According to Steve Jobs' death certificate, issued Monday by the Santa Clara County Public Health Department, respiratory arrest brought on by a "metastatic pancreas neuroendocrine tumor" was the official cause of the Apple co-founder's death on October 5, Bloomberg News reported.
In a statement issued October 5, Jobs' family did not specify the cause of death, but noted that Jobs "died peacefully today surrounded by his family."
Jobs had battled with his illness for several years and the AP notes that Jobs "lived more than seven years after being diagnosed with a neuroendocrine tumor –- a less common, slower-growing and more treatable type of pancreatic cancer."
Jobs first publicly disclosed his health problems in 2004, the same year he underwent surgery to remove a tumor from his pancreas and took a medical leave of absence. He had a liver transplant in 2009 and took a second medical leave of absence that year, then another this year.
Jobs resigned as Apple's CEO in August as his health continued to deteriorate.
"I have always said if there ever came a day when I could no longer meet my duties and expectations as Apple's CEO, I would be the first to let you know," wrote Jobs in the letter announcing his resignation. "Unfortunately, that day has come."
The Wall Street Journal reported Friday that Jobs' funeral, described as a "small private gathering," had been held that same day.
"Like many of you, I have experienced the saddest days of my lifetime and shed many tears during the past week," Cook wrote, according to Reuters. "And I've found comfort in both telling and listening to stories about Steve."
To see how Apple fans are honoring and remembering Jobs, take a look at the slideshow (below) of photos taken during memorials held around the world.
CORRECTION: A previous version of this article included statistics about the survival rates for pancreatic cancer. Jobs suffered from neuroendocrine tumor in his pancreas. According to Memorial Sloan-Kettering Cancer Center, "Only 5 percent of pancreatic tumors arise in the islet cells. The vast majority of tumors found in the pancreas are adenocarcinoma, which is more commonly referred to as pancreatic cancer."