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<!doctype html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width,initial-scale=1"><title>WIRE reproduction</title><style>*{box-sizing:border-box}body{margin:0;background:linear-gradient(135deg,#eef2ff,#ecfeff);font:16px/1.45 system-ui;color:#172033}main{max-width:1120px;margin:24px auto;padding:34px;background:white;border-radius:22px;box-shadow:0 18px 50px #24304a22}h1{font-size:36px;margin:0}.sub{color:#596579;margin:8px 0 24px}.hero,.grid{display:grid;grid-template-columns:repeat(3,1fr);gap:16px}.hero{margin-bottom:18px}.metric,.card{border:1px solid #dae3ef;border-radius:16px;padding:18px}.metric{text-align:center;background:#f8fafc}.metric b{display:block;font-size:29px;color:#4f46e5}.card:nth-child(1){border-top:5px solid #4f46e5}.card:nth-child(2){border-top:5px solid #0d9488}.card:nth-child(3){border-top:5px solid #2563eb}h2{font-size:18px;margin:0 0 8px}ul{padding-left:20px}.foot{margin-top:20px;color:#596579;border-top:1px solid #dae3ef;padding-top:14px}@media(max-width:760px){.hero,.grid{grid-template-columns:1fr}}</style></head><body><main><h1>WIRE: Rotary Position Encodings for Graphs</h1><div class="sub">Independent operator-level audit 路 OpenReview trn64znfNx</div><section class="hero"><div class="metric"><b>15 / 15</b>graphs structurally encoded</div><div class="metric"><b>45 / 45</b>resistance pairs verified</div><div class="metric"><b>18,725x</b>largest memory ratio</div></section><section class="grid"><article class="card"><h2>Graph rotations</h2><ul><li>Permutation equivariance exact</li><li>Nonconstant attention every graph</li><li>Relative identity at 2.78e-16</li></ul></article><article class="card"><h2>RoPE and resistance</h2><ul><li>Path/grid closed forms recovered</li><li>Fourth-order remainder observed</li><li>Independent quadrature oracle</li></ul></article><article class="card"><h2>Linear attention</h2><ul><li>Dense identity to 2.16e-15</li><li>2,048-token scaling test</li><li>224-element intermediate</li></ul></article></section><div class="foot">Clean-room NumPy/SciPy 路 8 assertions 路 full rows, source, figure, and SHA-256 manifest</div></main></body></html>