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Pay vs Performance Disclosure - USD ($)
 12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Pay vs Performance Disclosure [Table]    
Pay vs Performance [Table Text Block]
Year
Summary
Compensation
Table Total
for PEO(1)(2)
Compensation
Actually Paid
to PEO(3)
Average Summary
Compensation
Table Total for
Non-PEO NEOs(2)(4)
Average
Compensation
Actually Paid to
Non-PEO NEOs(3)(4)
Total
Shareholder
Return(5)
Net Loss
(in thousands)
2022$2,595,395 $(21,606,202)$3,509,439 $(2,156,954)
(5)
$17.81 $(128,175)
2021952,200 (79,705)3,937,239 3,013,310 
(6)
97.19 (83,892)
  
Named Executive Officers, Footnote [Text Block] The PEO for each of the periods presented is Mr. Hirsch.The Non-PEO NEOs for 2022 were Dr. Boyle and Dr. Fisher and the Non-PEO NEOs for 2021 were Lauren White, our Chief Financial Officer, and Dr. Fisher.  
PEO Total Compensation Amount $ 2,595,395 $ 952,200
PEO Actually Paid Compensation Amount $ (21,606,202) (79,705)
Adjustment To PEO Compensation, Footnote [Text Block] The dollar amounts reported in these columns represent the amounts of “compensation actually paid.” The amounts are computed in accordance with Item 402(v) of Regulation S-K by deducting and adding the following amounts from the “Total” column of the SCT (pursuant to SEC rules, fair value at each measurement date is computed in a manner consistent with the fair value methodology used to account for share-based payments in our financial statements under GAAP):
20222021
PEOAverage Non-PEO NEOsPEOAverage Non-PEO NEOs
Total Compensation from Summary Compensation Table$2,595,395 $3,509,439 $952,200 $3,937,239 
Adjustments for Equity Awards
Adjustments for grant date fair values of equity awards granted in the current year(1,624,400)(2,844,379)— (3,395,354)
Year-end fair value of unvested equity awards granted in the current year284,900 356,546 — 2,172,003 
Year-over-year difference of year-end fair values for unvested equity awards granted in prior years(18,018,970)(2,349,947)(3,356,456)(167,996)
Fair values at vest date for equity awards granted and vested in current year158,875 104,252 — 216,575 
Difference in fair values between prior year-end fair values and vest date fair values for equity awards granted in prior years(5,002,002)(932,865)2,324,551 250,843 
Total Adjustments for Equity Awards(24,201,597)(5,666,393)(1,031,905)(923,929)
Compensation Actually Paid (as calculated)$(21,606,202)$(2,156,954)$(79,705)$3,013,310 
  
Non-PEO NEO Average Total Compensation Amount $ 3,509,439 3,937,239
Non-PEO NEO Average Compensation Actually Paid Amount $ (2,156,954) 3,013,310
Adjustment to Non-PEO NEO Compensation Footnote [Text Block] The dollar amounts reported in these columns represent the amounts of “compensation actually paid.” The amounts are computed in accordance with Item 402(v) of Regulation S-K by deducting and adding the following amounts from the “Total” column of the SCT (pursuant to SEC rules, fair value at each measurement date is computed in a manner consistent with the fair value methodology used to account for share-based payments in our financial statements under GAAP):
20222021
PEOAverage Non-PEO NEOsPEOAverage Non-PEO NEOs
Total Compensation from Summary Compensation Table$2,595,395 $3,509,439 $952,200 $3,937,239 
Adjustments for Equity Awards
Adjustments for grant date fair values of equity awards granted in the current year(1,624,400)(2,844,379)— (3,395,354)
Year-end fair value of unvested equity awards granted in the current year284,900 356,546 — 2,172,003 
Year-over-year difference of year-end fair values for unvested equity awards granted in prior years(18,018,970)(2,349,947)(3,356,456)(167,996)
Fair values at vest date for equity awards granted and vested in current year158,875 104,252 — 216,575 
Difference in fair values between prior year-end fair values and vest date fair values for equity awards granted in prior years(5,002,002)(932,865)2,324,551 250,843 
Total Adjustments for Equity Awards(24,201,597)(5,666,393)(1,031,905)(923,929)
Compensation Actually Paid (as calculated)$(21,606,202)$(2,156,954)$(79,705)$3,013,310 
  
Total Shareholder Return Amount $ 17.81 97.19
Net Income (Loss) $ (128,175,000) (83,892,000)
PEO Name Mr. Hirsch.  
Additional 402(v) Disclosure [Text Block] Amounts in this column represent the “Total” column set forth in the Summary Compensation Table, or SCT, which is set forth in this proxy statement on page 33. See the footnotes to the SCT for further detail regarding the amounts in these columns.Shareholder return provides the value of common stock as of December 31, 2022 and December 31, 2021 assuming $100 was invested in our common stock after the market closed on December 31, 2020.
Narrative Disclosure: Pay Versus Performance Table
The illustrations below provide a graphical description of Compensation Actually Paid, or CAP, (as calculated in accordance with the rules promulgated by the Securities and Exchange Commission, or the SEC) and the following measures:
•C4T’s cumulative Total Shareholder Return, or TSR; and
•C4T’s Net Income
45918
45920
  
PEO [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount $ (24,201,597) (1,031,905)
PEO [Member] | Equity Awards Granted During the Year, Grant Date Fair Value Adjustment [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount (1,624,400) 0
PEO [Member] | Equity Awards Granted During the Year, Unvested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount 284,900 0
PEO [Member] | Equity Awards Granted in Prior Years, Unvested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount (18,018,970) (3,356,456)
PEO [Member] | Equity Awards Granted During the Year, Vested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount 158,875 0
PEO [Member] | Equity Awards Granted in Prior Years, Vested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount (5,002,002) 2,324,551
Non-PEO NEO [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount (5,666,393) (923,929)
Non-PEO NEO [Member] | Equity Awards Granted During the Year, Grant Date Fair Value Adjustment [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount (2,844,379) (3,395,354)
Non-PEO NEO [Member] | Equity Awards Granted During the Year, Unvested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount 356,546 2,172,003
Non-PEO NEO [Member] | Equity Awards Granted in Prior Years, Unvested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount (2,349,947) (167,996)
Non-PEO NEO [Member] | Equity Awards Granted During the Year, Vested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount 104,252 216,575
Non-PEO NEO [Member] | Equity Awards Granted in Prior Years, Vested [Member]    
Pay vs Performance Disclosure [Table]    
Adjustment to Compensation Amount $ (932,865) $ 250,843