Pith Number

pith:NDZVNIDF

pith:2018:NDZVNIDFJGVTNPWEQVY6YTCDQY

not attested not anchored not stored refs pending

How Many Rounds Should You Expect in Urn Solitaire?

Doron Zeilberger, Shalosh B. Ekhad

arxiv:1801.01570 v1 · 2018-01-04 · 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{NDZVNIDFJGVTNPWEQVY6YTCDQY}

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	2026-05-18T00:26:41.801837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68f356a06549ab36bec48571ec4c438620ae757047bbaddd0e2c9ffd74fdb129

Aliases

arxiv: 1801.01570 · arxiv_version: 1801.01570v1 · doi: 10.48550/arxiv.1801.01570 · pith_short_12: NDZVNIDFJGVT · pith_short_16: NDZVNIDFJGVTNPWE · pith_short_8: NDZVNIDF

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/NDZVNIDFJGVTNPWEQVY6YTCDQY \
  | 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: 68f356a06549ab36bec48571ec4c438620ae757047bbaddd0e2c9ffd74fdb129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1374f324644ec471e7089b1c6ce61f9b2252aa85d4d5dea146dfb7b2e8a010f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-04T22:48:26Z",
    "title_canon_sha256": "70642c3222fcbb9a7b64e23232c65a3c48caca37561fa55969bdd68a0b13caed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01570",
    "kind": "arxiv",
    "version": 1
  }
}