de Bruijn–Newman constant

Upper bound, last-listed row

| 0.1875 | [MI2026b] | certified record package (window-tiling assembly route); same barrier site; see PR |tracked since 2026-07-24 — no movement seen yet

Lower bound, last-listed row

| 0 | [RT2020] | Simplified in [D2020] |tracked since 2026-07-24 — no movement seen yet

Checked against material for its cited source

• Another row, not one shown above: bound row $-50$ line 30 citing [CNV1987] — the claim we checked: that the cited 1987 reference gives the lower bound this row lists, −50 (the row's comment is empty, so the value is the whole claim). What we read supports it: the paper's main Theorem, its equation (26), states −50 < Λ for the de Bruijn–Newman constant, defined with the same normalization as this constant. source link (read in the journal edition, Numerische Mathematik 52, pp. 483–497, from a scan of the printed pages: the main Theorem on p. 487 and the definitions on pp. 484–485; the proof on pp. 488–496 was not read). 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.