In the insert drawing, the Nu- is water acting as a nucleophile and beginning the polymerization of the electrophilic double bond of the cyanoacrylate. The lone pair on H2O's oxygen acts as the partially negative charged nucleophile. The new partial negative charge is on the carbon alpha to the stabilizing effect of the CN, and it acts as a new nucleophile to attack another molecule of cyanoacrylate, and so on, and so on... One catalytic Nu- can become amplified by the mass of thousands of the cyanoacrylate monomer units polymerized.
The article speaks of two instances where the reaction becomes strongly exothermic- One is with NaHCO3 a mild base that will increase the nucleophilicity of adsorbed moisture- the second is cotton which can also act as a nuclephile along with its tendency to have adsorbed moisture.
Other possible nucleophiles are ammonia, or amine based epoxy catalysts. the amino acids in skin, and in sweat and skin oils from fingerprints.