Shiva usually has a trident stuck in the ground next to where he is sitting. The three tines of this pitchfork type weapon correspond to creation, protection, and destruction. 

Shiva is one of the oldest gods of India, and plays many important roles in his various aspects as a god. He is a devout meditator and creator of yoga, a designer of spiritual practice and disciplines. He is also a benevolent protector of humanity, and loyal husband and dutiful father. Shiva is also known for his dancing, representing not simply life and joy, but the energy of being and existence. But most importantly he is the god of destruction, transformation, and regeneration. As such, snakes and deer are often associated with Shiva, as they are able to shed their skin or grow new antlers. 

Shiva has on occasion been depicted as a member of the untouchable caste, with the four Vedas, or holy texts, as dogs. Shvan Yoga has you draw upon the blessing and attention of this power of Shiva, to change yourself and regenerate and heal from that process. By engaging in pup play you must in a sense destroy your humanity and transform into a dog, and through that experience you shed your impurities and passions in the play, so that when you come back to being a human again, you regenerate and grow anew from the human pup play experience. 

Many paths, one destination.....the gods most often have more than one aspect, and have even incarnated onto earth to teach humanity valuable lessons.

Ritualistic human dog play in hinduism

It is through worship of Shiva, either in his aspect as Bhairava, or sometimes another form, that many people over centuries have purged themselves of impurities and foulness and achieved a higher state of being. Presented here is how the role of the dog is performed and enacted in ritual worship for Shiva. Please note that I am not a Hindu Scholar, and whilst this information is all accurate and researched, it is not intended to replace a guru or Brahmin teacher of the Hindu faith. If you feel a calling or interest in greater, and I would say proper, reverence and understanding of Shiva and his aspects, then seek out a local Hindu temple!

Khandoba / Mallana

In central India the dog has an important place in ritual worship with a very popular god aspect of Shiva -Khandoba,  the Maharashtrian horseman god form of Shiva. His worshippers will sometimes act as his dogs and bark in the course of his rituals. It is entirely appropriate to bark like a dog and embrace Khandobas presence. These devotees are called "Tigers", and the word for tiger can also denote that certain fierce domesticated animal the watchdog, the hunting dog. Bark and sound like a dog, and guard your master devotedly.

The dog is often associated with Khandoba in general. In legend he was once a king who rode about having hunting expeditions which became erotic adventures, accompanied by his dog who would lick up all the blood spilt from Khandoba's fighting demons, thus stopping demons from respawning into existence. The dog aspect of Khandoba shows how we swallow our passions and sins, embrace them, and stop them from going further and doing harm.  Embrace your sexual desire and be sexual as a pup so that your human self is purified. 

In some myths and stories Khandoba is known as Mallana. The shepherd caste (Kurubas) take dogs with them when grazing their sheep in mountain forests. They regard dogs as forms of their god Mallana. In rituals, priests (and sometimes everyday lay folk) enact the roles of dogs and drink milk that they regard as fed to Mallana. This enacting a role of the dog, embracing a dog self as divine form, is India's indigenous original form of human pup play. Kal Bhairava worship may have evolved from this folk god. The ritual practice of worship for Mallana in this way is appropriate for the Kurabas, not for us. Behave like a canine and be a human pup in play in devotion. 

Navas

Worshipping Khandoba is not an official part of the path of Shvan Yoga, yet you can ask for his blessing in a specific way as a pup. Followers of Khandoba often make vows (navas), which are promises to perform a service for Khandoba in return for his granting of a wish of good fortune, such as success or fulfilment at something.  Khandoba is a fierce god who defends those who keep their faith to vows, but break your vow and you can expect divine wrath as Khandoba teaches you to not be an oathbreaker! To beseech Khandoba through navas, most folk create an altar for him  with a statue and give an offering of food (he prefers onions and tumeric). As a pup you can also choose a down and dirty way to make an offering to Khandoba for navas, and that is by ritual pain. You can torture yourself and offer your pain to Khandoba and make your vow. So flog your cock hard, or give yourself a bit of sexual pain and make your vows in human pup play. Just remember, they are oaths to Khandoba, and breaking them will bring misfortune to you. 

Presented below are images of where Khandoba is worshipped, including the city of Mumbai!

Kameshvara

Shiva has an aspect of himself as the divine lover, the god of love and desire. He is known as Kameshvara in this aspect - the Lord of Desire. Shiva is all powerful as a lover, and when he makes love he exercises total yogic control and never ejaculates!

Following religious tradition, a pup on the path of Shvan Yoga can romantically desire Kameshvara, increasing his intimacy with Shiva the divine being. As a pup gets aroused and full of erotic energy he can redirect some of that drive toward the divine. Fantasising sexual relations with a god is perfectly appropriate and right in this case!
Fantasise and masturbate to your fantasy as a form of prayer and devotion, focusing your desire on Kameshvara and it he may aid you in connecting with your sexual expression. Which of course leads to you being better able to let your sexual energy out in pup play and purge yourself of impurity. Shiva in all aspects brings creation (imagining a sexual fantasy) and destruction (enacting sexual passion to release it), and protection (doing it as a spiritual religious action for a purpose to be better as a person).