I don't understand POP or anathemancer. I think I might rather have flame rift. There is a land out there somewhere that taps for any color and then you give it to your opponent. That could maybe be ok with POP. I would be cautious running 4 fireblast. Getting more than one in a game is usually garbage. Sonic Burst is not a terrible card. I also think that mogg fanatic is worth considering. Pyrostatic pillar is incredibly nasty. I think it should be mainboard.
Price of progress may be the single best reason to play burn in vintage. It will deal 4 damage if it resolves in most circumstances and often 6 or more, which makes it very efficient.
Anathemancer looks less impressive, IMO. This deck has more available mana than burn tends to and aim for a longer game, so it might be good, I guess. Are you testing this Ben?
A more traditional burn deck will always want the full set of fireblast, since it so often is the card that wins the race against aggro or combo or can be powered through when control is least prepared for it. But this deck is likely to see a few more cards in any given game, and it is
possible that it would be better off playing only 3 fireblasts.
Sonic burst is, in fact, terrible.
Fanatic is good and should be included if the meta calls for it.
Pyrostatic pillar seems to me like a really good idea. Much better than running negators. Negator can be dealt with easier, threatens rougly the same amount of damage to everything but shop decks and is useless against anyone playing goyfs.
Ben: Have you considered playing basic swamps, strips, trinisphere and magus of the moon, to further attack the opponent's mana? Making the deck creatureless is also an idea. It would make the vises slightly stronger.
Perhaps something like this:
Artifact:15
4 Ankh of Mishra
3 Chalice of the Void
3 Null Rod
4 Black Vise
1 Trinisphere
Enchantments:8
4 Pyrostatic Pillar
4 Blood Moon
Red:15
3 Fireblast
4 Price of Progress
4 Shrapnel Blast
Land:22
4 Ancient Tomb
3 City of Traitors
3 Wasteland
1 Strip Mine
11 Mountain
Dragon stompy without dragons? It looks like it would bleed badly to early creatures, and should probably run some mass-kill main or side.