feat: publish numerics and optimization chapter

src/pages/index.astro

@@ -13,6 +13,7 @@ const routes: Record<string, string> = {
   "long-context": "/long-context/",
   reasoning: "/reasoning/",
   "training-systems": "/training-systems/",
+  "systems/numerics": "/systems/numerics/",
 };
 
 const paths = [
@@ -86,6 +87,7 @@ const paths = [
           <a class="button" href="/long-context/">长上下文专题</a>
           <a class="button" href="/reasoning/">推理专题</a>
           <a class="button" href="/training-systems/">训练系统专题</a>
+          <a class="button" href="/systems/numerics/">数值与优化专题</a>
         </div>
       </div>
       <aside class="hero-aside" aria-label="项目统计">
@@ -95,20 +97,36 @@ const paths = [
         <div class="hero-stats">
           <div><b>16</b><span>核心专题</span></div>
           <div><b>151</b><span>K3 报告来源</span></div>
-          <div><b>202</b><span>关键论文索引</span></div>
+          <div><b>223</b><span>关键论文索引</span></div>
           <div><b>47p</b><span>K3 技术报告</span></div>
         </div>
       </aside>
     </div>
     <div class="scope-strip">
       <span>研究范围</span>
-      <p>表示学习 · Transformer · Scaling · 数据工程 · MoE · 长上下文 · 训练系统 · 后训练 · 推理 · Agent · 多模态 · 服务与评测</p>
+      <p>表示学习 · Transformer · Scaling · 数据工程 · MoE · 长上下文 · 训练系统 · 数值优化 · 后训练 · 推理 · Agent · 多模态 · 服务与评测</p>
       <a href="/progress/">查看实时进度 →</a>
     </div>
   </section>
 
   <section class="section compact release-section" id="new-chapters">
     <div class="release-grid">
+      <a class="release-card numerics-release" href="/systems/numerics/">
+        <div>
+          <p class="eyebrow"><span>NEW / CHAPTER 09</span> PRECISION · OPTIMIZATION · STABILITY</p>
+          <h2>少几个比特为什么省巨资，也可能让训练瞬间崩掉？</h2>
+          <p>
+            用表示、缩放、计算、累加、搬运、更新、参数化、观测、恢复与证据十张账，
+            从 mixed precision、BF16、FP8 和 MXFP4，一路走到 AdamW、Muon、Kimi K2/K3 与 DeepSeek-V3/V4。
+          </p>
+        </div>
+        <dl>
+          <div><dt>LINEAGE</dt><dd>2014 → 2026</dd></div>
+          <div><dt>PAPERS</dt><dd>36 个一手节点</dd></div>
+          <div><dt>LAB</dt><dd>格式 · 状态 · 更新 · 失稳</dd></div>
+        </dl>
+        <span class="release-arrow" aria-hidden="true">进入数值与优化专题 →</span>
+      </a>
       <a class="release-card data-release" href="/pretraining/data/">
         <div>
           <p class="eyebrow"><span>NEW / CHAPTER 05</span> DATA & PRE-TRAINING</p>
@@ -438,6 +456,7 @@ const paths = [
       transition: transform 180ms ease, border-color 180ms ease;
     }
 
+    .numerics-release,
     .data-release,
     .scaling-release,
     .training-release,
@@ -446,6 +465,14 @@ const paths = [
       min-height: 510px;
     }
 
+    .numerics-release {
+      background:
+        radial-gradient(circle at 82% 18%, rgba(113, 82, 137, 0.2), transparent 30%),
+        repeating-linear-gradient(90deg, transparent 0 64px, rgba(113, 82, 137, 0.045) 64px 65px),
+        repeating-linear-gradient(0deg, transparent 0 64px, rgba(76, 118, 112, 0.04) 64px 65px),
+        var(--paper-raised);
+    }
+
     .data-release {
       background:
         radial-gradient(circle at 82% 18%, rgba(76, 118, 112, 0.2), transparent 30%),
@@ -536,6 +563,7 @@ const paths = [
         padding-bottom: 76px;
       }
 
+      .numerics-release,
       .data-release,
       .scaling-release,
       .training-release,