Pith Number

pith:CO63C5VT

pith:2013:CO63C5VTCMEK2OCPQEW4RKZHLH

not attested not anchored not stored refs pending

Multicolor Ramsey numbers for triple systems

Andras Gyarfas, Dhruv Mubayi, Hong Liu, Maria Axenovich

arxiv:1302.5304 v1 · 2013-02-21 · 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{CO63C5VTCMEK2OCPQEW4RKZHLH}

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	2026-05-18T03:32:58.078425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13bdb176b31308ad384f812dc8ab2759de7af9c7ed7b3f3b5dad82373f00626a

Aliases

arxiv: 1302.5304 · arxiv_version: 1302.5304v1 · doi: 10.48550/arxiv.1302.5304 · pith_short_12: CO63C5VTCMEK · pith_short_16: CO63C5VTCMEK2OCP · pith_short_8: CO63C5VT

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/CO63C5VTCMEK2OCPQEW4RKZHLH \
  | 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: 13bdb176b31308ad384f812dc8ab2759de7af9c7ed7b3f3b5dad82373f00626a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2f0b0217f656430a50db618d851243711046db734cfc9df41d8e9963a32d92e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-21T15:28:31Z",
    "title_canon_sha256": "d0bba9cefac2c428da612e8cf49fd6077dc3af85ae258fc2b3ffdf51502da6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5304",
    "kind": "arxiv",
    "version": 1
  }
}