Pith Number

pith:UX6CTAP4

pith:2026:UX6CTAP4HERQH4K6MD7WER7TSN

not attested not anchored not stored refs pending

S$^3$GNN: Efficient Global Mixing and Local Message Passing for Long-Range Graph Learning

Andi Han, Dai Shi, Jos\'e Miguel Hern\'andez Lobato, Junbin Gao, Lequan Lin, Linhan Luo, Luke Thompson

arxiv:2605.23467 v1 · 2026-05-22 · 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{UX6CTAP4HERQH4K6MD7WER7TSN}

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	2026-05-25T02:01:56.357638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5fc2981fc392303f15e60ff6247f393693280c40c333da3bea4089a705f440c

Aliases

arxiv: 2605.23467 · arxiv_version: 2605.23467v1 · doi: 10.48550/arxiv.2605.23467 · pith_short_12: UX6CTAP4HERQ · pith_short_16: UX6CTAP4HERQH4K6 · pith_short_8: UX6CTAP4

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/UX6CTAP4HERQH4K6MD7WER7TSN \
  | 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: a5fc2981fc392303f15e60ff6247f393693280c40c333da3bea4089a705f440c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a8535b74c17b00d0c1e086c9fc1e85e2449a1f3dcdd0c3eea52ef3ae5610b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-22T10:26:41Z",
    "title_canon_sha256": "31ca05d0ed2f0ddaebd0eabe912d89a8fb01e3dd570c64dc026243402df6524e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23467",
    "kind": "arxiv",
    "version": 1
  }
}