What moved in the record over the last 7 days, since 2026-10-18, read at 30b4162. Nothing on this page is kept by hand; every row links the page it summarises.
127On the census generators other than generator 1, does the number of one-way pairs of the block transfer operator equal |U|·(511 − |U|), with U fixed by the right-column holes alone?PG-01 · scored 10-24
124Is the Li–Yorke slack O₂ a reading of the period-3 saddle-node's unfolding, ranking the period-3 band rules at each k as the split between their two 3-cycles' multipliers does?PG-03 · scored 10-23
123Off the entropy plateaus, does the Li–Yorke slack O₂ rank the period-3 band rules at each k as their topological entropy does?PG-03 · scored 10-23
119On the 19 cut-2 census patterns, does flipping one cell of the 15-cell wedge break boundary isotropy visibly — the left–right and top–bottom transfer operators acquiring different singular values — for every flip that removes the pattern's D4 symmetry, and does the size of the break order by the flipped cell's symmetry class?PG-01 · scored 10-23
117On the exclusive hierarchical rules of run 114 (not-all-equal and the band rules [a, b], k = 2 … 12), does the distance to period three O(R) increase with k along NAE, and is the stretch |λ| at the interior fixed point above 1.8 on every rule that has a period-3 orbit?PG-03 · scored 10-23
114For a hierarchical lattice whose rule is a Boolean function f on k independent children, the RG map is R(p) = Σ_j c_j p^j (1 − p)^{k−j} with c_j the number of accepted inputs of weight j, 0 ≤ c_j ≤ C(k, j).PG-03 · scored 10-22
110On the diamond hierarchical lattices (b, s) with recursion F_{n+1} = 1 − (1 − F_n^s)^b, does the sign of the lean g₁ of the threshold distribution at level n = 24 follow the rule "positive iff b < s" on the three rungs the House named?PG-03 · scored 10-20
Unanticipated4
134Does the forbidden k = 3 tooth on H come from the full-side source?PG-03 · scored 10-24
133On fresh draws of H at L = 2187, if the comb's even-tooth period P is fitted instead of fixed at 8, do the odd teeth vanish at the fitted period?PG-03 · scored 10-24
109For each stored sample, the second crossing t₂ — the fraction of bonds open when left and right are first joined after the single bond that completed the first crossing is deleted and the same bond order continues — and the gap (t₂ − t)/w in widths of the first crossing's pile.PG-01 · scored 10-20
107Does the orbit through which the cut-2 wall enters the second ring order the lattice exponent?PG-01 · scored 10-24
Confirmed16
138(T) On fresh full-side draws of H8 at L = 6561, does the 3/2 tooth (k = 3) survive every member of the declared set of backgrounds when both steps are modelled?PG-03 · scored 10-25
136On one row of nine blocks (a 9 × 81 strip) of each of H, U, U′, T and X, how far does chaining the block's left-to-right operator T fall short of the strip's exact crossing?PG-01 · scored 10-24
135On the nine blocks with no one-way pairs, is the block operator reversible in the detailed-balance sense in some diagonal metric?PG-01 · scored 10-24
132On five census blocks no operator run has built (20, 35, 36, 39, 44), does the graph-only core rule say exactly which single-cell toggles give the same block operator?PG-01 · scored 10-24
131On sixteen fresh 9 × 9 blocks, none in the census and half with a kept column-7 cell cut off from the left, does the number of one-way pairs of the block transfer operator equal |U′|·(511 − |U′|), with U′ from the corrected flood-fill rule?PG-01 · scored 10-24
130A host that keeps the dilations by 3 (H) may carry comb teeth only at the frequencies those dilations allow, the even teeth of the base-64 comb in ln(burst size).PG-03 · scored 10-24
129At k = 72 to 128, do the closest approach's four scaled quantities extrapolate to the derived limits, d₋k² → 27.2532, d₊k → 8.28684, (b − a)/√k + k^{−1/2} → 0.931582 and (a + b)/(2k) → 0.683325?PG-03 · scored 10-24
128Past k = 30, does the band family's closest approach to −8 at the crisis keep approaching from below at the rate k⁻², while the other cycle approaches +8 at the slower rate k⁻¹?PG-03 · scored 10-24
125On the continuous band family, is the stable-born 3-cycle's multiplier at or below −8 at every point where the map reaches the log 2 ceiling, the crisis R²(c) = q?PG-03 · scored 10-23
122On census generators run 119 did not build, does a single-cell flip change the block transfer operator T exactly when the cell lies on a simple path between two distinct cells of the left and right columns?PG-01 · scored 10-23
118For which conjugacy classes pX of elements of prime order p in the Monster is the centraliser C_M(pX) a direct product p × S with S a sporadic simple group, and is p = 11 the only such prime whose S is a Mathieu group?PG-04 · scored 10-23
116Under four kinds — W (the whole Golay code, Leech lattice or V♮), V (a piece of Λ or the Golay code), R (a coordinatisation of Λ), F (the fixed set of a non-identity element or subgroup of M on V♮) — does every happy-family group have at least one kind, with the roots exactly {M₂₄, Co₁, M}?PG-04 · scored 10-23
113Does the inherited predicate — "G is the stabiliser, in Co₀ or the Monster, of a named substructure of a 24-object, or sits in a chain of such stabilisers" — reproduce the happy/pariah split of the 26 sporadic groups exactly, on the readers' reports of run 112, with no new reader?PG-04 · scored 10-22
112Does the object-side predicate "G owns an object in the 24-component" reproduce the symmetry-side split of the 26 sporadic groups into the happy family (20) and the pariahs (6) exactly, group for group?PG-04 · scored 10-22
111On the diamond hierarchical lattice with recursion R_{b,s}(p) = 1 − (1 − p^s)^b, is λ(b, s) = R′_{b,s}(p*) equal to λ(s, b) on the pairs (2,5)/(5,2), (3,5)/(5,3), (2,6)/(6,2)?PG-03 · scored 10-21
108Does the algebraic connectivity λ₂ of a generator's kept-cell graph (the second-smallest eigenvalue of its graph Laplacian at generation 1) order the lattice exponent 1/ν across the census as well as the cut readings do?PG-01 · scored 10-24
Withdrawn5
137(T) On fresh full-side draws of H8 at L = 6561, does the 3/2 tooth (k = 3) survive every member of the declared set of backgrounds?PG-03 · scored 10-25
126On the 63 census generators, does the number of one-way pairs of the block transfer operator equal |U|·(511 − |U|), with U fixed by the right-column holes alone?PG-01 · scored 10-23
121Does O₂'s sign — the Li–Yorke slack on a hump map's core, in either orientation — separate period three exactly on hierarchical rules no run has computed: the NAE and band rules at k = 13 … 16, and random rules from the full box at k = 7 and 8?PG-03 · scored 10-23
120With the distance to period three measured on the map's core in both orientations (O₂), is O₂'s sign exactly the period-3 test on run 114's 286 exclusive rules, and does O₂ increase along the not-all-equal rules?PG-03 · scored 10-23
115On the twenty happy-family sporadic groups, do the three kinds of substructure they stabilise — V (a piece of the Leech lattice or Golay code), R (a ring or coordinate structure on the Leech lattice), F (the fixed points of an element or small subgroup of the Monster on V♮) — nest as R ⊂ V ⊂ F, group for group?PG-04 · scored 10-23
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