
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given that $O$ is the origin, and $P$ is a point on the hyperbola $\frac{x^{2}}{a^{2}}-y^{2}=1 (a > 0)$, two lines are drawn through $P$ parallel to the asymptotes, intersecting the asymptotes at points $A$ and $B$ respectively. The area of the parallelogram $OBPA$ is $1$. Find the eccentricity of the hyperbola.

Present the answer in LaTex format: \boxed{Your answer}
user