Loans and Allowance for Loan Losses - Schedule of Aging of the Recorded Investment in Past Due Loans and Nonaccrual Loans (Detail) - USD ($)	Mar. 31, 2022	Dec. 31, 2021
Financing Receivable, Past Due [Line Items]
Total	$ 273,600,012	$ 271,387,143
Non-accrual	305,187	414,406
Consumer Loans [Member]
Financing Receivable, Past Due [Line Items]
Total	1,314,367	1,373,761
Non-accrual	0	0
Commercial And Industrial Loans [Member]
Financing Receivable, Past Due [Line Items]
Total	13,490,067	15,900,097
Non-accrual		0
Financial Asset, Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	1,193,418	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	0	0
Financial Asset, Not Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	272,406,594	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	1,314,367	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	13,490,067	15,900,097
30-59 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	1,133,844	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	0	0
60-89 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	59,574	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	258,795,578	254,113,285
Non-accrual	305,187	414,406
Real Estate [Member] | Residential Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Total	102,034,477	98,433,124
Non-accrual	245,613	354,295
Real Estate [Member] | Home Equity Loan [Member]
Financing Receivable, Past Due [Line Items]
Total	11,467,709	11,510,661
Non-accrual	0	0
Real Estate [Member] | Multifamily [Member]
Financing Receivable, Past Due [Line Items]
Total	19,950,041	19,937,187
Non-accrual	0	0
Real Estate [Member] | Commercial Real Estate [Member]
Financing Receivable, Past Due [Line Items]
Total	95,384,937	89,830,611
Non-accrual	0	0
Real Estate [Member] | Construction And Land Development [Member]
Financing Receivable, Past Due [Line Items]
Total	29,958,414	34,401,702
Non-accrual	59,574	60,111
Real Estate [Member] | Financial Asset, Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	1,193,418	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	1,087,573	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	37,120	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	68,725	70,039
Real Estate [Member] | Financial Asset, Not Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	257,602,160	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	100,946,904	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	11,430,589	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	19,950,041	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	95,384,937	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	29,889,689	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	1,133,844	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	1,087,573	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	37,120	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	9,151	0
Real Estate [Member] | 60-89 Days Past Due [Member]
Financing Receivable, Past Due [Line Items]
Financing Receivable, before Allowance for Credit Loss	59,574	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	0	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	59,574	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