Pith Number

pith:ZBXVEZUW

pith:2010:ZBXVEZUWHEMO6JW6TGPX76JDGV

not attested not anchored not stored refs pending

Equilibrium solution to the lowest unique positive integer game

Sebastian Bernhardsson, Seung Ki Baek

arxiv:1001.1065 v1 · 2010-01-07 · math.CO · cs.GT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBXVEZUWHEMO6JW6TGPX76JDGV}

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	2026-05-18T04:38:50.716804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86f5266963918ef26de999f7ff92335787bd5602a078acb1791337d148bc202

Aliases

arxiv: 1001.1065 · arxiv_version: 1001.1065v1 · doi: 10.48550/arxiv.1001.1065 · pith_short_12: ZBXVEZUWHEMO · pith_short_16: ZBXVEZUWHEMO6JW6 · pith_short_8: ZBXVEZUW

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/ZBXVEZUWHEMO6JW6TGPX76JDGV \
  | 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: c86f5266963918ef26de999f7ff92335787bd5602a078acb1791337d148bc202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1598b9e6e52c198725eaa260db1a983a7c46e38c83c6083ac3a0d3f5e800dfbc",
    "cross_cats_sorted": [
      "cs.GT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-07T12:55:40Z",
    "title_canon_sha256": "0d6556294d0bac4117378d9e3a632d79e63cb52cc20b978211ec1a969c616b4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1065",
    "kind": "arxiv",
    "version": 1
  }
}