Pith Number

pith:7F5LBMF3

pith:2016:7F5LBMF3FUKYAZUJ57TTRJBZOX

not attested not anchored not stored refs pending

A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve

Alexander Iksanov, Fethi Bouzeffour, Wissem Jedidi

arxiv:1609.09238 v1 · 2016-09-29 · 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{7F5LBMF3FUKYAZUJ57TTRJBZOX}

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	2026-05-18T01:03:38.404919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97ab0b0bb2d15806689efe738a43975eb91c929c101a85dd17a9989a00b05c9

Aliases

arxiv: 1609.09238 · arxiv_version: 1609.09238v1 · doi: 10.48550/arxiv.1609.09238 · pith_short_12: 7F5LBMF3FUKY · pith_short_16: 7F5LBMF3FUKYAZUJ · pith_short_8: 7F5LBMF3

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/7F5LBMF3FUKYAZUJ57TTRJBZOX \
  | 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: f97ab0b0bb2d15806689efe738a43975eb91c929c101a85dd17a9989a00b05c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "718e5bdfad699e83ca895c8e0958b1e1f58ee2cd7f9a17d53510669b119d910a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-09-29T07:45:05Z",
    "title_canon_sha256": "bb36a6f8e043d0bd1b554b19810890c7af1c2ba5502fae0ffe9e15fce071cc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09238",
    "kind": "arxiv",
    "version": 1
  }
}