Pith Number

pith:MCG5YOYJ

pith:2012:MCG5YOYJSAZ4EJXK5OVR3RKXI4

not attested not anchored not stored refs pending

Pick Up Sticks

Cun-Hui Zhang, Doron Zeilberger, Larry Shepp

arxiv:1210.5642 v1 · 2012-10-20 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCG5YOYJSAZ4EJXK5OVR3RKXI4}

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	2026-05-18T03:42:43.483006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608ddc3b099033c226eaebab1dc5574720ecf11892a5e1081a9cce3743499e40

Aliases

arxiv: 1210.5642 · arxiv_version: 1210.5642v1 · doi: 10.48550/arxiv.1210.5642 · pith_short_12: MCG5YOYJSAZ4 · pith_short_16: MCG5YOYJSAZ4EJXK · pith_short_8: MCG5YOYJ

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/MCG5YOYJSAZ4EJXK5OVR3RKXI4 \
  | 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: 608ddc3b099033c226eaebab1dc5574720ecf11892a5e1081a9cce3743499e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b61af6682e9083d8245d1f973fc9b91df238a9a97ec9b33fbba280c49a42e5b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-20T17:01:45Z",
    "title_canon_sha256": "4674096c48e1f9befa88cacaf35cbe17738fc94d9f7ecfcbfd0b8b9c30ea535b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5642",
    "kind": "arxiv",
    "version": 1
  }
}