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Summary of Significant Accounting Policies - Net Loss Per Common Share (Details) - shares
12 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities 6,636,773 532,104
Warrants to Purchase Common Stock    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities 6,538,052 434,328
Employee Stock Options    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities 52,762 3,899
Employee Unvested Restricted Stock    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities 40,996 85,377
Employee Unvested Restricted Stock Units    
Antidilutive Securities Excluded from Computation of Earnings Per Share [Line Items]    
Antidilutive securities 4,963 8,500