Pith Number

pith:PZ44S62D

pith:2014:PZ44S62DCHYD75LTWRCGP44TAL

not attested not anchored not stored refs pending

Three classes of 1-planar graphs

J\'ulius Czap, Peter \v{S}ugerek

arxiv:1404.1222 v1 · 2014-04-04 · 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{PZ44S62DCHYD75LTWRCGP44TAL}

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	2026-05-18T00:48:43.460367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e79c97b4311f03ff573b44467f39302df4184807b50b13ada4f48bc798f25ee

Aliases

arxiv: 1404.1222 · arxiv_version: 1404.1222v1 · doi: 10.48550/arxiv.1404.1222 · pith_short_12: PZ44S62DCHYD · pith_short_16: PZ44S62DCHYD75LT · pith_short_8: PZ44S62D

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/PZ44S62DCHYD75LTWRCGP44TAL \
  | 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: 7e79c97b4311f03ff573b44467f39302df4184807b50b13ada4f48bc798f25ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81eff4a1affa38488fbb1cba151374d391f5ae2fcdd61838f0a54e32735ffcb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-04T11:52:31Z",
    "title_canon_sha256": "2cd5077f6ce286f9fa3cbe2dae3b8fd96f224d28d6381f5349c49469dfbcd954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1222",
    "kind": "arxiv",
    "version": 1
  }
}