Advanced Ghost Tech Hidden at Journey End
Phasing as a method of storage:

The Stasis Beds:

A stasis bed isn't anything like cryogenics as it operates by shifting the contents of the bed out of phase with reality much like a Warp Junction or Transit Gate where time stands still in the phased state yet unlike a Warp or Transit Gate, the state can be created in small defined areas by any of the Energy Crystal such as Warp, Power or Plasma Crystal when used as a power source.  The trick is to find the resonance and phase the area in the bed slightly.  The problem with this process is that living beings cannot handle this Phased state for more than a few months before their cells start breaking down.  This has caused the Phasing process to be mainly used for short term medical use to stop time for the critically wounded until they can be treated.

The Stasis Bed was first invented by the CTC scientists during the first bloom in Crystal Technology as such is known and still used by the Human Corridors as a standard piece of emergency medical equipment.  They also use a large version for shipping live animal cargo between Corridors.

Ghost adaptations to the Phasing Tech:

While the Human Corridors did little experimentation due to all the governments preferring their populations fairly stagnant and pliable the Ghosts trapped in Sol with the Hives as an ever present danger to their existence were uniquely motivated to perfect much of the Crystal Tech already known to the CTC before Exodus and in many cases go beyond.  Being Psicons they also perfected Psi adaptation of a lot of that Crystal Technology.  Perhaps the most spectacular of these was the intense study of Phasing Tech which enabled them to bring it to unheard of levels of practicality in their desperation to survive yet at the same time enable them to take as much of Terra's Legacy with them when they left.

Without their advance Phasing Tech they would have had to abandon much of the Legacy they wanted to save due to space limitations as food stores and other necessities would have taken priority.

Phase Storage:

The Ghost have taken the Phasing Technology much further than the CTC ever did, while a stasis bed is only partially out of Phase with normal time and space so takes up the same amount of space as they did in normal Phase, by adjusting the resonance and adding a more powerful power source usually Power augmented by Plasma or straight out Warp if available, the Ghost Scientists discovered you could completely phase an object and thereby use the same storage space for two different things, over time they discovered that Phasing used the empty space making up atoms and the number of levels obtained depended on the matter used, similar atoms eg same elements tried to occupy the same space but the differece between wood and metal created more levels of storage using the same space, basically you could use different Phase resonance levels to create different storage levels as long not to much of it was alike on an atomic level. 

The process was both similar and different to the way you could limit what a Plasma Knife will effect, but even with this storage method their was only so much space that could be used the greatest number of levels obtained was twenty-one after that it would destabilise and create a great big mess as all the levels attempted to regain their true resornance and use the same space thankfully the threat of atomic meltdown was not a problem as theorised but a ship could be shattered from the internal pressure as twenty one levels of matter occupying the same space attempted to become solid again.

This method of storage was in their favour when they reached the Human Corridors as much of the Legacy was completely out of sight and unsuspected by any visitors to the ships.

21 Levels of storage for each Cargo Hold on Journey:
Level  Zero - The Base non Phased cargo hold is also full but usually and holds supplies normally in use on a daily basis by the ship.
Level I -Inorganic permanent Store for Legacy on Journey
Level II - Inorganic Store for resources for Journey
Level III - Furniture Level where most of the Legacy Furniture was stored
Level IV - Paintings, Tapestries and other more delicate mixed media Legacy
Level V - Dried Food Storage
Level VI - Grain Storage & Nut Storage
Level VII - Clothing - ready made clothing, plus raw supplies to make more
Level VIII - Frozen Meat, Vegetable and Fruit Storage
Level IIX - Cold Storage
Level IX - Root vegetable and preserved storage including hard cheeses
Level X -Liquid Storage such as alcohol, oils and fruit syrups and cordials

Level XI to XX - dedicated to the Ship specialty storage, machinery, Crystal Tech and gardening supplies and food for any animals aboard.

Human Quarters and other vital infrastructure were non phased for safety reasons and the legacy data Archive was also kept unphased as Phasing can corrupt the data on Data Crystal over time raw Crystal and Comp-nets are not affected the first because it has no data to corrupt and the second because it is protected by the human brain to some extent.

The Human Gene banks as well as the seed and animal embryo banks were also kept unphased also for safety reasons as they were living viable resources they didn't want to take chances with.

Another main storage place was the Hull and internal walls of a ship while each layer of the hull at the non Phased level was full of rubble, wood and insulation with diffent resonances to deter Hive Boarding and the internal walls were full of insulation they could also use that space for storage as well using their Phase storage during a boarding they could shift between levels and contents to further delay the Hives finding the proper cutting frequency to board in this fashion both hull and internal walls became a defense in an of themselves.