Pith Number

pith:OPYT5US2

pith:2017:OPYT5US2DBP6HG5LSEJC6L7UZ5

not attested not anchored not stored refs pending

Mathematical aspect of the combinatorial game "Mahjong"

Chi-Kwong Li, Sharon H. Li, Yuan Cheng

arxiv:1707.07345 v2 · 2017-07-23 · math.HO · 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{OPYT5US2DBP6HG5LSEJC6L7UZ5}

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	2026-05-17T23:55:43.257434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f13ed25a185fe39bab91122f2ff4cf5af64923a07c3ef12a9b059ba6648ca5

Aliases

arxiv: 1707.07345 · arxiv_version: 1707.07345v2 · doi: 10.48550/arxiv.1707.07345 · pith_short_12: OPYT5US2DBP6 · pith_short_16: OPYT5US2DBP6HG5L · pith_short_8: OPYT5US2

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/OPYT5US2DBP6HG5LSEJC6L7UZ5 \
  | 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: 73f13ed25a185fe39bab91122f2ff4cf5af64923a07c3ef12a9b059ba6648ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0236cdc495a377add9b3c5d3c4f076685ff07988c8568b54c4db9a12c0ebd07",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2017-07-23T20:55:30Z",
    "title_canon_sha256": "0442181fae71f8d84adaa59f911d45cb3b299583ff08bb8dcaee598b138b94d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07345",
    "kind": "arxiv",
    "version": 2
  }
}