Pith Number

pith:42ZK3OK6

pith:2014:42ZK3OK6UNDFIERUK7PQ44FYFZ

not attested not anchored not stored refs pending

The edge chromatic number of outer-1-planar graphs

Xin Zhang

arxiv:1405.3183 v2 · 2014-05-13 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42ZK3OK6UNDFIERUK7PQ44FYFZ}

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	2026-05-18T02:51:56.479058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b2adb95ea34654123457df0e70b82e53c07de55ebe1429263601f55a0b4993

Aliases

arxiv: 1405.3183 · arxiv_version: 1405.3183v2 · doi: 10.48550/arxiv.1405.3183 · pith_short_12: 42ZK3OK6UNDF · pith_short_16: 42ZK3OK6UNDFIERU · pith_short_8: 42ZK3OK6

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/42ZK3OK6UNDFIERUK7PQ44FYFZ \
  | 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: e6b2adb95ea34654123457df0e70b82e53c07de55ebe1429263601f55a0b4993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94cdd51fdd61e62186ac406680c0ad410101033a2e662dcb7130bfb871fec2de",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-13T15:18:12Z",
    "title_canon_sha256": "ad489660f7970f6fb087987f083d1880c39fbd2ab7aec44ba199304f261c73b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3183",
    "kind": "arxiv",
    "version": 2
  }
}