EXP-052VALIDATED
Advantage Decomposition / SHA-256

Target-byte 0x3D tri-state closure

Applying the next target byte 0x3D to V51 defers should resolve nearly all remaining cases and reveal whether a zero-suffix deferral can still satisfy PoW.

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 V51 DEFER, apply the unsigned 0x3D comparison, fully evaluate every tie and require zero safety errors in both cohorts.
01 / Question & hypothesis

What was tested?

Applying the next target byte 0x3D to V51 defers should resolve nearly all remaining cases and reveal whether a zero-suffix deferral can still satisfy PoW.

02 / Scientific basis

Why the test is meaningful

The same recursive comparison applies at the next byte. A tie defers to a suffix that, under the registered target boundary, is constrained to zero; testing these ties against full PoW determines whether the deferred branch has any valid support.

given V51=DEFER, compare b with 0x3Db<0x3D⇒ACCEPT; b>0x3D⇒REJECT; b=0x3D⇒DEFER_ZERO_SUFFIXvalid defer requires remaining digest suffix=0
Target byte 0x3D closureAll 163 zero-suffix defers were fully evaluated; none satisfied PoW.EXP-052 / TARGET BYTE 0X3D CLOSUREREJECT75.63%ACCEPT23.98%VALID DEFER0 / 163
FIGURE / RESULT READINGAll 163 zero-suffix defers were fully evaluated; none satisfied PoW.
03 / Method

How it was tested

Evaluate two independent 20,000-record V51-deferred cohorts, classify against 0x3D, test all zero-suffix defers with full PoW and audit conditioning and action safety.

04 / Observed result

What happened

Zero-suffix defers163
Valid deferred PoW0
Safety errors0

Replicate A produced 4,796 accepts, 15,126 rejects and 78 zero-suffix defers; B produced 4,770, 15,145 and 85. None of the 163 deferred records satisfied full PoW. All conditioning and safety errors were zero; incremental work was 152 units.

05 / Validation

Exactness and statistical controls

Every deferred case was retained and fully evaluated; the zero-valid result was not inferred from probability. Independent replicate counts support the closure of this registered deferred branch.

06 / Interpretation

What the result means

The 0x3D boundary is exact and the observed zero-suffix branch closes negatively. This narrows the target-comparison path without implying faster mining.

Limitations

  • Zero valid defers is an empirical result for 163 observed ties.
  • The registered target bytes define the scope.
  • The capability remains comparison-only.
07 / Reproduction

Evidence trail

Condition on V51 DEFER, apply the unsigned 0x3D comparison, fully evaluate every tie and require zero safety errors in both cohorts.

Canonical variants

SUBENGINE-V52ASUBENGINE-V52BSUBENGINE-V52C

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