Pith Number

pith:LILE2NOE

pith:2025:LILE2NOE56ADDR6S7NX2BNBGWN

not attested not anchored not stored refs pending

Wasserstein Hypergraph Neural Network

Iulia Duta, Pietro Li\`o

arxiv:2506.09682 v1 · 2025-06-11 · 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{LILE2NOE56ADDR6S7NX2BNBGWN}

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	2026-07-05T11:19:55.266672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a164d35c4ef8031c7d2fb6fa0b426b35e99da56ebeff7b07132056caf17759d

Aliases

arxiv: 2506.09682 · arxiv_version: 2506.09682v1 · doi: 10.48550/arxiv.2506.09682 · pith_short_12: LILE2NOE56AD · pith_short_16: LILE2NOE56ADDR6S · pith_short_8: LILE2NOE

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/LILE2NOE56ADDR6S7NX2BNBGWN \
  | 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: 5a164d35c4ef8031c7d2fb6fa0b426b35e99da56ebeff7b07132056caf17759d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "063b658753eb69c5fae8a7be983465fd2f9717ed4155b23e2f64fa10d3a5d3a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-06-11T12:59:21Z",
    "title_canon_sha256": "f12979506174bc4a0bbd92eb032dd2ee0f0b88c2649941b482c9c95aef08ab0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09682",
    "kind": "arxiv",
    "version": 1
  }
}