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import streamlit as st
import streamlit_antd_components as sac
import json
from sentence_transformers import SentenceTransformer
import os
import boto3
import psycopg2
from psycopg2.extensions import connection
from pgvector.psycopg2 import register_vector
import re
import torch
from collections import defaultdict
from dotenv import load_dotenv
from latex_clean import clean_latex_for_display
# Config
torch.classes.__path__ = []
load_dotenv()
def get_rds_connection() -> connection:
region = os.getenv("AWS_REGION")
secret_arn = os.getenv("RDS_SECRET_ARN")
host = os.getenv("RDS_HOST")
dbname = os.getenv("RDS_DB_NAME")
sm = boto3.client("secretsmanager", region_name=region)
secret_value = sm.get_secret_value(SecretId=secret_arn)
secret_dict = json.loads(secret_value["SecretString"])
conn = psycopg2.connect(
host=host or secret_dict.get("host"),
port=int(secret_dict.get("port", 5432)),
dbname=dbname or secret_dict.get("dbname"),
user=secret_dict["username"],
password=secret_dict["password"],
sslmode="require",
)
register_vector(conn)
return conn
ALLOWED_TYPES = [
"theorem", "lemma", "proposition", "corollary"
]
ARXIV_ID_RE = re.compile(
r'(?:arxiv\.org/(?:abs|pdf)/)?((?:\d{4}\.\d{4,5}|[a-z\-]+/\d{7}))',
re.IGNORECASE
)
EMBED_TABLE = "theorem_embedding_qwen"
# Load the Embedding Model
@st.cache_resource
def load_model():
try:
model = SentenceTransformer('Qwen/Qwen3-Embedding-0.6B')
return model
except Exception as e:
st.error(f"Error loading the embedding model: {e}")
return None
def infer_type(name: str) -> str:
if not name:
return "theorem"
lower = name.lower()
for t in ALLOWED_TYPES:
if t in lower:
return t
return "theorem"
@st.cache_data(ttl=60*60*24) # cache for 24 hours
def load_authors():
conn = get_rds_connection()
cur = conn.cursor()
cur.execute("""
SELECT DISTINCT unnest(p.authors) AS author
FROM paper p
WHERE p.authors IS NOT NULL
""")
rows = cur.fetchall()
cur.close()
conn.close()
authors = sorted(r[0] for r in rows if r[0])
return authors
@st.cache_data(ttl=60*60*24) # cache for 24 hours
def load_tags_per_source():
conn = get_rds_connection()
cur = conn.cursor()
cur.execute("""
SELECT
CASE WHEN p.link ILIKE '%%arxiv.org%%'
THEN 'arXiv'
ELSE 'Stacks Project'
END AS source,
p.primary_category
FROM paper p
WHERE p.primary_category IS NOT NULL
""")
rows = cur.fetchall()
cur.close()
conn.close()
tags_per_source = defaultdict(set)
for source, cat in rows:
tags_per_source[source].add(cat)
return {src: sorted(cats) for src, cats in tags_per_source.items()}
@st.cache_data(ttl=60*60*24) # cache for 24 hours
def load_theorem_count():
conn = get_rds_connection()
cur = conn.cursor()
cur.execute("SELECT COUNT(*) FROM theorem;")
(n,) = cur.fetchone()
cur.close()
conn.close()
return int(n)
def extract_arxiv_id(s: str) -> str | None:
"""Return normalized arXiv ID if present in s (URL or raw), else None."""
if not s:
return None
m = ARXIV_ID_RE.search(s.strip())
return m.group(1) if m else None
def normalize_title(s: str) -> str:
return (s or "").casefold().strip()
def parse_paper_filter(raw: str) -> dict:
"""
Parse user input into two sets: arxiv_ids and title substrings.
Multiple entries may be comma-separated.
e.g. "2401.12345, Optimal Transport" -> {"ids":{"2401.12345"}, "titles":{"optimal transport"}}
"""
ids, titles = set(), set()
if not raw:
return {"ids": ids, "titles": titles}
for token in [t.strip() for t in raw.split(",") if t.strip()]:
arx = extract_arxiv_id(token)
if arx:
ids.add(arx.lower())
else:
titles.add(normalize_title(token))
return {"ids": ids, "titles": titles}
def save_feedback(feedback, query, url, theorem_name, filters):
conn = get_rds_connection()
cur = conn.cursor()
def make_json_safe(obj):
if isinstance(obj, dict):
return {k: make_json_safe(v) for k, v in obj.items()}
elif isinstance(obj, set):
return list(obj)
elif isinstance(obj, tuple):
return list(obj)
elif isinstance(obj, list):
return [make_json_safe(v) for v in obj]
elif hasattr(obj, "item"):
return obj.item()
else:
return obj
# --- Search and Display ---
def search_and_display(query: str, model, filters: dict):
if not filters['sources']:
st.warning("Please select at least one source.")
return
citation_weight = float(filters['citation_weight'])
# Encode query to numpy array
query_vec = model.encode(query or "", normalize_embeddings=True, convert_to_numpy=True)
where = []
params = []
# Source
if filters['sources']:
src_cases = []
if 'arXiv' in filters['sources']:
src_cases.append(" (p.link ILIKE '%%arxiv.org%%') ")
if 'Stacks Project' in filters['sources']:
src_cases.append(" (p.link NOT ILIKE '%%arxiv.org%%') ")
if src_cases:
where.append("(" + " OR ".join(src_cases) + ")")
# Authors
if filters['authors']:
where.append(" p.authors && %s ")
params.append(filters['authors'])
# Tag/category
if filters['tags']:
where.append(" p.primary_category = ANY(%s) ")
params.append(filters['tags'])
# Year (arXiv only)
if filters['year_range']:
yr0, yr1 = filters['year_range']
where.append("""
( (p.link ILIKE '%%arxiv.org%%' AND EXTRACT(YEAR FROM p.last_updated) BETWEEN %s AND %s)
OR (p.link NOT ILIKE '%%arxiv.org%%') )
""")
params.extend([yr0, yr1])
# Journal status (arXiv only)
if filters['journal_status'] != "All":
if filters['journal_status'] == "Journal Article":
where.append(" (p.link ILIKE '%%arxiv.org%%' AND p.journal_ref IS NOT NULL) ")
elif filters['journal_status'] == "Preprint Only":
where.append(" (p.link ILIKE '%%arxiv.org%%' AND p.journal_ref IS NULL) ")
# Paper filter: arXiv id in link or title substring(s)
pf = filters.get("paper_filter", {"ids": set(), "titles": set()})
id_patterns = [f"%{i}%" for i in pf.get("ids", set())]
title_patterns = [f"%{t}%" for t in pf.get("titles", set())]
pf_clauses = []
if id_patterns:
pf_clauses.append(" p.link ILIKE ANY(%s) ")
params.append(id_patterns)
if title_patterns:
pf_clauses.append(" p.title ILIKE ANY(%s) ")
params.append(title_patterns)
if pf_clauses:
where.append("(" + " OR ".join(pf_clauses) + ")")
# Result type
if filters['types']:
like_any = [f"%{t}%" for t in filters['types']]
where.append(" lower(t.name) ILIKE ANY(%s) ")
params.append(like_any)
# Citations
low, high = filters["citation_range"]
include_unknown = filters["include_unknown_citations"]
if include_unknown:
where.append("( (p.citations BETWEEN %s AND %s) OR p.citations IS NULL )")
else:
where.append("( p.citations IS NOT NULL AND (p.citations BETWEEN %s AND %s) )")
params.extend([low, high])
conn = get_rds_connection()
cur = conn.cursor()
results = []
# Fetch results from RDS
if citation_weight == 0.0:
sql = f"""
WITH latest_slogan AS (
SELECT DISTINCT ON (ts.theorem_id)
ts.theorem_id, ts.slogan_id, ts.slogan
FROM theorem_slogan ts
ORDER BY ts.theorem_id, ts.slogan_id DESC
)
SELECT
p.paper_id,
p.title,
p.authors,
p.link,
p.last_updated,
p.summary,
p.journal_ref,
p.primary_category,
p.categories,
p.citations,
t.theorem_id,
t.name AS theorem_name,
t.body AS theorem_body,
ls.slogan AS theorem_slogan,
(1.0 - (e.embedding <#> %s::vector)) AS similarity
FROM paper p
JOIN theorem t ON t.paper_id = p.paper_id
JOIN latest_slogan ls ON ls.theorem_id = t.theorem_id
JOIN {EMBED_TABLE} e ON e.slogan_id = ls.slogan_id
{'WHERE ' + ' AND '.join(where) if where else ''}
ORDER BY e.embedding <#> %s::vector ASC
LIMIT %s;
"""
exec_params = [query_vec, *params, query_vec, int(filters['top_k'])]
cur.execute(sql, exec_params)
rows = cur.fetchall()
for (paper_id, title, authors, link, last_updated, summary, journal_ref,
primary_category, categories, citations, theorem_id, theorem_name,
theorem_body, theorem_slogan, similarity) in rows:
link_str = link or ""
source = "arXiv" if "arxiv.org" in link_str else "Stacks Project"
inferred_type = infer_type(theorem_name or "")
year = last_updated.year if last_updated else None
results.append({
"paper_id": paper_id,
"authors": authors,
"paper_title": title,
"paper_url": link,
"year": year,
"primary_category": primary_category,
"source": source,
"type": inferred_type,
"journal_published": bool(journal_ref),
"citations": citations,
"theorem_id": theorem_id,
"theorem_name": theorem_name,
"theorem_slogan": theorem_slogan,
"theorem_body": theorem_body,
"similarity": float(similarity),
"score": float(similarity),
})
else:
pool_size = max(50, int(filters['top_k']) * 10)
sql = f"""
WITH latest_slogan AS (
SELECT DISTINCT ON (ts.theorem_id)
ts.theorem_id, ts.slogan_id, ts.slogan
FROM theorem_slogan ts
ORDER BY ts.theorem_id, ts.slogan_id DESC
),
candidates AS (
SELECT
p.paper_id,
p.title,
p.authors,
p.link,
p.last_updated,
p.summary,
p.journal_ref,
p.primary_category,
p.categories,
p.citations,
t.theorem_id,
t.name AS theorem_name,
t.body AS theorem_body,
ls.slogan AS theorem_slogan,
(1.0 - (e.embedding <#> %s::vector)) AS similarity
FROM paper p
JOIN theorem t ON t.paper_id = p.paper_id
JOIN latest_slogan ls ON ls.theorem_id = t.theorem_id
JOIN {EMBED_TABLE} e ON e.slogan_id = ls.slogan_id
{'WHERE ' + ' AND '.join(where) if where else ''}
ORDER BY e.embedding <#> %s::vector ASC
LIMIT {pool_size}
)
SELECT
*,
(
similarity +
%s * CASE
WHEN citations IS NOT NULL AND citations > 0
THEN ln(citations::float)
ELSE 0
END
) AS weighted_score
FROM candidates
ORDER BY weighted_score DESC, similarity DESC
LIMIT %s;
"""
exec_params = [query_vec, *params, query_vec, citation_weight, int(filters['top_k'])]
cur.execute(sql, exec_params)
rows = cur.fetchall()
for (paper_id, title, authors, link, last_updated, summary, journal_ref,
primary_category, categories, citations, theorem_id, theorem_name,
theorem_body, theorem_slogan, similarity, weighted_score) in rows:
link_str = link or ""
source = "arXiv" if "arxiv.org" in link_str else "Stacks Project"
inferred_type = infer_type(theorem_name or "")
year = last_updated.year if last_updated else None
results.append({
"paper_id": paper_id,
"authors": authors,
"paper_title": title,
"paper_url": link,
"year": year,
"primary_category": primary_category,
"source": source,
"type": inferred_type,
"journal_published": bool(journal_ref),
"citations": citations,
"theorem_id": theorem_id,
"theorem_name": theorem_name,
"theorem_slogan": theorem_slogan,
"theorem_body": theorem_body,
"similarity": float(similarity),
"score": float(weighted_score),
})
cur.close()
conn.close()
# Display results
st.subheader(f"Found {len(results)} Matching Results")
if not results:
st.warning("No results found for the current filters.")
return
for i, info in enumerate(results):
expander_title = f"**Result {i + 1} | Similarity: {info['score']:.4f} | {info.get('type', '').title()}**"
with st.expander(expander_title, expanded=True):
st.markdown(f"**Paper:** *{info.get('paper_title', 'Unknown')}*")
st.markdown(f"**Authors:** {', '.join(info.get('authors') or []) or 'N/A'}")
st.markdown(f"**Source:** {info.get('source')}")
sac.buttons(
items=
[sac.ButtonsItem(label=info.get("paper_url"), icon="link-45deg", href=info.get("paper_url"))],
variant="outline",
color="violet",
index=-1,
key=f"link_{i}"
)
citations = info.get("citations")
cit_str = "Unknown" if citations is None else str(citations)
st.markdown(
f"**Tag:** `{info.get('primary_category')}` | "
f"**Citations:** {cit_str} | "
f"**Year:** {info.get('year', 'N/A')}"
)
st.markdown("---")
if info.get("theorem_slogan"):
st.markdown(f"**Slogan:** {info['theorem_slogan']}\n")
cleaned_content = clean_latex_for_display(info['theorem_body'])
st.markdown(f"**{info['theorem_name'] or 'Theorem Body.'}**")
st.markdown(cleaned_content)
sac.buttons(
items=
[
sac.ButtonsItem(icon="hand-thumbs-up"),
sac.ButtonsItem(icon="hand-thumbs-down")
],
variant="outline",
color="violet",
index=-1,
key=f"feedback_{i}")
# --- Main App Interface ---
st.set_page_config(page_title="Theorem Search Demo", layout="wide")
st.title("Math Theorem Search")
st.write("This demo finds mathematical theorems that are semantically similar to your query.")
model = load_model()
theorem_count = load_theorem_count()
authors = load_authors()
tags_per_source = load_tags_per_source()
if model:
st.success(f"Successfully loaded {theorem_count} theorems from arXiv and the Stacks Project. Ready to search!")
# --- Sidebar filters ---
st.logo(image="images/math-ai-logo.jpg", size="large", link="https://sites.math.washington.edu/ai/")
with st.sidebar:
st.header("Search Filters")
all_sources = ['arXiv', 'Stacks Project']
selected_sources = st.multiselect(
"Filter by Source(s):",
all_sources,
default=all_sources[:1] if all_sources else [],
help="Select one or more sources to reveal more filters."
)
selected_authors, selected_types, selected_tags = [], [], []
paper_filter = ""
year_range, journal_status = None, "All"
citation_range = (0, 1000)
citation_weight = 0.0
include_unknown_citations = True
top_k_results = 5
if selected_sources:
st.write("---")
selected_types = st.multiselect("Filter by Type:", ALLOWED_TYPES)
selected_authors = st.multiselect("Filter by Author(s):", authors)
# Tags per selected source(s)
union_tags = sorted({
t
for s in selected_sources
for t in tags_per_source.get(s, [])
if t
})
selected_tags = st.multiselect("Filter by Tag/Category:", union_tags)
paper_filter = st.text_input("Filter by Paper",
value="",
placeholder="e.g., 2401.12345, Finite Hilbert stability",
help="Filter by title substring or arXiv ID/URL. Use commas for multiple.")
if 'arXiv' in selected_sources:
year_range = st.slider("Filter by Year:", 1991, 2025, (1991, 2025))
journal_status = st.radio("Publication Status:",
["All", "Journal Article", "Preprint Only"],
horizontal=True)
citation_range = st.slider("Filter by Citations:", 0, 1000, (0,1000), step=10)
citation_weight = st.slider("Citation Weight:", 0.0, 1.0, 0.0, step=0.01,
help="If nonzero, results are ranked by base_score $+$ weight $\\times$ "
"$\\log($citations$)$. This will increase search time."
)
include_unknown_citations = st.checkbox(
"Include entries with unknown citation counts",
value=True,
help="If unchecked, results with unknown citation counts are excluded."
)
top_k_results = st.slider("Number of Results to Display:", 1, 20, 5)
filters = {
"authors": selected_authors,
"types": [t.lower() for t in selected_types],
"tags": selected_tags,
"sources": selected_sources,
"paper_filter": parse_paper_filter(paper_filter),
"year_range": year_range,
"journal_status": journal_status,
"citation_range": citation_range,
"citation_weight": citation_weight,
"include_unknown_citations": include_unknown_citations,
"top_k": top_k_results,
}
user_query = st.text_input("Enter your query:", "")
if st.button("Search") or user_query:
with st.spinner("Fetching theorems..."):
search_and_display(user_query, model, filters)
else:
st.error("Could not load the model or data from RDS. Please check your RDS database connection and credentials.") |