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The four-part split existed because the single report had grown dense and heavily cross-referenced; splitting traded that for a different cost, which the merged read makes visible. Section numbers (§1–§9, Appendices A–C) were already the stable identifiers, so the parts were a packaging choice, not a structural one. reports/tsi/tsi-report.md is now the whole report. Parts are interleaved back into section order — §1, §2–§5, §6, §7–§8, §9 + appendices — which is NOT concatenation order: Part 1 carried §1, §7 and §8, so appending files in sequence would have put §7–§8 ahead of §2. Every cross-file link collapses to an internal anchor; all 47 anchors resolve, all 37 figure embeds resolve, and no line of prose was lost (verified by diffing normalised content lines with link targets stripped — 0 lost, additions are the new header and table of contents). Coherence fixes the merge exposed, all artefacts of the split: - The roadmap paragraph described "four parts (see the index)" and is now a section-order roadmap, with its circular self-link to §1 dropped. - §7's figure-location note pointed readers at "the other parts". It now names the actual sections, and it was also WRONG about three figures: fig17/fig18/fig21 are in Appendix C and figB1/figB2 in Appendix B, not §9. It had also never been updated for fig30–fig35. - §9's "throughout this part" is now "throughout". README.md becomes a proper index — a section table pointing into the one document — rather than a list of four files. scripts/split_report.py is deleted: a one-time migration that produced the split, now both obsolete and pointing the wrong way. scripts/build_html.py was already broken before this change — it still read the report from tsi-sim-pernode/, where the files stopped living when they moved to reports/tsi/. Retargeted at reports/tsi/ and the single document; verified end-to-end (0 broken internal anchors, 0 unrewritten .md links, 37 images in the rendered HTML). Its output is now gitignored, as its docstring always claimed it was. Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
37 lines
4.2 KiB
Markdown
37 lines
4.2 KiB
Markdown
# Total-Stake-Inference parameter selection
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*Per-node network simulation of Cryptarchia Total Stake Inference (TSI). Simulator: [`tsi-sim-pernode`](../../tools/simulators/tsi/tsi-sim-pernode). All runs at the true security parameter **k = 2160** unless noted; latency is in slots and **1 slot = 1 s**.*
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This report selects and justifies the TSI parameters for Cryptarchia from a per-node network simulation. The whole report is one document — **[tsi-report.md](tsi-report.md)** — and section numbers (§1–§9, Appendices A–C) are stable identifiers referenced from the simulator and from spec discussion.
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> **Uncle references.** The model analysed throughout is the **countable** one: counting-only references, deduplicated by slot, drawn from first-fork blocks only, within a window derived as `w_u = W_abs/f`. An **unrestricted** baseline — any orphan in the window at any fork depth — is measured alongside it for comparison. The two are indistinguishable in the design regime `ρ < 1` and diverge only under overload. See the model note at the top of the [report](tsi-report.md), the mechanism in [§2.1](tsi-report.md#s2-1), the comparison in [§3.2](tsi-report.md#s3-2)–[§3.2a](tsi-report.md#s3-2a), and the reproduction notes in [§9](tsi-report.md#s9).
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## Contents
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**[Read the report →](tsi-report.md)**
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| § | what it covers |
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|---|---|
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| [§1](tsi-report.md#s1) | executive summary — the problem, the findings, the recommendation |
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| [§2](tsi-report.md#s2) | the model, the measurement convention, and the counting rule |
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| [§3](tsi-report.md#s3) | the findings and their evidence, including the high-precision design band ([§3.2a](tsi-report.md#s3-2a)) |
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| [§4](tsi-report.md#s4) | design equations and the parameter-selection algorithm |
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| [§5](tsi-report.md#s5) | caveats and regime of validity |
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| [§6](tsi-report.md#s6) | robustness — jitter, grinding, withholding, selfish mining, rewards, reorg depth, churn |
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| [§7](tsi-report.md#s7) | parameter reference — what each knob does |
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| [§8](tsi-report.md#s8) | the safest selection, residual risks, and the recommendation-vs-spec deltas |
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| [§9](tsi-report.md#s9) | reproducibility — how to re-run every study |
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| [A](tsi-report.md#sA) · [B](tsi-report.md#sB) · [C](tsi-report.md#sC) | the residual `f`-rounding offset · the per-epoch noise floor · consensus detail |
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## Headline recommendation
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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](tsi-report.md#s2-1), [§8.5](tsi-report.md#s8-5)) — 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](tsi-report.md#s8-1) 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 **[§8 →](tsi-report.md#s8)**.
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## Figures
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Figures are embedded from [`report-figures/`](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`](../../tools/simulators/tsi/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.
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## Reproducing the results
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The simulation code, configs, and run data live in [`tools/simulators/tsi/tsi-sim-pernode`](../../tools/simulators/tsi/tsi-sim-pernode). Every study's exact command is listed in [§9 — Reproducibility](tsi-report.md#s9). 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/`](report-figures) to update this report.
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