Loans and Allowance for Loan Losses - Summary Of Allowances For Loan Losses And Recorded Investments In Loans Individually And Collectively Evaluated For Impairment (Detail) - USD ($)	Dec. 31, 2022	Dec. 31, 2021
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	$ 1,137,816	$ 1,527,750
Loans Collectively Evaluated for Impairment	338,459,786	269,859,393
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	4,362,178	4,183,599
Consumer loans [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	0
Loans Collectively Evaluated for Impairment	1,210,164	1,373,761
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	615	1,798
Commercial and industrial loans [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	0
Loans Collectively Evaluated for Impairment	25,665,751	15,900,097
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	81,182	109,724
Unallocated [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	0
Loans Collectively Evaluated for Impairment	0
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	9,994	32,014
Real Estate [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	1,137,816	1,527,750
Loans Collectively Evaluated for Impairment	311,583,871	252,585,535
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	4,270,387	4,040,063
Real Estate [Member] \| Residential [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	1,037,428	1,517,822
Loans Collectively Evaluated for Impairment	135,344,586	96,915,302
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	1,960,955	1,468,649
Real Estate [Member] \| Home equity [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	0	0
Loans Collectively Evaluated for Impairment	12,410,820	11,510,661
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	186,733	174,579
Real Estate [Member] \| Multi-family [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	0	0
Loans Collectively Evaluated for Impairment	24,613,700	19,937,187
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	225,869	288,455
Real Estate [Member] \| Commercial [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	57,000	0
Loans Collectively Evaluated for Impairment	111,337,065	89,830,611
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	1,632,241	1,757,794
Real Estate [Member] \| Construction and development [Member]
Loans And Leases Receivable Disclosure [Line Items]
Loans Individually Evaluated for Impairment	43,388	9,928
Loans Collectively Evaluated for Impairment	27,877,700	34,391,774
Allowance For Loan Losses Individually Evaluated for Impairment	0	0
Allowance For Loan Losses Collectively Evaluated for Impairment	$ 264,589	$ 350,586

The valuation allowance for financing receivables that are expected to be uncollectible that were collectively evaluated for impairment.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 11B
-Subparagraph (g)
-URI https://asc.fasb.org/extlink&oid=123577603&loc=SL6953423-111524

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- Definition

Amount of valuation allowance for financing receivables that are expected to be uncollectible that were individually evaluated for impairment.

+ References

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- Definition

The balance of financing receivables that were collectively evaluated for impairment.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 11B
-Subparagraph (h)
-URI https://asc.fasb.org/extlink&oid=123577603&loc=SL6953423-111524

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- Definition

The balance of financing receivables that were individually evaluated for impairment.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 310
-SubTopic 10
-Section 50
-Paragraph 11B
-Subparagraph (h)
-URI https://asc.fasb.org/extlink&oid=123577603&loc=SL6953423-111524

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