Pith Number

pith:6NYCZV4O

pith:2013:6NYCZV4O52L74NDGD6R7JIHY3Q

not attested not anchored not stored refs pending

The Ramsey Number $R(3,K_{10}-e)$ and Computational Bounds for $R(3,G)$

Jan Goedgebeur, Stanis{\l}aw P. Radziszowski

arxiv:1309.0038 v2 · 2013-08-30 · math.CO · 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{6NYCZV4O52L74NDGD6R7JIHY3Q}

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	2026-05-18T03:06:54.497696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3702cd78eee97fe34661fa3f4a0f8dc31bfd3583e1501411266f33221dc90ce

Aliases

arxiv: 1309.0038 · arxiv_version: 1309.0038v2 · doi: 10.48550/arxiv.1309.0038 · pith_short_12: 6NYCZV4O52L7 · pith_short_16: 6NYCZV4O52L74NDG · pith_short_8: 6NYCZV4O

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/6NYCZV4O52L74NDGD6R7JIHY3Q \
  | 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: f3702cd78eee97fe34661fa3f4a0f8dc31bfd3583e1501411266f33221dc90ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51e22dca5bc83107e7209ded69b1a3a7649ddb7041be6749fa695c917b3632a",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-30T22:09:35Z",
    "title_canon_sha256": "b3df4469826ece163f58695c99b33017f01167b4b334bfc8e3cd3ceeb1151116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0038",
    "kind": "arxiv",
    "version": 2
  }
}