The first thing to notice on the '13 Hole' Postcard is the crucifix and number 13 in close alliance - extremely relevant when we consider the Zodiac Killer using the phrase "I shall (on top of everything else) torture all 13 of my slaves that I have waiting for me in Paradice" in the Little List Letter. The crucifix, a symbol of Christianity and the progression from life on earth to the paradise of heaven, is further cemented by the October 27th 1970 Halloween Card where the Zodiac Killer actually combines all three elements. However, if you are also a skeptic of the Halloween Card, then we need to focus entirely on finding a link between the '13 Hole' Postcard and the previously unpublished Little List Letter, both eventually released in tandem with one another on October 12th 1970 in a newspaper article by Paul Avery. Below I have separated the Little List Letter into its constituent parts - his promise of torture, his methods of torture and the search for victims.
 Some I shall tie over ant hills and watch them scream + twich and sqwirm. Others shall have pine splinters driven under their nails + then burned. Others shall be placed in cages + fed salt beef untill they are gorged then I shall listen to their pleass for water and I shall laugh at them. Others will hang by their thumbs + burn in the sun then I will rub them down with deep heat to warm them up. Others I shall skin them alive + let them run around screaming. And all billiard players I shall have them play in a darkened dungen cell with crooked cues + Twisted Shoes. Yes I shall have great fun inflicting the most delicious of pain to my slaves.
The Mikado/Act I/Part Va - As Some Day it May Happen
 As some day it may hapen that a victom must be found. I've got a little list. I've got a little list, of society offenders who might well be underground who would never be missed who would never be missed.
The Zodiac Killer is effectively saying that he had now tortured his victims in paradice and "some of them had fought". He is telling Paul Avery and the San Francisco Chronicle newspaper he had made good on his promises. This strongly suggests that the author of the '13 Hole' Postcard knew the contents of the July 26th 1970 Little List Letter, thereby cementing the notion that the Zodiac Killer was the author of both communications. The alternative, is that a copycat just threw together a random postcard that not only continued the theme of the previous letter accidentally, but was adopted by the Zodiac Killer in the October 27th 1970 Halloween Card and the following March 13th 1971 letter, where the Zodiac Killer stated "This is the Zodiac speaking Like I have allways said, I am crack proof". The copycat scenario proliferated by many, a sensational subplot to discredit certain Zodiac communications and attacks, where no merit for such claims exist.
The other notable element of the '13 Hole' Postcard is the Mon, Oct 5, 1970 attribution in the top right corner. The Zodiac Killer did recite the Gilbert & Sullivan Act As Some Day it May Happen. So was Monday, October 5th the day something happened - and the reason he added a specific date for the very first time?