Claiming

The act of being claimed occurs when a god acknowledges his/her demigod offspring by sending a hologram of their symbol of power to appear over their child's head.

Children of minor gods did not have their own cabins, so they were sent to live in Hermes' cabin once claimed and were probably only given small recognition due to their parent's minor status. However, as part of Percy's request to the gods, cabins are made for all of the children of the gods.

Some campers were never claimed, so they also stayed in the Hermes cabin along with the minor gods' children and the children of Hermes. This is also remedied by Percy and now all gods, whether Big Three, Olympian or minor have all claimed their demigod offspring.

It used to be that the demigods that arrived at Camp Half-Blood would end up in the Hermes' cabin once they newly arrived at camp. Now it occurs on a demigod camper's 13th birthday, anytime before it, or when they make it to Camp Half-Blood. This was Ethan Nakamura`s last wish, before he died.

Poseidon's Claiming
When Poseidon claims one of his demigod or cyclops children, a blue trident hologram appears over their head. This happened to Percy after he healed his Hellhound wounds when he dove into the small stream near the camp after he was injured. It later happened to Tyson in The Sea of Monsters after he enters Camp Half-Blood while he stood waiting in the dining pavilion of the Big House as he was being taunted by Tantalus, the substitute activities director for Chiron, while Tantalus was taunting about his Olympian godly parentage.

Aphrodite's Claiming
When Aphrodite claims her children, they are zapped and their clothes change. After that, they instantly look great (beautiful). They also glow with a pink aura. The children of Aphrodite refer to this as Aphrodite's Blessing, which goes on for a while (anything from a few days to a few weeks) and can sometimes even go back when Aphrodite wills it to, but may fade after a while. This happened to Piper while she was at the camp's bonfire in The Lost Hero.

Hephaestus' Claiming
When Hephaestus claims his demigod children, a red fiery hammer appears over their head. This happened to Leo after he arrived instantly at camp in The Lost Hero.

Zeus' Claiming
When Zeus claims his demigod children, a thunderbolt or an eagle appears over their head or some kind of lightning feat happens. This happened to Jason in The Lost Hero although he had been Jupiter (Roman)'s demigod son before at the Roman Camp Half-Blood in San Francisco, California.

Claimed Demigods

 * Percy Jackson - (The Lightning Thief)
 * Tyson - (The Sea of Monsters)
 * Chris Rodriguez - (After The Last Olympian)
 * Piper McLean - (The Lost Hero)
 * Leo Valdez - (The Lost Hero)
 * Jason Grace - (Was first claimed before the series, but was claimed again in The Lost Hero