Pith Number

pith:Z4AXZJA5

pith:2018:Z4AXZJA53H5EZX2NVBOTA3JJ2N

not attested not anchored not stored refs pending

A Tight Extremal Bound on the Lov\'{a}sz Cactus Number in Planar Graphs

Andreas Schmid, Parinya Chalermsook, Sumedha Uniyal

arxiv:1804.03485 v3 · 2018-04-10 · cs.DM · cs.DS · 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{Z4AXZJA53H5EZX2NVBOTA3JJ2N}

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	2026-05-17T23:51:14.605164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf017ca41dd9fa4cdf4da85d306d29d3551c3385ff7777d804622db246322779

Aliases

arxiv: 1804.03485 · arxiv_version: 1804.03485v3 · doi: 10.48550/arxiv.1804.03485 · pith_short_12: Z4AXZJA53H5E · pith_short_16: Z4AXZJA53H5EZX2N · pith_short_8: Z4AXZJA5

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/Z4AXZJA53H5EZX2NVBOTA3JJ2N \
  | 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: cf017ca41dd9fa4cdf4da85d306d29d3551c3385ff7777d804622db246322779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28ceb6ee1435e4cbd2dbf7f5ecf1188c51d8dd4644c09f09e7c9e246cb68cdd6",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-04-10T12:50:19Z",
    "title_canon_sha256": "486833d1745b8cc8a6c6618346063a9437b48e2cc6f0d0662b26e9db31fe894b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03485",
    "kind": "arxiv",
    "version": 3
  }
}