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Unaudited Condensed Consolidated Statements of Cash Flows - USD ($)
 6 Months Ended
Jun. 30, 2025
Jun. 30, 2024
Cash flows from operating activities:    
Net loss $ (15,445,859) $ (24,232,207)
Adjustments to reconcile net loss to net cash provided by operating activities:    
Deferred tax expense 3,031,244 (3,071,805)
Depreciation and amortization 1,506,006 1,790,686
Provision for contingent liabilities (225,412)
Provision for expected credit losses 258,665
Share-based compensation 35,038,447 20,610,934
Unrealized foreign exchange loss (1,542,302) (154,018)
Write-off of deferred equity offering costs 7,603,867
Net effect of changes in assets and liabilities:    
Net receivables from brokers, dealers and clearing organizations (43,721,591) (57,279,747)
Net customer receivables and customer payables 311,899,108 199,543,371
Customer-held fractional shares (19,204,083) (28,083,311)
Prepaid expenses and other current assets (1,593,216) 5,451,174
Operating lease right-of-use assets 2,101,723 (56,144,310)
Accounts payable and other accrued expenses (5,446,577) 1,292,018
Operating lease liabilities-current (1,603,447) 1,572,952
Operating lease liabilities-non-current (820,132) 1,562,350
Net cash provided by operating activities 272,061,853 62,632,675
Cash flows from investing activities:    
Purchase of property and equipment and intangible assets (402,315) (971,028)
Investment in limited liability company units (1,000,000)
Net cash used in investing activities (1,402,315) (971,028)
Cash flows from financing activities:    
Proceeds from sale of preferred shares 40,297,282
Proceeds from exercise of options 48,700
Proceeds from incentive warrants exercised 168,270,630
Proceeds from public warrants exercised 9,252,946
Borrowing from revolving credit agreement 30,000,000
Principal payments made on revolving credit agreement (30,000,000)
Principal payments made on insurance premium financing agreement (470,751)
Net cash provided by financing activities 177,052,825 40,345,982
Net increase in cash, cash equivalents and segregated cash 447,712,363 102,007,629
Effective of exchange rate changes 9,523,889 (2,764,555)
Cash, cash equivalents and segregated cash at beginning of the period 1,209,960,161 994,142,467
Cash, cash equivalents and segregated cash at end of the period 1,667,196,413 1,093,385,541
Cash, cash equivalents and segregated cash    
Cash and cash equivalents 476,682,552 335,912,084
Segregated cash 1,190,513,861 757,473,457
Cash, cash equivalents and segregated cash at end of the period 1,667,196,413 1,093,385,541
Non-cash financing activities:    
Equity issuance costs offset against offering proceeds 430,066
Insurance premium financing agreement 2,166,090
Ordinary share warrants issued to preferred shareholders 15,600,000
Ordinary shares issued to preferred shareholders 513,080,828
Ordinary shares issued to settle accounts payable 1,443,000
Preferred shares redemption value accretion (21,702,737) (1,098,804,125)
Promissory notes issued to repurchase preferred shares 100,000,000
Reclassification of repurchased preferred shares' excess carrying value from mezzanine equity to shareholders' equity 38,093,537
Reclassification of mezzanine equity to shareholders' equity from conversion of redeemable preferred shares 2,745,357,933
Supplemental disclosure:    
Income taxes paid 6,281,913 8,807,037
Interest paid $ 233,350