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Warrants - Schedule of Outstanding Warrants (Details) - $ / shares | 9 Months Ended |
--- | --- | ---
Sep. 30, 2025 | Dec. 31, 2024
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 6,188,021 | 5,081,466
Weighted average exercise price (in dollars per share) | $ 4.69 | $ 3.85
Weighted Average Remaining Contractual Life (years) | 4 years |
Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 4.69 |
Elicio Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 144,814 |
Weighted Average Remaining Contractual Life (years) | 3 years 8 months 12 days |
Elicio Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 53.59 |
Angion Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 3,950 |
Weighted Average Remaining Contractual Life (years) | 2 years 10 months 24 days |
Angion Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 76.00 |
March 2024 Pre-Funded Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 1,032,702 |
March 2024 Pre-Funded Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 0.01 |
July 2024 Pre-Funded Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 1,600,000 |
July 2024 Pre-Funded Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 0.01 |
July 2024 Common Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 2,041,500 |
Weighted Average Remaining Contractual Life (years) | 3 years 9 months 18 days |
July 2024 Common Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 5.00 |
January 2025 Common Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 1,261,830 |
Weighted Average Remaining Contractual Life (years) | 4 years 3 months 18 days |
January 2025 Common Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 7.80 |
June 2025 Common Warrants |  |
Class of Warrant or Right [Line Items] |  |
Number of warrants outstanding (in shares) | 103,225 |
Weighted Average Remaining Contractual Life (years) | 4 years 8 months 12 days |
June 2025 Common Warrants | Weighted Average |  |
Class of Warrant or Right [Line Items] |  |
Weighted average exercise price (in dollars per share) | $ 7.75 |

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- 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
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