The IRS says
Boxes 14–19. State and Local Information
These boxes and Copies 1 and 2 are provided for your convenience only and need not be completed for the IRS. Use the state and local information boxes to report distributions and taxes for up to two states or localities. Keep the information for each state or locality separated by the broken line. If state or local income tax has been withheld on this distribution, you may enter it in boxes 14 and 17, as appropriate. In box 15, enter the abbreviated name of the state and the payer's state identification number. The state number is the payer's identification number assigned by the individual state. In box 18, enter the name of the locality. In boxes 16 and 19, you may enter the amount of the state or local distribution. Copy 1 may be used to provide information to the state or local tax department. Copy 2 may be used as the recipient's copy in filing a state or local income tax return.
For Wisconsin, see Publication 117. It does not require that the State information has to be provided if there was no state withholding.
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