Represent the maximum amount available for issuance related to the purchase agreement.

No definition available.

Name:	gnpx_EquityIssuanceMaximumAmountAvailableForIssuance
Namespace Prefix:	gnpx_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The cash inflow from issuance of rights to purchase common shares at predetermined price (usually issued together with corporate debt).

+ References

No definition available.

+ Details

Name:	gnpx_ProceedsFromIssuanceOfWarrantsGross
Namespace Prefix:	gnpx_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The cash fee payable on the sale of stock, as a percent of the aggregate gross exercise price paid in cash with respect to the exercise of warrants.

+ References

No definition available.

+ Details

Name:	gnpx_SaleOfStockCashFee
Namespace Prefix:	gnpx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

The management fee payable on the sale of stock, as a percent of the aggregate gross exercise price paid in cash with respect to the exercise of warrants.

+ References

No definition available.

+ Details

Name:	gnpx_SaleOfStockManagementFee
Namespace Prefix:	gnpx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

The number of warrants purchasable in the sale of stock, as a percent of the shares equal to the aggregate number of shares of common stock underlying.

+ References

No definition available.

+ Details

Name:	gnpx_SaleOfStockPurchasableWarrants
Namespace Prefix:	gnpx_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

- Definition

Exercise price per share or per unit of warrants or rights outstanding.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S50
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480738/235-10-S50-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 235
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.4-08(h)(4))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480678/235-10-S99-1

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

Name:	us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of securities into which the class of warrant or right may be converted. For example, but not limited to, 500,000 warrants may be converted into 1,000,000 shares.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 3
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-3

+ Details

Name:	us-gaap_ClassOfWarrantOrRightNumberOfSecuritiesCalledByWarrantsOrRights
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

The cash inflow from the additional capital contribution to the entity.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 14
-Subparagraph (a)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482740/230-10-45-14

+ Details

Name:	us-gaap_ProceedsFromIssuanceOfCommonStock
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The cash inflow from issuance of rights to purchase common shares at predetermined price (usually issued together with corporate debt).

+ References

+ Details

Name:	us-gaap_ProceedsFromIssuanceOfWarrants
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

Per share or per unit amount of equity securities issued.

+ References

No definition available.

+ Details

Name:	us-gaap_SharesIssuedPricePerShare
Namespace Prefix:	us-gaap_
Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of shares issued in lieu of cash for services contributed to the entity. Number of shares includes, but is not limited to, shares issued for services contributed by vendors and founders.

+ References

No definition available.

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesIssuedForServices
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Number of new stock issued during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-SubTopic 10
-Topic 505
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-2

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 210
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

Reference 4: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 505
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147478448/946-505-50-2

Reference 5: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 220
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-09(4)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479134/946-220-S99-3

Reference 6: http://www.xbrl.org/2003/role/disclosureRef
-Topic 946
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 3
-Subparagraph (SX 210.6-03(i)(1))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479886/946-10-S99-3

Reference 7: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480008/505-10-S99-1

+ Details

Name:	us-gaap_StockIssuedDuringPeriodSharesNewIssues
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Ratio applied to the conversion of stock split, for example but not limited to, one share converted to two or two shares converted to one.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section S99
-Paragraph 4
-Subparagraph (SAB Topic 4.C)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480008/505-10-S99-4

+ Details

Name:	us-gaap_StockholdersEquityNoteStockSplitConversionRatio1
Namespace Prefix:	us-gaap_
Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	duration

- Definition

Period between issuance and expiration of outstanding warrant and right embodying unconditional obligation requiring redemption by transferring asset at specified or determinable date or upon event certain to occur, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(2)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (bbb)(1)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

+ Details

Name:	us-gaap_WarrantsAndRightsOutstandingTerm
Namespace Prefix:	us-gaap_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	instant

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=gnpx_PlacementAgentWarrantsMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=gnpx_The2025ElocFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=gnpx_The2023AtmFacilityMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	srt_TitleOfIndividualAxis=gnpx_ScientificAdvisoryBoardChairmanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_NonmonetaryTransactionTypeAxis=gnpx_ReverseStockSplitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=gnpx_October2025PrivateWarrants1Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ClassOfWarrantOrRightAxis=gnpx_October2025PrivateWarrants2Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=gnpx_October2024RegisteredDirectOffering1Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsidiarySaleOfStockAxis=gnpx_October2025RegisteredDirectOffering2Member
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Note 9 - Subsequent Events (Details Textual)								1 Months Ended	3 Months Ended		9 Months Ended
Note 9 - Subsequent Events (Details Textual)	Nov. 10, 2025 USD ($)	Oct. 29, 2025 USD ($) $ / shares shares	Oct. 24, 2025 USD ($) $ / shares shares	Oct. 21, 2025	Oct. 01, 2025 USD ($) shares	Jun. 11, 2025 USD ($)	Feb. 02, 2024	Nov. 14, 2025 USD ($) shares	Sep. 30, 2025 USD ($) $ / shares shares	Sep. 30, 2024 USD ($) $ / shares shares	Sep. 30, 2025 USD ($) $ / shares shares	Sep. 30, 2024 USD ($) $ / shares shares	Jun. 30, 2025 $ / shares	Mar. 31, 2025 $ / shares	Dec. 31, 2024 $ / shares	Jun. 30, 2024 $ / shares	Mar. 31, 2024 $ / shares	Dec. 31, 2023 $ / shares
Proceeds from Issuance of Common Stock \| $											$ 10,714,593	$ 8,029,143
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) \| $ / shares									$ 499.26	$ 503.74	$ 499.26	$ 503.74	$ 503.75	$ 503.75	$ 503.75	$ 361.6	$ 297.21	$ 4,054.81
Placement Agent Warrants [Member]
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) \| $ / shares										$ 260.44		$ 260.44
The 2025 ELOC Facility [Member]
Stock Issued During Period, Shares, Issued for Services (in shares)									341,224
Stock Issued During Period, Shares, New Issues (in shares)									341,224		422,380
Proceeds from Issuance of Common Stock \| $									$ 2,943,745		$ 3,818,631
Equity Issuance, Maximum Amount, Available for Issuance \| $						$ 12,500,000
The 2023 ATM Facility [Member]
Stock Issued During Period, Shares, New Issues (in shares)									0	42,990	338,811	46,370
Proceeds from Issuance of Common Stock \| $										$ 1,215,105	$ 6,895,947	$ 2,117,752
Scientific Advisory Board Chairman [Member]
Stock Issued During Period, Shares, Issued for Services (in shares)									100	100	300	203
Reverse Stock Split [Member]
Stockholders' Equity Note, Stock Split, Conversion Ratio							40
Subsequent Event [Member] \| October 2025 Private Warrants 1 [Member]
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)			487,244
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) \| $ / shares			$ 11
Warrants and Rights Outstanding, Term (Year)			24 months
Proceeds from Issuance of Warrants, Gross \| $			$ 2,500,000
Proceeds from Issuance of Warrants \| $			$ 5,400,000
Subsequent Event [Member] \| Placement Agent Warrants [Member]
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)		22,667	14,617
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) \| $ / shares		$ 11.25	$ 14.0125
Warrants and Rights Outstanding, Term (Year)		24 months	24 months
Subsequent Event [Member] \| October 2025 Private Warrants 2 [Member]
Class of Warrant or Right, Number of Securities Called by Warrants or Rights (in shares)		755,560
Class of Warrant or Right, Exercise Price of Warrants or Rights (in dollars per share) \| $ / shares		$ 8.75
Warrants and Rights Outstanding, Term (Year)		24 months
Proceeds from Issuance of Warrants, Gross \| $		$ 6,100,000
Proceeds from Issuance of Warrants \| $		$ 3,100,000
Subsequent Event [Member] \| The 2025 ELOC Facility [Member]
Stock Issued During Period, Shares, New Issues (in shares)					326,750
Proceeds from Issuance of Common Stock \| $					$ 1,434,139
Subsequent Event [Member] \| October 2024 Registered Direct Offering 1 [Member]
Stock Issued During Period, Shares, New Issues (in shares)			243,622
Shares Issued, Price Per Share (in dollars per share) \| $ / shares			$ 11.21
Subsequent Event [Member] \| October 2025 Registered Direct Offering 2 [Member]
Stock Issued During Period, Shares, New Issues (in shares)		377,780
Shares Issued, Price Per Share (in dollars per share) \| $ / shares		$ 9
Sale of Stock, Cash Fee		7.00%
Sale of Stock, Management Fee		1.00%
Sale of Stock, Purchasable Warrants		6.00%
Subsequent Event [Member] \| The 2023 ATM Facility [Member]
Stock Issued During Period, Shares, New Issues (in shares)								242,537
Proceeds from Issuance of Common Stock \| $								$ 1,006,740
Equity Issuance, Maximum Amount, Available for Issuance \| $	$ 11,495,000
Subsequent Event [Member] \| Scientific Advisory Board Chairman [Member]
Stock Issued During Period, Shares, Issued for Services (in shares)					100
Subsequent Event [Member] \| Reverse Stock Split [Member]
Stockholders' Equity Note, Stock Split, Conversion Ratio				50