Pith Number

pith:VCNUJ2AB

pith:2021:VCNUJ2ABAYBOMRF5D7CDYZRMRN

not attested not anchored not stored refs pending

A Generalized Weisfeiler-Lehman Graph Kernel

Pascal Welke, Stefan Wrobel, Tam\'as Horv\'ath, Till Hendrik Schulz

arxiv:2101.08104 v1 · 2021-01-20 · 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{VCNUJ2ABAYBOMRF5D7CDYZRMRN}

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	2026-07-05T02:08:25.303578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89b44e8010602e644bd1fc43c662c8b41f93cd578f3e70d96fea549b37e0ba3

Aliases

arxiv: 2101.08104 · arxiv_version: 2101.08104v1 · doi: 10.48550/arxiv.2101.08104 · pith_short_12: VCNUJ2ABAYBO · pith_short_16: VCNUJ2ABAYBOMRF5 · pith_short_8: VCNUJ2AB

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/VCNUJ2ABAYBOMRF5D7CDYZRMRN \
  | 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: a89b44e8010602e644bd1fc43c662c8b41f93cd578f3e70d96fea549b37e0ba3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92f25ac9aac250f825301c5769d1fb40bdaae3da9576c12411423b8076be6cf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-01-20T13:03:51Z",
    "title_canon_sha256": "9e8afcea1c1406bdf64f3daca48e807e70dbec526abb2c15021fcbe92f1d4fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.08104",
    "kind": "arxiv",
    "version": 1
  }
}