Pith Number

pith:5V7YLIVJ

pith:2019:5V7YLIVJYFVRMBFL62SKNLGPY2

not attested not anchored not stored refs pending

The Power of the Weisfeiler-Leman Algorithm to Decompose Graphs

Daniel Neuen, Sandra Kiefer

arxiv:1908.05268 v2 · 2019-08-14 · cs.DM · cs.LO · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5V7YLIVJYFVRMBFL62SKNLGPY2}

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	2026-07-05T04:40:41.885661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed7f85a2a9c16b1604abf6a4a6accfc6a6cc8d0ec061e930d1773beb385564a6

Aliases

arxiv: 1908.05268 · arxiv_version: 1908.05268v2 · doi: 10.48550/arxiv.1908.05268 · pith_short_12: 5V7YLIVJYFVR · pith_short_16: 5V7YLIVJYFVRMBFL · pith_short_8: 5V7YLIVJ

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/5V7YLIVJYFVRMBFL62SKNLGPY2 \
  | 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: ed7f85a2a9c16b1604abf6a4a6accfc6a6cc8d0ec061e930d1773beb385564a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166fdadd594b867e4e3c009970fb686f650a1e378a5c0315c826e338d7c1b381",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-08-14T17:49:29Z",
    "title_canon_sha256": "8d4bc6adf0d204923e4485d80edff1c182d0af434d70e916cca241b9726ecfd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05268",
    "kind": "arxiv",
    "version": 2
  }
}