Assuming you have PG 9.4 + , this should do the trick:
SELECT *
FROM checkins
JOIN (
SELECT precentile_disc(fraction/365.) WITHIN GROUP (ORDER BY created_at)
FROM checkins, generate_series(0, 365) f(fraction)
WHERE serial = ${serial} AND created_at BETWEEN ${startTimestamp} AND ${endTimestamp}
) USING (created_at)
ORDER BY created_at DESC;
percentile_disc() , . generate_series() [0., 0.004, 0.008, ..., 1.]. ( created_at, ) checkins .
PG "" :
SELECT *
FROM (
SELECT *, rank() OVER (ORDER BY created_at) AS rnk
FROM checkins
WHERE serial = ${serial} AND created_at BETWEEN ${startTimestamp} AND ${endTimestamp}
) sub
WHERE rnk % extract(day from ${endTimestamp} - ${startTimestamp}) = 1
ORDER BY created_at;
1 startTimestamp endTimestamp, , , 365 .