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Income taxes: (Tables)
12 Months Ended
Dec. 31, 2025
Income taxes:  
Schedule of the components of (loss) income before income taxes

The components of (loss) income before income taxes consist of the following (in thousands):

Years Ended December 31, 

  ​ ​ ​

2025

  ​ ​ ​

2024

  ​ ​ ​

2023

Domestic

$

(244,571)

$

(257,523)

$

1,217,084

Foreign

(394)

(2,126)

2,393

Total (loss) income before income taxes

$

(244,965)

$

(259,649)

$

1,219,477

Schedule of income tax benefit (expense)

The income tax benefit (expense) is comprised of the following (in thousands):

Years Ended December 31, 

  ​ ​ ​

2025

  ​ ​ ​

2024

  ​ ​ ​

2023

Current:

Federal

$

$

$

(3,638)

State

(1,161)

4,620

(11,868)

Foreign

(649)

(351)

(203)

Deferred:

Federal

47,887

54,859

53,393

State

17,894

(3,143)

16,086

Foreign

(1,180)

(410)

194

Total income tax benefit (expense)

$

62,791

$

55,575

$

53,964

Schedule of net deferred tax assets

Our consolidated temporary differences comprising our net deferred tax assets are as follows (in thousands):

December 31, 

  ​ ​ ​

2025

  ​ ​ ​

2024

Deferred Tax Assets:

Net operating loss carry-forwards

$

290,219

$

236,346

Interest expense limitation

86,577

66,386

Accrued liabilities and other

550

8,584

Operating leases

87,029

98,261

Total gross deferred tax assets

464,375

409,577

Valuation allowance

(148,055)

(131,773)

316,320

277,804

Deferred Tax Liabilities:

Property & equipment

298,991

308,254

Intangibles

116,087

113,596

Deferred consideration – IP Transit Services Agreement

43,261

63,070

Investment in foreign subsidiaries

107,267

95,974

Right-of-use assets

84,008

95,176

Gross deferred tax liabilities

649,614

676,070

Net deferred tax liabilities

$

333,294

$

398,266

Schedule of reconciliation of the Federal statutory income taxes to the amounts reported in the financial statements

The following is a reconciliation of the Federal statutory income taxes to the amounts reported in the financial statements for the years ended December 31, 2023 and 2024 (in thousands), prior to the adoption of ASU 2023-09.

December 31, 

December 31, 

  ​ ​ ​

2024

  ​ ​ ​

2023

Federal income tax expense at statutory rates

$

54,381

$

(256,086)

Effect of:

State income taxes, net of federal benefit

 

1,587

3,722

Impact of foreign operations

 

(1,602)

868

Non-deductible expenses

 

(2,713)

(2,783)

Bargain purchase gain - Cogent Fiber Business acquisition

4,662

295,351

Tax effect of TCJA from foreign earnings

 

(490)

Changes in valuation allowance

 

(740)

13,382

Income tax benefit (expense)

$

55,575

$

53,964

The following is a tabular rate reconciliation disaggregated into specified categories with certain reconciling items further broken out by nature and jurisdiction to the extent those items exceed a specified threshold as defined under ASU 2023-09 for the year ended December 31, 2025 (in thousands).

  ​ ​ ​

December 31, 2025

Benefit for income taxes at U.S. federal statutory rate

$

51,476

%  

21.0

Effect of:

 

  ​

U.S. State and local income taxes, net of federal benefit *

 

17,114

7.1

Foreign tax effects

 

(2,004)

(0.5)

Effect of cross-border tax laws

 

(1,565)

(1.0)

Non-deductible expenses

 

(2,230)

(1.0)

Total tax benefit and effective tax rate

$

62,791

%  

25.6

*State taxes in California, Kansas and Illinois for 2025 make up the majority (greater than 50%) of the tax effect in this category.

Schedule of income tax paid, net of refunds

The following is a detail of cash paid for income taxes (net of any refunds) for the year ended December 31, 2025 by jurisdiction under ASU 2023-09 (in thousands):

  ​ ​ ​

December 31,

2025

U.S. Federal

$

1,122

U.S. State and local

State of California

(865)

State of Texas

 

347

State of Georgia

 

(376)

New York City

 

(899)

Other jurisdictions

 

(392)

Foreign jurisdictions

404

Total income taxes paid (refunded)

$

(659)