⚡ Live Sandbox: AI Dev Tool: PostgreSQL Vector Search (x602)

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```python
# AI Dev Tool: FastAPI Pydantic v2 Micro-SaaS Boilerplate
# Description: A production-ready starter boilerplate for building micro-SaaS applications with FastAPI and Pydantic v2.

from fastapi import FastAPI, Depends, HTTPException
from fastapi.security import HTTPBearer, HTTPAuthorizationCredentials
from pydantic import BaseModel, validator
from typing import List, Optional
from sqlalchemy import create_engine, Column, Integer, String
from sqlalchemy.ext.declarative import declarative_base
from sqlalchemy.orm import sessionmaker, Session
import uvicorn
import os

# Initialize FastAPI app
app = FastAPI()

# Initialize PostgreSQL database connection
SQLALCHEMY_DATABASE_URL = os.environ.get("DATABASE_URL")
engine = create_engine(SQLALCHEMY_DATABASE_URL)
SessionLocal = sessionmaker(autocommit=False, autoflush=False, bind=engine)

# Define database models
Base = declarative_base()

class User(Base):
    __tablename__ = "users"
    id = Column(Integer, primary_key=True)
    name = Column(String)
    email = Column(String, unique=True)

class Item(Base):
    __tablename__ = "items"
    id = Column(Integer, primary_key=True)
    title = Column

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