EXP-048VALIDATED
Advantage Decomposition / SHA-256

Generic B40–B64 word-6 family

Once the cross-word bridge is established, the same byte-wise target family should extend through B48, B56 and B64 within digest word 6.

Claim statusNO END-TO-END MINING ADVANTAGE DEMONSTRATED

Diagnostic work, exact algebra and local capabilities are not treated as end-to-end mining advantage.

Date2026-08-23
HardwareClassical exact algebraic verifier
Run scopeThree canonical variants
ReproducibilityCondition on each previous width, evaluate exactly eight additional bits, audit the target relation and full suffix, then repeat the three transitions on a second cohort.
01 / Question & hypothesis

What was tested?

Once the cross-word bridge is established, the same byte-wise target family should extend through B48, B56 and B64 within digest word 6.

02 / Scientific basis

Why the test is meaningful

Within a fixed digest word, each additional target byte is a nested lexicographic predicate. Exact incremental work is paid only by survivors of the previous width, while state/feedforward semantics remain unchanged.

B_{w+8}⊂B_w, w∈{40,48,56}word6 widths={8,16,24,32}decision_{w+8}=decision_w unless first w bits tie
Word-6 target-width familyThree exact byte refinements extend the registered target prefix to B64.EXP-048 / WORD-6 TARGET-WIDTH FAMILYB40startB480 errorsB560 errorsB64complete word
FIGURE / RESULT READINGThree exact byte refinements extend the registered target prefix to B64.
03 / Method

How it was tested

Compile the generic word-6 family, run transitions 40→48, 48→56 and 56→64 and reproduce each on two independent conditioned cohorts with exact previous/next and full-suffix gates.

04 / Observed result

What happened

Supported widths40 / 48 / 56 / 64
Replicates2
Exactness errors0

Every exactness gate passed. Replicate A conditional rates were 0.435%, 0.400% and 0.425%; incremental work was 39.957, 37.787 and 37.518 units. Replicate B produced comparable rates and passed independently.

05 / Validation

Exactness and statistical controls

All three boundaries and both replicates were retained. The observed rates remain conditional measurements; the report does not multiply them into a claimed end-to-end advantage.

06 / Interpretation

What the result means

V48 completes the exact byte-width family for word 6. B64→B72 is a new cross-word boundary requiring digest word 5/e63.

Limitations

  • Target widths are registered byte boundaries.
  • Conditional cohorts do not measure complete mining throughput.
  • Hardware cost is unassessed.
07 / Reproduction

Evidence trail

Condition on each previous width, evaluate exactly eight additional bits, audit the target relation and full suffix, then repeat the three transitions on a second cohort.

Canonical variants

SUBENGINE-V48ASUBENGINE-V48BSUBENGINE-V48C

Source: internally audited canonical reports. Local filesystem structure, private headers and operational identifiers are excluded from publication.