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Net Loss Per Share
3 Months Ended
Mar. 31, 2024
Earnings Per Share [Abstract]  
Net Loss Per Share
(13) Net Loss Per Share

Basic net loss per share is calculated by dividing net loss attributable to 3D Systems’ Common Stock stockholders by the weighted average number of shares of Common Stock outstanding during the applicable period. Diluted loss per share incorporates the additional shares issuable upon the assumed exercise of stock options, the vesting of restricted stock and RSUs, and the assumed conversion of debt, except in such case when (1) the inclusion of such shares or potential shares would be anti-dilutive or (2) when the vesting of restricted stock or RSUs is contingent upon one or more performance conditions that have not been met as of the balance sheet date.

Three Months Ended
(in thousands, except per share amounts)March 31, 2024March 31, 2023
Numerator for basic and diluted net loss per share:
Net loss attributable to 3D Systems Corporation
$(16,001)$(29,421)
Redeemable non-controlling interest redemption value in excess of carrying value(75)(88)
Net loss attributable to common stock shareholders
$(16,076)$(29,509)
Denominator for net loss per share:
Weighted average shares outstanding – basic and diluted(1)
130,820 129,158 
Net loss per share – basic and diluted
$(0.12)$(0.23)

(1) Equity awards are deemed anti-dilutive for the three months ended March 31, 2024 and 2023 because we reported a net loss for these periods.

The following table presents the potentially dilutive shares that have been excluded from the computation of diluted net loss per share attributable to Common Stock stockholders because their effect is considered anti-dilutive for the three months ended March 31, 2024 and 2023, respectively.
Three Months Ended
(in thousands)March 31, 2024March 31, 2023
Restricted stock and restricted stock units5,006 4,177 
Stock options420 420 
Total5,426 4,597 

For the three months ended March 31, 2024, the table above excludes the following: (1) an estimate of 166 shares that are contingently issuable under the dp polar earnout arrangement and (2) an estimate of 324 shares for the payment of accrued incentive compensation that is expected to be settled in shares (Refer to Note 11). This share estimate is based on the liabilities recorded at March 31, 2024 for the fiscal year 2024 incentive compensation arrangement, divided by the Company's year-to-date average share price of $4.92 per share. As of March 31, 2024, there are no contingently issuable shares related to the Volumetric earnout arrangement discussed in Note 11.

For the three months ended March 31, 2023, the table above excludes the following: (1) an estimate of 1,041 shares contingently issuable upon the achievement of certain milestones in the Volumetric earnout arrangement discussed in Note 11 and (2) an estimate of 466 shares for the payment of accrued incentive compensation that is expected to be settled in shares. These share estimates are based on the aggregate liabilities recorded at March 31, 2023 for the Volumetric earnout arrangement, the fiscal year 2022 and fiscal year 2023 incentive compensation arrangements, and the dp polar earnout arrangement, divided by the Company's year-to-date average share price of $10.19 per share. The table above also excludes an estimate of 53 shares that are contingently issuable under the dp polar earnout arrangement discussed in Note 11.

The Company previously issued 0% Convertible Senior Notes due November 15, 2026, as discussed in Note 9. The Notes’ impact to diluted weighted average shares outstanding is required to be calculated using the if-converted method as prescribed in ASC 260. The Notes will increase the diluted weighted average shares outstanding when the average share price over a quarterly or annual reporting period is greater than $35.92 per share, the conversion price of the Notes. For the three months ended March 31, 2024 and 2023, the Notes were anti-dilutive on a stand-alone basis because the average share price during these periods did not exceed the conversion price, and because we reported a net loss for each of the respective periods.