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Convertible Notes Payable (Details Narrative) - USD ($) |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1 Months Ended | 12 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Mar. 13, 2025 | Mar. 06, 2025 | Jan. 25, 2025 | Jan. 24, 2025 | Dec. 09, 2024 | Nov. 25, 2024 | Nov. 22, 2024 | Oct. 31, 2024 | Oct. 11, 2024 | Oct. 10, 2024 | Oct. 09, 2024 | Aug. 06, 2024 | Jun. 24, 2024 | Aug. 31, 2023 | Mar. 31, 2023 | Dec. 31, 2024 | Dec. 31, 2023 | Nov. 30, 2024 | Apr. 20, 2024 | Mar. 31, 2024 | Mar. 20, 2024
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 5,700,000 |  |  |
Issuance of Common Stock for licensing right |  |  |  |  |  |  |  |  |  |  | $ 100,000 |  |  |  |  | $ 1,568,000 |  |  |  |  |
Issuance of Common Stock for licensing right, shares |  |  |  |  |  |  |  |  | 11,380 |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  |  |  |  |  |  | 42,000 |  |  |  |  | (707,000) |  |  |  |  |
Convertible promissory notes payable |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 800,000 | 800,000 |  |  |  |
Fair value of convertible note |  |  |  |  |  |  |  |  |  |  | 100,000 |  |  |  |  |  |  |  |  |  |
Stock issued |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 544,000 |  |  |  |
Carrying value |  |  |  |  |  |  |  |  |  |  | 200,000 |  |  |  |  |  |  |  |  |  |
Issuance of shares |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 308 | $ 3.18 | $ 347
Interest expense debt |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 40,000 | 0 |  |  |  |
Total debt discount |  |  |  |  |  |  |  |  |  |  |  | $ 1,500,000 |  |  |  |  |  |  |  |  |
Amortization expenses |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,666,000 | 479,000 |  |  |  |
Interest expense |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | (1,506,000) | (211,000) |  |  |  |
Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse stock split, description |  |  |  | 1-for-100 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Convertible Promissory Note Payable [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  |  |  |  |  |  | 100,000 |  |  |  |  |  |  |  |  |  |
2023 Convertible Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 800,000 |  |  |  |  |  |
2023 Convertible Note [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount | $ 700,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Settlement of debt | $ 700,000 | $ 700,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
First Amendment Nirland Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Carrying value |  |  |  |  |  |  | $ 2,700,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Conversion price |  |  |  |  |  |  |  | $ 10.00 |  |  |  |  |  |  |  |  |  |  |  |  |
First Amendment [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value of convertible note |  |  |  |  |  |  | 4,400,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
First Amendment [Member] | Nirland Limited [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  |  |  | $ 2,200,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Carrying value |  |  |  |  |  |  |  | 1,300,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Convertible notes payable |  |  |  |  |  |  |  | 3,600,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Par value |  |  |  |  |  |  |  | 2,700,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Convertible debt |  |  |  |  |  |  |  | $ 800,000 |  |  |  |  |  |  |  |  |  |  |  |  |
Second Amendment Nirland Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  |  | $ 900,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Conversion price |  |  |  |  |  |  | $ 0.10 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Penalty payment |  |  |  |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse stock split, description |  |  |  |  |  |  | 1-for-100 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value of convertible note |  |  |  |  |  |  | $ 4,500,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accured interest |  |  |  |  |  |  | 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Second Amendment [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Convertible debt |  |  |  |  |  |  | $ 800,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |
Convertible Promissory Notes [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payable at fair value |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 2,800,000 |  |  |  |  |
Alliance Gobal Partners Convertible Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  | $ 5,700,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Conversion percentage |  |  |  |  |  | 9.99% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  | $ 2,400,000 |  |  |  |  |  |  |  |  |  | 2,400,000 |  |  |  |  |
Fair value of convertible note |  |  |  |  |  | $ 3,400,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Interest expense debt |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 32,000 |  |  |  |  |
Conversion price |  |  |  |  |  | $ 1.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair value of convertible note |  |  |  |  |  | $ 3,400,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on change in fair value |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 500,000 |  |  |  |  |
Interest expense |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 32,000 |  |  |  |  |
Convertible notes interest per annum |  |  |  |  |  | 5.50% |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fixed price |  |  |  |  |  | $ 10.00 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Deferred commission payable |  |  |  |  |  | $ 5,700,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on change in fair value of convertible note |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 500,000 |  |  |  |  |
Alliance Gobal Partners Convertible Note [Member] | Subsequent Event [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Reverse stock split, description |  |  | The Company notes that the reverse split provision in the preceding sentence was tripped, effective January 25, 2025, following the 1-for-100 reverse stock split that occurred on that date |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of Common Stock for licensing right |  |  |  |  |  |  |  |  |  |  | $ 80,000 |  |  |  |  | $ 1,000 |  |  |  |  |
Issuance of Common Stock for licensing right, shares |  |  |  |  |  |  |  |  |  |  | 20,000 |  | 961 | 65,000,000 |  | 125,000 |  |  |  |  |
Issuance of shares |  |  |  |  |  |  |  |  |  |  |  |  | $ 156 |  |  |  |  |  |  |  |
Total debt discount |  |  |  |  |  |  |  |  |  |  |  | 1,200,000 |  |  |  |  |  |  |  |  |
Conversion option |  |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Conversion shares |  |  |  |  | 23,000 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Accrued interest |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 2,600,000 |  |  |  |  |
Common Stock [Member] | Convertible Promissory Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of Common Stock for licensing right, shares |  |  |  |  |  |  |  |  | 27,812 |  |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] | Convertible Promissory Note [Member] | Consulting Agreement [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Issuance of Common Stock for licensing right |  |  |  |  |  |  |  |  |  | $ 100,000 |  |  |  |  |  |  |  |  |  |  |
Issuance of Common Stock for licensing right, shares |  |  |  |  |  |  |  |  | 8,500 |  |  |  |  |  |  |  |  |  |  |  |
Issuance of shares |  |  |  |  |  |  |  |  |  | $ 10.24 |  |  |  |  |  |  |  |  |  |  |
Shares issued |  |  |  |  |  |  |  |  |  | 8,500 |  |  |  |  |  |  |  |  |  |  |
Common Stock [Member] | Convertible Promissory Note Payable [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Convertible promissory notes payable |  |  |  |  |  |  |  |  |  |  | $ 800,000 |  |  |  |  |  |  |  |  |  |
Fair value of convertible note |  |  |  |  |  |  |  |  |  |  | 400,000 |  |  |  |  |  |  |  |  |  |
Stock issued |  |  |  |  |  |  |  |  |  |  | 300,000 |  |  |  |  |  |  |  |  |  |
Carrying value |  |  |  |  |  |  |  |  |  |  | $ 800,000 |  |  |  |  |  |  |  |  |  |
Convertible Promissory Notes Payable [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 800,000 |  |  |  |  |  |
Debt instrument maturity description |  |  |  |  |  |  |  |  |  |  |  |  |  |  | The Convertible Promissory Note Payable had a maturity date of 18 months from the date of issuance. |  |  |  |  |  |
Conversion percentage |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 20.00% |  |  |  |  |  |
Interest expense debt |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 500,000 | $ 100,000 |  |  |  |
Gain on change in fair value |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,500,000 |  |  |  |  |
Interest expense |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 400,000 |  |  |  |  |
Convertible Promissory Notes Payable [Member] | Nirland Limited [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Interest expense debt |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 400,000 |  |  |  |  |
Accured interest |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 200,000 |  |  |  |  |
Fair value of convertible promissory notes |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,500,000 |  |  |  |  |
Amortization expenses |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 200,000 |  |  |  |  |
Amortization of debt discount |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 1,500,000 |  |  |  |  |
Convertible Promissory Notes Payable [Member] | First Amendment [Member] | Nirland Limited [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 2,200,000 |  |  |  |  |
Convertible Promissory Notes Payable [Member] | Second Amendment [Member] | Nirland Limited [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Gain on debt extinguishment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 900,000 |  |  |  |  |
Senior Secured Promissory Note [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  |  |  |  |  |  | $ 2,200,000 |  |  |  |  |  |  |  |  |
Issuance of Common Stock for licensing right, shares |  |  |  |  |  |  |  |  |  |  |  | 125,000 |  |  |  |  |  |  |  |  |
Carrying value |  |  |  |  |  |  |  |  |  |  |  | $ 1,500,000 |  |  |  |  |  |  |  |  |
Total debt discount |  |  |  |  |  |  |  |  |  |  |  | 300,000 |  |  |  |  |  |  |  |  |
Debt instrument allocated |  |  |  |  |  |  |  |  |  |  |  | 1,200,000 |  |  |  |  |  |  |  |  |
Notes payable |  |  |  |  |  |  |  |  |  |  |  | 2,700,000 |  |  |  |  |  |  |  |  |
Senior Secured Promissory Note [Member] | Nirland Limited [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument face amount |  |  |  |  |  |  |  |  |  |  |  | $ 2,700,000 |  |  |  |  |  |  |  |  |
Debt instrument maturity description |  |  |  |  |  |  |  |  |  |  |  | The August 2024 Nirland Note matures 12 months from August 6, 2024. |  |  |  |  |  |  |  |  |
Conversion percentage |  |  |  |  |  |  |  |  |  |  |  | 12.00% |  |  |  |  |  |  |  |  |
Issuance of Common Stock for licensing right, shares |  |  |  |  |  |  |  |  |  |  |  | 125,000 |  |  |  |  |  |  |  |  |
Total debt discount |  |  |  |  |  |  |  |  |  |  |  | $ 500,000 |  |  |  |  |  |  |  |  |
Debt issued upon execution |  |  |  |  |  |  |  |  |  |  |  | 1,700,000 |  |  |  |  |  |  |  |  |
Payment to common stock |  |  |  |  |  |  |  |  |  |  |  | $ 500,000 |  |  |  |  |  |  |  |  |
Net proceeds received, percentage |  |  |  |  |  |  |  |  |  |  |  | 75.00% |  |  |  |  |  |  |  |  |
Senior Secured Promissory Note [Member] | Common Stock [Member] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Short-Term Debt [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Carrying value |  |  |  |  |  |  |  |  |  |  |  | $ 1,200,000 |  |  |  |  |  |  |  |  |
Total debt discount |  |  |  |  |  |  |  |  |  |  |  | 200,000 |  |  |  |  |  |  |  |  |
Remaining allocated to common stock |  |  |  |  |  |  |  |  |  |  |  | $ 1,000,000.0 |  |  |  |  |  |  |  |  |

X
- Definition Debt issuance upon execution. + References No definition available. + Details
Name: | CDT_DebtIssuedUponExecution
Namespace Prefix: | CDT_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | instant

X
- Definition Deferred commission payable + References No definition available. + Details
Name: | CDT_DeferredCommissionPayable
Namespace Prefix: | CDT_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

X
- Definition Gain on change in fair value + References No definition available. + Details
Name: | CDT_GainOnChangeInFairValue
Namespace Prefix: | CDT_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Gain on change in fair value of convertible note + References No definition available. + Details
Name: | CDT_GainOnChangeInFairValueOfConvertibleNote
Namespace Prefix: | CDT_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
- Definition Net proceeds received percentage. + References No definition available. + Details
Name: | CDT_NetProceedsReceivedPercentage
Namespace Prefix: | CDT_
Data Type: | dtr-types:percentItemType
Balance Type: | na
Period Type: | instant

X
- Definition Payment of common stock. + References No definition available. + Details
Name: | CDT_PaymentOfCommonStock
Namespace Prefix: | CDT_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

X
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