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Agreements (Details) - USD ($)	3 Months Ended		6 Months Ended		12 Months Ended
	Mar. 31, 2025	Mar. 31, 2024	Mar. 31, 2025	Mar. 31, 2024	Sep. 30, 2024
Agreements [Line Items]
Administrator expenses	$ 112,829	$ 57,550	$ 197,184	$ 135,402
Administrator expenses payable	0		0		$ 0
Expenses	$ 303,848	$ 504,890	$ 630,168	$ 809,690
Target level of performance [Member]
Agreements [Line Items]
Performance based executive compensation target award percentage			100.00%
Maximum level of performance [Member]
Agreements [Line Items]
Performance based executive compensation target award percentage			200.00%
Mr. Lorber [Member]
Agreements [Line Items]
Received plan awards					1,403,530
Performance award			$ 1,000,000
Ms. McMillan [Member]
Agreements [Line Items]
Received plan awards					$ 599,260
Performance award			$ 425,000
Target Performance Award [Member]
Agreements [Line Items]
Performance goal percentage			30.00%
Net Asset Value [Member]
Agreements [Line Items]
Performance goal percentage			70.00%
Minimum [Member]
Agreements [Line Items]
Performance based executive compensation target award percentage			0.00%
Maximum [Member]
Agreements [Line Items]
Performance based executive compensation target award percentage			200.00%

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

- Definition

Performance goal percentage of Net Asset Value per share.

+ References

No definition available.

+ Details

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Namespace Prefix:	pfx_
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X

- Definition

Percentage of performance based executive compensation.

+ References

No definition available.

+ Details

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X

- Definition

Amount of expense for administrative fee from service provided, including, but not limited to, salary, rent, or overhead cost.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.6-07(2)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479134/946-220-S99-1

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-SubTopic 10
-Topic 850
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483326/850-10-50-1

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section 45
-Paragraph 3
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479105/946-220-45-3

+ Details

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Balance Type:	debit
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X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 808
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (d)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479402/808-10-50-1

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X

- Definition

Total costs of sales and operating expenses for the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 220
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483621/220-10-S99-2

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X

- Definition

Cash received for fees during the current period. This element excludes cash proceeds from license fees.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 230
-SubTopic 10
-Name Accounting Standards Codification
-Section 45
-Paragraph 25
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-25

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- Definition

Amount of transactions with related party during the financial reporting period.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 850
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 1
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147483326/850-10-50-1

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- Details

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- Details

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- Details

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- Details

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