An improved lower bound for the Shannon capacity of $C_{11}$

Lineage and corrections

This event attributed to Matthew Protti

This event attributed to Astra 6 Pro

This event attributed to Codex GPT-6 Astra Extra-High

v0.1.0 release with unchanged checked R3 archive evidence for this event

R3 history: checked build, native trust and negative controls evidence for this event

R6 v0.3.0: checked release archive and checksum evidence for this event

v0.5.0: current checked R10 release and archive evidence for this event

R3 history: pinned construction and capacity theorems (v0.1.0) evidence for this event

R5 v0.2.0: checked release archive and checksum evidence for this event

VibeMathed record: An improved lower bound for the Shannon capacity of $C_{11}$ evidence for this event

An improved lower bound for the Shannon capacity of $C_{11}$ parent of this event

v0.5.0: consolidated verification and trust disclosure evidence for this event

An improved lower bound for the Shannon capacity of $C_{11}$ evidence for this event

R3 history: exact N0, N1 and frozen replacement table evidence for this event

Prior BPZ C11 certificate: full August 10 baseline evidence for this event

A sequence of explicitly constructed independent sets in strong powers of $C_{11}$, with successive root improvements certified by exact integer comparisons, using cross-powers when dimensions differ. The current bound is $\Theta(C_{11}) \ge 5.295526013632343$, from an independent set in $C_{11}^{\boxtimes 213}$ (R10, 9 September 2026), improving the R3 result of $5.295492477500681$ in dimension 207 that this entry was first listed for, and the Buys-Polak-Zuiddam baseline of $5.295492315784620$. The intermediate steps R5 and R6 and the superseded R9 are recorded on the frontier. The exact capacity remains open, and no upper bound is claimed. The R5, R6, R9 and R10 builds carry disclosed native-evaluation dependencies rather than being kernel-only. parent of this event