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The Collaborative International Dictionary
Pitching piece

Pitching \Pitch"ing\, n.

  1. The act of throwing or casting; a cast; a pitch; as, wild pitching in baseball.

  2. The rough paving of a street to a grade with blocks of stone.
    --Mayhew.

  3. (Hydraul. Eng.) A facing of stone laid upon a bank to prevent wear by tides or currents.

    Pitching piece (Carp.), the horizontal timber supporting the floor of a platform of a stairway, and against which the stringpieces of the sloping parts are supported.

Wiktionary
pitching piece

n. (context carpentry English) The horizontal timber supporting the floor of a platform of a stairway, and against which the stringpieces of the sloping parts are supported.