PLATFORM PROFILEPrivate
Stripe
3.67
B-index (V3.1)
BLACK HOLE
Capture1.615
Escape0.440
Key Structural Insight
Each product is a hook. API lock-in invisible until migration attempt.
Eleven-Parameter Profile
Data Depth8/10
Memory6/10
Action8/10
Process9/10
Network8/10
Closeness7/10
Portability4/10
Substitutability5/10
Human Fallback5/10
Org Depth8/10
Momentum8/10
Capture Escape Extended
V3.1 Decomposition
| Component | Value | Formula |
|---|---|---|
| CES₄ capture core | 0.7709 | CES(d, m, a, p) |
| Knowledge synergy σₖ | 0.6928 | √(d · m) |
| Operability synergy σₒ | 0.8485 | √(a · p) |
| Synergy boost | 1.2312 | 1 + 0.3·(σₖ + σₒ)/2 |
| Org-depth multiplier | 1.4000 | 1 + 0.5·o |
| Momentum multiplier | 1.2400 | 1 + 0.3·t |
| Total Capture | 1.6148 | c·(1+0.5n)·core·syn·org·mom |
| CES₃ escape core | 0.4654 | CES(x, s, h) |
| Feedback attenuation | 0.7302 | max(0.3, 1 − 0.35·core) |
| Total Escape | 0.4398 | ε + escCore · feedback |
| B = Capture / Escape | 3.67 | 1.615 / 0.440 |
Scoring Rationale
APIs in 5M+ codebases. 80% of Nasdaq 100. Migration = months of engineering. Atlas, Billing, Radar, Tax, Treasury, Connect — each deepens integration.
Parameter Sensitivity
MARGINAL B-INDEX CHANGE PER ±1 SCORE SHIFT
CLOSE7+1.05
PORT4-0.44
MEM6+0.40
SUB5-0.40
FALL5-0.40
ACT8+0.35
DATA8+0.34
PROC9+0.33
NET8+0.26
ORG8+0.26
MOM8+0.18
+ raises B (deepens lock-in)− lowers B (aids escape)