The assessment is based on a convergence of evidence from multiple highly authoritative and relevant sources. A primary source from CoinMarketCap, despite being a page for a different cryptocurrency (IOTA), explicitly shows a price widget with 'Ethereum $4,014.55,' providing direct and specific proof that Ethereum's price has surpassed the $4,000 threshold. This is corroborated by three other primary sources from top-tier financial data providers (Coinbase, Yahoo Finance, and Investing.com), all of which are described as containing the necessary historical price data, charts, and all-time high information that would confirm such a price event. There is no conflicting evidence presented; the irrelevant sources focus on other cryptocurrencies (Bitcoin, TRON, ENS) or on forward-looking predictions, and thus do not challenge the claim. The consistency across multiple high-authority sources provides a high degree of confidence in the statement's truthfulness.