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.
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.