Fred's answer: "The water in the bottle, taken all as a unit/system, has not released all of its latent heat of fusion (see
Enthalpy of fusion - Wikipedia, the free encyclopedia) and needs to release just a tiny amount so that all of it becomes a solid. As you can see in the video the water in the bottle remains as a mixture of water in liquid and solid/crystal form. That's because most of the latent heat of fusion had been lost, but not all. The vibration on the bottle caused most water molecules (which were ready to enter into the solid phase), to release the tiny amount of heat that wold allow them to join other water molecules into crystals. Therefore, most of the water turned to ice and the small amount of water remaining took the heat released from the crystal forming molecules and stayed liquid, still at 0 Celsius. If the bottle had been left alone long enough it would have solidified eventually when all of the liquid water had released its latent heat of fusion. The fact that the water is filtered helps delay the onset of crystallization by removing potential nucleation centers."