Pith Number

pith:IKLDK5JI

pith:2016:IKLDK5JIL4X4ZN2AQ7HMVBFC47

not attested not anchored not stored refs pending

Outliers, the Law of Large Numbers, Index of Stability and Heavy Tails

Andrea Karlova, Ashot V. Kakosyan, Lev B. Klebanov

arxiv:1612.09265 v1 · 2016-12-29 · math.PR · 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{IKLDK5JIL4X4ZN2AQ7HMVBFC47}

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	2026-05-18T00:53:46.130671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42963575285f2fccb74087ceca84a2e7f5fa4bc55c1f911f6a0d8660af5f7a25

Aliases

arxiv: 1612.09265 · arxiv_version: 1612.09265v1 · doi: 10.48550/arxiv.1612.09265 · pith_short_12: IKLDK5JIL4X4 · pith_short_16: IKLDK5JIL4X4ZN2A · pith_short_8: IKLDK5JI

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/IKLDK5JIL4X4ZN2AQ7HMVBFC47 \
  | 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: 42963575285f2fccb74087ceca84a2e7f5fa4bc55c1f911f6a0d8660af5f7a25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aba623d86220651e6da7ddb67ea750180260a705b3a5ecdc5ef082337280022f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-29T19:46:57Z",
    "title_canon_sha256": "2993e9152bce31cdff332aabece607af4fc1c060f1d75a91c3f7bc65b243edac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09265",
    "kind": "arxiv",
    "version": 1
  }
}