I have connected the OfficeJet H470 via USB and then Ubuntu Hardy did the setup of the print queue automatically. The correct PPD file and URI ("hp://usb/...") got chosen. The hp-toolbox lists the printer and shows the correct items on the "Tools" and "Supplies" tabs. When I choose the head alignment on the "Tools" tab the hp-toolbox shows the window for choosing the alignment pattern and the printer pulls in a sheet of paper, but it does not print anything. Instead, the lights on the power and continue buttons get flashing quickly (the printer manual tells only "Printer Error" for quickly flashing lights). I have to cancel the print job and then to power-cycle the printer. Normal printing works. The cartridges in the printer are the color cartridge and the black cartridge which came with the printer.
One update: The power, continue, and left cartridge light are quickly flashing. When pressing the resume button, these three lights are slowly flashing and after some time they start to quickly flash again.