Mezzanine Equity and Stockholders' Equity (Deficit) - Company's reserved common stock (Details) - shares	Mar. 31, 2025	Dec. 31, 2024	Jul. 31, 2024
Mezzanine Equity and Stockholders' Equity (Deficit)
Convertible preferred stock, shares outstanding		4,939,946
Company's common stock issuable upon the exercise of outstanding options Legacy Adagio's equity plans that were assumed in the Business Combination	7,587	7,587
Common stock reserved for future issuance under the 2024 Equity Incentive Plan	22,261,115	20,535,970	1,036,666
Common stock reserved for future issuance	22,261,115	20,535,970	1,036,666
Convertible Securities Notes
Mezzanine Equity and Stockholders' Equity (Deficit)
Convertible Securities Notes	3,231,327	3,231,327
Base Warrants
Mezzanine Equity and Stockholders' Equity (Deficit)
Warrants	7,528,727	7,528,727
PIPE Pre-funded warrants
Mezzanine Equity and Stockholders' Equity (Deficit)
Warrants	0	0
Convert Warrants
Mezzanine Equity and Stockholders' Equity (Deficit)
Warrants	1,500,000	1,500,000
2024 Equity incentive plan
Mezzanine Equity and Stockholders' Equity (Deficit)
Common stock reserved for future issuance under the 2024 Equity Incentive Plan	6,197,737	4,472,592
Common stock reserved for future issuance	6,197,737	4,472,592
2024 Key employee equity incentive plan
Mezzanine Equity and Stockholders' Equity (Deficit)
Common stock reserved for future issuance under the 2024 Equity Incentive Plan	3,354,444	3,354,444
Common stock reserved for future issuance	3,354,444	3,354,444
2024 Employee Stock Purchase Plan
Mezzanine Equity and Stockholders' Equity (Deficit)
Stock options issued and outstanding under the 2012 and 2022 Plan	4,876,552	7,587
Common stock reserved for future issuance under the 2024 Equity Incentive Plan	441,293	441,293
Common stock reserved for future issuance	441,293	441,293

Number of common shares issuable upon conversion of debt.

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Represents the number of shares issuable upon the exercise of outstanding options that were assumed in the Business Combination.

+ References

No definition available.

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Number of warrants or rights outstanding.

+ References

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- Definition

Aggregate number of common shares reserved for future issuance.

+ 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(29))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

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- Definition

Number of options outstanding, including both vested and non-vested options.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(1)(i)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (c)(1)(ii)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480429/718-10-50-2

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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.

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The number of securities classified as temporary equity that have been issued and are held by the entity's shareholders. Securities outstanding equals securities issued minus securities held in treasury. Temporary equity is a security with redemption features that are outside the control of the issuer, is not classified as an asset or liability in conformity with GAAP, and is not mandatorily redeemable. Includes any type of security that is redeemable at a fixed or determinable price or on a fixed or determinable date or dates, is redeemable at the option of the holder, or has conditions for redemption which are not solely within the control of the issuer. If convertible, the issuer does not control the actions or events necessary to issue the maximum number of shares that could be required to be delivered under the conversion option if the holder exercises the option to convert the stock to another class of equity. If the security is a warrant or a rights issue, the warrant or rights issue is considered to be temporary equity if the issuer cannot demonstrate that it would be able to deliver upon the exercise of the option by the holder in all cases. Includes stock with put option held by ESOP and stock redeemable by holder only in the event of a change in control 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(27)(b))
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147480566/210-10-S99-1

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