This is an extract from
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HP-UX 11i is the UNIX® operating environment (OE) that powers e-services and HP-UX servers on both PA-RISC and Itanium™ processor families.
Elsewhere -
HP-UX 11i is the latest release of HP-UX for PA architecture, and was released in December 2000. It is a major release, and the direct descendant of the HP-UX Extension Packs.
Basically 11i refers to version 11.11 of HP-UX and it is direct decendant of HP-UX 11.00.
As per the release history of HPUX
11.00 11-1997 64-bit OS, DLKM, iCOD, CDE 2.1
11.10 03-2000 SCA, JFS 3.3, 128-CPU, AutoFS, new ftpd
11.11 06-2000 OEs, SuperDome, IO board OLAR, dynamic tunables, TCP NFS, etc
Hope it helps.