Statements of Cash Flows (Parenthetical) - shares	12 Months Ended
Dec. 31, 2025	Dec. 31, 2024
Statement of Cash Flows [Abstract]
Conversion of redeemable convertible preferred stock into common stock shares on completion of initial public offering	114,556,997	114,556,997

Conversion of redeemable convertible preferred stock into common stock on completion of initial public offering, shares.

No definition available.

Name:	kytx_ConversionOfRedeemableConvertiblePreferredStockIntoCommonStockOnCompletionOfInitialPublicOfferingShares
Namespace Prefix:	kytx_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration