Pith Number

pith:OONMUWPX

pith:2013:OONMUWPXCVNLFSDNA7P6NASG2W

not attested not anchored not stored refs pending

The Ramsey number of the clique and the hypercube

David Saxton, Gonzalo Fiz Pontiveros, Jozef Skokan, Robert Morris, Simon Griffiths

arxiv:1306.0461 v1 · 2013-06-03 · 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{OONMUWPXCVNLFSDNA7P6NASG2W}

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	2026-05-18T00:44:29.771255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739aca59f7155ab2c86d07dfe68246d5969c54233b3152c7f3e4c70f39f88efe

Aliases

arxiv: 1306.0461 · arxiv_version: 1306.0461v1 · doi: 10.48550/arxiv.1306.0461 · pith_short_12: OONMUWPXCVNL · pith_short_16: OONMUWPXCVNLFSDN · pith_short_8: OONMUWPX

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/OONMUWPXCVNLFSDNA7P6NASG2W \
  | 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: 739aca59f7155ab2c86d07dfe68246d5969c54233b3152c7f3e4c70f39f88efe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a979f08a1e29da98e7a757d0c7fb964b2d56ca7938c4311132e5a08a32a654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-03T15:37:09Z",
    "title_canon_sha256": "50ae867710f7f2c168f47d88ede627b85fff34c5410a8304bc7a488dbdd41633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0461",
    "kind": "arxiv",
    "version": 1
  }
}