Pith Number

pith:TICPCR2Q

pith:2015:TICPCR2QNOFNZ2SNIVJD4DWAOR

not attested not anchored not stored refs pending

Products of random variables and the first digit phenomenon

Bruno Masse, Dominique Schneider, Nicolas Chenavier

arxiv:1512.06049 v1 · 2015-12-18 · 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{TICPCR2QNOFNZ2SNIVJD4DWAOR}

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	2026-05-18T01:24:05.549048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a04f147506b8adcea4d45523e0ec07451a77097eac3c9db15031e8f1be4011f

Aliases

arxiv: 1512.06049 · arxiv_version: 1512.06049v1 · doi: 10.48550/arxiv.1512.06049 · pith_short_12: TICPCR2QNOFN · pith_short_16: TICPCR2QNOFNZ2SN · pith_short_8: TICPCR2Q

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/TICPCR2QNOFNZ2SNIVJD4DWAOR \
  | 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: 9a04f147506b8adcea4d45523e0ec07451a77097eac3c9db15031e8f1be4011f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22ad3667921272c2c9d3aeedf1cbc3bf0f3d7c2553af88de61518bc42f0438db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-18T17:32:48Z",
    "title_canon_sha256": "83c49fed0b84aaafd4fb6ffffdaef4879b8f5ea52a06c18eb799dcc7dc189edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06049",
    "kind": "arxiv",
    "version": 1
  }
}