Pith Number

pith:WCTOQ5XB

pith:2014:WCTOQ5XBLKOUVANKO7TUMYOHQ4

not attested not anchored not stored refs pending

Concentration inequalities in the infinite urn scheme for occupancy counts and the missing mass, with applications

Anna Ben-Hamou, Mesrob I. Ohannessian, St\'ephane Boucheron

arxiv:1412.8652 v3 · 2014-12-30 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCTOQ5XBLKOUVANKO7TUMYOHQ4}

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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	2026-05-18T01:03:44.550967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a6e876e15a9d4a81aa77e74661c787341e9fbaf067b7e3b377bd0133797d60

Aliases

arxiv: 1412.8652 · arxiv_version: 1412.8652v3 · doi: 10.48550/arxiv.1412.8652 · pith_short_12: WCTOQ5XBLKOU · pith_short_16: WCTOQ5XBLKOUVANK · pith_short_8: WCTOQ5XB

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/WCTOQ5XBLKOUVANKO7TUMYOHQ4 \
  | 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: b0a6e876e15a9d4a81aa77e74661c787341e9fbaf067b7e3b377bd0133797d60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba420907234ccfb5be272a7a1738f4c72800c3ea3f5f7c09eac9e115c1225542",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2014-12-30T15:20:04Z",
    "title_canon_sha256": "56793f95db3ebd314f757fda996da088eaaf29ec3e1f51f72bb47099d77e180e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8652",
    "kind": "arxiv",
    "version": 3
  }
}