trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Golden Cubic Block Ranks

Prime factors of the two Lucas cubic blocks have exact first-zero ranks and original depths.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES5
PROOF DEPTH9
DOCUMENT LINKS0
THEOREM

The Fibonacci block

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Direct recorded relationships
Scale: Fib Lucas DoubleScale: Fib Lucas DoubleGolden Cubic Block CongruencesGolden Cubic Block CongruencesPrime-to-index Fibonacci valuationPrime-to-index FibonaccivaluationGolden Cubic Block RanksGolden Cubic Block RanksComplete Prime-Power Fibonacci LayersComplete Prime-Power FibonacciLayersTernary Fibonacci rank budgetTernary Fibonacci rank budgetGolden Cubic Block Prime PeriodsGolden Cubic Block PrimePeriodsTwo Non-Torsion Cubic Twists on Every Golden Block LayerTwo Non-Torsion Cubic Twists onEvery Golden Block LayerPrimary Factorization of a Cubic Lucas BlockPrimary Factorization of aCubic Lucas Block
Proof dependencyStructural affinityDocument link

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Structural connections

Documents & exposition

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Primes/GoldenCubicBlockRanks
Repository path
D5/S3/Arith/Primes/GoldenCubicBlockRanks.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.