The Lab Notebook

A number whose own digits, fed back through repeated summation, reproduce it. 57 confirmed hits across digit-lengths 3–17, a proven additive rule, an unexplained smoothness signature, and a rigorously tested digit-shape hypothesis that came back null.

Among gaps between consecutive primes, only 10 of 18 possible remainders mod 18 ever occur. Verified to 300,000,000 with zero counterexamples, and the mechanism is exact — parity, not statistics.

Quantizing a real 1.48B-parameter model to a 31-level codebook: 5.05:1 compression, 0.997 cosine fidelity, a working AVX2 kernel — and an honest accounting of what it loses to and what a real benchmark refuted.

A local chat frontend for Ollama that only trusts an answer once the model has given it consistently, then serves it instantly. Real measured result: 28.5s live call → 0.076s cache hit, ~375×, persistence verified across a restart.

A puzzle game where the puzzle is the real self-reproducing-numbers recurrence: push tiles to build known targets, or craft new ones for real via the proven additive theorem. Two real engine bugs found and fixed via large-scale simulation, not manual play.

The one real result to survive six null tests of whether this project's number scheme reveals hidden structure in a real language model — packaged as a plugin so anyone can run the same verified quantization scheme against their own local model.

The methodology behind everything else here: the one statistical test used across every investigation, three bugs found inside the checking tools themselves, a fine-structure-constant claim tested and rejected, and a falsifiable prime-gap prediction that failed cleanly.

Of the small things that make a strong house. A practical framing guide built on one maxim — level the plate; do not survey the errors — and the same describe-it-or-absorb-it logic this notebook applies everywhere else, applied to a foundation, a floor, a wall, and a roof.