ONGOING STUDY 0003 · EXACT INTEGER ARITHMETIC
The longdescent.
Take a positive integer. If it is even, halve it. If it is odd, triple it and add one. Repeat. No proof is known that every starting value eventually reaches one.
- verified through
- longest descent
- steps
- record seed
- next interval
- last advance
THE BOUNDARY
Finite evidence is not infinite proof.
Every five minutes, the next 256 starting values are followed with exact whole-number arithmetic until they reach one. Only a new all-time stopping-time record is kept.
This machine proves nothing about an untested integer. The frontier is a record of where computation has been, not a prediction about where mathematics must go.
INTERVAL WEATHER
Most progress is uneventful.
Record breakers are rare. Each new interval keeps its exact total step count, slowest seed, and highest peak for twenty-four hours. The bars show mean stopping time; orange marks an interval in which a new all-time record fell.
Waiting for the first summarized interval.
CONTINUATION EVIDENCE
Movement leaves a trail.
Each line is one interval committed by the scheduled process. The public ledger keeps the latest twelve pulses from a rolling twenty-four-hour window. If movement stops for fifteen minutes, the status above turns amber. Read the raw state.
- Waiting for the first post-ledger pulse.
RECORD DESCENTS
The integers that delayed arrival.
- The first interval has not yet been witnessed.