Pith Number

pith:7YULXZ2C

pith:2005:7YULXZ2C2SQDXA4A6JKHTDSYQS

not attested not anchored not stored refs pending

Computation of the Ramsey Number $R(W_5,K_5)$

Joshua Stinehour, Kung-Kuen Tse, Stanis{\l}aw Radziszowski

arxiv:cs/0512044 v1 · 2005-12-10 · 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{7YULXZ2C2SQDXA4A6JKHTDSYQS}

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	2026-05-18T02:50:50.736745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe28bbe742d4a03b8380f254798e5884b3c1a65ef2da7a1b45c8d2181899d7e6

Aliases

arxiv: cs/0512044 · arxiv_version: cs/0512044v1 · doi: 10.48550/arxiv.cs/0512044 · pith_short_12: 7YULXZ2C2SQD · pith_short_16: 7YULXZ2C2SQDXA4A · pith_short_8: 7YULXZ2C

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/7YULXZ2C2SQDXA4A6JKHTDSYQS \
  | 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: fe28bbe742d4a03b8380f254798e5884b3c1a65ef2da7a1b45c8d2181899d7e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4813f8ba8a5ee608ca62bdc759b3927728a80fa12c55875228d27efcbf87f044",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cs.DM",
    "submitted_at": "2005-12-10T23:57:02Z",
    "title_canon_sha256": "993670a7be802412cd889276a8d1e06f6d59f17472fd2fc8d7642bc8942c6827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0512044",
    "kind": "arxiv",
    "version": 1
  }
}