Pith Number

pith:3GYK7NFU

pith:2011:3GYK7NFUYMCTYI2GVP5ZIGXNBG

not attested not anchored not stored refs pending

The k-Tuple Domatic Number of a Graph

Adel P. Kazemi

arxiv:1106.5589 v1 · 2011-06-28 · 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{3GYK7NFUYMCTYI2GVP5ZIGXNBG}

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	2026-05-17T23:43:54.523860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9b0afb4b4c3053c2346abfb941aed09ab345a6a1934531884ebc75a8b7ab9ef

Aliases

arxiv: 1106.5589 · arxiv_version: 1106.5589v1 · doi: 10.48550/arxiv.1106.5589 · pith_short_12: 3GYK7NFUYMCT · pith_short_16: 3GYK7NFUYMCTYI2G · pith_short_8: 3GYK7NFU

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/3GYK7NFUYMCTYI2GVP5ZIGXNBG \
  | 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: d9b0afb4b4c3053c2346abfb941aed09ab345a6a1934531884ebc75a8b7ab9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da1e406af1cbda7835d438e5fb08067e54b7eaec88a1ee7957c5bee821c54dcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-28T08:24:04Z",
    "title_canon_sha256": "0d5541f73848b1bd52d62698551de89b7ba251f4f9b887719c1352f1a87e0a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5589",
    "kind": "arxiv",
    "version": 1
  }
}