Pith Number

pith:TSSWRXX4

pith:2013:TSSWRXX4ZCYMBXPBCQOWE2BV5P

not attested not anchored not stored refs pending

The Distribution of Ramsey Numbers

Frank Gaitan, Lane Clark

arxiv:1303.3793 v2 · 2013-03-15 · math.CO · cs.DM · math-ph · math.MP · physics.comp-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSSWRXX4ZCYMBXPBCQOWE2BV5P}

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	2026-05-18T02:38:17.293128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca568defcc8b0c0dde1141d626835ebf095e80a2bd2085e71382aa12fa15592

Aliases

arxiv: 1303.3793 · arxiv_version: 1303.3793v2 · doi: 10.48550/arxiv.1303.3793 · pith_short_12: TSSWRXX4ZCYM · pith_short_16: TSSWRXX4ZCYMBXPB · pith_short_8: TSSWRXX4

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/TSSWRXX4ZCYMBXPBCQOWE2BV5P \
  | 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: 9ca568defcc8b0c0dde1141d626835ebf095e80a2bd2085e71382aa12fa15592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577705a5397fb5a7a22708b28933f355054bf71ab366342cfe3bac465ab5a3e7",
    "cross_cats_sorted": [
      "cs.DM",
      "math-ph",
      "math.MP",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-03-15T14:49:25Z",
    "title_canon_sha256": "bd235be8c14e45219b0d88003a8ef65e9c1d103aad8bddbfc4a2165fd4b24ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3793",
    "kind": "arxiv",
    "version": 2
  }
}