Pith Number

pith:5IO53ARY

pith:2011:5IO53ARYKVPV4U42WCJBA5QGXR

not attested not anchored not stored refs pending

Riffle shuffles with biased cuts

Kannan Soundararajan, Persi Diaconis, Sami Assaf

arxiv:1112.2650 v1 · 2011-12-12 · 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{5IO53ARYKVPV4U42WCJBA5QGXR}

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	2026-05-18T04:06:33.737741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea1ddd8238555f5e539ab092107606bc5ef52aaa6b93e5da230efc76de69fe64

Aliases

arxiv: 1112.2650 · arxiv_version: 1112.2650v1 · doi: 10.48550/arxiv.1112.2650 · pith_short_12: 5IO53ARYKVPV · pith_short_16: 5IO53ARYKVPV4U42 · pith_short_8: 5IO53ARY

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/5IO53ARYKVPV4U42WCJBA5QGXR \
  | 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: ea1ddd8238555f5e539ab092107606bc5ef52aaa6b93e5da230efc76de69fe64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "074795954bfcf2928a47cec3558e35739d0bbdc1991eab353612b240de16323c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-12T18:24:28Z",
    "title_canon_sha256": "f6a9863350237ba2385905d200cf04b8af673e0b57ee98fc35252ebbaed78558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2650",
    "kind": "arxiv",
    "version": 1
  }
}