Loans and Allowance for Loan Losses - Schedule of Loans not Meeting the Criteria are Analyzed Individually are considered to be Pass Rated Loans, Based on the Most Recent Analysis Performed, the Risk Category of Loans by Class of Loans (Detail) - USD ($)	Jun. 30, 2022	Dec. 31, 2021
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	$ 305,617,674	$ 271,387,143
Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	1,410,605	1,373,761
Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	18,099,202	15,900,097
Pass [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	292,617,157	254,288,288
Pass [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	1,410,605	1,373,761
Pass [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	18,099,202	15,900,097
Special Mention [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	8,810,684	12,760,457
Special Mention [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Special Mention [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Substandard [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	4,189,833	4,338,398
Substandard [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Substandard [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross		0
Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Doubtful [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Doubtful [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Loss [Member] | Consumer loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Loss [Member] | Commercial and industrial loans [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross		0
Real Estate [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	286,107,867	254,113,285
Real Estate [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	113,234,591	98,433,124
Real Estate [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	11,992,237	11,510,661
Real Estate [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	25,153,782	19,937,187
Real Estate [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	105,226,393	89,830,611
Real Estate [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	30,500,864	34,401,702
Real Estate [Member] | Pass [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	273,107,350	237,014,430
Real Estate [Member] | Pass [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	111,489,530	95,421,741
Real Estate [Member] | Pass [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	11,992,237	11,510,661
Real Estate [Member] | Pass [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	25,153,782	19,937,187
Real Estate [Member] | Pass [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	96,703,572	78,797,687
Real Estate [Member] | Pass [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	27,768,229	31,347,154
Real Estate [Member] | Special Mention [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	8,810,684	12,760,457
Real Estate [Member] | Special Mention [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	465,553	1,764,789
Real Estate [Member] | Special Mention [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Special Mention [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Special Mention [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	5,682,211	8,075,262
Real Estate [Member] | Special Mention [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	2,662,920	2,920,406
Real Estate [Member] | Substandard [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	4,189,833	4,338,398
Real Estate [Member] | Substandard [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	1,279,508	1,246,594
Real Estate [Member] | Substandard [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Substandard [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Substandard [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	2,840,610	2,957,662
Real Estate [Member] | Substandard [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	69,715	134,142
Real Estate [Member] | Doubtful [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Doubtful [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Residential [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Home equity [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Multi-family [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Commercial [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	0	0
Real Estate [Member] | Loss [Member] | Construction and land development [Member]
Financing Receivable, Credit Quality Indicator [Line Items]
Loans and Leases Receivable, Gross	$ 0	$ 0