Some embodiments provide a method for a parser of a processing pipeline. The method receives a packet for processing by a set of match-action stages of the processing pipeline. The method stores packet header field (PHF) values from a first set of PHFs of the packet in a set of data containers. The first set of PHFs are for use by the match-action stages. For a second set of PHFs not used by the match-action stages, the method generates descriptive data that identifies locations of the PHFs of the second set within the packet. The method sends (i) the set of data containers to the match-action stages and (ii) the packet data and the generated descriptive data outside of the match-action stages to a deparser that uses the packet data, generated descriptive data, and the set of data containers as modified by the match-action stages to reconstruct a modified packet.