Which company has the best Math AI model end of July?

Platform comparison

Market context

The market bets on which firm will hold the top Chatbot Arena rank for mathematics by late July 2026, with Anthropic’s Claude Opus 4‑6‑Thinking currently leading the math category at 1,518 Elo [1]. Crowd pricing sits at 50% YES, implying a coin‑flip between the likely frontrunners, while sportsbook lines on comparable tech‑winner contracts often show a 5–8% divergence from prediction‑market implied probabilities when the outcome hinges on a single leaderboard snapshot.

Historical leaderboard swings show that math Elo is among the fastest‑improving categories, gaining 172 points since tracking began and averaging 10.4 points per month [1]. In prior months, the gap between GPT‑5.4 and Claude Opus 4.6 was statistically negligible for most tasks, with only an 8‑Elo difference separating them in general reasoning [3]. Such tight margins mean a single new release or a minor data‑set shift can flip the top rank, as Chatbot Arena is highly sensitive to small data changes [8].

Traders should watch for model announcements in the week before 31 July, especially any Math‑focused updates from Anthropic, OpenAI, or Google, and monitor the daily LMSys Chatbot Arena updates for the “Text Arena | Math” table [7]. A recent leaderboard history review notes that the top Arena Elo rose from 1,094 in May 2023 to 1,501 by July 2026, underscoring rapid iteration cycles that could alter the final rank [1]. Dependencies include the exact check time (12:00 PM ET) and the style‑control setting, which must be off for resolution [market description].

Sources: 1 · 2 · 3 · 4 · 5

Methodology

Methodologically we separate two layers: the live probability (Polymarket mid-price) and the platform attributes (fee, KYC, settlement currency, payment rails). That keeps the comparison honest — a single canonical probability across the row, with the venue-by-venue trade-offs spelt out in the columns next to it.

Resolution & payout

Settlement runs on-chain. Polymarket's contract logic separates YES and NO shares as conditional tokens; at resolution the winning share lifts to $1.00 and the losing one to $0. The outcome input comes from the UMA Optimistic Oracle, which secures against bad resolution with a bond + dispute window.

Once finalised, the smart contract pays USDC to the holders' wallets within minutes — no withdrawal fees beyond Polygon network gas. Kalshi settles in USD via CFTC clearance, Betfair in account currency net of commission, Manifold in play-money mana with no cash-out.

FAQ

Is this market available outside the US?

Polymarket itself is geo-blocked in the US/UK/EU. Always check the legal status of prediction markets in your jurisdiction before trading.

How does resolution work?

Through the UMA Optimistic Oracle on Polygon: a proposer submits the outcome, a two-hour challenge window opens, and USDC payouts settle automatically once the result is final.

What's the difference between YES and NO shares?

A YES share pays $1.00 if the event happens, $0 otherwise. A NO share pays $1.00 if the event doesn't happen. The market price between 0¢ and 100¢ is the implied probability.

What does Polymarket cost to trade?

Polymarket itself charges 0% — the only cost is the Polygon network fee, typically under $0.01 per transaction. Off-chain venues like Kalshi or Betfair charge 2-7% commission.

How reliable are the quoted odds?

The YES/NO percentages are the live mid-prices of the Polymarket order book. On deep markets they move every few seconds; on thinner ones you'll see short plateaus.