Pith Number

pith:VERXVQQF

pith:2012:VERXVQQFSWKZX4OGJI6MYKP7V5

not attested not anchored not stored refs pending

List-coloring graphs on surfaces with varying list-sizes

Alice M. Dean, Joan P. Hutchinson

arxiv:1206.3945 v3 · 2012-06-18 · 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{VERXVQQFSWKZX4OGJI6MYKP7V5}

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	2026-05-18T03:37:28.942117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9237ac20595959bf1c64a3ccc29ffaf5917727aa7a58b3dbd83bdb3cf5b0938

Aliases

arxiv: 1206.3945 · arxiv_version: 1206.3945v3 · doi: 10.48550/arxiv.1206.3945 · pith_short_12: VERXVQQFSWKZ · pith_short_16: VERXVQQFSWKZX4OG · pith_short_8: VERXVQQF

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/VERXVQQFSWKZX4OGJI6MYKP7V5 \
  | 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: a9237ac20595959bf1c64a3ccc29ffaf5917727aa7a58b3dbd83bdb3cf5b0938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0157453586960d9896c41f8c2a1343f6cf9d66e7729c6a014916d57c12825889",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-18T14:22:08Z",
    "title_canon_sha256": "d41941723bc004c88fa88351758e9d44c900b3c5697c29c3af461416323bff78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3945",
    "kind": "arxiv",
    "version": 3
  }
}