Pith Number

pith:VDNWRTFO

pith:2013:VDNWRTFOZUUNAADUWPRZYIRTPE

not attested not anchored not stored refs pending

Chromatic Number Via Turan Number

Hossein Hajiabolhassan, Meysam Alishahi

arxiv:1401.0138 v4 · 2013-12-31 · 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{VDNWRTFOZUUNAADUWPRZYIRTPE}

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	2026-05-18T01:29:21.931236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8db68ccaecd28d00074b3e39c223379183f340160035ce81e4a21b9f40be7ce

Aliases

arxiv: 1401.0138 · arxiv_version: 1401.0138v4 · doi: 10.48550/arxiv.1401.0138 · pith_short_12: VDNWRTFOZUUN · pith_short_16: VDNWRTFOZUUNAADU · pith_short_8: VDNWRTFO

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/VDNWRTFOZUUNAADUWPRZYIRTPE \
  | 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: a8db68ccaecd28d00074b3e39c223379183f340160035ce81e4a21b9f40be7ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7791d47c525a72a398be51fda934abcce683b450adc7864e954a789b7a71c437",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-31T13:01:19Z",
    "title_canon_sha256": "d68e84e849610c81bd25bba6b2de7635647038ce4b887cc558542b2e36a2f6a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0138",
    "kind": "arxiv",
    "version": 4
  }
}