ECDLP-69

A ladder of elliptic curves nobody has solved, and one coin that rents the machines climbing it. Every curve comes out of a public string, so the answers are unknown to everyone, this project included.

Attacking rung 69 waiting for its first rented card

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The problem

Two points sit on an elliptic curve over a prime field. The first is P, the second is Q, and somewhere there is a whole number k with k · P = Q. Finding it is the discrete logarithm problem, and it is what keeps a private key private.

Every rung of this ladder is a brand new curve, derived in the open from one public string. P and Q are hashed onto it, so nobody knows k in advance, this project included. Checking a claimed answer takes one multiplication, and your browser does it below.

Rung 69 is the one the ladder is named after, and it is the one that gets solved live on the day the token opens. Everything above it costs more cards than anyone has rented for a joke.

Where the money goes

Creator fees of $ECDLP are forwarded to the keeper wallet, and the keeper splits every arrival three ways.

  • 65%rents the cards and pays the research models
  • 15%prize pool, paid to the person who answers first
  • 20%buys $ECDLP back and burns it on every record

The keeper wallet is created at launch. Nothing has been collected yet.

The curve

Every value above is recomputed from the seed. The generator and the maths are open: run them and you get this file back.

The budget

0.00SOL collected

A rung opens when the pot covers the cards it needs. Until then the machine stays off and the rung stays open to people.

Humans / Machines

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Humans

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Machines

A rung goes to whoever sends the right number first. The machine has no head start: it reads the same public string you do.

Rungs that have fallen

    Send an answer

    The check runs here, in your browser. It is the same multiplication the keeper runs.

    Or send it on chain

    A memo transaction to the keeper wallet reading ECDLP <bits> <k> counts the same, and its timestamp is the one that decides a tie. The keeper wallet is published here at launch.

    $ECDLP

    The contract that pays for all of this.

    not published yet

    pump.fun Chart Follow

     

    The three addresses this runs on

    Bits against cost

    Work doubles every two bits. The ladder ends where rented cards end, well short of the curves that hold real keys.

    The ladder

    Ten rungs, each a curve of its own, each derived from the string printed under it. Pick one.

    Rung 69

    The agents

    Research models propose changes to the solver. Every proposal is benchmarked in a sandbox against the current kernel, and only a measured speedup is kept.

    Proposals

      How it works

      1. A string becomes a curve

        The seed ECDLP-69/69/<counter> is hashed until it yields a prime field and a curve of prime order. P and Q are hashed onto that curve. No key was ever chosen, so no answer was ever known.

      2. The coin rents the cards

        Creator fees arrive at the keeper wallet. Sixty five percent of every arrival goes to graphics cards rented by the hour, and the rung opens the moment the pot covers it.

      3. The machines walk the curve

        Parallel Pollard rho with distinguished points. Thousands of walks wander the group and report the rare points whose coordinate ends in zeros. Two walks reporting the same point give up the answer. The walk is written down so anyone can race it.

      4. A record pays out

        The solve is written on chain as a memo: rung, answer, time, cost. Twenty percent of the pot buys $ECDLP and burns it. If a person got there first, the prize pool is theirs.

      What this is not

      This is a measurement, not a breakthrough. Pollard rho on a curve of n bits costs about 2^(n/2) operations and no amount of rented hardware changes that exponent. secp256k1 and Ed25519 sit near 2^128 operations, out of reach of this method and of this project. We only ever touch our own synthetic curves and published challenge problems. A real mathematical break would be world news, and it is not what the ladder is for.