| $1$ | Trivial | The identity function $f(z)=z$ is univalent with $f'(0)=1$ and has $B_f=1$, hence $B_u\le 1$. |tracked since 2026-07-24 — no movement seen yet
Lower bound, last-listed row
| $0.5708858$ | [Skin2009] | Best recorded lower bound (as summarized in [BS2023]). [BS2023-latest-Bu-lb] |exact pinned row| $0.5708858$ | <a href="#Skin2009">[Skin2009]</a> | Best recorded lower bound (as summarized in <a href="#BS2023">[BS2023]</a>). <a href="#BS2023-latest-Bu-lb">[BS2023-latest-Bu-lb]</a> |tracked since 2026-07-24 — no movement seen yet
Cite this rowBounds Ledger — Univalent Bloch constant (57c)
upper bound: $1$ (tracked since 2026-07-24 — no movement seen yet)
lower bound: $0.5708858$ (tracked since 2026-07-24 — no movement seen yet)
Mirrored from teorth/optimizationproblems@2c1968c. These are the last-listed rows of that constant's bounds table — a listing position, not a statement that this bound is the strongest or most recent. A snapshot at that sha, not a live read.
https://u00dxk2.github.io/bounds-ledger/c/57c.html