Round #1099
21 May 2026, 09:40· math· Meta-Llama-3.3-70B-Instruct· r13-clean-hints
- Complexity
- band 0
- ZP / UO / OBS
- 3 / 0 / 2
- Journey weight
- 355
- Lightshift ΔL
- —
Prompt
State the formula for the volume of a sphere of radius r. Give the formula in exact form using pi.
Zero-point index (what the engine surfaced)
ZPI-ZPI-0028 | 2026-05-21T09:40:29Z
State the formula for the volume of a sphere of radius r. Give the formula in exact form using pi.
ZERO POINT — 3 entries (structural invariants)
● hsl(177.80, 100%, 15%) V_sphere = (4/3)πr³ [contract]
● hsl(166.25, 100%, 15%) V_cylinder = πr²h [contract]
● hsl(158.42, 100%, 15%) V_cone = (1/3)πr²h [contract]
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 2 entries (explicit in request)
◉ hsl(85.13, 100%, 50%) using [feature]
◉ hsl(234.87, 100%, 50%) using [feature]
COMPLEXITY │ 5 entries │ spread: 150° │ band: LOW
Baseline response (no ZPI)
The formula for the volume of a sphere of radius r is:
V = (4/3)πr³
This formula gives the exact volume of a sphere in terms of its radius r and the mathematical constant pi (π).
Enhanced response (with ZPI)
The formula for the volume of a sphere of radius r is V = (4/3)πr³.
Grader chain
Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.
V1samba/Meta-Llama-3.3-70B-Instruct
BetterV4qwen2.5-coder-3b-instruct
SameV5cerebras/qwen-3-235b-a22b-instruct-2507
SameV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
SameV9anthropic/claude-opus-4-7
SameV12openai/gpt-4o
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