1 and 3 should technically be "continuous" on a voltmeter because if you connect them together it forms a DC circuit (positive red and negative black). It would be like if you removed the red and black leads off your car battery and hooked a volt meter up to them, it should create a continuous circuit (don't do this on the battery in real life unless you have a really beefy voltmeter )
Also, the battery itself isn't continuous when 1 and 3 are connected and a continuity test is run. I'd imagine that if I switched to DC voltage it would show the proper 3.7 since the PERC reads it. I imagine the yellow wire is for sensing temperature. What about the white? Wish I could find a pinout or datasheet or something.