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Pith Number

pith:PURK3PJY

pith:2015:PURK3PJY2HVZQDNIFVEMLQ5ZL2
not attested not anchored not stored refs pending

On tame, pet, domestic, and miserable impartial games

Nhan Bao Ho, Vladimir Gurvich

arxiv:1508.06343 v3 · 2015-08-26 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PURK3PJY2HVZQDNIFVEMLQ5ZL2}

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 2026-05-18T00:44:10.023068Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d22adbd38d1eb980da82d48c5c3b95e897326c014cf73269936b3fe0d95859d

Aliases

arxiv: 1508.06343 · arxiv_version: 1508.06343v3 · doi: 10.48550/arxiv.1508.06343 · pith_short_12: PURK3PJY2HVZ · pith_short_16: PURK3PJY2HVZQDNI · pith_short_8: PURK3PJY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PURK3PJY2HVZQDNIFVEMLQ5ZL2 \
  | 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: 7d22adbd38d1eb980da82d48c5c3b95e897326c014cf73269936b3fe0d95859d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3b34c2cbf6ac41280ecb4f512c29308289bf013abc439a7d91d95f8e4087abc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-26T01:55:51Z",
    "title_canon_sha256": "489b9338dacabc53cea5a5b75aa5d4979f5e92609fe329b9354d22858978c6b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06343",
    "kind": "arxiv",
    "version": 3
  }
}