trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Sound certificates for original-residue capacities

Cyclic polynomial encoding certifies actual histogram bounds on the 8640-point six-row transversal. The soundness theorem connects typed arithmetic certificates to all 245 original tail rows; 96 explicit certificates supply every canonical class.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS1
THEOREM

Soundness for actual finite histograms

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Direct recorded relationships
Conditional capacity after six original rowsConditional capacity after sixoriginal rowsSound certificates for original-residue capacitiesSound certificates fororiginal-residue capacitiesA uniform positive hole bound for the original 252 rowsA uniform positive hole boundfor the original 252 rows
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
5
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/Covering/Erdos203CapacityCertificate
Repository path
D5/S3/Arith/Covering/Erdos203CapacityCertificate.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.