Pith Number

pith:Q5YOCDZZ

pith:2011:Q5YOCDZZKUWV4RBME753O3X4BB

not attested not anchored not stored refs pending

Analysis of casino shelf shuffling machines

Jason Fulman, Persi Diaconis, Susan Holmes

arxiv:1107.2961 v2 · 2011-07-14 · 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{Q5YOCDZZKUWV4RBME753O3X4BB}

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	2026-05-18T03:17:47.104093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8770e10f39552d5e442c27fbb76efc08476dcd18f0336304baa4ee4281141a28

Aliases

arxiv: 1107.2961 · arxiv_version: 1107.2961v2 · doi: 10.48550/arxiv.1107.2961 · pith_short_12: Q5YOCDZZKUWV · pith_short_16: Q5YOCDZZKUWV4RBM · pith_short_8: Q5YOCDZZ

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/Q5YOCDZZKUWV4RBME753O3X4BB \
  | 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: 8770e10f39552d5e442c27fbb76efc08476dcd18f0336304baa4ee4281141a28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2695b9bfcee05b99ab110f585d6cfdbf95dbe2dc36b49759d9ad4397edd30ccc",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-14T22:01:54Z",
    "title_canon_sha256": "95e0752bfab1b4f75157dd6505fdeac8f9a7066ee14487689b900f06c77e765d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2961",
    "kind": "arxiv",
    "version": 2
  }
}