cb58cd7ead
Applied the reconstructed round-4 review to the TSI parameter-selection report set (reports/tsi) and executed the follow-ups. Report (reports/tsi): - Applied the must+should findings across README + parts 1-4: cross-part numeric corrections, figure-caption fixes, spec reconciliation, and cross-file companions (hops-degradation and notch/reward numbers, tip-agreement ordering, density-window timing, VRF -> ZK Proof-of-Leadership, w_u window/reward gloss). - Editorial pass for timeless voice (no "now adopted / merged / coin" narration) and a gentle spec-safety framing (recommendations are thresholds; the protocol's MAX_UNCLES=4 sits safely above them). - Added the fork-rate-vs-scale table (6.10), defined "grinding gain", promoted the clock-skew study to its own paragraph, added the correlated-latency caveat, and moved fig27/fig28 beside their discussion. - Documented the Blend cascade in 2: hops propagate over the shared gossip graph (not direct links), the final broadcast comes from the last relay, relays are blind forwarders. Simulator (tools/simulators/tsi/tsi-sim-pernode): - Docstring/dead-code fixes: theory.block_count_ceiling (legacy framing), measure, reorg (catch-up reading), metrics (removed two dead helpers), config (fixed_point 10^-6; clock_skew_max/lottery_chunks documented inert), stake_vs_delay. - Generator correctness + regenerated figures: figures_pernode.CONFIG_COLS now exhaustive (f no longer pooled); rho_boundary_analysis SEM across replicates + hollow floored markers + de-hardcoded ell_mean (measured from the run's graph); appendix_fluct per-N sigma + ~18x title (figB2); bootstrap_dynamics driving estimate so fig1 epoch-0 matches genesis. - pytest: 186 passed; report links 528/0 dangling. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
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Total-Stake-Inference parameter selection
Per-node network simulation of Cryptarchia Total Stake Inference (TSI). Simulator: tsi-sim-pernode. All runs at the true security parameter k = 2160 unless noted; latency is in slots and 1 slot = 1 s.
This report selects and justifies the TSI parameters for Cryptarchia from a per-node network simulation. It is split into four cohesive parts; section numbers (§1–§9, A–C) are stable identifiers preserved across the set.
Parts
- Overview and recommendations — the executive summary, the per-knob parameter reference (§7), and the safest selection with residual risks and the recommendation-vs-spec deltas (§8).
- Accuracy and design — the model and counting rule (§2), the seven findings and their evidence (§3), the design equations and selection algorithm (§4), and the caveats and regime of validity (§5).
- Robustness and incentives — jitter, grinding, withholding, selfish mining, the reward design, fork/reorg depth, and organic churn (§6).
- Reproducibility and appendices — how to re-run every study (§9), the residual f-rounding offset (App A), the per-epoch noise floor (App B), and consensus detail (App C).
Headline recommendation
Cryptarchia baseline f = 1/30. Two design choices are foundational: count uncles per occupied slot, not per block — the density-bug fix that lands the estimate at exactly D (§2.1, §8.5) — and make genesis D̂ a single protocol constant, identical at every node, never client-configurable, since a per-node divergence is never self-corrected (§8.1 row 7). The settings: security k = 2160, uncle window W = 300 slots, uncle cap U ≥ ⌈ρ⌉ + 1 (2 at the Blend target; the protocol's MAX_UNCLES = 4 sits safely above it), learning rate β = 1, on-chain f at 10⁻⁶ precision, peering degree ≥ 6 at scale, soft uncle rewards with w_u + w_n < 1, and operate at load ρ = f·D_vis < 1. The full recommended-configuration table and rationale are in Part 1 →.
Figures
Figures are embedded from report-figures/ via relative links and are versioned here alongside the report. They are produced by the simulator's plotting scripts (scripts/*.py and tsi_sim.plotting) in tsi-sim-pernode; that simulation folder does not commit its own generated figures — the copies checked in here are the report's figures of record.
Reproducing the results
The simulation code, configs, and run data live in tools/simulators/tsi/tsi-sim-pernode. Every study's exact command is listed in Part 4 — Reproducibility (§9). In short, from the simulator directory: make install, then make <config> to run a sweep (results land under runs/<timestamp>_<label>/), and the per-figure generators under scripts/ render the figures. Regenerated figures must be copied into report-figures/ to update this report.