Pith Number

pith:TOOQNYQE

pith:2026:TOOQNYQEC426YFQHIQEIFYMQWH

not attested not anchored not stored refs pending

Toward Federated Multimodal Graph Foundation Models: A Topology-Aware Multimodal Alignment Framework

Guohao Fu, Guoren Wang, Hongchao Qin, Rong-Hua Li, Xunkai Li, Yuming Ai, Zhengyu Wu

arxiv:2607.15687 v1 · 2026-07-17 · 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{TOOQNYQEC426YFQHIQEIFYMQWH}

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	2026-07-20T01:19:04.264322Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b9d06e2041735ec1607440882e190b1cc5aa9699425bed40e5221413b7ed20f

Aliases

arxiv: 2607.15687 · arxiv_version: 2607.15687v1 · doi: 10.48550/arxiv.2607.15687 · pith_short_12: TOOQNYQEC426 · pith_short_16: TOOQNYQEC426YFQH · pith_short_8: TOOQNYQE

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/TOOQNYQEC426YFQHIQEIFYMQWH \
  | 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: 9b9d06e2041735ec1607440882e190b1cc5aa9699425bed40e5221413b7ed20f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be647d9c751993fbf07868047099ba1d5db578f196d5dfa123549379fa22099a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-17T06:57:41Z",
    "title_canon_sha256": "6a273b76d7ea494deaae45552965acd896ef7f7360f0ea856f0e7ca718531cb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15687",
    "kind": "arxiv",
    "version": 1
  }
}