Fair Value of ZEN - Additional Information (Detail)	Mar. 31, 2024 Horizen $ / shares	Sep. 30, 2023 Horizen $ / shares
Fair Value Disclosures [Abstract]
Investment owned balance shares held by custodian \| Horizen	593,660.61627208	601,138.55454194
Horizen fair value per share \| $ / shares	$ 14.83	$ 7.77

Investment owned, balance, shares held by custodian.

No definition available.

Name:	hzen_InvestmentOwnedBalanceSharesHeldByCustodian
Namespace Prefix:	hzen_
Data Type:	xbrli:decimalItemType
Balance Type:	na
Period Type:	instant