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    LVWR

    LiveWire Group, Inc.

    Company overview

    Market capitalization
    —
    Employees
    151
    Latest publication
    2026-09-29
    About LiveWire Group, Inc.

    LiveWire Group, Inc. manufactures and sells electric motorcycles in the United States, Austria, and internationally. The company operates in two segments, Electric Motorcycles and STACYC. It designs and sells electric motorcycles and parts, accessories, and apparel; electric balance bikes for kids; and adult pedal assist electric bikes. The company sells its products to wholesale, independent dealers and retailers, and independent distributors, as well as direct to consumers online. It offers its products under the LiveWire brand name. The company was founded in 2010 and is based in Milwaukee, Wisconsin. LiveWire Group, Inc. is a subsidiary of Harley-Davidson, Inc.

    Company website

    Financial statements

    Income Quarterly

    Exact reported values; units shown beside each amount. Missing values are —.
    MetricQ2 20262026-06-30 · USDQ4 20202020-12-31 · USD
    Total Revenue9,115,000USD-5,016,000USD
    Cost Of Revenue9,161,000USD18,217,000USD
    Gross Profit-46,000USD-23,233,000USD
    Selling General Administrative17,968,000USD—
    Total Operating Expenses17,968,000USD18,611,000USD
    Operating Income-18,014,000USD-41,844,000USD
    Total Other Income Expense Net-123,000USD-77,000USD
    Interest Expense1,454,000USD—
    Income Before Tax-18,137,000USD-41,921,000USD
    Income Tax Expense76,000USD194,000USD
    Net Income-18,213,000USD-42,115,000USD
    Research Development—10,583,000USD
    Unclassified Operating Expenses—8,028,000USD
    Ebit—-41,056,000USD
    Ebitda—-40,037,000USD
    Depreciation And Amortization—1,019,000USD
    Net Income Applicable To Common Shares—-42,115,000USD
    SourceDisclosureDeterministicFinalLegacy providerLegacy

    Balance sheet Quarterly

    Exact reported values; units shown beside each amount. Missing values are —.
    MetricQ2 20262026-06-30 · USDQ1 20262026-03-31 · USDQ4 20252025-12-31 · USDQ3 20252025-09-30 · USDQ2 20252025-06-30 · USDQ1 20252025-03-31 · USDQ4 20242024-12-31 · USDQ3 20242024-09-30 · USD
    Total Assets117,943,000USD127,623,000USD146,411,000USD89,220,000USD109,770,000USD128,254,000USD147,960,000USD178,298,000USD
    Cash And Equivalents52,869,000USD———————
    Total Current Assets75,703,000USD87,800,000USD104,887,000USD46,258,000USD64,913,000USD81,616,000USD98,361,000USD127,374,000USD
    Other Current Assets4,200,000USD2,960,000USD2,887,000USD3,566,000USD3,646,000USD3,281,000USD2,709,000USD3,363,000USD
    Other Non Current Assets3,481,000USD———————
    Total Liabilities106,022,000USD———————
    Total Current Liabilities18,208,000USD20,455,000USD22,673,000USD24,057,000USD27,241,000USD28,599,000USD29,854,000USD35,942,000USD
    Other Current Liabilities11,417,000USD———————
    Total Stockholder Equity11,921,000USD28,316,000USD46,028,000USD61,801,000USD79,684,000USD97,194,000USD115,115,000USD137,657,000USD
    Total Equity Including Noncontrolling Interest11,921,000USD———————
    Short Long Term Debt0USD—800,000USD—————
    Long Term Debt76,818,000USD74,185,000USD74,183,000USD—————
    Inventory13,621,000USD14,225,000USD15,255,000USD22,865,000USD27,608,000USD28,491,000USD26,942,000USD33,358,000USD
    Property Plant Equipment Net26,110,000USD27,210,000USD28,379,000USD29,516,000USD31,065,000USD32,546,000USD34,777,000USD35,828,000USD
    Goodwill8,619,000USD———————
    Intangible Assets4,025,000USD741,000USD804,000USD868,000USD931,000USD995,000USD1,058,000USD1,122,000USD
    Short Term Debt212,000USD240,000USD1,296,000USD542,000USD345,000USD351,000USD394,000USD512,000USD
    Common Stock21,000USD21,000USD20,000USD20,000USD20,000USD20,000USD20,000USD20,000USD
    Retained Earnings-337,368,000USD-319,155,000USD-301,027,000USD-283,405,000USD-264,010,000USD-245,184,000USD-225,913,000USD-203,131,000USD
    Accumulated Other Comprehensive Income-30,000USD-17,000USD-17,000USD-8,000USD-7,000USD-3,000USD12,000USD-2,000USD
    Total Liab—99,307,000USD100,383,000USD27,419,000USD30,086,000USD31,060,000USD32,845,000USD40,641,000USD
    Other Current Liab—9,693,000USD11,700,000USD13,491,000USD11,407,000USD11,307,000USD16,923,000USD19,064,000USD
    Capital Stock—21,000USD20,000USD20,000USD20,000USD20,000USD20,000USD20,000USD
    Good Will—8,327,000USD8,327,000USD8,327,000USD8,327,000USD8,327,000USD8,327,000USD8,327,000USD
    Cash—67,495,000USD82,777,000USD16,324,000USD29,316,000USD46,222,000USD64,437,000USD88,442,000USD
    Cash And Short Term Investments—67,495,000USD82,777,000USD16,324,000USD29,316,000USD46,222,000USD64,437,000USD88,442,000USD
    Net Debt—7,295,000USD-7,052,000USD-15,447,000USD-28,333,000USD-45,097,000USD-63,638,000USD-87,439,000USD
    Short Long Term Debt Total—74,790,000USD75,725,000USD877,000USD983,000USD1,125,000USD799,000USD1,003,000USD
    Net Receivables—3,120,000USD3,968,000USD3,503,000USD4,343,000USD3,622,000USD4,273,000USD2,211,000USD
    Accounts Payable—10,522,000USD9,015,000USD10,024,000USD15,489,000USD16,941,000USD11,500,000USD16,366,000USD
    Property Plant Equipment Gross—27,210,000USD60,422,000USD29,516,000USD31,065,000USD32,546,000USD59,849,000USD35,828,000USD
    Common Stock Shares Outstanding—204,491,000shares204,073,000shares203,771,000shares203,589,000shares203,480,000shares203,301,000shares203,250,000shares
    Non Current Assets Total—39,823,000USD41,524,000USD42,962,000USD44,857,000USD46,638,000USD49,599,000USD50,924,000USD
    Non Current Liabilities Total—78,852,000USD77,710,000USD3,362,000USD2,845,000USD2,461,000USD2,991,000USD4,699,000USD
    Non Current Liabilities Other—2,626,000USD1,231,000USD681,000USD513,000USD908,000USD919,000USD908,000USD
    Non Currrent Assets Other—3,539,000USD4,008,000USD4,236,000USD4,503,000USD4,758,000USD5,430,000USD5,641,000USD
    Net Working Capital—67,345,000USD82,214,000USD22,201,000USD37,672,000USD53,017,000USD68,507,000USD91,432,000USD
    Unclassified Non Current Liabilities—2,041,000USD2,296,000USD2,681,000USD2,332,000USD1,553,000USD2,072,000USD3,791,000USD
    Unclassified Equity—347,446,000USD347,032,000USD345,174,000USD343,661,000USD342,341,000USD340,976,000USD340,750,000USD
    Current Deferred Revenue——662,000USD———174,000USD—
    SourceDisclosureDeterministicFinalLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacy

    Balance sheet Yearly

    Exact reported values; units shown beside each amount. Missing values are —.
    MetricFY 20252025-12-31 · USDFY 20242024-12-31 · USDFY 20232023-12-31 · USDFY 20222022-12-31 · USDFY 20212021-12-31 · USDFY 20202020-12-31 · USDFY 20192019-12-31 · USD
    Total Assets146,411,000USD147,960,000USD266,147,000USD351,805,000USD61,952,000USD51,740,000USD45,210,000USD
    Intangible Assets804,000USD1,058,000USD1,347,000USD1,809,000USD2,271,000USD2,733,000USD3,195,000USD
    Other Current Assets2,887,000USD2,709,000USD3,004,000USD4,625,000USD3,556,000USD225,000USD247,000USD
    Total Liab100,383,000USD32,845,000USD60,284,000USD45,005,000USD42,027,000USD49,717,000USD23,413,000USD
    Total Stockholder Equity46,028,000USD115,115,000USD205,863,000USD306,800,000USD19,925,000USD2,023,000USD21,797,000USD
    Other Current Liab11,700,000USD16,923,000USD20,396,000USD19,828,000USD15,192,000USD26,870,000USD10,390,000USD
    Common Stock20,000USD20,000USD20,000USD20,000USD19,780,000USD1,793,000USD21,803,000USD
    Capital Stock20,000USD20,000USD20,000USD20,000USD0USD——
    Retained Earnings-301,027,000USD-225,913,000USD-131,988,000USD-22,438,000USD0USD-57,889,751USD—
    Good Will8,327,000USD8,327,000USD8,327,000USD8,327,000USD8,327,000USD8,327,000USD8,327,000USD
    Cash82,777,000USD64,437,000USD167,904,000USD265,240,000USD2,668,000USD2,401,000USD1,054,000USD
    Cash And Short Term Investments82,777,000USD64,437,000USD167,904,000USD265,240,000USD2,668,000USD2,401,000USD1,054,000USD
    Total Current Assets104,887,000USD98,361,000USD210,727,000USD301,930,000USD29,917,000USD28,188,000USD21,909,000USD
    Total Current Liabilities22,673,000USD29,854,000USD46,266,000USD34,443,000USD28,014,000USD34,877,000USD17,059,000USD
    Current Deferred Revenue662,000USD174,000USD214,000USD163,000USD1,644,000USD149,000USD—
    Net Debt-6,806,000USD-63,638,000USD-165,960,000USD-262,015,000USD6,703,000USD2,594,000USD640,000USD
    Short Term Debt1,296,000USD394,000USD1,152,000USD1,312,000USD1,249,000USD1,575,000USD1,085,000USD
    Short Long Term Debt800,000USD———103,000USD1,049,000USD—
    Short Long Term Debt Total75,971,000USD799,000USD1,944,000USD3,225,000USD9,371,000USD4,995,000USD1,694,000USD
    Long Term Debt74,183,000USD———5,699,000USD3,420,000USD—
    Net Receivables3,968,000USD4,273,000USD7,697,000USD2,850,000USD6,896,000USD4,746,000USD6,377,000USD
    Inventory15,255,000USD26,942,000USD32,122,000USD29,215,000USD16,797,000USD20,816,000USD14,231,000USD
    Accounts Payable9,015,000USD11,500,000USD23,925,000USD12,788,000USD9,011,000USD6,432,000USD5,584,000USD
    Property Plant Equipment Net28,379,000USD34,777,000USD39,550,000USD34,695,000USD21,365,000USD12,372,000USD11,779,000USD
    Property Plant Equipment Gross60,422,000USD59,849,000USD56,672,000USD31,567,000USD30,753,000USD17,600,000USD—
    Accumulated Other Comprehensive Income-17,000USD12,000USD17,000USD0USD145,000USD230,000USD-6,000USD
    Common Stock Shares Outstanding203,730,000shares203,206,000shares202,504,000shares172,003,000shares161,000,000shares202,402,888shares161,000,000shares
    Non Current Assets Total41,524,000USD49,599,000USD55,420,000USD49,875,000USD32,035,000USD23,552,000USD23,301,000USD
    Non Current Liabilities Total77,710,000USD2,991,000USD14,018,000USD10,562,000USD14,013,000USD14,840,000USD6,354,000USD
    Non Current Liabilities Other1,231,000USD919,000USD814,000USD246,000USD5,705,000USD11,214,000USD—
    Non Currrent Assets Other4,008,000USD5,430,000USD6,192,000USD5,044,000USD-1USD120,000USD-23,301,000USD
    Net Working Capital82,214,000USD68,507,000USD164,461,000USD267,487,000USD1,903,000USD-6,689,000USD—
    Unclassified Non Current Liabilities2,296,000USD2,072,000USD13,204,000USD1,652,000USD-3,282,000USD-11,214,000USD—
    Unclassified Equity347,032,000USD340,976,000USD337,794,000USD329,198,000USD—57,889,751USD—
    Other Assets——1USD5,044,000USD72,000USD120,000USD—
    Deferred Long Term Liab———15,000USD———
    Other Liab———8,649,000USD5,891,000USD11,420,000USD5,745,000USD
    Net Tangible Assets———306,800,000USD9,327,000USD-9,037,000USD10,275,000USD
    Unclassified Non Current Assets———-5,044,000USD———
    Unclassified Current Liabilities—————-1,198,000USD—
    SourceLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacy

    Cash flow Quarterly

    Exact reported values; units shown beside each amount. Missing values are —.
    MetricQ1 20262026-03-31 · USDQ4 20252025-12-31 · USDQ3 20252025-09-30 · USDQ2 20252025-06-30 · USDQ1 20252025-03-31 · USDQ4 20242024-12-31 · USDQ3 20242024-09-30 · USDQ2 20242024-06-30 · USD
    Net Income-18,128,000USD-17,622,000USD-19,395,000USD-18,826,000USD-19,271,000USD-22,782,000USD-22,694,000USD-24,805,000USD
    Depreciation2,415,000USD2,114,000USD2,354,000USD2,588,000USD3,085,000USD2,304,000USD2,695,000USD2,716,000USD
    Stock Based Compensation1,222,000USD1,245,000USD250,000USD1,829,000USD1,615,000USD743,000USD1,320,000USD281,000USD
    Other Non Cash Items1,349,000USD1,265,000USD2,033,000USD686,000USD-282,000USD210,000USD-1,437,000USD-1,623,000USD
    Change To Account Receivables799,000USD-594,000USD865,000USD-560,000USD638,000USD-2,266,000USD165,000USD739,000USD
    Change To Inventory698,000USD6,730,000USD3,505,000USD921,000USD-2,358,000USD4,961,000USD9,483,000USD316,000USD
    Change In Working Capital140,000USD5,066,000USD1,480,000USD-1,145,000USD-2,649,000USD-2,349,000USD-2,995,000USD-2,546,000USD
    Total Cash From Operating Activities-12,994,000USD-7,900,000USD-13,281,000USD-14,877,000USD-17,490,000USD-21,869,000USD-23,104,000USD-25,960,000USD
    Capital Expenditures-688,000USD-1,033,000USD-735,000USD-1,430,000USD-613,000USD-1,407,000USD-1,581,000USD-1,841,000USD
    Free Cash Flow-13,682,000USD-8,933,000USD-14,016,000USD-16,307,000USD-18,103,000USD-23,276,000USD-24,685,000USD-27,801,000USD
    Total Cashflows From Investing Activities-688,000USD-1,033,000USD-735,000USD-1,430,000USD-613,000USD-1,407,000USD-1,581,000USD-1,841,000USD
    Net Borrowings-800,000USD———0USD———
    Total Cash From Financing Activities-1,607,000USD75,456,000USD1,038,000USD-509,000USD-250,000USD-517,000USD0USD-221,000USD
    Sale Purchase Of Stock-807,000USD-265,000USD0USD-509,000USD-250,000USD-517,000USD0USD-221,000USD
    Change In Cash-15,282,000USD66,453,000USD-12,992,000USD-16,906,000USD-18,215,000USD-24,005,000USD-24,569,000USD-28,022,000USD
    Begin Period Cash Flow82,777,000USD16,324,000USD29,316,000USD46,222,000USD64,437,000USD88,442,000USD113,011,000USD141,033,000USD
    End Period Cash Flow67,495,000USD82,777,000USD16,324,000USD29,316,000USD46,222,000USD64,437,000USD88,442,000USD113,011,000USD
    Other Cashflows From Financing Activities-807,000USD74,813,000USD-267,000USD-509,000USD-250,000USD—-1,581,000USD-1,841,000USD
    Issuance Of Capital Stock—908,000USD——————
    Investments——-735,000USD-1,430,000USD-613,000USD-1,407,000USD-1,581,000USD-1,841,000USD
    Unclassified Financing Cash Flow——1,305,000USD———1,581,000USD1,841,000USD
    Unclassified Investing Cash Flow———1,430,000USD—1,407,000USD1,581,000USD3,682,000USD
    Other Cashflows From Investing Activities———————-1,841,000USD
    SourceLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacy

    Cash flow Yearly

    Exact reported values; units shown beside each amount. Missing values are —.
    MetricFY 20252025-12-31 · USDFY 20242024-12-31 · USDFY 20232023-12-31 · USDFY 20222022-12-31 · USDFY 20212021-12-31 · USDFY 20202020-12-31 · USDFY 20192019-12-31 · USD
    Net Income-75,114,000USD-93,925,000USD-109,550,000USD-78,938,000USD-68,292,000USD-77,572,000USD-56,517,000USD
    Depreciation10,141,000USD10,041,000USD5,832,000USD4,401,000USD4,718,000USD3,942,000USD1,755,000USD
    Stock Based Compensation4,939,000USD4,626,000USD8,926,000USD394,000USD786,000USD188,000USD105,000USD
    Other Non Cash Items3,702,000USD-5,079,000USD5,363,000USD-9,265,000USD3,259,000USD4,261,000USD8,239,000USD
    Change To Account Receivables349,000USD3,195,000USD-4,900,000USD3,563,000USD-2,205,000USD1,626,000USD-6,365,000USD
    Change To Inventory8,797,999USD-569,000USD-5,626,000USD-21,068,000USD1,563,000USD-9,604,000USD-16,335,000USD
    Change In Working Capital2,752,000USD-9,544,000USD5,893,000USD-6,148,000USD-14,988,000USD15,369,000USD-22,798,000USD
    Total Cash From Operating Activities-53,548,000USD-93,859,000USD-83,462,000USD-89,681,000USD-74,539,000USD-53,714,000USD-69,216,000USD
    Capital Expenditures-3,811,000USD-8,068,000USD-13,462,000USD-14,081,000USD-9,951,000USD-3,243,000USD-7,177,000USD
    Free Cash Flow-57,359,000USD-101,927,000USD-96,924,000USD-103,762,000USD-84,490,000USD-56,957,000USD-76,393,000USD
    Total Cashflows From Investing Activities-3,811,000USD-8,068,000USD-13,462,000USD-14,081,000USD-9,951,000USD-3,243,000USD-14,177,000USD
    Net Borrowings75,000,000USD0USD0USD15,333,000USD1,100,000USD4,033,000USD300,000USD
    Total Cash From Financing Activities75,735,000USD-1,444,000USD-412,000USD366,334,000USD84,757,000USD58,304,000USD84,447,000USD
    Sale Purchase Of Stock-1,024,000USD-1,444,000USD-1,969,000USD352,768,000USD0USD——
    Issuance Of Capital Stock2,213,000USD0USD0USD————
    Change In Cash18,340,000USD-103,467,000USD-97,336,000USD262,572,000USD267,000USD1,347,000USD1,054,000USD
    Begin Period Cash Flow64,437,000USD167,904,000USD265,240,000USD2,668,000USD2,401,000USD1,054,000USD—
    End Period Cash Flow82,777,000USD64,437,000USD167,904,000USD265,240,000USD2,668,000USD2,401,000USD1,054,000USD
    Unclassified Financing Cash Flow1,759,000USD1,444,000USD—-352,768,000USD———
    Investments—-8,068,000USD-16,124,000USD-14,081,000USD-9,951,000USD-3,243,000USD—
    Other Cashflows From Financing Activities—-1,444,000USD1,557,000USD351,001,000USD83,657,000USD54,271,000USD84,147,000USD
    Unclassified Investing Cash Flow—8,068,000USD16,124,000USD14,081,000USD9,951,000USD-396,757,000USD-7,000,000USD
    Change To Liabilities———12,640,000USD-11,064,000USD23,323,000USD6,016,000USD
    Cash And Cash Equivalents Changes———262,572,000USD———
    Other Cashflows From Investing Activities—————400,000,000USD—
    SourceLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacyLegacy providerLegacy

    Operating metrics

    No operating metrics are currently published for this company.

    Revenue breakdown

    PeriodDimensionBusiness / regionRevenueCurrencySource
    Q2 2026Quarterly · 2026-06-30GeographyInternational3,376,000USDDisclosure
    Q2 2026Quarterly · 2026-06-30GeographyUnited States5,739,000USDDisclosure
    Q1 2026Quarterly · 2026-03-31GeographyInternational1,279,000USD0001898795-26-000048
    Q1 2026Quarterly · 2026-03-31GeographyUnited States3,836,000USD0001898795-26-000048
    Q4 2025Quarterly · 2025-12-31GeographyAT437,000USDLegacy provider
    Q4 2025Quarterly · 2025-12-31GeographyInternational1,073,000USDLegacy provider
    Q4 2025Quarterly · 2025-12-31GeographyUnited States9,845,000USDLegacy provider
    FY 2025Yearly · 2025-12-31GeographyAT457,000USD0001898795-26-000028
    FY 2025Yearly · 2025-12-31GeographyInternational6,161,000USD0001898795-26-000028
    FY 2025Yearly · 2025-12-31GeographyUnited States19,054,000USD0001898795-26-000028
    Q3 2025Quarterly · 2025-09-30GeographyAT20,000USD0001898795-25-000197
    Q3 2025Quarterly · 2025-09-30GeographyInternational2,443,000USD0001898795-25-000197
    Q3 2025Quarterly · 2025-09-30GeographyUnited States3,238,000USD0001898795-25-000197
    Q2 2025Quarterly · 2025-06-30GeographyAT0USD0001898795-25-000162
    Q2 2025Quarterly · 2025-06-30GeographyInternational2,099,000USD0001898795-25-000162
    Q2 2025Quarterly · 2025-06-30GeographyUnited States3,774,000USD0001898795-25-000162
    Q1 2025Quarterly · 2025-03-31GeographyAT0USD0001898795-25-000105
    Q1 2025Quarterly · 2025-03-31GeographyInternational546,000USD0001898795-25-000105
    Q1 2025Quarterly · 2025-03-31GeographyUnited States2,197,000USD0001898795-25-000105
    Q4 2024Quarterly · 2024-12-31GeographyAT183,000USDLegacy provider
    Q4 2024Quarterly · 2024-12-31GeographyInternational1,917,000USDLegacy provider
    Q4 2024Quarterly · 2024-12-31GeographyUnited States8,660,000USDLegacy provider
    FY 2024Yearly · 2024-12-31GeographyAT1,055,000USD0001898795-26-000028
    FY 2024Yearly · 2024-12-31GeographyInternational4,165,000USD0001898795-26-000028
    FY 2024Yearly · 2024-12-31GeographyUnited States21,413,000USD0001898795-26-000028
    Q3 2024Quarterly · 2024-09-30GeographyAT19,000USD0001898795-25-000197
    Q3 2024Quarterly · 2024-09-30GeographyInternational641,000USD0001898795-25-000197
    Q3 2024Quarterly · 2024-09-30GeographyUnited States3,785,000USD0001898795-25-000197
    FY 2023Yearly · 2023-12-31GeographyAT4,585,000USD0001898795-26-000028
    FY 2023Yearly · 2023-12-31GeographyInternational2,981,000USD0001898795-26-000028
    FY 2023Yearly · 2023-12-31GeographyUnited States30,457,000USD0001898795-26-000028
    FY 2022Yearly · 2022-12-31GeographyAT4,975,000USD0001898795-25-000055
    FY 2022Yearly · 2022-12-31GeographyInternational5,602,000USD0001898795-25-000055
    FY 2022Yearly · 2022-12-31GeographyUnited States36,256,000USD0001898795-25-000055
    FY 2021Yearly · 2021-12-31GeographyAT815,000USD0001898795-24-000066
    FY 2021Yearly · 2021-12-31GeographyInternational10,358,000USD0001898795-24-000066
    FY 2021Yearly · 2021-12-31GeographyUnited States24,633,000USD0001898795-24-000066
    FY 2020Yearly · 2020-12-31GeographyInternational9,401,000USD0001898795-23-000023
    FY 2020Yearly · 2020-12-31GeographyUnited States21,462,000USD0001898795-23-000023

    Periods follow company fiscal calendars. Quarterly, annual and year-to-date amounts are shown separately. Missing values are not zero. Data may be delayed, incomplete or corrected; follow the disclosure links to verify figures.