Pith Number

pith:OBDXQ4P7

pith:2011:OBDXQ4P7MRC3VUTZ4VM7DNLZW6

not attested not anchored not stored refs pending

On the number of empty boxes in the Bernoulli sieve II

Alexander Iksanov

arxiv:1110.3713 v2 · 2011-10-17 · 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{OBDXQ4P7MRC3VUTZ4VM7DNLZW6}

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	2026-05-18T03:57:38.769959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70477871ff6445bad279e559f1b579b7acd3b884f323dfbcca198d6331a90051

Aliases

arxiv: 1110.3713 · arxiv_version: 1110.3713v2 · doi: 10.48550/arxiv.1110.3713 · pith_short_12: OBDXQ4P7MRC3 · pith_short_16: OBDXQ4P7MRC3VUTZ · pith_short_8: OBDXQ4P7

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/OBDXQ4P7MRC3VUTZ4VM7DNLZW6 \
  | 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: 70477871ff6445bad279e559f1b579b7acd3b884f323dfbcca198d6331a90051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8899ac63f1b21d83b47eea1e7abefe53bdd1194f13888c15bb2efdb5d62aa602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-17T16:03:01Z",
    "title_canon_sha256": "92f04d5c9783da661a0ec61e4171188a09dc26f3cb3c2150bd09ca29d4657692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3713",
    "kind": "arxiv",
    "version": 2
  }
}