Pith Number

pith:ZHOJALNE

pith:2011:ZHOJALNEJIGNPL6GWTXNJQYDDL

not attested not anchored not stored refs pending

Nonseparating K4-subdivisions in graphs of minimum degree at least 4

Matthias Kriesell

arxiv:1101.5278 v1 · 2011-01-27 · 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{ZHOJALNEJIGNPL6GWTXNJQYDDL}

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	2026-05-18T04:30:35.784893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9dc902da44a0cd7afc6b4eed4c3031aee7e017b19706ad53315dc3b450d7b75

Aliases

arxiv: 1101.5278 · arxiv_version: 1101.5278v1 · doi: 10.48550/arxiv.1101.5278 · pith_short_12: ZHOJALNEJIGN · pith_short_16: ZHOJALNEJIGNPL6G · pith_short_8: ZHOJALNE

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/ZHOJALNEJIGNPL6GWTXNJQYDDL \
  | 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: c9dc902da44a0cd7afc6b4eed4c3031aee7e017b19706ad53315dc3b450d7b75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea92684ee4efdb45492616bf666d3147a6e963efc7cdceccf201dc240486990",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-27T13:12:28Z",
    "title_canon_sha256": "fd3bef27d59b1995b84f8a4e0934fd58fe86cc3604ff77fb89e47fb3aa0282e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5278",
    "kind": "arxiv",
    "version": 1
  }
}