Pith Number

pith:P3EZOY5W

pith:2011:P3EZOY5WKJWUHM425J5YPTXB4G

not attested not anchored not stored refs pending

The Nakamura numbers for computable simple games

H. Reiju Mihara, Masahiro Kumabe

arxiv:1107.0439 v1 · 2011-07-03 · cs.GT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P3EZOY5WKJWUHM425J5YPTXB4G}

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	2026-05-18T04:18:53.971404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ec99763b6526d43b39aea7b87cee1e1b26f48c5c644a68932298d37c7756cd7

Aliases

arxiv: 1107.0439 · arxiv_version: 1107.0439v1 · doi: 10.48550/arxiv.1107.0439 · pith_short_12: P3EZOY5WKJWU · pith_short_16: P3EZOY5WKJWUHM42 · pith_short_8: P3EZOY5W

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/P3EZOY5WKJWUHM425J5YPTXB4G \
  | 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: 7ec99763b6526d43b39aea7b87cee1e1b26f48c5c644a68932298d37c7756cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc13b7ee520874135350a0e04505b82b01cc370e3699811198d1ce59676693c",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2011-07-03T09:03:44Z",
    "title_canon_sha256": "51deea2e603e8bfa819224e4ae3b3301adb56c12027baebde97648865996459c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0439",
    "kind": "arxiv",
    "version": 1
  }
}