Pith Number

pith:WWWJNFD6

pith:2010:WWWJNFD6PNXC3C2JLS5KT5P4FJ

not attested not anchored not stored refs pending

On the Multi-coloured Ramsey Numbers of Cycles

Jozef Skokan, Mikl\'os Simonovits, Tomasz {\L}uczak

arxiv:1005.3926 v2 · 2010-05-21 · 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{WWWJNFD6PNXC3C2JLS5KT5P4FJ}

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	2026-05-18T04:41:54.622341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5ac96947e7b6e2d8b495cbaa9f5fc2a78acd762b1c55889297ceae4631f7cc0

Aliases

arxiv: 1005.3926 · arxiv_version: 1005.3926v2 · doi: 10.48550/arxiv.1005.3926 · pith_short_12: WWWJNFD6PNXC · pith_short_16: WWWJNFD6PNXC3C2J · pith_short_8: WWWJNFD6

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/WWWJNFD6PNXC3C2JLS5KT5P4FJ \
  | 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: b5ac96947e7b6e2d8b495cbaa9f5fc2a78acd762b1c55889297ceae4631f7cc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcd51296079f3282d26aa2778def4d77b1cee39a80e850c2f1d4721b6f7c344c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-21T10:28:52Z",
    "title_canon_sha256": "13ff71990b7c023d1fcbb3570e68e1cd4beca081b842ea32d26960be2077646a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3926",
    "kind": "arxiv",
    "version": 2
  }
}