Pith Number

pith:CEPOE362

pith:2009:CEPOE362DCXPJB57UV667H5JKN

not attested not anchored not stored refs pending

A rule of thumb for riffle shuffling

K. Soundararajan, Persi Diaconis, Sami Assaf

arxiv:0908.3462 v1 · 2009-08-24 · 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{CEPOE362DCXPJB57UV667H5JKN}

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	2026-07-05T00:45:31.330207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

111ee26fda18aef487bfa57def9fa95374a3f35458dafd2c693317a241f191c4

Aliases

arxiv: 0908.3462 · arxiv_version: 0908.3462v1 · doi: 10.48550/arxiv.0908.3462 · pith_short_12: CEPOE362DCXP · pith_short_16: CEPOE362DCXPJB57 · pith_short_8: CEPOE362

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/CEPOE362DCXPJB57UV667H5JKN \
  | 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: 111ee26fda18aef487bfa57def9fa95374a3f35458dafd2c693317a241f191c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "985f8c140c5a47701c43fb2828749bade2e4826b249598f14fa14d6b2f76cc75",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-24T16:25:44Z",
    "title_canon_sha256": "741bd4579d54595396e313d0126dfef859e9bce0fea830f364e5fe8f48e1cfe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3462",
    "kind": "arxiv",
    "version": 1
  }
}