Pith Number

pith:PZTKKXXU

pith:2025:PZTKKXXUNCUB3SNSPNQJUYYCVV

not attested not anchored not stored refs pending

Toward a Graph Foundation Model: Pre-Training Transformers With Random Walks

Jie Chen, Ziyuan Tang

arxiv:2506.14098 v1 · 2025-06-17 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZTKKXXUNCUB3SNSPNQJUYYCVV}

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	2026-07-05T11:22:48.963359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e66a55ef468a81dc9b27b609a6302ad7a9bdc5ebe7e42194ef12fb370597994

Aliases

arxiv: 2506.14098 · arxiv_version: 2506.14098v1 · doi: 10.48550/arxiv.2506.14098 · pith_short_12: PZTKKXXUNCUB · pith_short_16: PZTKKXXUNCUB3SNS · pith_short_8: PZTKKXXU

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/PZTKKXXUNCUB3SNSPNQJUYYCVV \
  | 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: 7e66a55ef468a81dc9b27b609a6302ad7a9bdc5ebe7e42194ef12fb370597994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c5a6c75718f8d8a37b13ed3cb13ff6b2cf9982e55a104e0ef727e3bafb52db",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-17T01:28:34Z",
    "title_canon_sha256": "9f761a7da8fe8dd1a7ade22822253f4223717cb75bfa35dfedcb55725b8703b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14098",
    "kind": "arxiv",
    "version": 1
  }
}