Pith Number

pith:IOWX2XYI

pith:2009:IOWX2XYIY3FS6O7ACVKZ7ZFHZR

not attested not anchored not stored refs pending

An Experimental Mathematics Perspective on the Old, and still Open, Question of When To Stop?

Doron Zeilberger, Luis A. Medina

arxiv:0907.0032 v2 · 2009-06-30 · math.PR · 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{IOWX2XYIY3FS6O7ACVKZ7ZFHZR}

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	2026-05-18T04:41:05.996364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ad7d5f08c6cb2f3be015559fe4a7cc512f43991d55d1ea58657fb4fa53b6b5

Aliases

arxiv: 0907.0032 · arxiv_version: 0907.0032v2 · doi: 10.48550/arxiv.0907.0032 · pith_short_12: IOWX2XYIY3FS · pith_short_16: IOWX2XYIY3FS6O7A · pith_short_8: IOWX2XYI

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/IOWX2XYIY3FS6O7ACVKZ7ZFHZR \
  | 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: 43ad7d5f08c6cb2f3be015559fe4a7cc512f43991d55d1ea58657fb4fa53b6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d6b44d6803f46d667a8e08710aa9d77ea94f7cbb4e5ccf8fe298939aa63ac6",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-06-30T21:51:15Z",
    "title_canon_sha256": "b2d4b92e8f951b64af16896d1028b5277ec8fe8e883ebc6fc8da3057328b7f1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0032",
    "kind": "arxiv",
    "version": 2
  }
}