Pith Number

pith:FGJ4DVEF

pith:2017:FGJ4DVEFBSNOE4F62R7PQPPVTI

not attested not anchored not stored refs pending

Impartial Triangular Chocolate Bar Games

Masanori Fukui, Ryohei Miyadera, Shunsuke Nakamura

arxiv:1711.04954 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{FGJ4DVEFBSNOE4F62R7PQPPVTI}

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	2026-05-18T00:30:35.334300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2993c1d4850c9ae270bed47ef83df59a2d65b55bc77e7bcbb60660fb5614dcbc

Aliases

arxiv: 1711.04954 · arxiv_version: 1711.04954v1 · doi: 10.48550/arxiv.1711.04954 · pith_short_12: FGJ4DVEFBSNO · pith_short_16: FGJ4DVEFBSNOE4F6 · pith_short_8: FGJ4DVEF

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/FGJ4DVEFBSNOE4F62R7PQPPVTI \
  | 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: 2993c1d4850c9ae270bed47ef83df59a2d65b55bc77e7bcbb60660fb5614dcbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "826c0538dec46dcd2662cfa9789b593fa60773a9539100fa91fc7d618c76d948",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-11-14T05:40:55Z",
    "title_canon_sha256": "d3b85a5700d3694a78dfa6b3e4219e078e77ecdf3dfe72e212b02d520d1a4d22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04954",
    "kind": "arxiv",
    "version": 1
  }
}