Pith Number

pith:N47WJNFQ

pith:2011:N47WJNFQGEHIPBKWF4IDLTBOS3

not attested not anchored not stored refs pending

Some Exact Ramsey-Tur\'an Numbers

John Lenz, J\'ozsef Balogh

arxiv:1109.4472 v2 · 2011-09-21 · 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{N47WJNFQGEHIPBKWF4IDLTBOS3}

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	2026-05-18T03:17:34.417773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3f64b4b0310e8785562f1035cc2e96c0a0423756c194fa14e19ecc7f1f0dc9

Aliases

arxiv: 1109.4472 · arxiv_version: 1109.4472v2 · doi: 10.48550/arxiv.1109.4472 · pith_short_12: N47WJNFQGEHI · pith_short_16: N47WJNFQGEHIPBKW · pith_short_8: N47WJNFQ

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/N47WJNFQGEHIPBKWF4IDLTBOS3 \
  | 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: 6f3f64b4b0310e8785562f1035cc2e96c0a0423756c194fa14e19ecc7f1f0dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d6778de701809deb62ec67333052f5f56a472ba0900ceceeb0f8da42032d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-21T04:25:59Z",
    "title_canon_sha256": "20c9685b0601396a5ad09099979b484bb1fee913825b80ce880302754474266a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4472",
    "kind": "arxiv",
    "version": 2
  }
}