Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
Smith Jeffrey C
   2. Issuer Name and Ticker or Trading Symbol
PAPA JOHNS INTERNATIONAL INC [PZZA] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
__X__ Director _____ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
777 THIRD AVENUE, 18TH FLOOR		 3. Date of Earliest Transaction (Month/Day/Year)
04/30/2019
(Street)

NEW YORK, NY 10017		 4. If Amendment, Date Original Filed(Month/Day/Year)
 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)		 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)		 4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)		 5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)		 6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)		 7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock, par value $0.01 per share 04/30/2019   A   896.226 A $ 51.14 896.226 D  
Common Stock, par value $0.01 per share               1,000 I By Starboard Value and Opportunity Master Fund Ltd (1)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)		 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)		 5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)		 6. Date Exercisable and Expiration Date
(Month/Day/Year)		 7. Title and Amount of Underlying Securities
(Instr. 3 and 4)		 8. Price of Derivative Security
(Instr. 5)		 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)		 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)		 11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Series B Preferred Stock $ 50.06             02/04/2019   (7) Common Stock, par value $0.01 per share 2,580,902   129,200 I By Starboard Value and Opportunity Master Fund Ltd (1)
Series B Preferred Stock $ 50.06             02/04/2019   (7) Common Stock, par value $0.01 per share 423,731   21,212 I By Starboard Value and Opportunity S LLC (2)
Series B Preferred Stock $ 50.06             02/04/2019   (7) Common Stock, par value $0.01 per share 239,592   11,994 I By Starboard Value and Opportunity C LP (3)
Series B Preferred Stock $ 50.06             02/04/2019   (7) Common Stock, par value $0.01 per share 225,928   11,310 I By Starboard Value and Opportunity Master Fund L LP (4)
Series B Preferred Stock $ 50.06             02/04/2019   (7) Common Stock, par value $0.01 per share 777,786   38,936 I By Starboard P Fund LP (5)
Series B Preferred Stock $ 50.06             02/04/2019   (7) Common Stock, par value $0.01 per share 746,064   37,348 I By Managed Account of Starboard Value LP (6)

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
Smith Jeffrey C
777 THIRD AVENUE, 18TH FLOOR
NEW YORK, NY 10017		   X      

Signatures

 /s/ Jeffrey C. Smith   05/02/2019
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) Securities beneficially owned by Starboard Value and Opportunity Master Fund Ltd ("Starboard V&O Fund"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP LLC ("Starboard Value GP"), the general partner of the investment manager of Starboard V&O Fund, and as a member and member of the Management Committee of Starboard Principal Co GP LLC ("Principal GP"), the general partner of the member of Starboard Value GP, may be deemed to beneficially own the securities directly held by Starboard V&O Fund for purposes of Section 16 of the Securities Exchange Act of 1934, as amended ("Section 16"). The Reporting Person expressly disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.
(2) Securities beneficially owned by Starboard Value and Opportunity S LLC ("Starboard S LLC"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of the manager of Starboard S LLC, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the securities directly held by Starboard S LLC for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.
(3) Securities beneficially owned by Starboard Value and Opportunity C LP ("Starboard C LP"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of the investment manager of Starboard C LP, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the securities directly held by Starboard C LP for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.
(4) Securities beneficially owned by Starboard Value and Opportunity Master Fund L LP ("Starboard L Master"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of the investment manager of Starboard L Master, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the securities directly held by Starboard L Master for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.
(5) Securities beneficially owned by Starboard P Fund LP ("Starboard P LP"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of the investment manager of Starboard P LP, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the securities directly held by Starboard P LP for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.
(6) Securities held in a certain account managed by Starboard Value LP (the "Starboard Value LP Account"). The Reporting Person, solely by virtue of his position as a member of the Management Committee of Starboard Value GP, the general partner of Starboard Value LP, and as a member and member of the Management Committee of Principal GP, the general partner of the member of Starboard Value GP, may be deemed to beneficially own the securities held in the Starboard Value LP Account for purposes of Section 16. The Reporting Person expressly disclaims beneficial ownership of such securities except to the extent of his pecuniary interest therein.
(7) As previously disclosed in the Reporting Person's Section 16 filings with respect to the Issuer, the Reporting Person and certain of its affiliates purchased the Series B Convertible Preferred Stock (the "Series B Preferred Stock") pursuant to the terms of the Securities Purchase Agreement, the Certificate of Designation of Series B Convertible Preferred Stock, the Governance Agreement and the Registration Rights Agreement, entered into with the Issuer. The Series B Preferred Stock has no stated maturity.

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