Pith Number

pith:D5F5KIRU

pith:2014:D5F5KIRUD2O6XUPDUKHKADIV5V

not attested not anchored not stored refs pending

When are translations of P-positions of Wythoff's game P-positions?

Aviezri S. Fraenkel, Nhan Bao Ho

arxiv:1403.2512 v1 · 2014-03-11 · 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{D5F5KIRUD2O6XUPDUKHKADIV5V}

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	2026-05-18T02:56:43.158494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f4bd522341e9debd1e3a28ea00d15ed67578f54ead300d5de0d98ad3b8196d4

Aliases

arxiv: 1403.2512 · arxiv_version: 1403.2512v1 · doi: 10.48550/arxiv.1403.2512 · pith_short_12: D5F5KIRUD2O6 · pith_short_16: D5F5KIRUD2O6XUPD · pith_short_8: D5F5KIRU

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/D5F5KIRUD2O6XUPDUKHKADIV5V \
  | 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: 1f4bd522341e9debd1e3a28ea00d15ed67578f54ead300d5de0d98ad3b8196d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77303ee45468bad6a4b92398f8bd7f1db2dfc87bc18de6840ab1b5979423b0dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-11T09:21:36Z",
    "title_canon_sha256": "0288161a410d484c6a34f18e9984cc2b67bcce92a76ff4ddbdc54f2a1a6d4d78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2512",
    "kind": "arxiv",
    "version": 1
  }
}