Pith Number

pith:2LLKBVIH

pith:2018:2LLKBVIHWKVOQL3ZBQBWHFZQA3

not attested not anchored not stored refs pending

On consistent estimation of the missing mass

Fadhel Ayed, Federico Camerlenghi, Marco Battiston, Stefano Favaro

arxiv:1806.09712 v1 · 2018-06-25 · math.ST · stat.ML · 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{2LLKBVIHWKVOQL3ZBQBWHFZQA3}

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	2026-05-18T00:12:23.662435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d6a0d507b2aae82f790c0363973006e8fd766f4a4621fb8c382dd124759fbe

Aliases

arxiv: 1806.09712 · arxiv_version: 1806.09712v1 · doi: 10.48550/arxiv.1806.09712 · pith_short_12: 2LLKBVIHWKVO · pith_short_16: 2LLKBVIHWKVOQL3Z · pith_short_8: 2LLKBVIH

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/2LLKBVIHWKVOQL3ZBQBWHFZQA3 \
  | 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: d2d6a0d507b2aae82f790c0363973006e8fd766f4a4621fb8c382dd124759fbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5cb021ddf6d1bacabdffd490405677d00fc00db3f52c8aa3af8bd5cf89fe441",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-06-25T22:02:35Z",
    "title_canon_sha256": "4d5114d1060f0fe9510812d46f18937002b586d90ca4076f3f9ddc97b9709ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.09712",
    "kind": "arxiv",
    "version": 1
  }
}