Pith Number

pith:4OELWHL5

pith:2017:4OELWHL5JIZ6EPDK3QTOQRIQAH

not attested not anchored not stored refs pending

Grundy Numbers of Impartial Chocolate Bar Games

Ryohei Miyadera, Shunsuke Nakamura, Yushi Nakaya

arxiv:1711.05035 v1 · 2017-11-14 · 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{4OELWHL5JIZ6EPDK3QTOQRIQAH}

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	2026-05-18T00:30:35.099821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e388bb1d7d4a33e23c6adc26e8451001ee1e2de37ef75f9aa369579205277b01

Aliases

arxiv: 1711.05035 · arxiv_version: 1711.05035v1 · doi: 10.48550/arxiv.1711.05035 · pith_short_12: 4OELWHL5JIZ6 · pith_short_16: 4OELWHL5JIZ6EPDK · pith_short_8: 4OELWHL5

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/4OELWHL5JIZ6EPDK3QTOQRIQAH \
  | 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: e388bb1d7d4a33e23c6adc26e8451001ee1e2de37ef75f9aa369579205277b01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fbf27285d5de9068ea1147b659b2fb6445205fce79e3095f746caa31d75640f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-14T10:04:24Z",
    "title_canon_sha256": "21bc026dd11ad79fff7170ee0ae5f5633b2c2dd79cf70ef9bcc069ff8aaea3e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05035",
    "kind": "arxiv",
    "version": 1
  }
}