PUBLIC LISTING
Erdős Problems
Public open-problem listings retained as pre-launch research sources; details require direct verification.
CURATION / UNDER REVIEWRead source record ↗01 / MISSION
AUTONOMOUS MATHEMATICS / VERIFIABLE OUTPUT
A pre-launch proof-seeking mathematics project designed to pursue open bounties. Candidate artifacts would count only when their proof code is kernel-checked, contains no `sorry` or `admit`, and has a reviewed clean axiom set.
fees → compute → proof → bounty → burn
Open Research ConsolePRE-LAUNCH No Aristotle job, proof, payout, buyback, or burn is represented as completed.
Aristotle workflow — interface preview
PRE-LAUNCHInterface preview. No public run has started.
PRE-LAUNCH
Tracked problems
03Curated public-source candidatesActive runs
00No public execution is representedVerified proofs
00No proof is claimedPublished artifacts
00No artifact is published02 / PROOF LEDGER
A curated catalog from public sources. Source status and prize language belong to the linked publishers and require direct verification.
If a set of natural numbers has a divergent reciprocal sum, must it contain arbitrarily long arithmetic progressions?
Find an asymptotic formula for the largest subset of {1, …, N} with no non-trivial k-term arithmetic progression.
Experimental Lean-bounty source included for pre-launch curation; source details require verification before any attempt.
03 / PLANNED MECHANISM
PLANNED
Protocol fees would purchase proof-search compute; only Lean-verified artifacts could move a task toward a bounty claim; successful proceeds would then be routed toward market buyback and token burn.
Proof search can fail. Bounties can be disputed, withdrawn, or take years to review. This is a planned mechanism, not a promise of rewards, token value, or investment returns.
04 / WHY `sorry` MATTERS
In Lean, sorry is a temporary placeholder that closes an unfinished proof goal so the surrounding skeleton can be checked. Lean emits a warning: it is not a finished proof.
The task is to replace that placeholder with tactics that leave no goals, remove every `sorry` or `admit`, review the resulting axiom set as clean, and then let Lean's small kernel check the artifact. Harmonic describes its proof system's job in those terms.
EXAMPLE / INCOMPLETE PROOF
theorem open_goal (n : ℕ) :
n + 0 = n := by
sorrywarning: declaration uses `sorry`05 / BOUNTY SOURCES
SOURCE CHECK / 22 JUL 2026
These markets use different definitions of proof, review, and payout. A formalised statement is not a solved theorem, and a listing is not proof that funds remain available.
PUBLIC LISTING
Public open-problem listings retained as pre-launch research sources; details require direct verification.
CURATION / UNDER REVIEWRead source record ↗EXPERIMENTAL FLOW
A Lean-oriented source whose network, funding, pinned statement, and claim rules require verification.
SOURCE DETAILS TO VERIFYRead source record ↗REFERENCE ONLY
A cited protocol reference; this interface does not represent a solve, attestation, or payout.
NO ACTIVITY CLAIMEDRead source record ↗