Pith Number

pith:VQX5VZCP

pith:2012:VQX5VZCPI3524H7FN43AVNBUZB

not attested not anchored not stored refs pending

Variants of Wythoff's game translating its P-positions

Nhan Bao Ho

arxiv:1203.2090 v2 · 2012-03-08 · 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{VQX5VZCPI3524H7FN43AVNBUZB}

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	2026-05-18T03:59:26.997006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2fdae44f46fbae1fe56f360ab434c86eab3e33782eb2d08d2200426f5883d0

Aliases

arxiv: 1203.2090 · arxiv_version: 1203.2090v2 · doi: 10.48550/arxiv.1203.2090 · pith_short_12: VQX5VZCPI352 · pith_short_16: VQX5VZCPI3524H7F · pith_short_8: VQX5VZCP

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/VQX5VZCPI3524H7FN43AVNBUZB \
  | 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: ac2fdae44f46fbae1fe56f360ab434c86eab3e33782eb2d08d2200426f5883d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe49d285bb54abebabbd52a28d3e0f5e74a535778bfcd9bef0a05216b52d875",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-08T12:24:30Z",
    "title_canon_sha256": "72b84aab73c7ef9c713928c16801fee5bc70589181e8a1a1a280a9b47b648ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2090",
    "kind": "arxiv",
    "version": 2
  }
}