Pith Number

pith:YGWHYAM6

pith:2019:YGWHYAM6PEAAB66CZCWBZG47HL

not attested not anchored not stored refs pending

Cubic Planar Graphs that cannot be Drawn on few Lines

David Eppstein

arxiv:1903.05256 v1 · 2019-03-12 · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGWHYAM6PEAAB66CZCWBZG47HL}

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.

Cited by

1 paper in Pith

Line and Plane Cover Numbers Revisited

Receipt and verification

First computed	2026-07-05T03:42:58.938894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1ac7c019e790000fbc2c8ac1c9b9f3ac17dee0c942f204a4113435fef374ade

Aliases

arxiv: 1903.05256 · arxiv_version: 1903.05256v1 · doi: 10.48550/arxiv.1903.05256 · pith_short_12: YGWHYAM6PEAA · pith_short_16: YGWHYAM6PEAAB66C · pith_short_8: YGWHYAM6

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/YGWHYAM6PEAAB66CZCWBZG47HL \
  | 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: c1ac7c019e790000fbc2c8ac1c9b9f3ac17dee0c942f204a4113435fef374ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff65a50083876d26d25f77cade26954065d04de017506d81a9c02fcbce235510",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2019-03-12T23:23:06Z",
    "title_canon_sha256": "c5673f1f760ed57d371b677304d406951e5fb14c4b052e3f2e71e551cf6caf45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05256",
    "kind": "arxiv",
    "version": 1
  }
}