trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Golden Resource Objective Factorization

At every real resource price, the objective of a positive integer is the finite sum of its prime-direction local objectives.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES9
PROOF DEPTH1
DOCUMENT LINKS1
THEOREM

The objective factors over prime directions

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Divisor objective coreDivisor objective coreGolden Resource Objective FactorizationGolden Resource ObjectiveFactorizationGolden Future Extension MaximumGolden Future Extension MaximumEight-Step Abundancy MaximumEight-Step Abundancy MaximumGolden Resource SupremumGolden Resource SupremumGolden Resource Threshold CriterionGolden Resource ThresholdCriterionGolden Resource 5040 Price IntervalGolden Resource 5040 PriceIntervalRobin response of the actual lcmRobin response of the actuallcmOriginal endpoint prime tailsOriginal endpoint prime tailsOriginal Maximum: Complete Pure PacketsOriginal Maximum: Complete PurePacketsFixed-Layer Rigidity of Actual Price RecordsFixed-Layer Rigidity of ActualPrice Records
Proof dependencyStructural affinityDocument link

RELATED KNOWLEDGE

Structural connections

Documents & exposition

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/GoldenResourceObjectiveFactorization
Repository path
D5/S3/Arith/GoldenResourceObjectiveFactorization.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.