Pith Number

pith:A224M47X

pith:2012:A224M47XHT6YONOFBDWBR5R66O

not attested not anchored not stored refs pending

Ramsey numbers R(K3,G) for graphs of order 10

Gunnar Brinkmann, Jan-Christoph Schlage-Puchta, Jan Goedgebeur

arxiv:1208.0501 v2 · 2012-08-02 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A224M47XHT6YONOFBDWBR5R66O}

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	2026-05-18T03:40:02.838617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b5c673f73cfd8735c508ec18f63ef396d08f2be42660b1026a951d24bfb15d

Aliases

arxiv: 1208.0501 · arxiv_version: 1208.0501v2 · doi: 10.48550/arxiv.1208.0501 · pith_short_12: A224M47XHT6Y · pith_short_16: A224M47XHT6YONOF · pith_short_8: A224M47X

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/A224M47XHT6YONOFBDWBR5R66O \
  | 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: 06b5c673f73cfd8735c508ec18f63ef396d08f2be42660b1026a951d24bfb15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6521c9ca61682b0e0f88eeadd410ebfa297828e1891b38be534d1790e2d17d02",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-02T14:33:14Z",
    "title_canon_sha256": "043130d00a3494c31c7a7a9e2431837aefa224855259bb227debc33bf16774d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0501",
    "kind": "arxiv",
    "version": 2
  }
}