Name: Anthropic 数学行业应用模型排行榜（2026-08-22） | AITNT
Creator: LM Arena
License: https://creativecommons.org/licenses/by/4.0/
Keywords: Anthropic,行业数学,AI 大语言模型排行榜,AI 模型排行

LM Arena 大模型全球实力榜LM Arena Global AI Leaderboard行业数学🧭Industry Math

查看各种 AI 大语言模型在数学推理、代码生成、创意写作及其他开放式文本任务中的综合 Elo 积分排名，数据来源于真实用户的匿名盲测投票。

2026-08-22

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上榜模型Models

参赛厂商Providers

141.5K

总投票数Total Votes

📖 指标说明 — 读懂这张榜单📖 Metrics Guide — Understanding the Leaderboard

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榜单主指标（Score）Primary Metric (Score)

每个榜单会采用官网对应的核心排序指标。通用 Arena 榜单通常是模型竞技积分；智能体榜单则展示净提升及多项任务指标。

Each leaderboard uses the official primary ranking metric. Most Arena boards use competitive scores; the Agent board uses net improvement and task-specific metrics.

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精确值（Float Value）Float Value

主指标的完整浮点数值。对于通用 Arena 榜单可用于区分整数分相近的模型；智能体榜单以百分比和置信区间展示。

The full floating-point value of the primary metric. It helps distinguish close scores on standard boards; Agent metrics are shown as percentages with confidence intervals.

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方差（Variance）Variance

衡量结果的统计稳定程度。绿色·稳定（<5）更可信；橙色·波动（5~12）；红色·不稳（>12）说明排名还可能明显变化。

Measures statistical stability. Green·Stable (<5); Orange·Unstable (5–12); Red·Volatile (>12) means the ranking may still move significantly.

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置信区间（95% CI = ±N）95% Confidence Interval (CI = ±N)

95% 置信区间反映当前估计的不确定范围，显示为 ±N。在相同计算口径下，N 越小说明估计越集中、排名越稳定。

The 95% confidence interval, shown as ±N, summarizes uncertainty in the current estimate. Under the same methodology, a smaller N indicates a more precise estimate and a more stable ranking.

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投票数（Vote Count）Vote Count

该模型或厂商参与评测的总次数。数量越高，结果的统计置信度越高、越不容易受单次样本影响而波动。

Total evaluation volume for the model or lab. Higher counts mean higher statistical confidence and less sensitivity to individual samples.

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开源协议（License）License

Apache/Llama：完全开源可商用；MIT：开源限制极少；Proprietary：闭源商业模型。协议决定你能否把它集成到自己的产品里。

Apache/Llama: Fully open-source, commercial use allowed; MIT: Open-source, minimal restrictions; Proprietary: Closed-source commercial model. License determines if you can integrate it into your product.

排名Rank	名次区间Rank Range	模型Model		投票数Votes	精确分 & 区间Float Score & CI	方差Variance	价格 ($/1M)Price ($/1M)	上下文Context
🥇	1 - 14	claude-opus-5-high Anthropic · Proprietary	1534±17.0	1.5K 票votes	1534.000 [1517.0, 1551.0]	13.00 · 不稳Volatile	—	—
🥈	1 - 14	claude-opus-4-6-high Anthropic · Proprietary	1527±11.0	3.6K 票votes	1527.000 [1516.0, 1538.0]	13.00 · 不稳Volatile	—	—
🥉	1 - 34	claude-opus-5-max Anthropic · Proprietary	1518±23.0	717 票votes	1518.000 [1495.0, 1541.0]	33.00 · 不稳Volatile	—	—
4	1 - 24	claude-opus-4-6 Anthropic · Proprietary	1515±10.0	4.2K 票votes	1515.000 [1505.0, 1525.0]	23.00 · 不稳Volatile	$5 / $25	1M
5	1 - 32	claude-fable-5 Anthropic · Proprietary	1515±17.0	1.3K 票votes	1515.000 [1498.0, 1532.0]	31.00 · 不稳Volatile	—	—
6	1 - 26	claude-opus-4-7-high Anthropic · Proprietary	1513±11.0	3.3K 票votes	1513.000 [1502.0, 1524.0]	25.00 · 不稳Volatile	—	—
7	3 - 39	claude-opus-4-8-high Anthropic · Proprietary	1503±13.0	2.3K 票votes	1503.000 [1490.0, 1516.0]	36.00 · 不稳Volatile	—	—
8	3 - 40	claude-opus-4-7 Anthropic · Proprietary	1500±11.0	3.5K 票votes	1500.000 [1489.0, 1511.0]	37.00 · 不稳Volatile	$5 / $25	1M
9	7 - 53	claude-sonnet-4-6 Anthropic · Proprietary	1485±11.0	3.7K 票votes	1485.000 [1474.0, 1496.0]	46.00 · 不稳Volatile	$3 / $15	1M
10	5 - 67	claude-sonnet-5-high Anthropic · Proprietary	1483±16.0	1.4K 票votes	1483.000 [1467.0, 1499.0]	62.00 · 不稳Volatile	—	—
11	6 - 60	claude-opus-4-8 Anthropic · Proprietary	1483±13.0	2.4K 票votes	1483.000 [1470.0, 1496.0]	54.00 · 不稳Volatile	—	—
12	13 - 67	claude-opus-4-5-20251101 Anthropic · Proprietary	1478±10.0	3.5K 票votes	1478.000 [1468.0, 1488.0]	54.00 · 不稳Volatile	$5 / $25	200K
13	17 - 78	claude-sonnet-4-5-20250929-high-32k Anthropic · Proprietary	1470±10.0	4.0K 票votes	1470.000 [1460.0, 1480.0]	61.00 · 不稳Volatile	—	—
14	15 - 89	claude-opus-4-5-20251101-high-32k Anthropic · Proprietary	1468±15.0	1.6K 票votes	1468.000 [1453.0, 1483.0]	74.00 · 不稳Volatile	—	—
15	37 - 109	claude-sonnet-4-5-20250929 Anthropic · Proprietary	1452±10.0	4.1K 票votes	1452.000 [1442.0, 1462.0]	72.00 · 不稳Volatile	$3 / $15	200K
16	37 - 114	claude-opus-4-1-20250805-thinking-16k Anthropic · Proprietary	1451±12.0	2.4K 票votes	1451.000 [1439.0, 1463.0]	77.00 · 不稳Volatile	$15 / $75	200K
17	45 - 125	claude-opus-4-1-20250805 Anthropic · Proprietary	1441±9.0	3.9K 票votes	1441.000 [1432.0, 1450.0]	80.00 · 不稳Volatile	$15 / $75	200K
18	62 - 137	claude-haiku-4-5-20251001 Anthropic · Proprietary	1431±8.0	6.2K 票votes	1431.000 [1423.0, 1439.0]	75.00 · 不稳Volatile	$1 / $5	200K
19	64 - 151	claude-opus-4-20250514-thinking-16k Anthropic · Proprietary	1426±13.0	2.1K 票votes	1426.000 [1413.0, 1439.0]	87.00 · 不稳Volatile	$15 / $75	200K
20	83 - 168	claude-sonnet-4-20250514-thinking-32k Anthropic · Proprietary	1411±13.0	1.9K 票votes	1411.000 [1398.0, 1424.0]	85.00 · 不稳Volatile	$3 / $15	1M
21	88 - 167	claude-opus-4-20250514 Anthropic · Proprietary	1410±11.0	2.6K 票votes	1410.000 [1399.0, 1421.0]	79.00 · 不稳Volatile	$15 / $75	200K
22	114 - 181	claude-3-7-sonnet-20250219-thinking-32k Anthropic · Proprietary	1392±11.0	2.6K 票votes	1392.000 [1381.0, 1403.0]	67.00 · 不稳Volatile	$3 / $15	200K
23	114 - 186	claude-sonnet-4-20250514 Anthropic · Proprietary	1391±12.0	2.3K 票votes	1391.000 [1379.0, 1403.0]	72.00 · 不稳Volatile	$3 / $15	1M
24	154 - 201	claude-3-7-sonnet-20250219 Anthropic · Proprietary	1364±10.0	3.2K 票votes	1364.000 [1354.0, 1374.0]	47.00 · 不稳Volatile	$3 / $15	200K
25	159 - 201	claude-3-5-sonnet-20241022 Anthropic · Proprietary	1360±7.0	8.6K 票votes	1360.000 [1353.0, 1367.0]	42.00 · 不稳Volatile	$3 / $15	200K
26	181 - 215	claude-3-5-sonnet-20240620 Anthropic · Proprietary	1339±8.0	10.0K 票votes	1339.000 [1331.0, 1347.0]	34.00 · 不稳Volatile	$3 / $15	200K
27	201 - 245	claude-3-opus-20240229 Anthropic · Proprietary	1310±7.0	23.0K 票votes	1310.000 [1303.0, 1317.0]	44.00 · 不稳Volatile	$15 / $75	200K
28	208 - 256	claude-3-5-haiku-20241022 Anthropic · Proprietary	1300±8.0	5.8K 票votes	1300.000 [1292.0, 1308.0]	48.00 · 不稳Volatile	$0.80 / $4	200K
29	250 - 280	claude-3-sonnet-20240229 Anthropic · Proprietary	1261±8.0	12.4K 票votes	1261.000 [1253.0, 1269.0]	30.00 · 不稳Volatile	$3 / $15	200K
30	268 - 299	claude-3-haiku-20240307 Anthropic · Proprietary	1239±8.0	13.5K 票votes	1239.000 [1231.0, 1247.0]	31.00 · 不稳Volatile	$0.25 / $1.25	200K

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