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Stockholders' Equity (Details 2) (Employee, USD $)
3 Months Ended
Mar. 31, 2015
Dec. 31, 2013
Employee
   
Number of Shares    
Outstanding at beginning of year 55,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Non-employee options granted     
Outstanding at end of year 55,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Options vested and expected to vest 55,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Options vested and exercisable 55,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableNumber
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Weighted Average Exercise Price    
Outstanding at beginning of year   $ 5.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
Non-employee options granted     
Outstanding at end of year $ 5.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
$ 5.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
Options vested and expected to vest $ 5.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Options vested and exercisable $ 5.16us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestExercisableWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= spex_EmployeeMember
 
Aggregate Intrinsic Value    
Outstanding at end of year     
Weighted Average Remaining Contractual Life    
Weighted average remaining contractual life Outstanding, Beginning Balance 6 years 4 months 24 days  
Non-employee options granted     
Weighted average remaining contractual life Outstanding, Ending Balance 6 years 2 months 12 days  
Options vested and expected to vest 6 years 2 months 12 days  
Options vested and exercisable 6 years 2 months 12 days