learn a field, then produce knowledge in it.

For 5,000 years every knowledge technology widened the access to CONSUME knowledge and none widened the access to PRODUCE it. A channel that is both scalable and production-reaching has been empty for all of recorded history — that empty cell is the consume-versus-produce gap. This ladder is Bucket's on-ramp across it: mastery → canon → tools → agent, with no gap between the rungs.

1. L0basic literacyconsume82.5% world access

   basic literacy / numeracy — read a simple text, do basic arithmetic

   The ladder begins here; Bucket’s climb starts at the next rung.

2. L1K-12 / secondaryconsume62.4% world access

   K-12 / secondary schooling — the shared foundations everyone is meant to reach

   Academy →Spaced-repetition mastery over the foundations of each branch — the consume rung, done honestly.
3. L2undergraduateconsume37.4% world access

   undergraduate — systematic command of a field's established core

   Academy mastery →Push a branch to high honest mastery (M = proficiency^α · retention^β) — the top of the consume side.
4. L3graduate / proffrontier8.1% world access

   graduate / professional — reading the field's own literature, not textbooks about it

   the canon →Free primary knowledge — axioms, real math, laws, primary derivations. The bridge from established knowledge toward the frontier.
5. L4frontier (read primary research)frontier0.14% world access

   frontier — reaching primary research: being a researcher, reading the primary literature

   canon + claims →Read the primary derivations and the claim graph at the boundary of a branch.research tools →40 instruments that let a motivated person DO frontier research, not only read about it.
6. L5producing new knowledgeproduce0.06% world access

   producing new knowledge — adding to the frontier: publishing, deriving what was not there before

   research agent →The terminal rung: a grounded plan→retrieve→synthesize→cite agent over the canon, literature, and the 40 tools — produce-side work, cited and reproducible.