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math-research-assistant

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LukasBe commited on May 2, 2025

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README.md +7 -5
index.html +525 -19
prompts.txt +1 -0

README.md CHANGED Viewed

@@ -1,10 +1,12 @@
 ---
-title: Math Research Assistant
-emoji: 😻
-colorFrom: blue
-colorTo: indigo
 sdk: static
 pinned: false
 ---
-Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference

 ---
+title: math-research-assistant
+emoji: 🐳
+colorFrom: green
+colorTo: green
 sdk: static
 pinned: false
+tags:
+  - deepsite
 ---
+Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference

index.html CHANGED Viewed

@@ -1,19 +1,525 @@
-<!doctype html>
-<html>
-	<head>
-		<meta charset="utf-8" />
-		<meta name="viewport" content="width=device-width" />
-		<title>My static Space</title>
-		<link rel="stylesheet" href="style.css" />
-	</head>
-	<body>
-		<div class="card">
-			<h1>Welcome to your static Space!</h1>
-			<p>You can modify this app directly by editing <i>index.html</i> in the Files and versions tab.</p>
-			<p>
-				Also don't forget to check the
-				<a href="https://huggingface.co/docs/hub/spaces" target="_blank">Spaces documentation</a>.
-			</p>
-		</div>
-	</body>
-</html>

+<!DOCTYPE html>
+<html lang="en">
+<head>
+    <meta charset="UTF-8">
+    <meta name="viewport" content="width=device-width, initial-scale=1.0">
+    <title>Mathematical Research Paper Drafting Assistant</title>
+    <script src="https://cdn.tailwindcss.com"></script>
+    <link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
+    <script src="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.min.js"></script>
+    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.16.8/dist/katex.min.css">
+    <script src="https://cdn.jsdelivr.net/npm/highlight.js@11.7.0/lib/core.min.js"></script>
+    <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/highlight.js@11.7.0/styles/github.min.css">
+    <style>
+        .katex-display {
+            margin: 1em 0;
+            padding: 1em;
+            background-color: #f8f9fa;
+            border-radius: 0.5rem;
+        }
+        .latex-preview {
+            min-height: 200px;
+            border: 1px solid #e5e7eb;
+            border-radius: 0.5rem;
+            padding: 1rem;
+            background-color: white;
+        }
+        .hljs {
+            background-color: #f8f9fa;
+            border-radius: 0.5rem;
+            padding: 1rem;
+        }
+        .sidebar-item {
+            transition: all 0.2s ease;
+        }
+        .sidebar-item:hover {
+            background-color: #f3f4f6;
+        }
+        .sidebar-item.active {
+            background-color: #e5e7eb;
+            border-left: 4px solid #3b82f6;
+        }
+        .progress-step {
+            position: relative;
+        }
+        .progress-step:not(:last-child):after {
+            content: '';
+            position: absolute;
+            top: 20px;
+            left: 50%;
+            height: 2px;
+            width: 100%;
+            background-color: #d1d5db;
+            z-index: 0;
+        }
+        .progress-step.active:not(:last-child):after {
+            background-color: #3b82f6;
+        }
+        .progress-step.completed:not(:last-child):after {
+            background-color: #3b82f6;
+        }
+        .progress-step.completed .step-icon {
+            background-color: #10b981;
+            border-color: #10b981;
+            color: white;
+        }
+        .progress-step.active .step-icon {
+            background-color: #3b82f6;
+            border-color: #3b82f6;
+            color: white;
+        }
+        .ai-response {
+            position: relative;
+        }
+        .ai-response:before {
+            content: '';
+            position: absolute;
+            top: 0;
+            left: 0;
+            width: 4px;
+            height: 100%;
+            background-color: #3b82f6;
+            border-radius: 4px 0 0 4px;
+        }
+        .user-input {
+            position: relative;
+        }
+        .user-input:before {
+            content: '';
+            position: absolute;
+            top: 0;
+            left: 0;
+            width: 4px;
+            height: 100%;
+            background-color: #10b981;
+            border-radius: 4px 0 0 4px;
+        }
+        .feedback-panel {
+            position: relative;
+        }
+        .feedback-panel:before {
+            content: '';
+            position: absolute;
+            top: 0;
+            left: 0;
+            width: 4px;
+            height: 100%;
+            background-color: #f59e0b;
+            border-radius: 4px 0 0 4px;
+        }
+        .consensus-panel {
+            position: relative;
+        }
+        .consensus-panel:before {
+            content: '';
+            position: absolute;
+            top: 0;
+            left: 0;
+            width: 4px;
+            height: 100%;
+            background-color: #8b5cf6;
+            border-radius: 4px 0 0 4px;
+        }
+        .split-view {
+            display: grid;
+            grid-template-columns: 1fr 1fr;
+            gap: 1rem;
+        }
+        @media (max-width: 768px) {
+            .split-view {
+                grid-template-columns: 1fr;
+            }
+        }
+    </style>
+</head>
+<body class="bg-gray-50 min-h-screen">
+    <div class="flex flex-col min-h-screen">
+        <!-- Header -->
+        <header class="bg-white shadow-sm py-4 px-6">
+            <div class="flex justify-between items-center">
+                <h1 class="text-2xl font-bold text-gray-800">
+                    <i class="fas fa-square-root-alt text-blue-500 mr-2"></i>
+                    Math Research Assistant
+                </h1>
+                <div class="flex items-center space-x-4">
+                    <button id="apiKeysBtn" class="px-4 py-2 bg-gray-100 hover:bg-gray-200 rounded-lg text-sm font-medium">
+                        <i class="fas fa-key mr-2"></i>API Keys
+                    </button>
+                    <button class="px-4 py-2 bg-blue-600 hover:bg-blue-700 text-white rounded-lg text-sm font-medium">
+                        <i class="fas fa-download mr-2"></i>Export
+                    </button>
+                </div>
+            </div>
+        </header>
+        <!-- Main Content -->
+        <div class="flex flex-1 overflow-hidden">
+            <!-- Sidebar -->
+            <div class="w-64 bg-white border-r border-gray-200 overflow-y-auto">
+                <div class="p-4">
+                    <h2 class="font-semibold text-gray-700 mb-2">Project History</h2>
+                    <div class="space-y-1" id="historySidebar">
+                        <!-- History items will be added here dynamically -->
+                    </div>
+                </div>
+            </div>
+            <!-- Main Panel -->
+            <div class="flex-1 overflow-y-auto p-6">
+                <!-- Progress Bar -->
+                <div class="bg-white rounded-lg shadow-sm p-4 mb-6">
+                    <div class="flex justify-between items-center mb-4">
+                        <h2 class="text-lg font-semibold text-gray-800">Research Paper Drafting Progress</h2>
+                        <div class="flex items-center space-x-2">
+                            <span class="text-sm text-gray-500" id="currentStage">Idea Generation</span>
+                            <span class="text-sm font-medium text-blue-600">Step 1 of 8</span>
+                        </div>
+                    </div>
+                    <div class="flex justify-between relative">
+                        <div class="progress-step completed" data-step="1">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-lightbulb text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">Idea Gen</span>
+                            </div>
+                        </div>
+                        <div class="progress-step completed" data-step="2">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-seedling text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">Development</span>
+                            </div>
+                        </div>
+                        <div class="progress-step completed" data-step="3">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-comment-medical text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">First Critique</span>
+                            </div>
+                        </div>
+                        <div class="progress-step active" data-step="4">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-sync-alt text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">Refinement</span>
+                            </div>
+                        </div>
+                        <div class="progress-step" data-step="5">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-search text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">Deep Critique</span>
+                            </div>
+                        </div>
+                        <div class="progress-step" data-step="6">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-handshake text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">Consensus</span>
+                            </div>
+                        </div>
+                        <div class="progress-step" data-step="7">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-list-ol text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">Outline</span>
+                            </div>
+                        </div>
+                        <div class="progress-step" data-step="8">
+                            <div class="flex flex-col items-center">
+                                <div class="step-icon w-10 h-10 rounded-full border-2 border-gray-300 flex items-center justify-center mb-1 bg-white z-10">
+                                    <i class="fas fa-file-alt text-gray-400"></i>
+                                </div>
+                                <span class="text-xs font-medium text-gray-700">LaTeX Draft</span>
+                            </div>
+                        </div>
+                    </div>
+                </div>
+                <!-- Current Stage Content -->
+                <div id="stageContent">
+                    <!-- Iterative Refinement Stage (Default shown) -->
+                    <div class="stage-panel" id="refinementStage">
+                        <div class="bg-white rounded-lg shadow-sm overflow-hidden mb-6">
+                            <div class="px-6 py-4 border-b border-gray-200">
+                                <h3 class="text-lg font-medium text-gray-900">
+                                    <i class="fas fa-sync-alt text-blue-500 mr-2"></i>
+                                    Iterative Refinement
+                                </h3>
+                                <p class="text-sm text-gray-500 mt-1">Review and refine your research idea based on feedback from Gemini.</p>
+                            </div>
+                            <div class="p-6">
+                                <div class="split-view">
+                                    <!-- GPT Input/Output -->
+                                    <div class="space-y-4">
+                                        <div class="user-input bg-white rounded-lg border border-gray-200 p-4">
+                                            <div class="flex justify-between items-center mb-2">
+                                                <span class="text-xs font-semibold text-green-600 bg-green-50 px-2 py-1 rounded">USER INPUT</span>
+                                                <div class="flex space-x-2">
+                                                    <button class="text-xs text-gray-500 hover:text-gray-700">
+                                                        <i class="fas fa-edit"></i>
+                                                    </button>
+                                                </div>
+                                            </div>
+                                            <div class="prose max-w-none text-sm text-gray-700">
+                                                <p>Develop a framework for applying sheaf theory to distributed optimization problems, with particular focus on consensus algorithms in multi-agent systems.</p>
+                                            </div>
+                                        </div>
+                                        <div class="ai-response bg-white rounded-lg border border-gray-200 p-4">
+                                            <div class="flex justify-between items-center mb-2">
+                                                <span class="text-xs font-semibold text-blue-600 bg-blue-50 px-2 py-1 rounded">GPT-4 RESPONSE</span>
+                                                <div class="flex space-x-2">
+                                                    <button class="text-xs text-gray-500 hover:text-gray-700">
+                                                        <i class="fas fa-copy"></i>
+                                                    </button>
+                                                </div>
+                                            </div>
+                                            <div class="prose max-w-none text-sm text-gray-700">
+                                                <p>The proposed framework leverages sheaf theory to model information flow in distributed systems. Key components:</p>
+                                                <ol class="list-decimal pl-5 space-y-1">
+                                                    <li>Represent agents as stalks in a sheaf</li>
+                                                    <li>Define restriction maps to capture local communication constraints</li>
+                                                    <li>Use global sections to identify consensus states</li>
+                                                    <li>Obstruction cocycles detect inconsistencies in distributed knowledge</li>
+                                                </ol>
+                                                <p>This provides a topological perspective on convergence properties.</p>
+                                            </div>
+                                        </div>
+                                    </div>
+                                    <!-- Gemini Feedback -->
+                                    <div class="space-y-4">
+                                        <div class="feedback-panel bg-white rounded-lg border border-gray-200 p-4">
+                                            <div class="flex justify-between items-center mb-2">
+                                                <span class="text-xs font-semibold text-yellow-600 bg-yellow-50 px-2 py-1 rounded">GEMINI FEEDBACK</span>
+                                                <div class="flex space-x-2">
+                                                    <button class="text-xs text-gray-500 hover:text-gray-700">
+                                                        <i class="fas fa-copy"></i>
+                                                    </button>
+                                                </div>
+                                            </div>
+                                            <div class="prose max-w-none text-sm text-gray-700">
+                                                <p class="font-medium">Critical Issues Identified:</p>
+                                                <ul class="list-disc pl-5 space-y-1">
+                                                    <li>The assumption about global sections existing is too strong for most practical distributed systems</li>
+                                                    <li>Obstruction cocycle definition is incomplete without specifying coefficient sheaf</li>
+                                                    <li>No consideration of dynamic topology changes</li>
+                                                </ul>
+                                                <p class="font-medium mt-2">Suggestions:</p>
+                                                <ul class="list-disc pl-5 space-y-1">
+                                                    <li>Consider using sheaf cohomology with compact support</li>
+                                                    <li>Explicitly define the coefficient sheaf (e.g., constant sheaf of ℝ)</li>
+                                                    <li>Add time parameter to handle dynamic networks</li>
+                                                </ul>
+                                            </div>
+                                        </div>
+                                        <!-- Editable Response Area -->
+                                        <div class="bg-white rounded-lg border border-gray-200">
+                                            <div class="px-4 py-3 border-b border-gray-200">
+                                                <span class="text-xs font-semibold text-gray-600">REVISE YOUR IDEA</span>
+                                            </div>
+                                            <textarea class="w-full p-4 text-sm text-gray-700 focus:outline-none min-h-[150px]" placeholder="Incorporate feedback and refine your research idea here...">The framework applies sheaf theory to distributed optimization, with these improvements:
+1. Agents modeled as stalks with time-dependent restriction maps
+2. Sheaf cohomology with compact support to analyze convergence
+3. Constant sheaf of ℝ for obstruction cocycle calculations
+4. Dynamic topology handled via parameterized sheaves</textarea>
+                                        </div>
+                                    </div>
+                                </div>
+                                <!-- Iteration Controls -->
+                                <div class="flex justify-between mt-6">
+                                    <div class="flex space-x-2">
+                                        <button class="px-4 py-2 bg-gray-100 hover:bg-gray-200 text-gray-700 rounded-lg text-sm font-medium">
+                                            <i class="fas fa-redo mr-2"></i>Restart Step
+                                        </button>
+                                        <button class="px-4 py-2 bg-gray-100 hover:bg-gray-200 text-gray-700 rounded-lg text-sm font-medium">
+                                            <i class="fas fa-history mr-2"></i>View Previous
+                                        </button>
+                                    </div>
+                                    <div class="flex space-x-2">
+                                        <button class="px-4 py-2 bg-blue-600 hover:bg-blue-700 text-white rounded-lg text-sm font-medium">
+                                            <i class="fas fa-sync-alt mr-2"></i>Refine Again
+                                        </button>
+                                        <button class="px-4 py-2 bg-green-600 hover:bg-green-700 text-white rounded-lg text-sm font-medium" id="nextStageBtn">
+                                            <i class="fas fa-arrow-right mr-2"></i>Next Stage
+                                        </button>
+                                    </div>
+                                </div>
+                            </div>
+                        </div>
+                        <!-- Convergence Indicator -->
+                        <div class="bg-white rounded-lg shadow-sm overflow-hidden">
+                            <div class="px-6 py-4 border-b border-gray-200">
+                                <h3 class="text-lg font-medium text-gray-900">
+                                    <i class="fas fa-chart-line text-blue-500 mr-2"></i>
+                                    Convergence Indicator
+                                </h3>
+                            </div>
+                            <div class="p-6">
+                                <div class="flex items-center">
+                                    <div class="w-full bg-gray-200 rounded-full h-4">
+                                        <div class="bg-blue-600 h-4 rounded-full" style="width: 75%"></div>
+                                    </div>
+                                    <span class="ml-4 text-sm font-medium text-gray-700">75% Converged</span>
+                                </div>
+                                <p class="text-sm text-gray-500 mt-2">After 3 iterations, the feedback from Gemini is becoming more consistent with fewer new issues identified.</p>
+                            </div>
+                        </div>
+                    </div>
+                    <!-- Other stages (hidden by default) -->
+                    <div class="stage-panel hidden" id="deepCritiqueStage">
+                        <!-- Deep Critique content would go here -->
+                    </div>
+                    <div class="stage-panel hidden" id="consensusStage">
+                        <!-- Consensus content would go here -->
+                    </div>
+                </div>
+            </div>
+        </div>
+    </div>
+    <!-- API Keys Modal -->
+    <div id="apiKeysModal" class="fixed inset-0 bg-gray-600 bg-opacity-50 flex items-center justify-center hidden z-50">
+        <div class="bg-white rounded-lg shadow-xl max-w-md w-full">
+            <div class="px-6 py-4 border-b border-gray-200">
+                <h3 class="text-lg font-medium text-gray-900">
+                    <i class="fas fa-key mr-2 text-blue-500"></i>
+                    API Key Management
+                </h3>
+            </div>
+            <div class="p-6">
+                <div class="space-y-4">
+                    <div>
+                        <label class="block text-sm font-medium text-gray-700 mb-1">OpenAI API Key</label>
+                        <input type="password" class="w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500" placeholder="sk-...">
+                    </div>
+                    <div>
+                        <label class="block text-sm font-medium text-gray-700 mb-1">Gemini API Key</label>
+                        <input type="password" class="w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500" placeholder="AIza...">
+                    </div>
+                    <div>
+                        <label class="block text-sm font-medium text-gray-700 mb-1">Grok-3 API Key</label>
+                        <input type="password" class="w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500" placeholder="gk-...">
+                    </div>
+                    <div>
+                        <label class="block text-sm font-medium text-gray-700 mb-1">Claude API Key</label>
+                        <input type="password" class="w-full px-3 py-2 border border-gray-300 rounded-md shadow-sm focus:outline-none focus:ring-blue-500 focus:border-blue-500" placeholder="sk-ant-...">
+                    </div>
+                </div>
+                <div class="flex justify-end mt-6 space-x-3">
+                    <button id="cancelApiKeys" class="px-4 py-2 bg-gray-100 hover:bg-gray-200 text-gray-700 rounded-lg text-sm font-medium">
+                        Cancel
+                    </button>
+                    <button id="saveApiKeys" class="px-4 py-2 bg-blue-600 hover:bg-blue-700 text-white rounded-lg text-sm font-medium">
+                        Save Keys
+                    </button>
+                </div>
+            </div>
+        </div>
+    </div>
+    <script>
+        // Initialize the app
+        document.addEventListener('DOMContentLoaded', function() {
+            // Add sample history items
+            const historySidebar = document.getElementById('historySidebar');
+            const historyItems = [
+                { id: 1, title: 'Initial Idea Generation', time: '10:23 AM', active: false },
+                { id: 2, title: 'Idea Development', time: '10:35 AM', active: false },
+                { id: 3, title: 'First Critique Round', time: '10:52 AM', active: false },
+                { id: 4, title: 'Iteration 1 Refinement', time: '11:07 AM', active: false },
+                { id: 5, title: 'Iteration 2 Refinement', time: '11:23 AM', active: false },
+                { id: 6, title: 'Current Refinement', time: '11:41 AM', active: true }
+            ];
+            historyItems.forEach(item => {
+                const itemEl = document.createElement('div');
+                itemEl.className = `sidebar-item p-3 text-sm cursor-pointer rounded ${item.active ? 'active' : ''}`;
+                itemEl.innerHTML = `
+                    <div class="font-medium text-gray-700">${item.title}</div>
+                    <div class="text-xs text-gray-500">${item.time}</div>
+                `;
+                historySidebar.appendChild(itemEl);
+            });
+            // API Key Modal Handling
+            const apiKeysBtn = document.getElementById('apiKeysBtn');
+            const apiKeysModal = document.getElementById('apiKeysModal');
+            const cancelApiKeys = document.getElementById('cancelApiKeys');
+            const saveApiKeys = document.getElementById('saveApiKeys');
+            apiKeysBtn.addEventListener('click', () => {
+                apiKeysModal.classList.remove('hidden');
+            });
+            cancelApiKeys.addEventListener('click', () => {
+                apiKeysModal.classList.add('hidden');
+            });
+            saveApiKeys.addEventListener('click', () => {
+                apiKeysModal.classList.add('hidden');
+                // In a real app, you would save the API keys securely here
+                alert('API keys saved (simulated)');
+            });
+            // Next Stage Button
+            const nextStageBtn = document.getElementById('nextStageBtn');
+            const currentStageEl = document.getElementById('currentStage');
+            const refinementStage = document.getElementById('refinementStage');
+            const deepCritiqueStage = document.getElementById('deepCritiqueStage');
+            nextStageBtn.addEventListener('click', () => {
+                // Update progress steps
+                document.querySelector('.progress-step[data-step="4"]').classList.remove('active');
+                document.querySelector('.progress-step[data-step="4"]').classList.add('completed');
+                document.querySelector('.progress-step[data-step="5"]').classList.add('active');
+                // Update current stage text
+                currentStageEl.textContent = 'Deep Critique';
+                document.querySelector('.progress-step[data-step="5"] span').textContent = '5/8';
+                // Switch to next stage (in a real app, this would load new content)
+                refinementStage.classList.add('hidden');
+                deepCritiqueStage.classList.remove('hidden');
+                // Update the next stage button for the new stage
+                nextStageBtn.innerHTML = '<i class="fas fa-arrow-right mr-2"></i>Next Stage';
+            });
+            // Initialize LaTeX rendering (would be used in later stages)
+            function renderLaTeX() {
+                const latexElements = document.querySelectorAll('.latex-content');
+                latexElements.forEach(el => {
+                    try {
+                        katex.render(el.textContent, el, {
+                            displayMode: true,
+                            throwOnError: false
+                        });
+                    } catch (e) {
+                        console.error(e);
+                    }
+                });
+            }
+            // Initialize syntax highlighting (would be used in later stages)
+            function initSyntaxHighlighting() {
+                document.querySelectorAll('pre code').forEach((block) => {
+                    hljs.highlightElement(block);
+                });
+            }
+        });
+    </script>
+<p style="border-radius: 8px; text-align: center; font-size: 12px; color: #fff; margin-top: 16px;position: fixed; left: 8px; bottom: 8px; z-index: 10; background: rgba(0, 0, 0, 0.8); padding: 4px 8px;">Made with <img src="https://enzostvs-deepsite.hf.space/logo.svg" alt="DeepSite Logo" style="width: 16px; height: 16px; vertical-align: middle;display:inline-block;margin-right:3px;filter:brightness(0) invert(1);"><a href="https://enzostvs-deepsite.hf.space" style="color: #fff;text-decoration: underline;" target="_blank" >DeepSite</a> - 🧬 <a href="https://enzostvs-deepsite.hf.space?remix=LukasBe/math-research-assistant" style="color: #fff;text-decoration: underline;" target="_blank" >Remix</a></p></body>
+</html>

prompts.txt ADDED Viewed

	@@ -0,0 +1 @@

+ --- ## 2. UI Flow Requirements To support this workflow effectively, the UI must guide the user through each stage with clarity and flexibility. ### 2.1 General UI Principles - **Step Indicator / Progress Bar:** Visualize the current stage (Idea generation, Critique, Iteration, Consensus, Paper drafting). - **Input/Output Panels:** Separate areas for user prompts and AI responses, with clear role labeling. - **Editable Inputs:** Allow users to edit AI outputs before sending to the next stage. - **History Sidebar:** Display past iterations, feedback, and consensus reports for easy reference. - **Iteration Controls:** Buttons for "Send to Next Model," "Revise," "Accept Feedback," and "Restart Step." - **Consensus Summary Panel:** Aggregate feedback from Gemini and Grok-3 for user review. - **LaTeX Preview:** Render LaTeX output dynamically with a library like KaTeX or MathJax. - **Export Options:** Download final LaTeX as `.tex` file. - **API Key Management:** Modal or settings panel for users to input and manage API keys securely. ### 2.2 UI Components per Workflow Stage | Stage | UI Components \& Features | | :-- | :-- | | **Idea Generation (GPT)** | Textarea for initial idea input, "Generate Ideas" button, list of 7 ideas displayed with selection capability. | | **Idea Development (GPT)** | Editable textarea with selected idea, "Develop Idea" button, AI response panel. | | **First Critique (Gemini)** | Feedback panel showing errors and suggestions, editable response area for user to incorporate feedback. | | **Iterative Refinement** | Split view: GPT input/output and Gemini feedback side-by-side, iteration controls, convergence indicator. | | **Deep Critique (Grok-3)** | Display Grok-3’s fundamental critique and alternative suggestions, user can accept or request re-analysis. | | **Consensus Report (Gemini)** | Summary panel showing final consensus, editable for user notes or adjustments. | | **Paper Outline (Claude)** | Outline preview panel, approve/reject buttons, input for style/notation conventions. | | **LaTeX Drafting (Claude)** | LaTeX code viewer with syntax highlighting, live preview, and export button. | --- ## 3. cURL Command Samples for Each Service Below are example cURL commands to interact with each AI service, based on the process. --- ### 3.1 GPT-3.5/4 (OpenAI) - Idea Generation \& Development ```bash curl https://api.openai.com/v1/chat/completions \ -H "Authorization: Bearer YOUR_OPENAI_API_KEY" \ -H "Content-Type: application/json" \ -d '{ "model": "gpt-4o", "messages": [ { "role": "system", "content": "You are a helpful assistant for mathematical research." }, { "role": "user", "content": "Suggest 7 novel research ideas related to [math research idea X]." } ], "temperature": 0.7 }' ``` **Sample Response (truncated):** ```json { "choices": [ { "message": { "content": "1. Persistent homology in optimization landscapes...\n2. Sheaf-theoretic distributed optimization...\n..." } } ] } ``` --- ### 3.2 Gemini (Google) - Error Detection \& Feedback ```bash curl -X POST \ https://generativelanguage.googleapis.com/v1beta/models/gemini-pro:generateContent \ -H "Authorization: Bearer YOUR_GEMINI_API_KEY" \ -H "Content-Type: application/json" \ -d '{ "contents": [ { "parts": [ { "text": "Please review the following mathematical research idea for errors:\n[Insert GPT output here]" } ] } ], "generationConfig": { "temperature": 0.2, "maxOutputTokens": 1024 } }' ``` **Sample Response (truncated):** ```json { "candidates": [ { "content": { "parts": [ { "text": "Issues found:\n1. Assumption of global sections is invalid...\n2. Obstruction cocycle definition incomplete..." } ] } } ] } ``` --- ### 3.3 Grok-3 (xAI) - Deep Critique \& Alternative Directions ```bash curl -X POST \ https://api.grok.x/v1/chat/completions \ -H "Authorization: Bearer YOUR_GROK_API_KEY" \ -H "Content-Type: application/json" \ -d '{ "messages": [ { "role": "system", "content": "You are a critical mathematical researcher." }, { "role": "user", "content": "Analyze this consensus research report and identify fundamental errors:\n[Detailed report]" } ], "model": "grok-3", "temperature": 0.7 }' ``` **Sample Response:** ```json { "choices": [ { "message": { "content": "Fundamental flaw: obstruction classes are discrete invariants, not continuous. Suggest discrete Morse theory instead." } } ] } ``` --- ### 3.4 Claude (Anthropic) - Paper Outline \& LaTeX Drafting ```bash curl -X POST \ https://api.anthropic.com/v1/messages \ -H "x-api-key: YOUR_CLAUDE_API_KEY" \ -H "anthropic-version: 2023-06-01" \ -H "Content-Type: application/json" \ -d '{ "model": "claude-3-7-sonnet", "max_tokens": 4000, "messages": [ { "role": "user", "content": "Outline a formal academic paper based on this consensus report:\n[Final consensus report]" } ] }' ``` **Sample Response (Outline):** ```json { "content": [ { "text": "# Paper Outline\n1. Introduction\n2. Preliminaries\n3. Framework\n4. Results\n5. Conclusion\n" } ] } ```