Tool · Difficulty & emission
Emission curve
How much PRL exists at any height, and what each block pays
What it does
Drag across the chart (or use the slider) to pick any block height. The readout shows the most a block at that height may pay its miner, the most PRL that can exist by then, and the share of the 2.1 billion total. Switch between Issued supply and Reward per block.
How to read it
- The violet curve is Pearl. The dashed orange line is a made-up halving schedule with the same 2.1 billion cap that also issues half by block C, for comparison only. Bitcoin’s real schedule has different numbers.
- The dashed vertical line marks C = 650,226: the height at which half of all PRL has been issued, about four years in.
- The green line marks the latest height: the dated snapshot, or the live tip when it loads.
- Dates are nominal: genesis plus exactly 194 seconds per block. Real blocks run a little faster or slower.
Pearl specifics
- The subsidy is S·C / ((h + C)(h − 1 + C)) grains, rounded down, with S = 2.1 × 10¹⁷ grains. It shrinks a little every block instead of halving every few years. Genesis paid nothing; block 1 paid 3,229.64134063 PRL.
- The total issued by height h telescopes to S·h / (h + C): half at h = C, 75% at 3C, 90% at 9C.
- The curve is a ceiling. A miner may claim less, and transaction fees come on top of the subsidy.
Under the hood
Runs entirely in your browser. Rewards and totals come from src/lib/emission.ts, which mirrors pearld’s
CalcBlockSubsidy with exact BigInt math; its unit tests check the research subsidy table and that the closed
form matches the exact block-by-block sum. The halving line is drawn by the tool itself and is not a Pearl rule.