Claiming

Claiming occurs when a god acknowledges his/her demigod offspring, usually by sending a hologram of their symbol of power to appear over the particular child's head, but some claimings are unique, such as Piper's when her makeup, hair and clothes are changed to enhance her beauty.

Description
Whenever gods have a child with a human, it was the gods choice to claim that child or not. This was a sign that the demigod child was a son or daughter of a certain god. At Camp Half-Blood, being claimed is considered a great honor and they use this knowledge to sort you into the cabin of your godly parent. Before the events of The Last Olympian, not every god had a cabin so a claimed child of a minor god would end up in the Hermes Cabin.

However other demigods were never claimed, even after arriving at camp. It is unknown why, but it is mentioned that even the gods lose track of all the children they have with mortals. It is all possibly that some demigods aren't claimed to keep them safe, as once a demigods learns who they are, they may begin to attract monsters that wouldn't have noticed them before. At Camp Half-Blood, any unclaimed demigod was also placed in Hermes' Cabin.

Many unclaimed demigods or demigods born from a minor god felt neglected by their parents and by Camp Half-Blood and turned away from the Olympians, eventually leading to the Second Olympian War. However, after the war was over, Percy made the gods promise to claim their children by the time they turn thirteen and build cabins for all the minor gods, in accordance with the wishes of Ethan Nakamura and Luke Castellan. From then on, Claiming became a common occurrence at Camp Half-Blood, with new campers normally being claimed at the campfire.

At Camp Jupiter, the gods don't interact with their children or legacies as much as their Greek aspects do. However, by tradition when a member of the Legion turns sixteen, they are considered a man/woman and are normally claimed on this day. Other times, the gods will send some sign or omen to their child (like in the case of Vitellius). Any unclaimed member of the Legion is placed on Probatio until they achieve some kind of great task and they are claimed by their parent.

It is unknown if Percy's promise to the gods to claim their children by the time they were thirteen applies to their Roman aspects as well.

Poseidon's Claiming
When Poseidon claims one of his demigod or Cyclops children, a glowing green trident hologram appears over their head. This happens to Percy in The Lightning Thief after he heals his Hellhound wounds when Annabeth, realizing his capabilities, orders him into the creek so that Chiron can view his powers. It later happens to Tyson in The Sea of Monsters after he enters Camp Half-Blood while he stands waiting in the dining pavilion of the Big House as he was being taunted by Tantalus, the substitute activities director for Chiron.

Aphrodite's Claiming
When Aphrodite claims her children they start glowing with a pink aura. After that they instantly look great (beautiful). The children of Aphrodite refer to this as Aphrodite's Blessing, which goes on for a while 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 instantly after he arrived at camp in The Lost Hero.

Seen Claimings

 * Percy Jackson - (The Lightning Thief)
 * Tyson - (The Sea of Monsters)

Unseen Claimings

 * Annabeth Chase
 * Malcolm
 * Thalia Grace
 * Luke Castellan
 * Nico di Angelo
 * Connor Stoll
 * Travis Stoll
 * Silena Beauregard
 * Clarisse La Rue
 * Chris Rodriguez
 * Ethan Nakamura
 * Katie Gardner
 * Charles Beckendorf
 * Christopher
 * Pollux
 * Castor
 * Mark
 * Sherman
 * Jake Mason
 * Austin
 * Kayla
 * Lee Fletcher
 * Michael Yew
 * Will Solace

Greek

 * Leo Valdez - (The Lost Hero)
 * Piper McLean - (The Lost Hero)

Roman

 * Frank Zhang - (The Son of Neptune)
 * Hazel Levesque - (The Son Of Neptune)

Greek

 * Butch
 * Miranda Gardiner
 * Lacy
 * Drew
 * Mitchell
 * Harley
 * Nyssa
 * Shane
 * Clovis
 * Lou Ellen
 * Alabaster Torrington

Roman

 * Jason Grace- (The Lost Hero)
 * Reyna- (The Son Of Neptune)
 * Dakota- (The Son Of Neptune)

Trivia

 * As shown in The Sea of Monsters, monsters like Tyson can also be claimed by their godly parent, even though they aren't considered demigods.
 * Percy made the gods promise to claim their children by the age of thirteen. However, this means that the gods didn't have to claim any child already over the age of thirteen, as it was not part of the deal the gods made on the River Styx. This can be shown with demigods like Leo and Piper, who were both older than thirteen when the oath was made. Although Hephaestus mentioned in Leo's dream that he had to be claimed at the right moment, otherwise he probably would've been claimed earlier.
 * Despite claiming generally being a holographic image or a makeover in the case of children of Aphrodite, a demigod can be claimed simply by having a god appear to them and claim them as their child (like with Hazel and Frank).
 * In The Lightning Thief movie, Percy was not claimed by Poseidon like he was in the book. Chiron already knows he is Poseidon's son, and tells him when he gets to camp.