Pith Number

pith:4WPPLDTZ

pith:2011:4WPPLDTZEKTJP2WFPTC7R6GVPW

not attested not anchored not stored refs pending

Locally identifying colourings for graphs with given maximum degree

Aline Parreau (IF), Florent Foucaud (LaBRI), Guillem Perarnau (UPC), Iiro Honkala, Tero Laihonen

arxiv:1108.2769 v2 · 2011-08-13 · 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{4WPPLDTZEKTJP2WFPTC7R6GVPW}

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	2026-05-18T03:56:34.022079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e59ef58e7922a697eac57cc5f8f8d57d95935369c244ef7fa46371a6665dd546

Aliases

arxiv: 1108.2769 · arxiv_version: 1108.2769v2 · doi: 10.48550/arxiv.1108.2769 · pith_short_12: 4WPPLDTZEKTJ · pith_short_16: 4WPPLDTZEKTJP2WF · pith_short_8: 4WPPLDTZ

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/4WPPLDTZEKTJP2WFPTC7R6GVPW \
  | 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: e59ef58e7922a697eac57cc5f8f8d57d95935369c244ef7fa46371a6665dd546

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e18efdf258f2325477ab27cffc4e33f87d0275fe381f538fd40815cace36d5b0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-08-13T06:57:36Z",
    "title_canon_sha256": "decc631d2d0e95ef585d3264b089d3e97bf4e1927d5998e550087f4dc8fe8a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2769",
    "kind": "arxiv",
    "version": 2
  }
}