From 563db81b42cbf74df43817b3dafabb03356df09f Mon Sep 17 00:00:00 2001 From: Marcin Pawlowski Date: Mon, 10 Aug 2026 12:46:38 +0200 Subject: [PATCH] Re-run fig38's effort arm on the engine's stake vector MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit uncle_parent_window.py has two arms: recovery, which calls run_trajectory, and effort, which rebuilds a tree by hand. Only the second was affected by the stake_for correction — it drew stake from rng_for while the trajectory it sits beside drew from the spawned child, so the two arms described different networks. The recovery numbers are unchanged (they always came from the engine). The effort numbers move but the conclusion does not: delta=4, 30% adversary median reach 20 144 -> 11 563 max ~76 770 delta=8, 30% adversary median reach 6 390 -> 2 465 delta=16, 30% adversary median reach 872 -> 206 parent-anchored, same adversary: 293 / 298 / 300 slots, capped at w_u A 30% deep-parent coalition still drags the median counted reference from ~55 slots back to over 11 000 and the worst case to the epoch boundary, and the parent anchor still caps it at the window by construction. §6.12's table and prose updated to the re-measured values. Co-Authored-By: Claude Opus 5 --- reports/tsi/README.md | 12 ++++++------ .../fig38_uncle_parent_window.png | Bin 198660 -> 198463 bytes 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/reports/tsi/README.md b/reports/tsi/README.md index 3e431da..f3c85ef 100644 --- a/reports/tsi/README.md +++ b/reports/tsi/README.md @@ -814,18 +814,18 @@ Nothing about this is expensive for the attacker. It spends lottery wins it alre | `δ_max` | adversary | oldest state reached: median / p99 / max (slots) | |---|---|---| -| 4 | none | 54 / 131 / 233 | -| 4 | **30 %** | **20 144 / 75 525 / 76 778** | -| 8 | 30 % | 6 390 / 75 272 / 76 789 | -| 16 | 30 % | 872 / 75 109 / 76 798 | +| 4 | none | 55 / 126 / 202 | +| 4 | **30 %** | **11 563 / 75 478 / 76 773** | +| 8 | 30 % | 2 465 / 75 172 / 76 774 | +| 16 | 30 % | 206 / 75 095 / 76 760 | -A 30 % coalition moves the *median* referenced parent from 54 slots back to 20 144, and the worst case to the epoch boundary — about 21 hours of history, ~256× the nominal window, on a reference the estimator counts. And the amplification is not a tail: at the deployment's own operating point the median reference reaches ten thousand slots back. +A 30 % coalition moves the *median* referenced parent from 55 slots back to 11 563, and the worst case to the epoch boundary — about 21 hours of history, ~256× the nominal window, on a reference the estimator counts. And the amplification is not a tail: at the deployment's own operating point the median reference reaches ten thousand slots back. **The fix is a substitution, not an addition.** Anchor the window to the parent: `sl_A − sl_parent(U) ≤ w_u`. Because a block strictly postdates its parent and a referenced uncle strictly precedes its referencer — both invariants pinned in `tests/test_slot_ordering.py` — the parent gap is never smaller than the uncle gap: > `sl_A − sl_U < sl_A − sl_parent(U) ≤ w_u` -so bounding the parent bounds the uncle *for free*. A rule imposing both windows would be identical to the parent rule alone, which is why only two arms are simulated. Under it the same 30 % coalition reaches 292 / 300 / 300 slots at the three delays — capped at `w_u` by construction, a bound that now actually holds. +so bounding the parent bounds the uncle *for free*. A rule imposing both windows would be identical to the parent rule alone, which is why only two arms are simulated. Under it the same 30 % coalition reaches 293 / 298 / 300 slots at the three delays — capped at `w_u` by construction, a bound that now actually holds. **What it costs: nothing at the recommended cap, but the window floor moves.** A latency orphan's parent is recent by construction — it forked off the chain a block or two ago — so at the recommended `U = ⌈ρ⌉ + 1` the anchor is free: `D̂/D` reads **0.9993 → 0.9999** at `δ_max` = 4, **0.9969 → 0.9986** at 8 and **0.9791 → 0.9858** at 16 (uncle- → parent-anchored, `U` = 4), no loss anywhere within one to two standard errors. diff --git a/reports/tsi/report-figures/fig38_uncle_parent_window.png b/reports/tsi/report-figures/fig38_uncle_parent_window.png index 733c126f51d33f1d365f7205e2550ea6705c7656..6a0bd61987ef52609d7d4375bab3122e15bc99b5 100644 GIT binary patch literal 198463 zcmeFZXH-+`*Ds2qU<0fuAfTeSl_tGNC{m>((xoV!P(%nN7*J6VX`)D#-i1&T5JEr{ zL3#-!k`N*yHH1zOLb*@&|2^+L=RKeAx9b>=&BzXMvDP!^{IyB6iIEP+G2UY=EG!&% 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