The paper was laughably peer reviewed and published with only a few changes.

Breitbart's James Delingpole recalls a similar hoax from the 1990's:

They were hoping to emulate probably the most famous academic hoax in recent years: the Sokal Hoax – named after NYU and UCL physics professor Alan Sokal – who in 1996 persuaded an academic journal called Social Text to accept a paper titled “Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity”.

Sokal’s paper – comprising pages of impressive-sounding but meaningless pseudo-academic jargon – was written in part to demonstrate that humanities journals will publish pretty much anything so long as it sounds like “proper leftist thought;” and partly in order to send up the absurdity of so much post-modernist social science.

So, for this new spoof, Boghossian and Lindsay were careful to throw in lots of signifier phrases to indicate fashionable anti-male bias:

We intended to test the hypothesis that flattery of the academic Left’s moral architecture in general, and of the moral orthodoxy in gender studies in particular, is the overwhelming determiner of publication in an academic journal in the field. That is, we sought to demonstrate that a desire for a certain moral view of the world to be validated could overcome the critical assessment required for legitimate scholarship. Particularly, we suspected that gender studies is crippled academically by an overriding almost-religious belief that maleness is the root of all evil. On the evidence, our suspicion was justified.

They also took care to make it completely incomprehensible.

We didn’t try to make the paper coherent; instead, we stuffed it full of jargon (like “discursive” and “isomorphism”), nonsense (like arguing that hypermasculine men are both inside and outside of certain discourses at the same time), red-flag phrases (like “pre-post-patriarchal society”), lewd references to slang terms for the penis, insulting phrasing regarding men (including referring to some men who choose not to have children as being “unable to coerce a mate”), and allusions to rape (we stated that “manspreading,” a complaint levied against men for sitting with their legs spread wide, is “akin to raping the empty space around him”). After completing the paper, we read it carefully to ensure it didn’t say anything meaningful, and as neither one of us could determine what it is actually about, we deemed it a success.