Organization and Authority. Subscriber is duly organized, validly existing and in good standing under the laws of its state of incorporation or formation and it possesses all requisite power and authority necessary to carry out the transactions contemplated by this Agreement.

2.7. Authority. This Agreement has been validly authorized, executed and delivered by Subscriber and is a valid and binding agreement enforceable in accordance with its terms, subject to the general principles of equity and to bankruptcy or other laws affecting the enforcement of creditors’ rights generally.

2.8. No Conflicts. The execution, delivery and performance of this Agreement and the consummation by Subscriber of the transactions contemplated hereby do not violate, conflict with or constitute a default under (i) Subscriber’s charter documents, (ii) any agreement or instrument to which Subscriber is a party or (iii) any law, statute, rule or regulation to which Subscriber is subject, or any agreement, order, judgment or decree to which Subscriber is subject.

2.9. No Legal Advice from Company. Subscriber acknowledges it has had the opportunity to review this Agreement and the transactions contemplated by this Agreement and the other agreements entered into between the parties hereto with Subscriber’s own legal counsel and investment and tax advisors. Except for any statements or representations of the Company made in this Agreement and the other agreements entered into between the parties hereto, Subscriber is relying solely on such counsel and advisors and not on any statements or representations of the Company or any of its representatives or agents for legal, tax or investment advice with respect to this investment, the transactions contemplated by this Agreement or the securities laws of any jurisdiction.

2.10. Reliance on Representations and Warranties. Subscriber understands the Private Units are being offered and sold to Subscriber in reliance on exemptions from the registration requirements under the Securities Act, and analogous provisions in the laws and regulations of various states, and that the Company is relying upon the truth and accuracy of the representations, warranties, agreements, acknowledgments and understandings of Subscriber set forth in this Agreement in order to determine the applicability of such provisions.

2.11. No General Solicitation. Subscriber is not subscribing for the Private Units as a result of or subsequent to any general solicitation or general advertising, including but not limited to any advertisement, article, notice or other communication published in any newspaper, magazine, or similar media or broadcast over television or radio, or presented at any seminar or meeting or in the Registration Statement.

2.12. Legend. Subscriber acknowledges and agrees the book-entries evidencing each of the Securities shall bear a restrictive legend (the “Legend”), in form and substance substantially as set forth in Section 4 hereof.

3. Representations, Warranties and Covenants of the Company.

The Company represents and warrants to, and agrees with, Subscriber that:

3.1. Valid Issuance of Capital Stock. The total number of shares of all classes of capital stock which the Company has authority to issue is 100,000,000 shares of Common Stock and 1,000,000 shares of preferred stock, $0.0001 par value per share (“Preferred Stock”). As of the date hereof, the Company has issued and outstanding 10,047,500 shares of Common Stock of which 4,312,500 shares of Common Stock will be surrendered by the Subscriber to the Company for no consideration at the time of the IPO, so that the Subscriber will hold 5,735,000 shares of Common Stock (of which up to 750,000 shares are subject to forfeiture as described in the Registration Statement) and no shares of Preferred Stock. All of the issued shares of capital stock of the Company have been duly authorized, validly issued, and are fully paid and non-assessable.

3.2. Title to Securities. Upon issuance in accordance with, and payment pursuant to, the terms hereof and that certain warrant agreement (the “Warrant Agreement”) to be entered into between the Company and Continental, as warrant agent, as the case may be, each of the Private Units, Private Shares, Private Warrants and Warrant Shares will be duly and validly issued, fully paid and non-assessable. On the date of issuance of the Private Units and Warrant Shares shall have been reserved for issuance. Upon issuance in accordance with, and payment pursuant to, the terms hereof and the Warrant Agreement, as the case may be, Subscriber will have or receive good title to the Private Units, Private Shares and Private Warrants purchased by such Subscriber under this Agreement, free and clear of all liens, claims and encumbrances of any kind, other than (i) transfer restrictions hereunder and (ii) transfer restrictions under federal and state securities laws.

3.3. Organization and Qualification. The Company is a corporation duly incorporated, validly existing and in good standing under the laws of the State of Delaware and has the requisite corporate power to own its properties and assets and to carry on its business as now being conducted.

3.4. Authorization; Enforcement. (i) The Company has the requisite corporate power and authority to enter into and perform its obligations under this Agreement and to issue the Securities in accordance with the terms hereof, (ii) the execution, delivery and performance of this Agreement by the Company and the consummation by it of the transactions contemplated hereby have been duly authorized by all necessary corporate action, and no further consent or authorization of the Company or its Board of Directors or stockholders is required, and (iii) this Agreement constitutes valid and binding obligations of the Company enforceable against the Company in accordance with its terms, except as such enforceability may be limited by applicable bankruptcy, insolvency, fraudulent conveyance, moratorium, reorganization, or similar laws relating to, or affecting generally the enforcement of, creditors’ rights and remedies or by equitable principles of general application and except as enforcement of rights to indemnity and contribution may be limited by federal and state securities laws or principles of public policy.

3.5. No Conflicts. The execution, delivery and performance of this Agreement and the consummation by the Company of the transactions contemplated hereby do not (i) result in a violation of the Company’s certificate of incorporation or by-laws, (ii) conflict with, or constitute a default under any agreement or instrument to which the Company is a party or (iii) any law statute, rule or regulation to which the Company is subject or any agreement, order, judgment or decree to which the Company is subject. Other than any SEC or state securities filings which may be required to be made by the Company subsequent to the Closing, and any registration statement which may be filed pursuant thereto, the Company is not required under federal, state or local law, rule or regulation to obtain any consent, authorization or order of, or make any filing or registration with, any court or governmental agency or self-regulatory entity in order for it to perform any of its obligations under this Agreement or issue the Private Units, Private Shares, Private Warrants or Warrant Shares in accordance with the terms hereof.

3.6. Additional Representations and Warranties. The representations and warranties of the Company set forth in the Underwriting Agreement are hereby incorporated herein and are true and correct with the same force and effect as though expressly made herein as of the date hereof.

4. Legends.

4.1. Legend. The Company will issue the Private Units, Private Shares and Private Warrants, and when issued, the Warrant Shares, purchased by Subscriber in the name of such Subscriber. The Securities will bear the following Legend and appropriate “stop transfer” instructions:

“THE SECURITIES REPRESENTED HEREBY HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE “SECURITIES ACT”), OR ANY STATE SECURITIES

LAWS AND NEITHER THE SECURITIES NOR ANY INTEREST THEREIN MAY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED OF EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OR SUCH LAWS OR AN EXEMPTION FROM REGISTRATION UNDER THE SECURITIES ACT AND SUCH LAWS WHICH, IN THE OPINION OF COUNSEL FOR THIS CORPORATION, IS AVAILABLE.”

“THE SECURITIES REPRESENTED BY THIS CERTIFICATE ARE SUBJECT TO LOCKUP PURSUANT TO A UNIT PURCHASE AGREEMENT BETWEEN GIGCAPITAL5, INC. AND THE SUBSCRIBERS NAMED THEREIN AND MAY ONLY BE OFFERED, SOLD, TRANSFERRED, PLEDGED OR OTHERWISE DISPOSED DURING THE TERM OF THE LOCKUP PURSUANT TO THE TERMS SET FORTH IN THE UNIT PURCHASE AGREEMENT.”

4.2. Subscriber’s Compliance. Nothing in this Section 4 shall affect in any way Subscriber’s obligations and agreements to comply with all applicable securities laws upon resale of the Securities.

4.3. Company’s Refusal to Register Transfer of the Securities. The Company shall refuse to register any transfer of the Securities, if in the sole judgment of the Company such purported transfer would not be made (i) pursuant to an effective registration statement filed under the Securities Act, or pursuant to an available exemption from the registration requirements of the Securities Act and (ii) in compliance herewith.

4.4. Registration Rights. Subscriber will be entitled to certain registration rights which will be governed by a registration rights agreement (“Registration Rights Agreement”) to be entered into among Subscriber, the Company and others, on or prior to the effective date of the Registration Statement.

5. Waiver of Liquidation Distributions.

In connection with the Securities purchased pursuant to this Agreement, Subscriber hereby waives any and all right, title, interest or claim of any kind in or to any distributions of the amounts in the Trust Account with respect to the Securities, whether (i) in connection with the exercise of redemption rights if the Company consummates the Business Combination, (ii) in connection with any tender offer conducted by the Company prior to a Business Combination, (iii) upon the Company’s redemption of shares of Common Stock sold in the Company’s IPO upon the Company’s failure to timely complete the Business Combination or (iv) in connection with a stockholder vote to approve an amendment to the Company’s amended and restated certificate of incorporation, (A) to modify the substance or timing of the Company’s obligation to redeem 100% of the Company’s public shares if the Company does not timely complete the Business Combination or (B) with respect to any other provision relating to stockholders’ rights or pre-Business Combination activity. In the event any Subscriber purchases shares of Common Stock in the IPO or in the aftermarket, any additional shares so purchased shall be eligible to receive the redemption value of such shares of Common Stock upon the same terms offered to all other purchasers of Common Stock in the IPO in the event the Company fails to consummate the Business Combination.

6. Terms of Private Warrants. Each Private Warrant shall have the terms set forth in the Warrant Agreement.

7. Lock-Up Period.

Subscriber acknowledges that the Securities purchased by it pursuant to this Agreement will be subject to restrictions on transfer contained in that certain letter agreement (the “Insider Letter”), dated as of the date hereof, by and among the Company, Subscriber and each of the underwriters named in the Underwriting Agreement, which Insider Letter shall be substantially in the form filed as an exhibit to the Registration Statement.

8. Terms of the Private Units and Private Warrants.

8.1. The Private Units and their component parts are substantially identical to the units to be offered in the IPO except that: (i) the Private Units and component parts are subject to the transfer restrictions described in Section 7 hereof, (ii) the Private Warrants will be non-redeemable and may be exercisable on a “cashless” basis if held by a Subscriber or its permitted transferees, as further described in the Warrant Agreement, (iii) the Private Warrants may not be exercised after the five year anniversary of the effective date of the Registration Statement if held by a Subscriber, its designees or affiliates and (iv) the Private Units and component parts are being purchased pursuant to an exemption from the registration requirements of the Securities Act and will become freely tradable only after the expiration of the lockup described above in clause (i) and they are registered pursuant to the Registration Rights Agreement or an exemption from registration is available, and the restrictions described above in clause (i) has expired.

8.2. Subscriber agrees that if the Company seeks stockholder approval of a Business Combination, then in connection with such Business Combination, Subscriber shall (i) vote the Private Shares owned by it in favor of the Business Combination and (ii) not redeem any Private Shares owned by Subscriber in connection with such stockholder approval.

9. Governing Law; Jurisdiction; Waiver of Jury Trial.

This Agreement shall be governed by and construed in accordance with the laws of the State of New York for agreements made and to be wholly performed within such state. The parties hereto hereby waive any right to a jury trial in connection with any litigation pursuant to this Agreement and the transactions contemplated hereby.

10. Assignment; Entire Agreement; Amendment.

10.1. Assignment. Neither this Agreement nor any rights hereunder may be assigned by any party to any other person other than by Subscriber to a person agreeing to be bound by the terms hereof and the transfer restrictions applicable to Subscriber set forth in the Insider Letter.

10.2. Entire Agreement. This Agreement sets forth the entire agreement and understanding between the parties as to the subject matter thereof and merges and supersedes all prior discussions, agreements and understandings of any and every nature among them.

10.3. Amendment. Except as expressly provided in this Agreement, neither this Agreement nor any term hereof may be amended, waived, discharged or terminated other than by a written instrument signed by all of the parties hereto.

10.4. Binding upon Successors. This Agreement shall be binding upon and inure to the benefit of the parties hereto and to their respective heirs, legal representatives, successors and permitted assigns.

11. Notices.

11.1. Notices. Unless otherwise provided herein, any notice or other communication to a party hereunder shall be sufficiently given if in writing and personally delivered or sent by facsimile or other electronic transmission with copy sent in another manner herein provided or sent by courier (which for all purposes of this Agreement shall include Federal Express or other recognized overnight courier) or mailed to said party by certified mail, return receipt requested, at its address provided for herein or such other address as either may designate for itself in such notice to the other. Communications shall be deemed to have been received when delivered personally, on the scheduled arrival date when sent by next day or 2nd-day courier service, or if sent by facsimile upon receipt of confirmation of transmittal or, if sent by mail, then three days after deposit in the mail. If given by electronic transmission, such notice shall be deemed to be delivered (i) if by electronic mail, when directed to an electronic mail address at which the stockholder has consented to receive notice; (ii) if by a posting on an electronic network together with separate notice to the stockholder of such specific posting, upon the later of (1) such posting and (2) the giving of such separate notice; and (iii) if by any other form of electronic transmission, when directed to the stockholder.

12. Counterparts; Electronic Signatures.

This Agreement may be executed in counterparts, each of which when so executed shall be deemed to be an original and all of which when taken together shall constitute one and the same instrument. The words “execution,” signed,” “signature,” and words of like import in this Agreement or in any other certificate, agreement or document related to this Agreement shall include images of manually executed signatures transmitted by facsimile or other electronic format (including, without limitation, “pdf”, “tif” or “jpg”) and other electronic signatures (including, without limitation, DocuSign and AdobeSign). The use of electronic signatures and electronic records (including, without limitation, any contract or other record created, generated, sent, communicated, received, or stored by electronic means) shall be of the same legal effect, validity and enforceability as a manually executed signature or use of a paper-based record-keeping system to the fullest extent permitted by applicable law, including the Federal Electronic Signatures in Global and National Commerce Act, the New York State Electronic Signatures and Records Act and any other applicable law, including, without limitation, any state law based on the Uniform Electronic Transactions Act or the Uniform Commercial Code.

13. Survival; Severability.

13.1. Survival. The representations, warranties, covenants and agreements of the parties hereto shall survive each Closing Date.

13.2. Severability. In the event that any provision of this Agreement becomes or is declared by a court of competent jurisdiction to be illegal, unenforceable or void, this Agreement shall continue in full force and effect without said provision; provided that no such severability shall be effective if it materially changes the economic benefit of this Agreement to any party.

14. Headings.

The titles and subtitles used in this Agreement are used for convenience only and are not to be considered in construing or interpreting this Agreement.

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IN WITNESS WHEREOF, the parties hereto have executed this Agreement to be effective as of the date first set forth above.

[Signature Page to Unit Purchase Agreement]