Loans and Allowance for Loan Losses - Schedule of Aging of the Recorded Investment in Past Due Loans and Nonaccrual Loans (Detail) - USD ($)	Jun. 30, 2022	Dec. 31, 2021
Financing Receivable, Past Due [Line Items]
Total	$ 305,617,674	$ 271,387,143
Non-accrual	569,821	414,406
Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Total	1,410,605	1,373,761
Non-accrual	0	0
Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Total	18,099,202	15,900,097
Non-accrual		0
Financial Asset, Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	1,040,651	1,475,855
Financial Asset, Past Due [Member] | Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Financial Asset, Past Due [Member] | Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	109,561	0
Financial Asset, Not Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	304,577,023	269,911,288
Financial Asset, Not Past Due [Member] | Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	1,410,605	1,373,761
Financial Asset, Not Past Due [Member] | Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	17,989,641	15,900,097
30-59 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	255,316	1,330,647
30-59 Days Past Due [Member] | Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
30-59 Days Past Due [Member] | Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	109,561	0
60-89 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	785,335	85,097
60-89 Days Past Due [Member] | Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
60-89 Days Past Due [Member] | Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
90 Days or Greater Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	60,111
90 Days or Greater Past Due [Member] | Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
90 Days or Greater Past Due [Member] | Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Total	286,107,867	254,113,285
Non-accrual	569,821	414,406
Real Estate [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Total	113,234,591	98,433,124
Non-accrual	569,821	354,295
Real Estate [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Total	11,992,237	11,510,661
Non-accrual	0	0
Real Estate [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Total	25,153,782	19,937,187
Non-accrual	0	0
Real Estate [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Total	105,226,393	89,830,611
Non-accrual	0	0
Real Estate [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Total	30,500,864	34,401,702
Non-accrual	0	60,111
Real Estate [Member] | Financial Asset, Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	931,090	1,475,855
Real Estate [Member] | Financial Asset, Past Due [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	776,589	1,405,816
Real Estate [Member] | Financial Asset, Past Due [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	42,865	0
Real Estate [Member] | Financial Asset, Past Due [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | Financial Asset, Past Due [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | Financial Asset, Past Due [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	111,636	70,039
Real Estate [Member] | Financial Asset, Not Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	285,176,777	252,637,430
Real Estate [Member] | Financial Asset, Not Past Due [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	112,458,002	97,027,308
Real Estate [Member] | Financial Asset, Not Past Due [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	11,949,372	11,510,661
Real Estate [Member] | Financial Asset, Not Past Due [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	25,153,782	19,937,187
Real Estate [Member] | Financial Asset, Not Past Due [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	105,226,393	89,830,611
Real Estate [Member] | Financial Asset, Not Past Due [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	30,389,228	34,331,663
Real Estate [Member] | 30-59 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	145,755	1,330,647
Real Estate [Member] | 30-59 Days Past Due [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	1,330,647
Real Estate [Member] | 30-59 Days Past Due [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	42,865	0
Real Estate [Member] | 30-59 Days Past Due [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 30-59 Days Past Due [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 30-59 Days Past Due [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	102,890	0
Real Estate [Member] | 60-89 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	785,335	85,097
Real Estate [Member] | 60-89 Days Past Due [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	776,589	75,169
Real Estate [Member] | 60-89 Days Past Due [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 60-89 Days Past Due [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 60-89 Days Past Due [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 60-89 Days Past Due [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	8,746	9,928
Real Estate [Member] | 90 Days or Greater Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	60,111
Real Estate [Member] | 90 Days or Greater Past Due [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 90 Days or Greater Past Due [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 90 Days or Greater Past Due [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 90 Days or Greater Past Due [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	0	0
Real Estate [Member] | 90 Days or Greater Past Due [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	$ 0	$ 60,111