Pith Number

pith:KS2CLQVL

pith:2018:KS2CLQVLJTWHS43E7NPB2P2XIB

not attested not anchored not stored refs pending

On Weisfeiler-Leman Invariance: Subgraph Counts and Related Graph Properties

Frank Fuhlbr\"uck, Johannes K\"obler, Oleg Verbitsky, V. Arvind

arxiv:1811.04801 v3 · 2018-11-09 · cs.DM · cs.CC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KS2CLQVLJTWHS43E7NPB2P2XIB}

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	2026-05-17T23:49:03.071711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b425c2ab4cec797364fb5e1d3f57404aa4b7d1e178ada3a02bac13188a63c8

Aliases

arxiv: 1811.04801 · arxiv_version: 1811.04801v3 · doi: 10.48550/arxiv.1811.04801 · pith_short_12: KS2CLQVLJTWH · pith_short_16: KS2CLQVLJTWHS43E · pith_short_8: KS2CLQVL

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/KS2CLQVLJTWHS43E7NPB2P2XIB \
  | 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: 54b425c2ab4cec797364fb5e1d3f57404aa4b7d1e178ada3a02bac13188a63c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b502f06a5d56b6bf64d0cbd25c51d818b4b83cad1d86d8a8cdbdc1de86f1e9a7",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-11-09T15:44:43Z",
    "title_canon_sha256": "9f2da5efe0103b684e73583d88e8d0692534eac7766e6cc0c06188dbb5b31690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.04801",
    "kind": "arxiv",
    "version": 3
  }
}