Fair Value of ZEN - Additional Information (Detail)	Jun. 30, 2025 Horizen $ / shares	Sep. 30, 2024 Horizen $ / shares
Fair Value Disclosures [Abstract]
Investment owned balance shares held by custodian \| Horizen	961,450.15412441	586,285.79535365
Horizen fair value per share \| $ / shares	$ 7.38	$ 8.13

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