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EXHIBIT 99.4

CERTIFICATION

I, Robert A. Archer, certify that:

|(1) | I have reviewed this Annual Report on Form 40-F of Great
      Panther Silver Limited for the year ended December 31, 2012.                                                                                                                                                                                                                              
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|(2) | Based on my knowledge, this report does not contain any
      untrue statement of a material fact or omit to state a material fact
      necessary to make the statements made, in light of the circumstances under
      which such statements were made, not misleading with respect to the period
      covered by this report.                       
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|(3) | Based on my knowledge, the financial statements, and
      other financial information included in this report, fairly present in all
      material respects the financial condition, results of operations and cash
      flows of the issuer as of, and for, the periods presented in this
      report.                                              
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|(4) | The issuers other certifying officer(s) and I are
      responsible for establishing and maintaining disclosure controls and
      procedures (as defined in Exchange Act Rules 13a-15 (e) and 15d-15 (e))
      and internal control over financial reporting (as defined in Exchange Act
      Rules 13a-15(f) and 15d-15(f)) for the issuer and have:
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|    | (a)                                                                                                                                                                                                                                                                                                                                                      
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|    | (b)                                                                                                                                                                                                                                                                                                                                                      
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|    | (c)                                                                                                                                                                                                                                                                                                                                                      
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|    | (d)                                                                                                                                                                                                                                                                                                                                                      

|(5) | The issuers other certifying officer(s) and I have
      disclosed, based on our most recent evaluation of the internal control
      over financial reporting, to the issuers auditors and the audit committee
      of issuers board of directors (or persons performing the equivalent
      functions):
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|    | (a)                                                                                                                                                                                                                                                                                                           
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|    | (b)                                                                                                                                                                                                                                                                                                           

Date: March 13, 2013.

|By:    |                           
|------ | --------------------------
|       | /s/ Robert A.
      Archer
|Name:  | Robert A. Archer          
|Title: | Chief Executive Officer   

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