Pith Number

pith:K4HGF2SA

pith:2012:K4HGF2SAMFUGWJALSYWRSHTVZY

not attested not anchored not stored refs pending

Ramsey numbers of cubes versus cliques

Benny Sudakov, Choongbum Lee, David Conlon, Jacob Fox

arxiv:1208.1732 v2 · 2012-08-08 · 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{K4HGF2SAMFUGWJALSYWRSHTVZY}

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	2026-05-18T03:04:50.020352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570e62ea4061686b240b962d191e75ce3c6604d0a64aeacfd8d611811559c1be

Aliases

arxiv: 1208.1732 · arxiv_version: 1208.1732v2 · doi: 10.48550/arxiv.1208.1732 · pith_short_12: K4HGF2SAMFUG · pith_short_16: K4HGF2SAMFUGWJAL · pith_short_8: K4HGF2SA

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/K4HGF2SAMFUGWJALSYWRSHTVZY \
  | 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: 570e62ea4061686b240b962d191e75ce3c6604d0a64aeacfd8d611811559c1be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8125735ef60c00eab18ca8008773d10b03a8b5c014fc7767be25926f285558c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-08T18:40:22Z",
    "title_canon_sha256": "b0354630f74f6024f07fa51eab41add4dd10314b7960866a0f64c49cb288871a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1732",
    "kind": "arxiv",
    "version": 2
  }
}