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Pith Number

pith:TOTVW73S

pith:2011:TOTVW73SVKXMLUIYYUETNHSEKE
not attested not anchored not stored refs pending

Large chromatic number and Ramsey graphs

Csaba Bir\'o, Sogol Jahanbekam, Zolt\'an F\"uredi

arxiv:1103.3917 v3 · 2011-03-21 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TOTVW73SVKXMLUIYYUETNHSEKE}

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 2026-05-18T03:58:14.190515Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9ba75b7f72aaaec5d118c509369e445112bf1eff35616d2fd120eaad9723831c

Aliases

arxiv: 1103.3917 · arxiv_version: 1103.3917v3 · doi: 10.48550/arxiv.1103.3917 · pith_short_12: TOTVW73SVKXM · pith_short_16: TOTVW73SVKXMLUIY · pith_short_8: TOTVW73S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TOTVW73SVKXMLUIYYUETNHSEKE \
  | 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: 9ba75b7f72aaaec5d118c509369e445112bf1eff35616d2fd120eaad9723831c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7062002bcb5ebf5ea5ad867df62db0196b1e692c29c509138975b95128891aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-21T04:58:29Z",
    "title_canon_sha256": "06b50a2b62a1833928e1f8dee455e7f845052e5712aaa540b13e7e08a48251bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3917",
    "kind": "arxiv",
    "version": 3
  }
}