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Summary of Significant Accounting Policies (Tables) - Spartacus Acquisition Corp [Member] | 5 Months Ended | 9 Months Ended
--- | --- | ---
Dec. 31, 2020 | Sep. 30, 2021
Summary of Significant Accounting Policies (Tables) [Line Items] |  |
Schedule of assets and liabilities that were measured at fair value on a recurring basis |
Description |  | December 31, 2020 |  | Quoted Prices in Active Markets (Level 1) |  | Significant Other Observable Inputs (Level 2) |  | Significant Other Unobservable Inputs (Level 3)
Assets: |  |  |  |  |  |  |  |  |  |  |  |
U.S. Money Market held in trust Account |  |  | 5,071 |  |  | 5,071 |  |  | __ |  |  | __
U.S. Treasury Securities held in Trust Account |  |  | 203,023,911 |  |  | 203,023,911 |  |  | — |  |  | —
Cash and marketable securities held in Trust Account |  | $ | 203,028,982 |  | $ | 203,028,982 |  | $ | — |  | $ | —
Liabilities: |  |  |  |  |  |  |  |  |  |  |  |
Warrant Liability – Public Warrants |  | $ | 11,200,000 |  | $ | 11,200,000 |  | $ | — |  | $ | —
Warrant Liability – Private Placement Warrants |  | $ | 11,812,500 |  | $ | — |  | $ | — |  | $ | 11,812,500
Description |  | September 30, 2021 |  | Quoted Prices in Active Markets (Level 1) |  | Significant Other Observable Inputs (Level 2) |  | Significant Other Unobservable Inputs (Level 3)
Liabilities: |  |  |  |  |  |  |  |  |  |  |  |
Warrant Liability – Public Warrants |  | $ | 15,900,000 |  | $ | 15,900,000 |  | $ | — |  | $ | —
Warrant Liability – Private Placement Warrants |  | $ | 16,012,500 |  | $ | — |  | $ | — |  | $ | 16,012,500
Description |  | December 31, 2020 |  | Quoted Prices in Active Markets (Level 1) |  | Significant Other Observable Inputs (Level 2) |  | Significant Other Unobservable Inputs (Level 3)
Liabilities: |  |  |  |  |  |  |  |  |  |  |  |
Warrant Liability – Public Warrants |  | $ | 11,200,000 |  | $ | 11,200,000 |  | $ | — |  | $ | —
Warrant Liability – Private Placement Warrants |  | $ | 11,812,500 |  | $ | — |  | $ | — |  | $ | 11,812,500
Schedule of fair value measurements for both the public and private placement |
Public Warrants |  | At October 19, 2020 (Initial Measurement)
Stock Price |  | $ | 9.46
Strike Price |  | $ | 11.50
Term (in years) |  |  | 7.0
Volatility (pre/post business combination) |  |  | 10%/22%
Risk-free rate |  |  | 0.3%
Dividend yield |  |  | 0.0%
Redemption price |  |  | 18.00
Fair value of warrants |  | $ | 1.05
Private Placement Warrants |  | As of December 31, 2020 |  | At October 19, 2020 (Initial Measurement)
Stock price |  | $ | 10.06 |  | $ | 9.46
Strike price |  | $ | 11.50 |  | $ | 11.50
Term (in years) |  |  | 7.0 |  |  | 7.0
Volatility (pre/post business combination) |  |  | 10%/25% |  |  | 10%/22%
Risk-free rate |  |  | 0.4% |  |  | 0.3%
Dividend yield |  |  | 0.0% |  |  | 0.0%
Redemption Price |  | $ | — |  | $ | —
Fair value of warrants |  | $ | 1.35 |  | $ | 1.09
Private Placement Warrants |  | As of September 30, 2021 |  | As of December 31, 2020
Stock price |  | $ | 10.12 |  |  | $ | 10.06 |
Strike price |  | $ | 11.50 |  |  | $ | 11.50 |
Term (in years) |  |  | 5.1 |  |  |  | 6.3 |
Volatility (pre/post business combination) |  |  | 12 | %/26% |  |  | 10 | %/25%
Risk-free rate |  |  | 1.0 | % |  |  | 0.4 | %
Dividend yield |  |  | 0.0 | % |  |  | 0.0 | %
Probability of business combination |  |  | 95 | % |  |  | 85 | %
Redemption Price |  | $ | — |  |  | $ | — |
Fair value of warrants |  | $ | 1.83 |  |  | $ | 1.35 |
Schedule of changes in fair value of warrant liabilities |
|  | Private Placement |  | Public |  | Warrant Liabilities
Fair value as of August 20, 2020 |  | $ | — |  | $ | — |  | $ | —
Initial measurement on October 19, 2020 |  |  | 9,537,500 |  |  | 10,500,000 |  |  | 20,037,500
Change in valuation inputs or other assumptions |  |  | 2,275,000 |  |  | 700,000 |  |  | 2,975,000
Fair value as of December 31, 2020 |  | $ | 11,812,500 |  | $ | 11,200,000 |  | $ | 23,012,500
|  | Private Placement |  | Public |  | Warrant Liabilities
Fair value as of December 31, 2020 |  | $ | 11,812,500 |  | $ | 11,200,000 |  | $ | 23,012,500
Change in fair value of warrant liability |  |  | 4,200,000 |  |  | 4,700,000 |  |  | 8,900,000
Fair value as of September 30, 2021 |  | $ | 16,012,500 |  | $ | 15,900,000 |  | $ | 31,912,500
Schedule of weighted average number of non-redeemable |
|  | For the Year ended December 31, 2020
Common stock subject to possible redemption |  |  |  |
Numerator: Net income allocable to Class A common stock subject to possible redemption |  |  |  |
Amortized Interest income on marketable securities held in trust |  | $ | 24,142 |
Less: interest available to be withdrawn for payment of taxes |  |  | (24,142 | )
Net income allocable to Class A common stock subject to possible redemption |  | $ | — |
Denominator: Weighted-Average Redeemable Class A common stock |  |  |  |
Redeemable Class A Common Stock, Basic and Diluted |  |  | 8,663,166 |
Basic and Diluted net income per share, Redeemable Class A Common Stock |  | $ | 0.00 |
Non-Redeemable Common Stock |  |  |  |
Numerator: Net Income minus Redeemable Net Earnings |  |  |  |
Net Loss |  | $ | (3,733,764 | )
Redeemable Net Earnings |  |  | — |
Non-Redeemable Net Loss |  | $ | (3,733,764 | )
Denominator: Weighted-Average Non-Redeemable Common Stock |  |  |  |
Basic and diluted weighted-average shares outstanding, common stock |  |  | 6,546,624 |
Basic and diluted net loss per share, common stock |  | $ | (0.57 | )
|  | Three Months Ended September 30, 2021 |  | Nine Months Ended September 30, 2021
Class A Common stock subject to possible redemption |  |  |  |  |  |  |  |
Numerator: Net loss allocable to Class A common stock subject to possible redemption |  | $ | (6,357,008 | ) |  | $ | (9,910,316 | )
Denominator: Weighted Average Redeemable Class A common stock Basic and Diluted weighted average shares outstanding |  |  | 20,000,000 |  |  |  | 20,000,000 |
Basic and Diluted net loss per share, Redeemable Class A Common Stock |  | $ | (0.32 | ) |  | $ | (0.50 | )
Non-Redeemable Class B Common Stock |  |  |  |  |  |  |  |
Numerator: Net loss allocable to non-redeemable Class B common stock |  | $ | (1,589,252 | ) |  | $ | (2,477,579 | )
Denominator: Weighted Average Non-Redeemable Class B Common Stock Basic and diluted weighted average shares outstanding |  |  | 5,000,000 |  |  |  | 5,000,000 |
Basic and diluted net loss per share, Non-Redeemable Class B common stock |  | $ | (0.32 | ) |  | $ | (0.50 | )

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