the live-tool algorithm library — 7 reusable pure algorithms, one per public-API domain
Theorem.the live-tool algorithm library — 7 reusable pure algorithms, one per public-API domain.
Proof.the toolkit half of the standardization (user: "grow live-tool algorithm library", "deeper fewer"): 7 REUSABLE PURE algorithms, one per public-API domain — von Neumann extractor (entropy), realized volatility (market), chirp mass (astronomy/GW), Schumann harmonics fₙ=f₁√(n(n+1)/2) (geomag/ELF), clock phase (time), content fingerprint (knowledge), and the holographic state bound (space). Each is a PURE function (data in → quantity out, no network, no side effects), verified deterministic (f(x)===f(x)) and correct against a reference (von Neumann [0,1,1,0,1,1,0,0]→[0,1], chirp mass(1,1)=2^(−1/5)≈0.871, Schumann f₁=7.83 Hz, clock phase(54,108)=½, a 36-char UUID, and the 1-metre-cube Bekenstein bound ≈10^70 bits); several reuse sealed primitives (bekensteinBoundBits, schwarzschildRadius, SCHUMANN_FUNDAMENTAL_HZ). The holographic tool ANSWERS "how many universes fit in a cube of space": at most 2^(bits) distinguishable states, bits = the Bekenstein bound of the black hole that just fills it — a 1 m cube → ≈10^70 bits → 2^(10^70) configurations, FINITE (space is not infinitely divisible). Live data enters through the fold protocol, opt-in and zero-token. FLAGGED: Schumann-wellness woo, literal-multiverse readings, volatility≠alpha.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/research/index.ts#liveToolAlgorithmLibrary
1 · Classification
finite-complete — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"the live-tool algorithm library — 7 reusable pure algorithms, one per public-API domain" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation liveToolAlgorithmLibrary.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (liveToolAlgorithmLibrary @ src/research) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes liveToolAlgorithmLibrary (src/research/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.