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Stock-Based Compensation and Warrants - Additional Information (Detail) (USD $)
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Jan. 31, 2014
Stock Based Compensation Plans [Line Items]      
Share-based Compensation Arrangement by Share-based Payment Award, Options, Exercises in Period, Intrinsic Value $ 4,400,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue    
Stock-based compensation expense 91,286us-gaap_AllocatedShareBasedCompensationExpense 86,278us-gaap_AllocatedShareBasedCompensationExpense  
Class of Warrant or Right, Exercise Price of Warrants or Rights     $ 4.74us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
Warrants      
Stock Based Compensation Plans [Line Items]      
Class of Warrant or Right, Outstanding 10,000us-gaap_ClassOfWarrantOrRightOutstanding
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_WarrantMember
   
Class of Warrant or Right, Exercise Price of Warrants or Rights $ 0.90us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_WarrantMember
   
Research and Development Expense      
Stock Based Compensation Plans [Line Items]      
Stock-based compensation expense 28,784us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
6,623us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_IncomeStatementLocationAxis
= us-gaap_ResearchAndDevelopmentExpenseMember
 
Director Service Stock Option      
Stock Based Compensation Plans [Line Items]      
Stock-based compensation expense $ 62,502us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= bpth_DirectorServiceStockOptionMember
$ 79,655us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_PlanNameAxis
= bpth_DirectorServiceStockOptionMember