Number of shares issued for each share upon conversion.

No definition available.

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- Definition

Number of common stock shares issuable that are subjected to share price trigger vesting.

+ References

No definition available.

+ Details

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Period Type:	instant

- Definition

Number of shares forfeited

+ References

No definition available.

+ Details

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

- Definition

Threshold number of consecutive trading days to exceed or maintain the trigger price for vesting of shares.

+ References

No definition available.

+ Details

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Namespace Prefix:	adgm_
Data Type:	xbrli:integerItemType
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- Definition

Threshold number of trading days to exceed or maintain the trigger price for vesting of shares.

+ References

No definition available.

+ Details

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Data Type:	xbrli:integerItemType
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- Definition

Threshold share price trigger for vesting of share.

+ References

No definition available.

+ Details

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Data Type:	dtr-types:perShareItemType
Balance Type:	na
Period Type:	instant

- 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 805
-SubTopic 20
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479907/805-20-50-5

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- Definition

Face amount or stated value per share of common stock.

+ References

+ Details

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Data Type:	dtr-types:perShareItemType
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- Definition

The value of the financial instrument(s) that the original debt is being converted into in a noncash (or part noncash) transaction. "Part noncash" refers to that portion of the transaction not resulting in cash receipts or cash payments in the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 3
-Publisher FASB
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Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Number of common shares issuable upon conversion for each share of preferred stock to be converted.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 505
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 13
-Subparagraph (c)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147481112/505-10-50-13

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Data Type:	xbrli:pureItemType
Balance Type:	na
Period Type:	instant

- Definition

Face amount or stated value per share of preferred stock nonredeemable or redeemable solely at the option of the issuer.

+ References

Reference 1: 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))
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-URI https://asc.fasb.org/1943274/2147481112/505-10-50-13

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Name:	us-gaap_StatementClassOfStockAxis=us-gaap_CommonClassAMember
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Data Type:	na
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- Details

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Forward Merger - Consummation of Business Combinations (Details) $ / shares in Units, $ in Millions	Jul. 31, 2024 USD ($) D $ / shares shares	Feb. 13, 2024 USD ($)	Jun. 30, 2025 $ / shares	Dec. 31, 2024 $ / shares	Mar. 31, 2024 $ / shares	Dec. 31, 2023 $ / shares
Forward Merger
Common stock par value			$ 0.0001	$ 0.0001	$ 0.001	$ 0.001
Preferred stock, par value	$ 0.001		$ 0.0001
Preferred stock conversion ratio	1
Convertible Securities Notes
Forward Merger
Amount of convertible notes issued \| $	$ 7.0	$ 7.0
Class A ordinary share
Forward Merger
Common stock par value	$ 0.0001
ARYA Sciences Acquisition Corp IV \| Sponsor
Forward Merger
Number of common stock shares issuable that are subjected to vesting \| shares	1,147,500
Share trigger price for vesting	$ 24
Threshold number of trading days to exceed or maintain trigger price for vesting of shares \| D	20
Threshold number of consecutive trading days to exceed or maintain trigger price for vesting of shares \| D	30
ARYA Sciences Acquisition Corp IV \| Class A ordinary share
Forward Merger
Common stock par value	$ 0.0001
Number of share for each share \| shares	1
ARYA Sciences Acquisition Corp IV \| Class B ordinary share
Forward Merger
Number of share for each share \| shares	1
ARYA Sciences Acquisition Corp IV \| Class B ordinary share \| Sponsor
Forward Merger
Number of shares forfeited \| shares	1,000,000