Pith Number

pith:6PNQDWTT

pith:2019:6PNQDWTTO5ZPOX7E5TRFWF3BCH

not attested not anchored not stored refs pending

Z-domination game

Csilla Bujt\'as, Sandi Klav\v{z}ar, Vesna Ir\v{s}i\v{c}

arxiv:1911.08889 v1 · 2019-11-20 · 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{6PNQDWTTO5ZPOX7E5TRFWF3BCH}

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	2026-07-05T00:20:46.683832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3db01da737772f75fe4ece25b176111c1c1ccee36ded86e8afce6d30f4fa601

Aliases

arxiv: 1911.08889 · arxiv_version: 1911.08889v1 · doi: 10.48550/arxiv.1911.08889 · pith_short_12: 6PNQDWTTO5ZP · pith_short_16: 6PNQDWTTO5ZPOX7E · pith_short_8: 6PNQDWTT

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/6PNQDWTTO5ZPOX7E5TRFWF3BCH \
  | 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: f3db01da737772f75fe4ece25b176111c1c1ccee36ded86e8afce6d30f4fa601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d94513649bbad2c1ec321f4cf48c28b70f40cceea67d9c122b45515e1fca68f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-11-20T13:25:27Z",
    "title_canon_sha256": "3481511f1d175864a84efb3123d56323f362dc6b47ed830f161bdcea43d40b39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.08889",
    "kind": "arxiv",
    "version": 1
  }
}