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tcs-dag-viewer
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Paper DAG Viewer β€” HuggingFace</title>
<script src="https://d3js.org/d3.v7.min.js"></script>
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.11/dist/katex.min.css">
<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.11/dist/katex.min.js"></script>
<script defer src="https://cdn.jsdelivr.net/npm/katex@0.16.11/dist/contrib/auto-render.min.js"></script>
<style>
:root {
  --bg: #0f1117;
  --surface: #1a1d27;
  --surface2: #242836;
  --border: #2e3348;
  --text: #e2e4ed;
  --text-dim: #8b8fa3;
  --accent: #7c8aff;
  --accent-dim: #5c6adf;
}
* { margin: 0; padding: 0; box-sizing: border-box; }
body {
  font-family: -apple-system, BlinkMacSystemFont, 'Segoe UI', system-ui, sans-serif;
  background: var(--bg); color: var(--text);
  overflow: hidden; height: 100vh;
}

/* Layout */
#app { display: flex; height: 100vh; }

/* Paper selector panel (left) */
#paper-panel {
  width: 320px; background: var(--surface); border-right: 1px solid var(--border);
  display: flex; flex-direction: column; flex-shrink: 0; overflow: hidden;
  transition: width 0.2s;
}
#paper-panel.collapsed { width: 0; border: none; overflow: hidden; }
#paper-panel-header {
  padding: 16px; border-bottom: 1px solid var(--border); flex-shrink: 0;
}
#paper-panel-header h2 {
  font-size: 13px; font-weight: 600; color: var(--text-dim);
  text-transform: uppercase; letter-spacing: 0.5px; margin-bottom: 10px;
}
#paper-search {
  width: 100%; background: var(--surface2); border: 1px solid var(--border);
  border-radius: 6px; color: var(--text); padding: 7px 12px; font-size: 13px; outline: none;
}
#paper-search:focus { border-color: var(--accent); }
#paper-search::placeholder { color: var(--text-dim); }
#paper-count {
  font-size: 11px; color: var(--text-dim); margin-top: 8px;
}
#paper-list {
  flex: 1; overflow-y: auto; padding: 8px;
}
.paper-item {
  padding: 10px 12px; border-radius: 6px; cursor: pointer;
  margin-bottom: 4px; transition: background 0.15s; border: 1px solid transparent;
}
.paper-item:hover { background: var(--surface2); }
.paper-item.active { background: var(--accent-dim); border-color: var(--accent); }
.paper-item .paper-title {
  font-size: 13px; font-weight: 500; line-height: 1.3;
  display: -webkit-box; -webkit-line-clamp: 2; -webkit-box-orient: vertical; overflow: hidden;
}
.paper-item .paper-meta {
  font-size: 11px; color: var(--text-dim); margin-top: 4px;
  display: flex; gap: 8px;
}
.paper-item.active .paper-meta { color: rgba(255,255,255,0.7); }

/* Toggle button for paper panel */
#toggle-paper-panel {
  position: absolute; left: 320px; top: 50%; z-index: 11;
  background: var(--surface); border: 1px solid var(--border); border-left: none;
  border-radius: 0 6px 6px 0; padding: 8px 4px; cursor: pointer;
  color: var(--text-dim); font-size: 14px; transition: left 0.2s;
}
#toggle-paper-panel:hover { color: var(--text); }
#paper-panel.collapsed ~ #toggle-paper-panel { left: 0; }

/* Graph area */
#graph-container { flex: 1; position: relative; }
#detail-panel {
  width: 640px; background: var(--surface); border-left: 1px solid var(--border);
  overflow-y: auto; display: flex; flex-direction: column; transition: width 0.2s;
}
#detail-panel.collapsed { width: 0; border: none; }

/* Toolbar */
#toolbar {
  position: absolute; top: 0; left: 0; right: 0; z-index: 10;
  background: linear-gradient(to bottom, var(--bg) 60%, transparent);
  padding: 16px 20px 32px; display: flex; align-items: center; gap: 12px;
}
#toolbar h1 {
  font-size: 14px; font-weight: 600; color: var(--text-dim);
  white-space: nowrap; overflow: hidden; text-overflow: ellipsis; max-width: 400px;
}
#search {
  background: var(--surface2); border: 1px solid var(--border); border-radius: 6px;
  color: var(--text); padding: 6px 12px; font-size: 13px; width: 200px; outline: none;
}
#search:focus { border-color: var(--accent); }
#search::placeholder { color: var(--text-dim); }
.toolbar-group { display: flex; gap: 4px; }
.filter-btn {
  background: var(--surface2); border: 1px solid var(--border); border-radius: 4px;
  color: var(--text-dim); padding: 4px 10px; font-size: 11px; cursor: pointer;
  text-transform: uppercase; letter-spacing: 0.5px; transition: all 0.15s;
}
.filter-btn:hover { border-color: var(--text-dim); color: var(--text); }
.filter-btn.active { background: var(--accent-dim); border-color: var(--accent); color: #fff; }
.spacer { flex: 1; }

/* Legend */
#legend {
  position: absolute; bottom: 16px; left: 16px; z-index: 10;
  background: var(--surface); border: 1px solid var(--border); border-radius: 8px;
  padding: 12px 16px; font-size: 11px; display: flex; flex-direction: column; gap: 6px;
}
.legend-row { display: flex; align-items: center; gap: 8px; }
.legend-dot {
  width: 10px; height: 10px; border-radius: 50%; flex-shrink: 0;
}
.legend-line {
  width: 24px; height: 2px; flex-shrink: 0;
}

/* Tooltip */
#tooltip {
  position: absolute; pointer-events: none; z-index: 20;
  background: var(--surface2); border: 1px solid var(--border); border-radius: 6px;
  padding: 8px 12px; font-size: 12px; max-width: 300px;
  opacity: 0; transition: opacity 0.15s;
}
#tooltip.show { opacity: 1; }
#tooltip .tt-type { color: var(--accent); font-size: 10px; text-transform: uppercase; letter-spacing: 0.5px; }
#tooltip .tt-title { font-weight: 600; margin: 2px 0; }
#tooltip .tt-summary { color: var(--text-dim); font-size: 11px; }

/* SVG */
svg { width: 100%; height: 100%; }
.link { fill: none; stroke-width: 1.5; }
.link.primary { stroke: #4a5080; }
.link.secondary { stroke: #3a3e55; stroke-dasharray: 5 4; }
.link.highlighted { stroke: var(--accent); stroke-width: 2.5; }
.link.secondary.highlighted { stroke: var(--accent-dim); stroke-width: 2; }
.link.faded { opacity: 0.08; }
.node-circle { cursor: pointer; stroke-width: 2; transition: r 0.15s; }
.node-circle.faded { opacity: 0.15; }
.node-circle.selected { stroke: #fff !important; stroke-width: 3; }
.node-label {
  font-size: 11px; fill: var(--text-dim); pointer-events: none;
  text-anchor: middle; dominant-baseline: central;
}
.node-label.faded { opacity: 0.1; }
.arrowhead { fill: #4a5080; }
.arrowhead.highlighted { fill: var(--accent); }

/* Detail panel */
.panel-header {
  padding: 20px; border-bottom: 1px solid var(--border);
  position: sticky; top: 0; background: var(--surface); z-index: 1;
}
.panel-header .node-type-badge {
  display: inline-block; font-size: 10px; text-transform: uppercase;
  letter-spacing: 0.5px; padding: 2px 8px; border-radius: 3px;
  margin-bottom: 8px;
}
.panel-header h2 { font-size: 16px; font-weight: 600; line-height: 1.3; }
.panel-header .node-id { color: var(--text-dim); font-size: 12px; margin-top: 4px; }
.panel-body { padding: 20px; display: flex; flex-direction: column; gap: 16px; }
.panel-section h3 {
  font-size: 11px; text-transform: uppercase; letter-spacing: 0.5px;
  color: var(--text-dim); margin-bottom: 6px;
}
.panel-section p, .panel-section pre {
  font-size: 13px; line-height: 1.5; color: var(--text);
}
.panel-section pre {
  background: var(--surface2); border: 1px solid var(--border); border-radius: 6px;
  padding: 12px; overflow-x: auto; white-space: pre-wrap; word-break: break-word;
  font-family: 'SF Mono', 'Fira Code', 'Consolas', monospace; font-size: 12px;
  max-height: 400px; overflow-y: auto;
}
.panel-section .latex-block {
  background: var(--surface2); border: 1px solid var(--border); border-radius: 6px;
  padding: 14px; overflow-x: auto; overflow-y: auto; max-height: 500px;
  font-size: 14px; line-height: 1.7;
}
.panel-section .latex-block .katex-display { margin: 0.6em 0; }
.panel-section .latex-block .katex { font-size: 1em; }
.panel-section .meta-grid {
  display: grid; grid-template-columns: auto 1fr; gap: 4px 12px; font-size: 12px;
}
.panel-section .meta-key { color: var(--text-dim); }
.panel-section .meta-val { color: var(--text); }
.panel-section .edge-list { list-style: none; display: flex; flex-direction: column; gap: 6px; }
.panel-section .edge-item {
  font-size: 12px; padding: 6px 10px; background: var(--surface2);
  border-radius: 4px; cursor: pointer; transition: background 0.15s;
}
.panel-section .edge-item:hover { background: var(--border); }
.edge-item .edge-relation {
  font-size: 10px; text-transform: uppercase; letter-spacing: 0.3px;
  color: var(--accent); margin-right: 6px;
}
.edge-item .edge-primary { color: var(--text-dim); font-size: 10px; }
.panel-empty {
  display: flex; align-items: center; justify-content: center;
  height: 100%; color: var(--text-dim); font-size: 13px;
}
.importance-badge {
  display: inline-block; font-size: 10px; padding: 1px 6px; border-radius: 3px;
  margin-left: 6px;
}
.importance-badge.critical_path { background: #3d1f1f; color: #ff8a8a; }
.importance-badge.supporting { background: #1f2d3d; color: #8ac4ff; }
.importance-badge.context { background: #2d2d1f; color: #d4d48a; }

.proof-type-badge {
  display: inline-block; font-size: 10px; padding: 1px 6px; border-radius: 3px;
  margin-bottom: 6px;
}
.proof-type-badge.proof { background: #1f3d2a; color: #8affa8; }
.proof-type-badge.sketch { background: #3d3d1f; color: #ffd48a; }
.proof-type-badge.citation { background: #2a1f3d; color: #c48aff; }

/* Collapse button (right panel) */
#toggle-panel {
  position: absolute; right: 640px; top: 50%; z-index: 11;
  background: var(--surface); border: 1px solid var(--border); border-right: none;
  border-radius: 6px 0 0 6px; padding: 8px 4px; cursor: pointer;
  color: var(--text-dim); font-size: 14px; transition: right 0.2s;
}
#toggle-panel:hover { color: var(--text); }
#detail-panel.collapsed ~ #toggle-panel { right: 0; }

/* Loading overlay */
#loading {
  position: fixed; top: 0; left: 0; right: 0; bottom: 0;
  background: var(--bg); z-index: 100;
  display: flex; align-items: center; justify-content: center;
  flex-direction: column; gap: 16px;
}
#loading .spinner {
  width: 32px; height: 32px; border: 3px solid var(--border);
  border-top-color: var(--accent); border-radius: 50%;
  animation: spin 0.8s linear infinite;
}
@keyframes spin { to { transform: rotate(360deg); } }
#loading .load-text { color: var(--text-dim); font-size: 14px; }
#loading.hidden { display: none; }
</style>
</head>
<body>

<div id="loading">
  <div class="spinner"></div>
  <div class="load-text">Loading papers...</div>
</div>

<div id="app">
  <!-- Paper selector panel (left) -->
  <div id="paper-panel">
    <div id="paper-panel-header">
      <h2>Papers</h2>
      <input type="text" id="paper-search" placeholder="Filter papers...">
      <div id="paper-count"></div>
    </div>
    <div id="paper-list"></div>
  </div>
  <button id="toggle-paper-panel">&#9664;</button>

  <div id="graph-container">
    <div id="toolbar">
      <h1 id="paper-title">Select a paper</h1>
      <div class="spacer"></div>
      <input type="text" id="search" placeholder="Search nodes...">
      <div class="toolbar-group" id="importance-filters"></div>
      <div class="toolbar-group">
        <button class="filter-btn" id="toggle-secondary">Secondary edges</button>
      </div>
      <div class="toolbar-group" id="layout-btns">
        <button class="filter-btn active" data-layout="tree">Tree</button>
        <button class="filter-btn" data-layout="force">Force</button>
      </div>
    </div>
    <svg id="svg"></svg>
    <div id="tooltip">
      <div class="tt-type"></div>
      <div class="tt-title"></div>
      <div class="tt-summary"></div>
    </div>
    <div id="legend"></div>
  </div>
  <div id="detail-panel">
    <div class="panel-empty">Select a paper, then click a node</div>
  </div>
  <button id="toggle-panel">&#9654;</button>
</div>

<script>
// --- Color scheme ---
const TYPE_COLORS = {
  overview:        '#7c8aff',
  motivation:      '#c78aff',
  discussion:      '#ff8ac7',
  remark:          '#ff8a8a',
  definition:      '#52d6a8',
  assumption:      '#8adaff',
  claim:           '#ffd08a',
  theorem:         '#ff6b6b',
  lemma:           '#ffa36b',
  proposition:     '#ffda6b',
  corollary:       '#6bffc4',
  conjecture:      '#ff6bda',
  proof_technique: '#6bc4ff',
  example:         '#a8d86b',
  construction:    '#d8a86b',
};
const RELATION_COLORS = {
  depends_on:   '#ff8a6b',
  elaborates:   '#8ac4ff',
  proves:       '#6bffc4',
  motivates:    '#c78aff',
  instantiates: '#ffd08a',
  generalizes:  '#ff6bda',
  cites:        '#8adaff',
};

// --- HuggingFace dataset config ---
const HF_DATASET = 'AI-Math-TCS/tcs_dags';
const HF_CONFIG = 'FOCS_2025';
const HF_SPLIT = 'gpt_5_4';
const HF_API = 'https://datasets-server.huggingface.co/rows';

// --- Globals ---
let papers = [];
let dagCache = {};  // paper_id -> dag JSON string (cached from initial fetch)
let activePaperId = null;
let dag = null;
let nodes = [], links = [];
let simulation = null;
let svg, g, linkG, nodeG, labelG;
let zoom;
let selectedNode = null;
let currentLayout = 'tree';
let importanceFilter = new Set(['critical_path','supporting','context']);
let searchTerm = '';
let nodeMap = {};
let depthMap = {};
let width, height;
let currentZoomScale = 1;
let hoveredNode = null;
let showSecondaryEdges = false;
let treeChildren = {};
let treeRoot = null;
let controlsInitialized = false;

// --- Paper panel ---
async function loadPaperIndex() {
  const loadText = document.querySelector('#loading .load-text');
  try {
    loadText.textContent = 'Fetching papers from HuggingFace...';
    const url = `${HF_API}?dataset=${encodeURIComponent(HF_DATASET)}&config=${HF_CONFIG}&split=${HF_SPLIT}&offset=0&length=100`;
    const resp = await fetch(url);
    if (!resp.ok) throw new Error(`API error: ${resp.status}`);
    const data = await resp.json();

    loadText.textContent = `Processing ${data.rows.length} papers...`;
    papers = [];
    for (const entry of data.rows) {
      const row = entry.row;
      dagCache[row.paper_id] = row.dag;
      papers.push({
        paper_id: row.paper_id,
        title: row.title,
        authors: row.authors,
        year: row.year,
        venue: row.venue,
        num_nodes: row.num_nodes,
        num_edges: row.num_edges,
      });
    }
  } catch (e) {
    loadText.textContent = `Error loading data: ${e.message}`;
    return;
  }

  renderPaperList();
  document.getElementById('loading').classList.add('hidden');

  // If URL has a paper_id param, load it
  const params = new URLSearchParams(window.location.search);
  const pid = params.get('paper');
  if (pid && papers.some(p => p.paper_id === pid)) {
    loadPaper(pid);
  }
}

function renderPaperList(filter) {
  const list = document.getElementById('paper-list');
  const term = (filter || '').toLowerCase();
  const filtered = papers.filter(p =>
    !term ||
    p.title.toLowerCase().includes(term) ||
    p.paper_id.toLowerCase().includes(term) ||
    p.authors.toLowerCase().includes(term)
  );

  document.getElementById('paper-count').textContent = `${filtered.length} of ${papers.length} papers`;

  list.innerHTML = filtered.map(p => `
    <div class="paper-item ${p.paper_id === activePaperId ? 'active' : ''}"
         data-id="${p.paper_id}">
      <div class="paper-title">${esc(p.title)}</div>
      <div class="paper-meta">
        <span>${p.num_nodes} nodes</span>
        <span>${p.num_edges} edges</span>
        <span>${p.venue || ''}</span>
      </div>
    </div>
  `).join('');

  list.querySelectorAll('.paper-item').forEach(el => {
    el.addEventListener('click', () => loadPaper(el.dataset.id));
  });
}

async function loadPaper(paperId) {
  if (paperId === activePaperId) return;
  activePaperId = paperId;

  // Stop any running simulation from the previous paper
  if (simulation) { simulation.stop(); simulation = null; }

  // Update URL without reload
  const url = new URL(window.location);
  url.searchParams.set('paper', paperId);
  history.replaceState(null, '', url);

  // Highlight in list
  document.querySelectorAll('.paper-item').forEach(el => {
    el.classList.toggle('active', el.dataset.id === paperId);
  });

  // Load DAG from cache
  dag = JSON.parse(dagCache[paperId]);

  document.getElementById('paper-title').textContent = dag.paper_title || papers.find(p => p.paper_id === paperId)?.title || paperId;
  document.title = (dag.paper_title || paperId) + ' β€” DAG Viewer';

  // Normalize node/edge IDs: some HF data has unpadded IDs (node_9 vs node_09)
  normalizeDagIds();

  nodeMap = {};
  dag.nodes.forEach(n => nodeMap[n.id] = n);

  selectedNode = null;
  document.getElementById('detail-panel').innerHTML = '<div class="panel-empty">Click a node to view details</div>';

  buildSpanningTree();
  setupGraph();
  if (!controlsInitialized) {
    setupControls();
    controlsInitialized = true;
  }
  buildLegend();
  applyLayout();
}

// --- Spanning tree ---
// Build a spanning tree via BFS.  Primary edges alone often leave many
// disconnected components in the HF data, so we do a two-phase BFS:
//   1. Traverse primary edges from the root.
//   2. For any nodes still unreached, use ALL edges (including secondary)
//      to connect them into the tree, attaching each new component to the
//      nearest already-visited node.
function buildSpanningTree() {
  treeChildren = {};
  depthMap = {};

  // Build adjacency lists: primary-only and all-edges
  const primaryNeighbors = {};
  const allNeighbors = {};
  dag.edges.forEach(e => {
    allNeighbors[e.from] = allNeighbors[e.from] || [];
    allNeighbors[e.from].push(e.to);
    allNeighbors[e.to] = allNeighbors[e.to] || [];
    allNeighbors[e.to].push(e.from);
    if (e.is_primary) {
      primaryNeighbors[e.from] = primaryNeighbors[e.from] || [];
      primaryNeighbors[e.from].push(e.to);
      primaryNeighbors[e.to] = primaryNeighbors[e.to] || [];
      primaryNeighbors[e.to].push(e.from);
    }
  });

  treeRoot = dag.nodes.find(n => n.type === 'overview') || dag.nodes[0];

  const visited = new Set();
  const queue = [treeRoot.id];
  visited.add(treeRoot.id);
  depthMap[treeRoot.id] = 0;

  // Phase 1: BFS over primary edges
  function bfs(neighbors) {
    while (queue.length) {
      const id = queue.shift();
      const candidates = neighbors[id] || [];
      for (const cid of candidates) {
        if (!visited.has(cid)) {
          visited.add(cid);
          treeChildren[id] = treeChildren[id] || [];
          treeChildren[id].push(cid);
          depthMap[cid] = depthMap[id] + 1;
          queue.push(cid);
        }
      }
    }
  }

  bfs(primaryNeighbors);

  // Phase 2: connect unreached nodes via secondary edges.
  // For each unreached node that has a secondary-edge neighbor already in the
  // tree, attach it there and BFS its primary-connected component.
  if (visited.size < dag.nodes.length) {
    // Iterate until all nodes are reached (each pass may reveal new bridges)
    let changed = true;
    while (changed && visited.size < dag.nodes.length) {
      changed = false;
      for (const n of dag.nodes) {
        if (visited.has(n.id)) continue;
        // Look for any edge (primary or secondary) connecting to visited set
        const nbs = allNeighbors[n.id] || [];
        const bridge = nbs.find(nb => visited.has(nb));
        if (bridge) {
          visited.add(n.id);
          treeChildren[bridge] = treeChildren[bridge] || [];
          treeChildren[bridge].push(n.id);
          depthMap[n.id] = depthMap[bridge] + 1;
          queue.push(n.id);
          // BFS from this node using primary edges to pull in its component
          bfs(primaryNeighbors);
          changed = true;
        }
      }
    }
  }

  // Final fallback: any truly isolated nodes attach to root
  dag.nodes.forEach(n => {
    if (!visited.has(n.id)) {
      visited.add(n.id);
      treeChildren[treeRoot.id] = treeChildren[treeRoot.id] || [];
      treeChildren[treeRoot.id].push(n.id);
      depthMap[n.id] = 1;
    }
  });
}

function setupGraph() {
  const container = document.getElementById('graph-container');
  width = container.clientWidth;
  height = container.clientHeight;

  svg = d3.select('#svg');
  svg.selectAll('*').remove();

  const defs = svg.append('defs');
  ['primary','secondary','highlighted'].forEach(cls => {
    defs.append('marker')
      .attr('id', `arrow-${cls}`)
      .attr('viewBox', '0 -4 8 8')
      .attr('refX', 20).attr('refY', 0)
      .attr('markerWidth', 6).attr('markerHeight', 6)
      .attr('orient', 'auto')
      .append('path')
      .attr('d', 'M0,-3L7,0L0,3')
      .attr('class', `arrowhead ${cls}`);
  });

  g = svg.append('g');
  linkG = g.append('g').attr('class', 'links');
  nodeG = g.append('g').attr('class', 'nodes');
  labelG = g.append('g').attr('class', 'labels');

  zoom = d3.zoom()
    .scaleExtent([0.1, 4])
    .on('zoom', e => {
      g.attr('transform', e.transform);
      currentZoomScale = e.transform.k;
      resolveLabels();
    });
  svg.call(zoom);

  nodes = dag.nodes.map(n => ({
    id: n.id, data: n,
    radius: n.type === 'overview' ? 16 : (n.importance === 'critical_path' ? 12 : 9),
  }));

  links = dag.edges.map(e => ({
    source: e.from,
    target: e.to,
    data: e,
  }));

  renderLinks();
  renderNodes();
}

function renderLinks() {
  const linkSel = linkG.selectAll('path.link').data(links, d => `${d.source.id||d.source}-${d.target.id||d.target}`);
  linkSel.exit().remove();
  linkSel.enter().append('path')
    .attr('class', d => `link ${d.data.is_primary ? 'primary' : 'secondary'}`)
    .attr('marker-end', d => `url(#arrow-${d.data.is_primary ? 'primary' : 'secondary'})`);
}

function renderNodes() {
  const circleSel = nodeG.selectAll('circle.node-circle').data(nodes, d => d.id);
  circleSel.exit().remove();
  circleSel.enter().append('circle')
    .attr('class', 'node-circle')
    .attr('r', d => d.radius)
    .attr('fill', d => TYPE_COLORS[d.data.type] || '#888')
    .attr('stroke', d => d3.color(TYPE_COLORS[d.data.type] || '#888').darker(0.5))
    .on('click', (e, d) => { e.stopPropagation(); selectNode(d); })
    .on('mouseenter', (e, d) => { hoveredNode = d; showTooltip(e, d); resolveLabels(); })
    .on('mousemove', (e) => moveTooltip(e))
    .on('mouseleave', () => { hoveredNode = null; hideTooltip(); resolveLabels(); })
    .call(d3.drag()
      .on('start', dragStart)
      .on('drag', dragged)
      .on('end', dragEnd));

  const labelSel = labelG.selectAll('text.node-label').data(nodes, d => d.id);
  labelSel.exit().remove();
  labelSel.enter().append('text')
    .attr('class', 'node-label')
    .attr('dy', d => d.radius + 14)
    .text(d => truncate(d.data.title, 28));
}

function applyLayout() {
  if (simulation) simulation.stop();
  if (currentLayout === 'tree') applyTreeLayout();
  else applyForceLayout();
}

function applyTreeLayout() {
  if (!treeRoot) { applyForceLayout(); return; }

  function buildHier(id) {
    const ch = (treeChildren[id] || []).map(cid => buildHier(cid));
    return { id, children: ch.length ? ch : undefined };
  }

  const hierData = buildHier(treeRoot.id);
  const root = d3.hierarchy(hierData);

  const leafCount = root.leaves().length;
  const hSpacing = Math.max(60, Math.min(120, width / (leafCount + 1)));
  const treeLayout = d3.tree().nodeSize([hSpacing, 140]);
  treeLayout(root);

  const posMap = {};
  root.each(d => { posMap[d.data.id] = { x: d.x + width/2, y: d.y + 80 }; });

  nodes.forEach(n => {
    const pos = posMap[n.id] || { x: width/2, y: height - 80 };
    n.fx = pos.x;
    n.fy = pos.y;
    n.x = n.fx;
    n.y = n.fy;
  });

  // Apply positions to SVG immediately before starting the simulation,
  // so that fitToView sees correct bounding box.
  tick();

  simulation = d3.forceSimulation(nodes)
    .force('link', d3.forceLink(links).id(d => d.id).strength(0))
    .alphaDecay(0.1)
    .on('tick', tick);

  updateVisibility();
  fitToView(600);
}

function applyForceLayout() {
  const maxDepth = Math.max(...Object.values(depthMap));
  const ySpacing = height / (maxDepth + 2);

  nodes.forEach(n => { n.fx = null; n.fy = null; });

  simulation = d3.forceSimulation(nodes)
    .force('link', d3.forceLink(links).id(d => d.id).distance(100).strength(d => d.data.is_primary ? 0.7 : 0.1))
    .force('charge', d3.forceManyBody().strength(-300))
    .force('x', d3.forceX(width/2).strength(0.05))
    .force('y', d3.forceY(d => (depthMap[d.id] || 5) * ySpacing + 60).strength(0.3))
    .force('collision', d3.forceCollide().radius(d => d.radius + 12))
    .alphaDecay(0.02)
    .on('tick', tick);

  updateVisibility();
  setTimeout(() => fitToView(600), 1500);
}

function tick() {
  linkG.selectAll('path.link')
    .attr('d', d => {
      const sx = d.source.x, sy = d.source.y;
      const tx = d.target.x, ty = d.target.y;
      if (!d.data.is_primary) {
        const mx = (sx + tx) / 2 + (ty - sy) * 0.15;
        const my = (sy + ty) / 2 - (tx - sx) * 0.15;
        return `M${sx},${sy}Q${mx},${my},${tx},${ty}`;
      }
      return `M${sx},${sy}L${tx},${ty}`;
    });

  nodeG.selectAll('circle.node-circle')
    .attr('cx', d => d.x).attr('cy', d => d.y);

  labelG.selectAll('text.node-label')
    .attr('x', d => d.x).attr('y', d => d.y);

  resolveLabels();
}

function _labelPriority(d) {
  if (selectedNode && d.id === selectedNode.id) return 100;
  if (hoveredNode && d.id === hoveredNode.id) return 90;
  if (selectedNode) {
    const isConn = links.some(l => {
      const s = l.source.id||l.source, t = l.target.id||l.target;
      return (s === selectedNode.id && t === d.id) || (t === selectedNode.id && s === d.id);
    });
    if (isConn) return 80;
  }
  if (d.data.type === 'overview') return 70;
  if (d.data.importance === 'critical_path') return 60;
  if (d.data.importance === 'supporting') return 40;
  return 20;
}

function resolveLabels() {
  const labels = labelG.selectAll('text.node-label');
  const CHAR_W = 6.5;
  const LABEL_H = 16;

  const sorted = [...nodes].sort((a, b) => _labelPriority(b) - _labelPriority(a));
  const placed = [];
  const visibleIds = new Set();

  for (const nd of sorted) {
    const text = truncate(nd.data.title, 28);
    const hw = (text.length * CHAR_W / 2) / currentZoomScale;
    const hh = (LABEL_H / 2) / currentZoomScale;
    const cx = nd.x;
    const cy = nd.y + nd.radius + 14 / currentZoomScale;

    let overlaps = false;
    for (const p of placed) {
      if (Math.abs(cx - p.x) < (hw + p.hw) && Math.abs(cy - p.y) < (hh + p.hh)) {
        overlaps = true;
        break;
      }
    }

    const force = _labelPriority(nd) >= 70;
    if (!overlaps || force) {
      placed.push({ x: cx, y: cy, hw, hh });
      visibleIds.add(nd.id);
    }
  }

  labels.attr('opacity', d => visibleIds.has(d.id) ? 1 : 0);
}

// --- Interaction ---
function selectNode(d) {
  if (selectedNode === d) { deselectNode(); return; }
  selectedNode = d;

  const connectedIds = new Set([d.id]);
  links.forEach(l => {
    const sid = l.source.id || l.source;
    const tid = l.target.id || l.target;
    if (sid === d.id) connectedIds.add(tid);
    if (tid === d.id) connectedIds.add(sid);
  });

  nodeG.selectAll('circle.node-circle')
    .classed('selected', n => n.id === d.id)
    .classed('faded', n => !connectedIds.has(n.id));
  labelG.selectAll('text.node-label')
    .classed('faded', n => !connectedIds.has(n.id));
  linkG.selectAll('path.link')
    .classed('highlighted', l => (l.source.id||l.source) === d.id || (l.target.id||l.target) === d.id)
    .classed('faded', l => (l.source.id||l.source) !== d.id && (l.target.id||l.target) !== d.id)
    .attr('marker-end', l => {
      const involved = (l.source.id||l.source) === d.id || (l.target.id||l.target) === d.id;
      return involved ? 'url(#arrow-highlighted)' : `url(#arrow-${l.data.is_primary?'primary':'secondary'})`;
    });

  showDetailPanel(d.data);
}

function deselectNode() {
  selectedNode = null;
  nodeG.selectAll('circle.node-circle').classed('selected', false).classed('faded', false);
  labelG.selectAll('text.node-label').classed('faded', false);
  linkG.selectAll('path.link')
    .classed('highlighted', false).classed('faded', false)
    .attr('marker-end', l => `url(#arrow-${l.data.is_primary?'primary':'secondary'})`);
  document.getElementById('detail-panel').innerHTML = '<div class="panel-empty">Click a node to view details</div>';
}

function showDetailPanel(n) {
  const panel = document.getElementById('detail-panel');
  const color = TYPE_COLORS[n.type] || '#888';

  const inEdges = dag.edges.filter(e => e.from === n.id);
  const outEdges = dag.edges.filter(e => e.to === n.id);

  let html = `
    <div class="panel-header">
      <span class="node-type-badge" style="background:${color}22;color:${color}">${n.type}</span>
      <span class="importance-badge ${n.importance}">${(n.importance || '').replace('_',' ')}</span>
      <h2>${esc(n.title)}</h2>
      <div class="node-id">${n.id}${n.section_ref ? ' &middot; ' + esc(n.section_ref) : ''}</div>
    </div>
    <div class="panel-body">
      <div class="panel-section">
        <h3>Summary</h3>
        <p>${esc(n.summary)}</p>
      </div>`;

  if (n.formal_statement) {
    html += `
      <div class="panel-section">
        <h3>Formal Statement</h3>
        <div class="latex-block" data-latex="formal_statement"></div>
      </div>`;
  }

  if (n.proof_type && n.proof_content) {
    html += `
      <div class="panel-section">
        <h3>Proof / Derivation</h3>
        <span class="proof-type-badge ${n.proof_type}">${n.proof_type}</span>
        <div class="latex-block" data-latex="proof_content"></div>
      </div>`;
  }

  html += `
      <div class="panel-section">
        <h3>Metadata</h3>
        <div class="meta-grid">
          <span class="meta-key">Source</span><span class="meta-val">${n.source}${n.citation ? ' &mdash; ' + esc(n.citation) : ''}</span>
          ${n.citation_full ? `<span class="meta-key">Reference</span><span class="meta-val">${esc(n.citation_full)}</span>` : ''}
          <span class="meta-key">Excerpt</span><span class="meta-val">${esc(n.source_text_excerpt || '')}</span>
        </div>
      </div>`;

  if (inEdges.length) {
    html += `
      <div class="panel-section">
        <h3>Parents (${n.id} &rarr;)</h3>
        <ul class="edge-list">${inEdges.map(e => edgeItem(e, e.to)).join('')}</ul>
      </div>`;
  }
  if (outEdges.length) {
    html += `
      <div class="panel-section">
        <h3>Children (&rarr; ${n.id})</h3>
        <ul class="edge-list">${outEdges.map(e => edgeItem(e, e.from)).join('')}</ul>
      </div>`;
  }

  html += '</div>';
  panel.innerHTML = html;

  panel.querySelectorAll('[data-latex]').forEach(el => {
    const field = el.dataset.latex;
    if (!n[field]) return;
    let text = n[field];
    // If text already has $ delimiters, use as-is; otherwise add them
    if (!/\$/.test(text)) {
      text = addMathDelimiters(text);
    }
    el.textContent = text;
  });

  renderLatex(panel);

  panel.querySelectorAll('.edge-item').forEach(el => {
    el.addEventListener('click', () => {
      const nid = el.dataset.nodeid;
      const nd = nodes.find(n => n.id === nid);
      if (nd) selectNode(nd);
    });
  });
}

function renderLatex(el) {
  if (typeof renderMathInElement !== 'function') {
    setTimeout(() => renderLatex(el), 100);
    return;
  }
  renderMathInElement(el, {
    delimiters: [
      { left: '$$', right: '$$', display: true },
      { left: '$', right: '$', display: false },
      { left: '\\[', right: '\\]', display: true },
      { left: '\\(', right: '\\)', display: false },
    ],
    throwOnError: false,
  });
}

function edgeItem(edge, otherId) {
  const other = nodeMap[otherId];
  const name = other ? other.title : otherId;
  const color = other ? TYPE_COLORS[other.type] : '#888';
  const relColor = RELATION_COLORS[edge.relation] || '#888';
  return `<li class="edge-item" data-nodeid="${otherId}">
    <span class="edge-relation" style="color:${relColor}">${edge.relation}</span>
    <span style="color:${color}">${esc(truncate(name, 40))}</span>
    ${edge.is_primary ? '<span class="edge-primary">PRIMARY</span>' : ''}
    ${edge.description ? '<br><span style="color:var(--text-dim);font-size:11px">' + esc(edge.description) + '</span>' : ''}
  </li>`;
}

// --- Tooltip ---
function showTooltip(event, d) {
  const tt = document.getElementById('tooltip');
  tt.querySelector('.tt-type').textContent = d.data.type;
  tt.querySelector('.tt-title').textContent = d.data.title;
  tt.querySelector('.tt-summary').textContent = truncate(d.data.summary, 120);
  tt.classList.add('show');
  moveTooltip(event);
}
function moveTooltip(event) {
  const tt = document.getElementById('tooltip');
  tt.style.left = (event.clientX + 12) + 'px';
  tt.style.top = (event.clientY - 10) + 'px';
}
function hideTooltip() {
  document.getElementById('tooltip').classList.remove('show');
}

// --- Controls ---
function setupControls() {
  svg.on('click', () => deselectNode());

  // Node search
  document.getElementById('search').addEventListener('input', e => {
    searchTerm = e.target.value.toLowerCase();
    updateVisibility();
  });

  // Paper search
  document.getElementById('paper-search').addEventListener('input', e => {
    renderPaperList(e.target.value);
  });

  // Importance filters
  const filterContainer = document.getElementById('importance-filters');
  ['critical_path','supporting','context'].forEach(imp => {
    const btn = document.createElement('button');
    btn.className = 'filter-btn active';
    btn.textContent = imp.replace('_',' ');
    btn.dataset.importance = imp;
    btn.addEventListener('click', () => {
      if (importanceFilter.has(imp)) { importanceFilter.delete(imp); btn.classList.remove('active'); }
      else { importanceFilter.add(imp); btn.classList.add('active'); }
      updateVisibility();
    });
    filterContainer.appendChild(btn);
  });

  // Secondary edges toggle
  document.getElementById('toggle-secondary').addEventListener('click', () => {
    showSecondaryEdges = !showSecondaryEdges;
    document.getElementById('toggle-secondary').classList.toggle('active', showSecondaryEdges);
    updateVisibility();
  });

  // Layout toggle
  document.querySelectorAll('#layout-btns .filter-btn').forEach(btn => {
    btn.addEventListener('click', () => {
      document.querySelectorAll('#layout-btns .filter-btn').forEach(b => b.classList.remove('active'));
      btn.classList.add('active');
      currentLayout = btn.dataset.layout;
      applyLayout();
    });
  });

  // Right detail panel toggle
  document.getElementById('toggle-panel').addEventListener('click', () => {
    const panel = document.getElementById('detail-panel');
    panel.classList.toggle('collapsed');
    const btn = document.getElementById('toggle-panel');
    btn.innerHTML = panel.classList.contains('collapsed') ? '&#9664;' : '&#9654;';
    btn.style.right = panel.classList.contains('collapsed') ? '0' : '640px';
  });

  // Left paper panel toggle
  document.getElementById('toggle-paper-panel').addEventListener('click', () => {
    const panel = document.getElementById('paper-panel');
    panel.classList.toggle('collapsed');
    const btn = document.getElementById('toggle-paper-panel');
    btn.innerHTML = panel.classList.contains('collapsed') ? '&#9654;' : '&#9664;';
    btn.style.left = panel.classList.contains('collapsed') ? '0' : '320px';
  });

  // Resize
  window.addEventListener('resize', () => {
    width = document.getElementById('graph-container').clientWidth;
    height = document.getElementById('graph-container').clientHeight;
  });
}

function updateVisibility() {
  const visible = new Set();
  nodes.forEach(n => {
    const matchImportance = importanceFilter.has(n.data.importance);
    const matchSearch = !searchTerm ||
      n.data.title.toLowerCase().includes(searchTerm) ||
      n.data.id.toLowerCase().includes(searchTerm) ||
      n.data.type.toLowerCase().includes(searchTerm) ||
      (n.data.summary || '').toLowerCase().includes(searchTerm);
    if (matchImportance && matchSearch) visible.add(n.id);
  });

  nodeG.selectAll('circle.node-circle')
    .attr('opacity', d => visible.has(d.id) ? 1 : 0.1);
  labelG.selectAll('text.node-label')
    .attr('opacity', d => visible.has(d.id) ? 1 : 0.08);
  linkG.selectAll('path.link')
    .attr('opacity', l => {
      if (!showSecondaryEdges && !l.data.is_primary) return 0;
      const sid = l.source.id || l.source;
      const tid = l.target.id || l.target;
      return visible.has(sid) && visible.has(tid) ? 1 : 0.05;
    });
}

// --- Drag ---
function dragStart(event, d) {
  if (!event.active && simulation) simulation.alphaTarget(0.1).restart();
  d.fx = d.x; d.fy = d.y;
}
function dragged(event, d) {
  d.fx = event.x; d.fy = event.y;
}
function dragEnd(event, d) {
  if (!event.active && simulation) simulation.alphaTarget(0);
  if (currentLayout === 'force') { d.fx = null; d.fy = null; }
}

// --- Fit view ---
function fitToView(duration) {
  const bounds = g.node().getBBox();
  if (bounds.width === 0 || bounds.height === 0) return;
  const pad = 60;
  const scale = Math.min(
    (width - pad*2) / bounds.width,
    (height - pad*2) / bounds.height,
    1.5
  );
  const tx = width/2 - (bounds.x + bounds.width/2) * scale;
  const ty = height/2 - (bounds.y + bounds.height/2) * scale;
  svg.transition().duration(duration)
    .call(zoom.transform, d3.zoomIdentity.translate(tx, ty).scale(scale));
}

// --- Legend ---
function buildLegend() {
  const present = new Set(dag.nodes.map(n => n.type));
  const legend = document.getElementById('legend');
  let html = '<div style="font-weight:600;margin-bottom:4px;font-size:12px">Node Types</div>';
  Object.entries(TYPE_COLORS).forEach(([type, color]) => {
    if (!present.has(type)) return;
    html += `<div class="legend-row"><span class="legend-dot" style="background:${color}"></span>${type}</div>`;
  });
  html += '<div style="margin-top:8px;font-weight:600;margin-bottom:4px;font-size:12px">Edges</div>';
  html += `<div class="legend-row"><span class="legend-line" style="background:#4a5080"></span>Primary</div>`;
  html += `<div class="legend-row"><span class="legend-line" style="background:#3a3e55;border-top:2px dashed #3a3e55;height:0"></span>Secondary</div>`;
  legend.innerHTML = html;
}

// --- Helpers ---
// Normalize IDs: some HF DAGs have unpadded node refs in edges (node_9 vs node_09).
// Build a lookup from the canonical node IDs and fix any edge refs that don't match.
function normalizeDagIds() {
  const nodeIds = new Set(dag.nodes.map(n => n.id));
  // Build map: unpadded -> padded (e.g. node_9 -> node_09)
  const fixMap = {};
  nodeIds.forEach(id => {
    const m = id.match(/^(node_)0*(\d+)$/);
    if (m) fixMap[m[1] + m[2]] = id;  // node_9 -> node_09
  });
  dag.edges = dag.edges.map(e => ({
    ...e,
    from: nodeIds.has(e.from) ? e.from : (fixMap[e.from] || e.from),
    to:   nodeIds.has(e.to)   ? e.to   : (fixMap[e.to]   || e.to),
  }));
  // Drop edges that still reference non-existent nodes
  dag.edges = dag.edges.filter(e => nodeIds.has(e.from) && nodeIds.has(e.to));
}

function truncate(s, n) { return s && s.length > n ? s.slice(0, n) + '...' : (s || ''); }
function esc(s) { const d = document.createElement('div'); d.textContent = s || ''; return d.innerHTML; }

// Wrap math spans in $...$ for text that lacks delimiters.
// Splits text into tokens, classifying each as math or prose based on
// the presence of math indicators (^, _, {}, \commands, operators, etc.).
function addMathDelimiters(text) {
  // Regex matching a "math span": a sequence that contains math-indicative
  // characters/patterns, including surrounding variable names and operators.
  // We match greedily and rely on the join logic to merge adjacent spans.
  //
  // Math indicators:
  //   \command    ^{...}   _{...}   single-letter vars with sub/superscript
  //   math symbols: β‰₯ ≀ ∈ βŠ† βŠ‡ ∩ βˆͺ Γ— βŠ— β†’ ← β‰  β‰ˆ βˆ€ βˆƒ βˆ… ∞ β„“ βˆ‚ βˆ‘ ∏ Ξ»
  //   common patterns: f(x), O(n), Pr[...], E[...]

  // If the text has LaTeX commands, use the original line-based approach
  // but enhanced to also catch bare math
  return text.split('\n').map(line => {
    if (/\$/.test(line)) return line;  // already delimited

    // Strategy: split on sentence-like boundaries and wrap segments
    // that look mathematical.
    const mathIndicators = /[\\^_{}β‰₯β‰€βˆˆβŠ†βŠ‡βŠ‚βŠƒβˆ©βˆͺΓ—βŠ—β†’β†β†¦β‰ β‰ˆβˆ€βˆƒβˆ…βˆžβ„“βˆ‚βˆ‘βˆΞ»ΞΌΟƒΞ΄Ξ΅Ξ±Ξ²Ξ³Ξ”Ξ©Ξ˜Ξ£Ξ Ξ¦Ξ¨]/;
    const mathPattern = /(?:\\[a-zA-Z]+(?:\{[^}]*\})*|[A-Za-z0-9_]+[\^_]\{[^}]*\}|[A-Za-z0-9_]+[\^_][A-Za-z0-9]|\|[^|]+\||[β‰₯β‰€βˆˆβŠ†βŠ‡βŠ‚βŠƒβˆ©βˆͺΓ—βŠ—β†’β†β†¦β‰ β‰ˆβˆ€βˆƒβˆ…βˆžβ„“βˆ‚βˆ‘βˆΞ»ΞΌΟƒΞ΄Ξ΅Ξ±Ξ²Ξ³Ξ”Ξ©Ξ˜Ξ£Ξ Ξ¦Ξ¨])/;

    // If the line has no math indicators at all, return as-is
    // Also check for "X = ..." patterns (single capital + equals)
    if (!mathIndicators.test(line) && !/[A-Z]_/.test(line) && !/\^/.test(line)
        && !/(?:^|[\s(])[A-Z]\s*=/.test(line)) {
      return line;
    }

    // For lines that are mostly math (formal statements), wrap the whole
    // thing as inline math segments. Split on sentence boundaries: periods
    // followed by space+capital, or colons/semicolons.
    const segments = line.split(/(?<=\.\s)(?=[A-Z])|(?<=:\s)|(?<=;\s)/);

    return segments.map(seg => {
      if (/\$/.test(seg)) return seg;  // already has delimiters
      if (!mathIndicators.test(seg) && !/[A-Z]_/.test(seg) && !/\^/.test(seg) && !/[=<>]/.test(seg)) {
        return seg;  // pure prose
      }

      // Walk through the segment, wrapping math-like tokens in $...$
      // We split on word boundaries and classify runs.
      let result = '';
      let mathBuf = '';
      let proseBuf = '';

      // Tokenize: split into "words" preserving whitespace and punctuation
      const tokens = seg.match(/:=|\\[{}|]|\\[a-zA-Z]+(?:\{[^}]*\})*|[A-Za-z0-9']+(?:[\^_]\{[^}]*\}|[\^_][A-Za-z0-9])*|\{[^}]*\}|[β‰₯β‰€βˆˆβŠ†βŠ‡βŠ‚βŠƒβˆ©βˆͺΓ—βŠ—β†’β†β†¦β‰ β‰ˆβˆ€βˆƒβˆ…βˆžβ„“βˆ‚βˆ‘βˆΞ»ΞΌΟƒΞ΄Ξ΅Ξ±Ξ²Ξ³Ξ”Ξ©Ξ˜Ξ£Ξ Ξ¦Ξ¨]+|[=<>]+|[,;.:!?]+|[/\-+*|]|\(|\)|\[|\]|\s+|./g);
      if (!tokens) return seg;

      const PROSE_WORDS = new Set([
        'a','an','as','at','be','by','do','if','in','is','it','no','of',
        'on','or','so','to','up','we','and','are','can','for','has','its',
        'may','not','our','the','was','all','but','let','say','set','via',
      ]);

      function isMathToken(t) {
        if (!t) return false;
        if (/^\\/.test(t)) return true;                    // \command
        if (/[\^_{}]/.test(t)) return true;                // sub/superscript or braces
        if (/[β‰₯β‰€βˆˆβŠ†βŠ‡βŠ‚βŠƒβˆ©βˆͺΓ—βŠ—β†’β†β†¦β‰ β‰ˆβˆ€βˆƒβˆ…βˆžβ„“βˆ‚βˆ‘βˆΞ»ΞΌΟƒΞ΄Ξ΅Ξ±Ξ²Ξ³Ξ”Ξ©Ξ˜Ξ£Ξ Ξ¦Ξ¨]/.test(t)) return true;
        if (/^[=<>]+$/.test(t) || t === ':=') return true;   // comparison/assignment ops
        if (/^[A-Z]$/.test(t)) return true;                // single capital (likely variable)
        if (/^[a-z]$/.test(t) && !PROSE_WORDS.has(t)) return true; // single lowercase variable (not a common word)
        if (/^[0-9]+$/.test(t)) return true;               // bare number (in math context)
        return false;
      }

      // Track brace depth so we never flush a math span with unbalanced braces
      let braceDepth = 0;

      function flushMath() {
        if (mathBuf.trim()) result += '$' + mathBuf.trim() + '$';
        else result += mathBuf;
        mathBuf = '';
        braceDepth = 0;
      }
      function flushProse() {
        result += proseBuf;
        proseBuf = '';
      }

      function updateBraceDepth(t) {
        // Skip escaped braces \{ \} β€” they don't affect grouping depth
        if (t === '\\{' || t === '\\}') return;
        for (const ch of t) {
          if (ch === '{') braceDepth++;
          if (ch === '}') braceDepth--;
        }
      }

      let inMath = false;
      for (let i = 0; i < tokens.length; i++) {
        const t = tokens[i];
        const isWs = /^\s+$/.test(t);
        const isPunct = /^[,;.:!?]+$/.test(t);
        const isBracket = /^[(\)\[\]]$/.test(t);
        const isMathOp = /^[/+*|]$/.test(t);
        const isMinus = t === '-';
        const isMath = isMathToken(t);

        if (isWs || isPunct || isBracket || isMathOp || isMinus) {
          if (inMath) {
            // Don't break out of math if braces are unbalanced
            if (braceDepth !== 0) {
              mathBuf += t;
              continue;
            }
            // Look ahead: if next non-ws token is math, stay in math
            let nextMath = false;
            for (let j = i + 1; j < tokens.length; j++) {
              if (/^\s+$/.test(tokens[j])) continue;
              nextMath = isMathToken(tokens[j]) || /^[(\)\[\]/+*|]$/.test(tokens[j]);
              break;
            }
            if (nextMath || isBracket || isMathOp) {
              mathBuf += t;
            } else {
              flushMath();
              inMath = false;
              proseBuf += t;
            }
          } else {
            proseBuf += t;
          }
        } else if (isMath) {
          if (!inMath) {
            flushProse();
            inMath = true;
          }
          mathBuf += t;
          updateBraceDepth(t);
        } else {
          // Prose word (multiple chars, not a math token)
          if (inMath) {
            // Don't break out if braces are unbalanced
            if (braceDepth !== 0) {
              mathBuf += t;
              continue;
            }
            flushMath();
            inMath = false;
          }
          proseBuf += t;
        }
      }
      // Flush remaining
      if (inMath) flushMath();
      else flushProse();

      return result;
    }).join('');
  }).join('\n');
}

loadPaperIndex();
</script>
</body>
</html>