Pith Number

pith:5ZKNWMJG

pith:2012:5ZKNWMJGUUAKFUESUZLC5W7NRG

not attested not anchored not stored refs pending

Few Long Lists for Edge Choosability of Planar Cubic Graphs

Andrea Spencer, Luis Goddyn

arxiv:1210.7944 v1 · 2012-10-30 · 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{5ZKNWMJGUUAKFUESUZLC5W7NRG}

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	2026-05-18T03:41:57.563601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee54db3126a500a2d092a6562edbed89aae648439298d30eb77f777717735eda

Aliases

arxiv: 1210.7944 · arxiv_version: 1210.7944v1 · doi: 10.48550/arxiv.1210.7944 · pith_short_12: 5ZKNWMJGUUAK · pith_short_16: 5ZKNWMJGUUAKFUES · pith_short_8: 5ZKNWMJG

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/5ZKNWMJGUUAKFUESUZLC5W7NRG \
  | 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: ee54db3126a500a2d092a6562edbed89aae648439298d30eb77f777717735eda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45f80fe069c3d8f836f23fb7bc9ab4ec1a9b11a9a7c9695c8498e011e4990f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-30T09:49:16Z",
    "title_canon_sha256": "27f148293c866b7a06f4a5290931981c551a51574cde3b326e823eb2dbf735c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7944",
    "kind": "arxiv",
    "version": 1
  }
}