Pith Number

pith:D4M73KIV

pith:2017:D4M73KIVH5ZQHMGBN6RWIEUKST

not attested not anchored not stored refs pending

On the Combinatorial Power of the Weisfeiler-Lehman Algorithm

Martin F\"urer

arxiv:1704.01023 v1 · 2017-04-04 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4M73KIVH5ZQHMGBN6RWIEUKST}

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	2026-05-18T00:47:16.438807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f19fda9153f7303b0c16fa364128a94deed43cdad69c18f999f77c698857cd9

Aliases

arxiv: 1704.01023 · arxiv_version: 1704.01023v1 · doi: 10.48550/arxiv.1704.01023 · pith_short_12: D4M73KIVH5ZQ · pith_short_16: D4M73KIVH5ZQHMGB · pith_short_8: D4M73KIV

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/D4M73KIVH5ZQHMGBN6RWIEUKST \
  | 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: 1f19fda9153f7303b0c16fa364128a94deed43cdad69c18f999f77c698857cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "987558c09d0eab50964df0da7b864f6cc61060874b77f269d6b002f3de775967",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2017-04-04T14:04:37Z",
    "title_canon_sha256": "45fd131a111eb2e7863fea82449fc5e139179a117f3cc2e08d43c9364d11f0cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01023",
    "kind": "arxiv",
    "version": 1
  }
}