<aside> 🟢
ONE-GLANCE RESEARCH OPERATING SYSTEM
Use this panel to see where new mathematical objects are, what remains unresolved, and which office owns the next action. The City updates existing structures in place. Routine automation creates no new child-page sprawl.
</aside>
Discovery → Identity → Verification → Machine Certificate → Citizenship → Borough Routing → Citadel Broadcast
Every object must retain its exact expression, ambient type, evidence class, provenance, correction state, destination, and claim boundary throughout transit.
<aside> 🔱
CITY SPINE · KARTEKEYA
Open Kartekeya — The Projection Spine of the Mathematical City
The City now treats $K\to\ker K\to P\to H=I-P\to x_\infty=Px_0$ as its central civic mechanism. Every borough inherits the operator, kernel, projector, evidence, and boundary discipline without changing its own domain.
</aside>
<aside> 🗺️
THE CITY NOW OPERATES AS A TYPED TRANSPORTATION NETWORK
The Subway is the claim-transformation network. The Elevated Monorail is the dependency, provenance, versioning, and reproducibility network. Together they make the movement of mathematical objects explicit, auditable, and machine-routable.
</aside>
$\text{foundation}\rightarrow\text{representation}\rightarrow\text{spectral isolation}\rightarrow\text{numerical verification}\rightarrow\text{spatial or quantum extension}\rightarrow\text{application}$