Pith Number

pith:VD4H2P47

pith:2013:VD4H2P472F6HNZNAPX4VYAX4KS

not attested not anchored not stored refs pending

List edge-colouring and total colouring in graphs of low treewidth

Henning Bruhn, Maya Stein, Richard Lang

arxiv:1311.2969 v1 · 2013-11-12 · 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{VD4H2P472F6HNZNAPX4VYAX4KS}

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	2026-05-18T03:07:13.523566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8f87d3f9fd17c76e5a07df95c02fc54a5197111fec13778878e37aaeb459180

Aliases

arxiv: 1311.2969 · arxiv_version: 1311.2969v1 · doi: 10.48550/arxiv.1311.2969 · pith_short_12: VD4H2P472F6H · pith_short_16: VD4H2P472F6HNZNA · pith_short_8: VD4H2P47

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/VD4H2P472F6HNZNAPX4VYAX4KS \
  | 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: a8f87d3f9fd17c76e5a07df95c02fc54a5197111fec13778878e37aaeb459180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191c4f6461440432246f1239cf4d5b7f154d80cad99ff7fdf3a3ba29068a61a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-12T22:11:08Z",
    "title_canon_sha256": "2645149c89de4e7801a6f9b93f21bec7298ea022557bd527abe0c22ccb5c26b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2969",
    "kind": "arxiv",
    "version": 1
  }
}