metadata
license: cc-by-4.0
language:
- en
tags:
- mathematics
- knowledge-graph
- sqlite
- tool-use
pretty_name: Filtered Math Knowledge Base (SQLite)
Knowledgebase Filtered (SQLite)
College-math knowledge graph as a queryable SQLite + FTS5 database, designed
for retrieval / tool-call agents (kg_search_statement, kg_get_statement,
kg_get_dependencies, md_fetch_section, ...).
What's filtered
The full corpus (887,223 statement nodes) is retained so dependency lookups and full-text search stay complete. Two annotation columns were added to mark the cleaned anchor pool — statements good enough to seed an exam question:
| column | meaning |
|---|---|
anchor_eligible |
1 for the 23,182 complete anchors |
completeness_verdict |
self_contained / incomplete / NULL |
How the 23,182 anchors were selected
- Base filter:
has_proof=1 AND is_closed=1 AND has ≥1 dependency - 11,750 long anchors (200–4000 chars) — kept directly
- 11,432 short anchors (50–199 chars) — rescued by an LLM completeness
check (
qwen3.5-35b-a3b, no-think): judgedself_contained - 8,086 short anchors judged
incompleteare flagged but not anchor-eligible - <50-char statements are excluded from anchoring (too fragmentary)
Usage
import sqlite3
conn = sqlite3.connect("file:index.sqlite?mode=ro&immutable=1", uri=True)
conn.row_factory = sqlite3.Row
# the cleaned anchor pool:
rows = conn.execute("SELECT cid, entity_name FROM statements WHERE anchor_eligible=1").fetchall()
Point the tool layer at it via COLLEGE_MATH_KG_INDEX=/path/to/index.sqlite.
Tables
statements (nodes + the two new columns), fts (FTS5 over name+statement),
books (book metadata).