Pith Number

pith:B4BZG4BE

pith:2011:B4BZG4BEZFATGA35GHIW5UFDTH

not attested not anchored not stored refs pending

Benford's Law and Continuous Dependent Random Variables

Alec Greaves-Tunnell, Frederick W. Strauch, Ryan Ronan, Steven J. Miller, Thealexa Becker

arxiv:1111.0568 v2 · 2011-11-02 · 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{B4BZG4BEZFATGA35GHIW5UFDTH}

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	2026-05-18T03:12:46.663281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f03937024c94133037d31d16ed0a399fc47f24672bbc152e5e3dc2e5a2f53d4

Aliases

arxiv: 1111.0568 · arxiv_version: 1111.0568v2 · doi: 10.48550/arxiv.1111.0568 · pith_short_12: B4BZG4BEZFAT · pith_short_16: B4BZG4BEZFATGA35 · pith_short_8: B4BZG4BE

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/B4BZG4BEZFATGA35GHIW5UFDTH \
  | 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: 0f03937024c94133037d31d16ed0a399fc47f24672bbc152e5e3dc2e5a2f53d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e47d7bf3f5d68d1dd75094f70e9a999703bb5aef2421ac5538efdccc00b5c13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-02T17:27:23Z",
    "title_canon_sha256": "eaa304def2506d8d2d7a272f5fe877a7272753a7ce3f2f705b7572a9c6f74133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0568",
    "kind": "arxiv",
    "version": 2
  }
}