Pith Number

pith:PDZ4H6ZX

pith:2026:PDZ4H6ZXPHZWBNPEHGA4V32ZGT

not attested not anchored not stored refs pending

One Model, Many Graphs: Learning over Attributed Graphs across Heterogeneous Modalities with Vision-Language Models

Jiajin Liu, Jiayi Yang, Qiaoyu Tan, Yifang Chen, Yuanfu Sun

arxiv:2607.19128 v1 · 2026-07-21 · 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{PDZ4H6ZXPHZWBNPEHGA4V32ZGT}

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	2026-07-22T01:24:10.031609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78f3c3fb3779f360b5e43981caef5934f7b7132e569b5a647725ba8c18913a02

Aliases

arxiv: 2607.19128 · arxiv_version: 2607.19128v1 · doi: 10.48550/arxiv.2607.19128 · pith_short_12: PDZ4H6ZXPHZW · pith_short_16: PDZ4H6ZXPHZWBNPE · pith_short_8: PDZ4H6ZX

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/PDZ4H6ZXPHZWBNPEHGA4V32ZGT \
  | 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: 78f3c3fb3779f360b5e43981caef5934f7b7132e569b5a647725ba8c18913a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16f4cab09d9c502d46e5c5110097e40ffd9cf3ebab5bde89eb5392649607b99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-21T14:18:25Z",
    "title_canon_sha256": "3f88f2ee4faf222aaecf2cdc8ed84b69b1b1b5d1d8cc5c062c016ad310ab6754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19128",
    "kind": "arxiv",
    "version": 1
  }
}