Pith Number

pith:Z7J6GUOB

pith:2013:Z7J6GUOBNRM7ZIROFQGY3UWXFZ

not attested not anchored not stored refs pending

Coloring planar graphs with three colors and no large monochromatic components

Gwena\"el Joret, Louis Esperet

arxiv:1303.2487 v3 · 2013-03-11 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7J6GUOBNRM7ZIROFQGY3UWXFZ}

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	2026-05-18T02:49:31.850054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd3e351c16c59fca22e2c0d8dd2d72e6be169a9ec5e1115ddfa7f1ad1975f91

Aliases

arxiv: 1303.2487 · arxiv_version: 1303.2487v3 · doi: 10.48550/arxiv.1303.2487 · pith_short_12: Z7J6GUOBNRM7 · pith_short_16: Z7J6GUOBNRM7ZIRO · pith_short_8: Z7J6GUOB

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/Z7J6GUOBNRM7ZIROFQGY3UWXFZ \
  | 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: cfd3e351c16c59fca22e2c0d8dd2d72e6be169a9ec5e1115ddfa7f1ad1975f91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b186fa6593c4c15f22b5c2e8cc8493bec9be569ba6675f9aff318377c1e294ab",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-11T11:18:11Z",
    "title_canon_sha256": "fbc07f8be92509f649bec0652549a7cc7402b3fe888078a190600ac18616c8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2487",
    "kind": "arxiv",
    "version": 3
  }
}