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Agreements (Details) - USD ($)	3 Months Ended		6 Months Ended
	Mar. 31, 2023	Mar. 31, 2022	Mar. 31, 2023	Mar. 31, 2022	Sep. 30, 2022
Agreements (Details) [Line Items]
Administrator expenses	$ 77,937	$ 82,415	$ 155,821	$ 151,281
Administrator expenses payable	1,900		1,900		$ 74,911
Accrual awarded compensation amount
Target level of performance [Member]
Agreements (Details) [Line Items]
Performance based executive compensation target award percentage			100.00%
Maximum level of performance [Member]
Agreements (Details) [Line Items]
Performance based executive compensation target award percentage			200.00%
Minimum [Member]
Agreements (Details) [Line Items]
Performance based executive compensation target award percentage			0.00%
Net asset value per share performance goal percentage			30.00%
Maximum [Member]
Agreements (Details) [Line Items]
Performance based executive compensation target award percentage			(200.00%)
Net asset value per share performance goal percentage			70.00%
Administration Agreement [Member]
Agreements (Details) [Line Items]
Administrator expenses payable	$ 1,900		$ 1,900		$ 74,911

X

- Definition

Amount of expense for fund administrative services.

+ References

No definition available.

+ Details

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Namespace Prefix:	pfx_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Amount of accrued administrator expenses payable.

+ References

No definition available.

+ Details

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Namespace Prefix:	pfx_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- References

No definition available.

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Performance goal percentage of Net Asset Value per share.

+ References

No definition available.

+ Details

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Namespace Prefix:	pfx_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Percentage of performance based executive compensation.

+ References

No definition available.

+ Details

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Namespace Prefix:	pfx_
Data Type:	dtr:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of commitment made to pay deferred cash remuneration.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Details

Name:	pfx_LevelOfPerformanceAxis=pfx_TargetLevelOfPerformanceMember
Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MinimumMember
Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

Name:	srt_RangeAxis=srt_MaximumMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

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Namespace Prefix:
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Period Type: