Pith Number

pith:OE3EPUWE

pith:2016:OE3EPUWE7QYFKAAHV2HLJZYJYD

not attested not anchored not stored refs pending

Chromatic Vertex Folkman Numbers

Meilian Liang, Stanis{\l}aw Radziszowski, Xiaodong Xu

arxiv:1612.08136 v3 · 2016-12-24 · 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{OE3EPUWE7QYFKAAHV2HLJZYJYD}

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	2026-05-17T23:45:04.978219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713647d2c4fc30550007ae8eb4e709c0d1c2dc65444f0c453ffcfce8c425ec93

Aliases

arxiv: 1612.08136 · arxiv_version: 1612.08136v3 · doi: 10.48550/arxiv.1612.08136 · pith_short_12: OE3EPUWE7QYF · pith_short_16: OE3EPUWE7QYFKAAH · pith_short_8: OE3EPUWE

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/OE3EPUWE7QYFKAAHV2HLJZYJYD \
  | 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: 713647d2c4fc30550007ae8eb4e709c0d1c2dc65444f0c453ffcfce8c425ec93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2914d09f27797950ec32603e10de915afc92a734f125e90202e2595bd2809c58",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-24T04:03:30Z",
    "title_canon_sha256": "241308c784d85b87368884ee3350a1f14c9e31e561d9d5d5581c73964414ff95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08136",
    "kind": "arxiv",
    "version": 3
  }
}