The Mythos Moment: When Hacking Tools Move from “Functional Fixedness” to “Divergent Hacker Thinking”
Hacking is often misunderstood as simply “breaking into computers.” But at its core, hacking is something broader and more fundamental: Hacking means making a system do something it was not meant to do. Sometimes that is creative. Sometimes it is criminal. The difference is permission, intent, and consequence. A child ... Read More
ColorTokens Once Again Named a Leader and Outperformer in the 2026 GigaOm Radar for Microsegmentation
Microsegmentation has moved well beyond a narrow infrastructure conversation. Today, teams need to enforce policy across cloud workloads, data centers, user endpoints, containers, and OT and IoT environments without creating more operational friction than security value. That broader requirement is exactly why we built the ColorTokens Xshield Enterprise Microsegmentation Platform™ the way ... Read More
From cos(x+y) to GenAI Hallucinations: Why Zero Trust Needs a “Progressive Refinement Loop”
1. A School Identity Hidden Inside a 1 Km Circular Field The other day, my son, Syon, was learning the angle-addition identity for cos(x+y) and asked the familiar question that he always asks: where am I ever going to use this? Physics is one answer. Engineering is another. But there is ... Read More
License Plates to Lateral Movement: How a School Probability Trick Helps Model It
Figure 1: LATERAL = 1ATE241 license plate School Math: A Car‑ride Probability Puzzle Driving my daughter to school, we were discussing a classic probability question: “What are the odds a 4‑digit license plate has at least one repeated digit?” Listing cases gets messy fast (first two same, last two same, ... Read More
Euler’s Königsberg Bridges: How Simple Math Can Model Lateral Movement for Effective Microsegmentation
You may have seen the “no-lift pencil” puzzles online — challenges that ask you to draw a shape without lifting your pencil or retracing any lines. I solved a few of these on our whiteboard at home, much to my kids’ amazement. Of course, I had a trick up my ... Read More
ColorTokens Breaks the Scale with First-Ever Average Score of 5.0 in Key Features in GigaOm Microsegmentation Radar
In cybersecurity, everyone talks about preventing breaches. But at ColorTokens, we’ve taken a different approach. We focus on helping our customers contain, withstand, and recover from breaches with minimal business disruption. That’s what it means to be Breach Ready. And that’s exactly what we built Xshield to deliver. Which is ... Read More
Clarification on Shor’s Algorithm and GNFS Comparison
Some of our astute readers noticed an apparent anomaly in the graph comparing the complexities of Shor’s algorithm and GNFS in the original blog. Specifically, it seemed as though GNFS (General Number Field Sieve) outperformed quantum-accelerated Shor’s algorithm for practical RSA key sizes (e.g., 2048 bits). This led to the ... Read More
Peter Shor Broke PKI with Ancient Math, and Futuristic Quantum Computing
Peter Shor revolutionized public-key infrastructure (PKI) using concepts that trace back to 4,000-year-old Babylonian mathematics and culminated in futuristic quantum computing. Here, we explore the math with a simple, illustrative tool to break PKI by hand. The Theme: Simple Math Meets Cybersecurity This blog delves into the math behind (breaking) ... Read More
How the Quest for Counting Prime Numbers, Eratosthenes, and Legendre Sieves Apply to “Instantaneous Zero Trust Microsegmentation with Progressive Improvements”
Recently, my kids challenged me to explain how math applies to real life. This time with a twist: “Not ancient math, but something relevant today!” Their curiosity, paired with the recent discovery of the largest known prime (a 41-million-digit behemoth, M136279841 2136279841-1), inspired me to explore how prime number sieves ... Read More
