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Red commit: `6b68080c24106301b6bfc25f8a05484f07d0612d` (test added that fails on master). CI: see Checks tab on this PR. Fixes #1270. ## Problem Two analytics surfaces told contradictory stories about prefix usage: - **Prefix Tool → Network Overview** showed e.g. `168 / 65,536` for the 2-byte tier — a pure math fact: every repeater pubkey sliced to 2 bytes yields N distinct values. Because collisions are rare, this number always equals (or nearly equals) the repeater count, making it look like the whole network uses 2-byte hashing. - **Hash Stats → By Repeaters** showed configured-hash-size counts straight from `/api/analytics/hash-sizes` `distributionByRepeaters` — usually a minority on 2-byte and near-zero on 3-byte. The Prefix Tool was presenting a math fact as if it were operational truth. ## Fix `renderPrefixTool` now also fetches `/api/analytics/hash-sizes` and restructures each tier card into three labeled stats with explicit hierarchy: 1. **Primary** — `X of Y repeaters configured` (from `distributionByRepeaters`). Same source the Hash Stats tab uses, so the two pages agree exactly. 2. **Operational collisions** — colliding slices among repeaters configured for *this* hash size only (matches Hash Issues semantics). 3. **Theoretical** (secondary, smaller, dashed-rule footnote) — `X unique N-byte slices across all repeater pubkeys (of Y possible)`. The math fact is preserved as educational info, no longer impersonating operational truth. The "Total repeaters" card now also notes how many have a known configured hash size. The "About these numbers" footer was rewritten to explain the three numbers and link to both Hash Stats and Hash Issues. The prefix collision detector (Check / Generate panels) is unchanged — it still scans every repeater pubkey because that is its job. ## Test Added `#1270 Prefix Tool primary counts match Hash Stats By Repeaters` to `test-e2e-playwright.js`. It fetches `/api/analytics/hash-sizes` for the ground-truth `distributionByRepeaters`, then visits `#/analytics?tab=prefix-tool`, opens Network Overview, and scrapes the primary count via a new `data-pt-configured="<bytes>"` `data-value="<count>"` marker on each tier card, asserting exact equality for 1/2/3-byte. - Red commit `6b68080c` (test only): fails on master with `NO data-pt-configured marker`. - Green commit `12ed2789` (fix): test passes; full E2E suite `123/126 passed, 3 skipped`. ## Acceptance - [x] Prefix Tool Network Overview shows configured-hash-size repeater counts as the primary number - [x] "Unique slices" math is shown as secondary/educational - [x] Two pages tell the same story (E2E asserts byte-equal match) - [x] E2E asserts the configured-count matches what Hash-Sizes tab shows at the same point in time