Pith Number

pith:FREV6Y43

pith:2016:FREV6Y43CQAJMVKFHVWOKXUIJ6

not attested not anchored not stored refs pending

Chromatic index, treewidth and maximum degree

Henning Bruhn, Laura Gellert, Richard Lang

arxiv:1603.05018 v3 · 2016-03-16 · 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{FREV6Y43CQAJMVKFHVWOKXUIJ6}

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	2026-05-18T00:17:46.528598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c495f639b14009655453d6ce55e884fb42bbaddd69e1e56b3649f277924e8ce

Aliases

arxiv: 1603.05018 · arxiv_version: 1603.05018v3 · doi: 10.48550/arxiv.1603.05018 · pith_short_12: FREV6Y43CQAJ · pith_short_16: FREV6Y43CQAJMVKF · pith_short_8: FREV6Y43

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/FREV6Y43CQAJMVKFHVWOKXUIJ6 \
  | 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: 2c495f639b14009655453d6ce55e884fb42bbaddd69e1e56b3649f277924e8ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fa39ab9d85cac0b6ac2879f4a3aeeb8538682224ac56d27d215d5c6f5efc795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-16T10:26:02Z",
    "title_canon_sha256": "249eff09c2e737a039a27b95e6d5b6959181b3b93c261fda80eef69cf286c82b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05018",
    "kind": "arxiv",
    "version": 3
  }
}