Pith Number

pith:OVQIT5CC

pith:2017:OVQIT5CCKWCT6H3S354P2E2IO4

not attested not anchored not stored refs pending

Triangle-free graphs of tree-width t are ceil((t + 3)/2)-colorable

Ken-ichi Kawarabayashi, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1706.00337 v2 · 2017-06-01 · 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{OVQIT5CCKWCT6H3S354P2E2IO4}

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	2026-05-18T00:42:43.436520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

756089f44255853f1f72df78fd1348770b6c906cfe57ed7e7d90a48afc889c0f

Aliases

arxiv: 1706.00337 · arxiv_version: 1706.00337v2 · doi: 10.48550/arxiv.1706.00337 · pith_short_12: OVQIT5CCKWCT · pith_short_16: OVQIT5CCKWCT6H3S · pith_short_8: OVQIT5CC

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/OVQIT5CCKWCT6H3S354P2E2IO4 \
  | 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: 756089f44255853f1f72df78fd1348770b6c906cfe57ed7e7d90a48afc889c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b801cd3ab282fe787c75e88b0316f1d499c246e240dd44a260a46764702be837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-01T15:16:51Z",
    "title_canon_sha256": "ffec8ce895fc50f0c8b03dfed6ac878199b79b9b12ddbea8caa486e0451239dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00337",
    "kind": "arxiv",
    "version": 2
  }
}