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Intangible Assets, net | 9 Months Ended
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Sep. 30, 2025
Intangible Assets, Net (Excluding Goodwill) [Abstract] |
Intangible Assets, net | Intangible Assets, net Intangible assets, net as of September 30, 2025 and December 31, 2024 consist of the following:
|  |  | As of September 30, 2025 |  | As of December 31, 2024
(In thousands) | Useful Life (in years) |  | Gross Carrying Amount |  | Accumulated Amortization |  | Gross Carrying Amount |  | Accumulated Amortization
Acquired technology | 6 |  | $ | 3,100 |  |  | $ | 172 |  |  | $ | — |  |  | $ | — |
Customer relationships | 5 to 12 |  | 36,506 |  |  | 30,418 |  |  | 34,653 |  |  | 28,091 |
Patents, trademarks, and other | 10 to 20 |  | 13,468 |  |  | 12,501 |  |  | 13,356 |  |  | 12,437 |
Total |  |  | $ | 53,074 |  |  | $ | 43,091 |  |  | $ | 48,009 |  |  | $ | 40,528 |
Amortization expense was $0.7 million and $2.0 million for the three and nine months ended September 30, 2025 respectively, compared to $0.6 million and $2.0 million for the three and nine months ended September 30, 2024 respectively. There was no cost of sales amortization expense for the three and nine months ended September 30, 2025, Amortization expense includes cost of sales amortization expense of $0 and $0.2 million for the three and nine months ended September 30, 2024 respectively, directly related to delivering cloud subscription revenue. Costs are recorded in "Services and other cost of goods sold" on the condensed consolidated statements of operations. Certain intangible assets are denominated in functional currencies besides the U.S. Dollar and are subject to currency fluctuations. In connection with the continued execution of cost reductions, the Company decided to stop any incremental development investments supporting its previously acquired blockchain technology and related commercial effor ts (see Note 18, Restructuring and Other Related Charges). This asset contributed no revenue as it was still in its investment stage. As a result, the Company wrote-off $0.8 million that is recorded in "Services and other cost of goods sold" on the condensed consolidated statements of operations for the nine months ended September 30, 2024. There was no impairment of intangible assets recorded during the nine months ended September 30, 2025 and 2024.

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