Pith Number

pith:O2X4DYO7

pith:2026:O2X4DYO7RIMHUPCEEJKUJOM4NQ

not attested not anchored not stored refs pending

Beyond the Golden Teacher: Enhancing Graph Learning through LLM-GNN Co-teaching

Hanlin Gu, Lixin Fan, Yi Yang, Zhuoyi Peng

arxiv:2606.11583 v1 · 2026-06-10 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2X4DYO7RIMHUPCEEJKUJOM4NQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-11T01:09:57.478324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76afc1e1df8a187a3c44225544b99c6c35dfefa89671c52552ae509df98a7a46

Aliases

arxiv: 2606.11583 · arxiv_version: 2606.11583v1 · doi: 10.48550/arxiv.2606.11583 · pith_short_12: O2X4DYO7RIMH · pith_short_16: O2X4DYO7RIMHUPCE · pith_short_8: O2X4DYO7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/O2X4DYO7RIMHUPCEEJKUJOM4NQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 76afc1e1df8a187a3c44225544b99c6c35dfefa89671c52552ae509df98a7a46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f67454e785716242f2efbeeba5995f0b6f5ee167a5c24be4462bf87347c9cff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-10T02:15:56Z",
    "title_canon_sha256": "59e68e9593573e0d6f0647d6b1a6929b3cf9bc9f7cd2a2c22ce73d60bc496bf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11583",
    "kind": "arxiv",
    "version": 1
  }
}