Pith Number

pith:EJU6RCYA

pith:2012:EJU6RCYAZTR7BRBSWYQT7SF5HO

not attested not anchored not stored refs pending

On Some Multicolor Ramsey Numbers Involving $K_3+e$ and $K_4-e$

Daniel S. Shetler, Michael A. Wurtz, Stanis{\l}aw P. Radziszowski

arxiv:1201.0554 v2 · 2012-01-03 · 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{EJU6RCYAZTR7BRBSWYQT7SF5HO}

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	2026-05-18T02:50:52.167522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2269e88b00cce3f0c432b6213fc8bd3bb13fbae7d2cb0bc7de2b4f9110054fc4

Aliases

arxiv: 1201.0554 · arxiv_version: 1201.0554v2 · doi: 10.48550/arxiv.1201.0554 · pith_short_12: EJU6RCYAZTR7 · pith_short_16: EJU6RCYAZTR7BRBS · pith_short_8: EJU6RCYA

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/EJU6RCYAZTR7BRBSWYQT7SF5HO \
  | 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: 2269e88b00cce3f0c432b6213fc8bd3bb13fbae7d2cb0bc7de2b4f9110054fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ab077e98ebdd0cf7eac435fb7e195da06502e103e6f8ba761bf4af1e8f512c9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-03T00:18:43Z",
    "title_canon_sha256": "cb51435f181913d18ff5fd9d9bf969bc6ed466bc5e57443745b4926c2496ebad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0554",
    "kind": "arxiv",
    "version": 2
  }
}