Pith Number

pith:YGORYOX4

pith:2012:YGORYOX4XEHUOXOK62V76JD5FE

not attested not anchored not stored refs pending

New Upper and Lower Bounds on the Rado Numbers

Nithin Tumma, Russel Moriarty, William Gasarch

arxiv:1206.4885 v1 · 2012-06-21 · 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{YGORYOX4XEHUOXOK62V76JD5FE}

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	2026-05-18T03:52:54.054492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19d1c3afcb90f475dcaf6abff247d292eab7b24710c2f0944fc9b96fb3d3965

Aliases

arxiv: 1206.4885 · arxiv_version: 1206.4885v1 · doi: 10.48550/arxiv.1206.4885 · pith_short_12: YGORYOX4XEHU · pith_short_16: YGORYOX4XEHUOXOK · pith_short_8: YGORYOX4

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/YGORYOX4XEHUOXOK62V76JD5FE \
  | 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: c19d1c3afcb90f475dcaf6abff247d292eab7b24710c2f0944fc9b96fb3d3965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acffd9da65cbdc8c15993084be614926aab855eb0f7dedbd7939a98031de894d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-21T14:00:58Z",
    "title_canon_sha256": "f14a9a5c380f7b2b694374c515afe56eb91463a9241fc2ece408fa2b9e26375a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4885",
    "kind": "arxiv",
    "version": 1
  }
}