What were some of the signs that were given to Penelope that Odysseus was still alive?

Penelope received several signs that suggested Odysseus was still alive, including the arrival of the beggar, who was actually Odysseus in disguise. He recounted tales of his adventures and described their bed, revealing intimate knowledge only Odysseus would possess. Additionally, she received news from Telemachus, who had been searching for his father and encountered various allies who confirmed Odysseus's ongoing journey. These signs rekindled her hope and determination to wait for his return.