Pith Number

pith:JJOZFBP2

pith:2012:JJOZFBP2QTOMNX4PVZLUHSEMHH

not attested not anchored not stored refs pending

Three Proofs of the Hypergraph Ramsey Theorem (An exposition)

Andy Parrish, Sandow Sinai, William Gasarch

arxiv:1206.4257 v1 · 2012-06-19 · 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{JJOZFBP2QTOMNX4PVZLUHSEMHH}

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.

Cited by

1 paper in Pith

Recursive upper bounds for the vertex online Ramsey game with applications to hypergraph Ramsey numbers

Receipt and verification

First computed	2026-05-18T03:53:07.601398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a5d9285fa84dcc6df8fae5743c88c39f85d5e12b90e6796422c499c6dfd3bec

Aliases

arxiv: 1206.4257 · arxiv_version: 1206.4257v1 · doi: 10.48550/arxiv.1206.4257 · pith_short_12: JJOZFBP2QTOM · pith_short_16: JJOZFBP2QTOMNX4P · pith_short_8: JJOZFBP2

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/JJOZFBP2QTOMNX4PVZLUHSEMHH \
  | 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: 4a5d9285fa84dcc6df8fae5743c88c39f85d5e12b90e6796422c499c6dfd3bec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f71a7005d709fe9616d9ee24aa41c29e545e904998e7e3f2ec594ebedd2dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-19T16:33:13Z",
    "title_canon_sha256": "3d1986b280b8befebc91c4c03d6060478ecd2b89d784f61c98f691147f6458f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4257",
    "kind": "arxiv",
    "version": 1
  }
}