Source manifold and dynamic local library
Reachable Bitcoin states occupy structured local contexts that can select exact reusable capabilities.
Diagnostic work, exact algebra and local capabilities are not treated as end-to-end mining advantage.
What was tested?
Reachable Bitcoin states occupy structured local contexts that can select exact reusable capabilities.
Why the test is meaningful
Reachable SHA-256 states for a fixed Bitcoin header context are not sampled uniformly from all 256-bit states. A local library tests whether repeated reachable contexts select exact formulas, while deliberately separating existence, coverage and runtime economy.
L={context signature q ↦ exact capability Cq}coverage = P_reachable(q∈dom L)selection valid ⇔ Cq(x)=baseline(x) for every selected xHow it was tested
Classify source contexts, build a local formula library, record coverage and validate every selected formula against direct computation.
What happened
A dynamic local library was built and exact selections were validated; global coverage and dispatch economics remain unresolved.
Exactness and statistical controls
Every library selection was compared with direct computation and tied to a frozen context identifier. Coverage statistics remain descriptive because the source manifold and job schedule define the sampling distribution.
What the result means
Local structure exists in the registered source manifold. Observed class frequency is descriptive, not a mining advantage.
Limitations
- The library may not generalize across jobs.
- Lookup, cache and update costs are unmeasured.
- Observed context frequency is not target-hit enrichment.
Evidence trail
Source-class summaries and local-library identifiers are tied to frozen job/context definitions.
Canonical variants
SUBENGINE-V9ASUBENGINE-V9BSUBENGINE-V9CSUBENGINE-V9DSUBENGINE-V9ESUBENGINE-V9FSource: internally audited canonical reports. Local filesystem structure, private headers and operational identifiers are excluded from publication.