Pith Number

pith:U77O3IFB

pith:2012:U77O3IFBPWX27YU2XNTG2ICU6I

not attested not anchored not stored refs pending

The Asymptotic Distribution of Randomly Weighted Sums and Self-normalized Sums

David M. Mason, Peter Kevei

arxiv:1206.4085 v1 · 2012-06-18 · 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{U77O3IFBPWX27YU2XNTG2ICU6I}

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	2026-05-18T03:53:16.784246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7feeda0a17dafafe29abb666d2054f20cbfbc0b4cba838ba4636cbec761a31a

Aliases

arxiv: 1206.4085 · arxiv_version: 1206.4085v1 · doi: 10.48550/arxiv.1206.4085 · pith_short_12: U77O3IFBPWX2 · pith_short_16: U77O3IFBPWX27YU2 · pith_short_8: U77O3IFB

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/U77O3IFBPWX27YU2XNTG2ICU6I \
  | 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: a7feeda0a17dafafe29abb666d2054f20cbfbc0b4cba838ba4636cbec761a31a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a2db9294f52119c73c2271309bb18c8323b088d2d72bf78cca18651dceadfb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-06-18T21:51:48Z",
    "title_canon_sha256": "de2ed126f9e9db5d9f56441be5e884b7882f4c8dc089acec31a383ea2c21078f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4085",
    "kind": "arxiv",
    "version": 1
  }
}