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Loans - Activity in the allowance for loan losses by portfolio segment (Details) - USD ($)
3 Months Ended
Dec. 31, 2022
Sep. 30, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2022
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year $ 2,058,869 $ 2,195,050 $ 2,187,306 $ 2,186,182  
Charge-offs   (136,753)      
Recoveries 602 572 1,337 1,124  
Balance at end of year 2,059,471 2,058,869 2,188,643 2,187,306  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 2,059,471   2,188,643   $ 2,195,050
Loans and Leases Receivable, Allowance 2,059,471 2,058,869 2,188,643 2,187,306 2,195,050
Loans - Individually evaluated for impairment 179,173   516,533   193,385
Loans - Collectively evaluated for impairment 194,578,729   158,066,006   187,707,089
Loans and Leases Receivable, Gross 194,757,902   158,582,539   187,900,474
Commercial real estate [Member] | Commercial real estate          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 1,564,021 1,591,644 1,223,850 1,036,301  
Charge-offs   (136,753)      
Provisions (279,012) 109,130 64,577 187,549  
Balance at end of year 1,285,009 1,564,021 1,288,427 1,223,850  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 1,285,009   1,288,427   1,591,644
Loans and Leases Receivable, Allowance 1,285,009 1,564,021 1,288,427 1,223,850 1,591,644
Loans - Individually evaluated for impairment     217,449    
Loans - Collectively evaluated for impairment 85,612,836   62,815,351   80,603,153
Loans and Leases Receivable, Gross 85,612,836   63,032,800   80,603,153
Commercial [Member]          
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Loans and Leases Receivable, Gross 100,856,113       99,964,364
Commercial [Member] | Commercial real estate          
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Loans and Leases Receivable, Gross 85,612,836       80,603,153
Commercial [Member] | Commercial and industrial          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 27,398 32,701 68,497 157,533  
Provisions (6,060) (5,303) (19,488) (89,036)  
Balance at end of year 21,338 27,398 49,009 68,497  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 21,338   49,009   32,701
Loans and Leases Receivable, Allowance 21,338 27,398 49,009 68,497 32,701
Loans - Collectively evaluated for impairment 7,830,296   8,901,181   8,778,723
Loans and Leases Receivable, Gross 7,830,296   8,901,181   8,778,723
Commercial [Member] | Construction          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 24,791 55,029 50,646 59,649  
Provisions (7,185) (30,238) (2,866) (9,003)  
Balance at end of year 17,606 24,791 47,780 50,646  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 17,606   47,780   55,029
Loans and Leases Receivable, Allowance 17,606 24,791 47,780 50,646 55,029
Loans - Collectively evaluated for impairment 7,412,981   8,098,343   10,582,488
Loans and Leases Receivable, Gross 7,412,981   8,098,343   10,582,488
Residential [Member] | One-to-four-family residential          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 222,284 263,951 356,257 409,395  
Provisions (13,998) (41,667) (14,346) (53,138)  
Balance at end of year 208,286 222,284 341,911 356,257  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 208,286   341,911   263,951
Loans and Leases Receivable, Allowance 208,286 222,284 341,911 356,257 263,951
Loans - Individually evaluated for impairment 179,173   299,084   193,385
Loans - Collectively evaluated for impairment 56,525,772   51,381,035   51,697,563
Loans and Leases Receivable, Gross 56,704,945   51,680,119   51,890,948
Residential [Member] | Multi-family real estate          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 216,133 233,371 86,482 134,216  
Provisions (20,376) (17,238) 34,871 (47,734)  
Balance at end of year 195,757 216,133 121,353 86,482  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 195,757   121,353   233,371
Loans and Leases Receivable, Allowance 195,757 216,133 121,353 86,482 233,371
Loans - Collectively evaluated for impairment 35,113,319   24,615,280   33,944,903
Loans and Leases Receivable, Gross 35,113,319   24,615,280   33,944,903
Consumer Loans [Member] | Consumer          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 620 601 5,918 4,896  
Recoveries 602 572 1,337 1,124  
Provisions (619) (553) (1,723) (102)  
Balance at end of year 603 620 5,532 5,918  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 603   5,532   601
Loans and Leases Receivable, Allowance 603 620 5,532 5,918 601
Loans - Collectively evaluated for impairment 2,083,525   2,254,816   2,100,259
Loans and Leases Receivable, Gross 2,083,525   2,254,816   2,100,259
Unallocated          
Allowance for Loan and Lease Losses [Roll Forward]          
Balance at beginning of year 3,622 17,753 395,656 384,192  
Provisions 327,250 (14,131) (61,025) 11,464  
Balance at end of year 330,872 3,622 334,631 395,656  
Financing Receivable, Allowance for Credit Loss, Additional Information [Abstract]          
Collectively evaluated for impairment 330,872   334,631   17,753
Loans and Leases Receivable, Allowance $ 330,872 $ 3,622 $ 334,631 $ 395,656 $ 17,753