Moser's convex worm cover constant

Upper bound, last-listed row

| $\frac{\pi}{12}=0.2617993878\dots$ | [PW2021] | 30° circular sector of radius 1 (“Wetzel’s sector”). Builds upon [MW2017] |tracked since 2026-07-24 — no movement seen yet

Lower bound, last-listed row

| $0.232239$ | [KPS2013] | Min–max estimate for convex hull area of certain forced configurations |tracked since 2026-07-24 — no movement seen yet

Checked against material for its cited source

• Another row, not one shown above: bound row $0.227498$ line 26 citing [KS2009] — the claim we checked: that the cited reference gives the lower bound this row lists, 0.227498, using V-worms (equilateral-triangle hull) and U-worms (square hull), as the row's comment says. What we read supports the bound and the two shapes: Theorem 2 states that a convex universal cover for a unit-length arc has area at least 0.227498, and the proof uses an equilateral triangle of side 1/2 and a square of side 1/3, with a unit segment, as shapes every convex cover must contain. The paper does not use the words V-worm or U-worm. source link (read in the arXiv preprint version 2 (5 Jun 2009), the version the entry cites: the abstract, Theorems 1 and 2 on p. 2 and the end of the proof of Theorem 1 on p. 8, from page images). Selected: drawn by its position in the list of cited rows, not because it looked wrong.

1 bound row(s) here have been checked against material for their cited source (1 drawn by position, 0 chosen because something already looked wrong). Across this whole ledger 70 row(s) have been drawn by position, against 691 rows that name a source, counted on 2026-09-27: 64 were checked against material for their cited sources and for 6 the cited source could not be read at all. 5 more were chosen for suspicion and checked; they are counted apart, because a set selected for suspicion carries no rate. A row not listed here has NOT been checked.