Pranav Bhave

Film · 32 seconds · silent

The Parity Cube

Two distributions over three guards can have identical single-guard and identical pairwise failure rates and still differ in how often all three fail together; measuring every pair does not identify the stack.

Read the argumentDownload MP4First published here 2026-09-02

The argument in text

Uniform mass on the four even-parity outcomes and uniform mass on the four odd-parity outcomes both give every guard a failure rate of 0.5 and every pair a both-fail rate of 0.25, while the three-way failure probability is 0 under even parity and 0.25 under odd parity.

CC-003's frozen E1 construction (controlled synthetic generators; no real guardrail measured; recorded decision Narrow). The moments shown are re-asserted numerically by scripts/films/bind_facts.py from the two constructed distributions.

What this does not establish

  • the parity pair demonstrates possibility, not frequency, in real guardrail stacks; no empirical prevalence is claimed
  • nothing here validates the framework's practical or deployed value; "we validated CC" is prohibited at every rung
  • no real guardrail, vendor, or deployment appears; E1 is synthetic

What would require a correction

The frozen E1 construction fails to retain equal singleton (0.5) and pairwise (0.25) values while yielding three-way probabilities 0 (even) and 0.25 (odd), or the bound study does not record the Narrow decision (CC-003, REJECT); or the moments drawn on screen differ from those recomputed from the atoms — bind_facts.py asserts them before the film can read them.

Read the supporting record: CC-003.

Sources and render record

Film manifest · Render receipt · First site deployment record

Current render: 2026-09-15. The receipt records the rendered inputs and output hash. It checks provenance, not scientific validity.