Pith Number

pith:VRGAD6AZ

pith:2015:VRGAD6AZXIEMBUCM77NR2PZD7O

not attested not anchored not stored refs pending

Gaussian approximation of moments of sums of independent random variables

Marcin Lis

arxiv:1505.04450 v2 · 2015-05-17 · 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{VRGAD6AZXIEMBUCM77NR2PZD7O}

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	2026-05-18T02:05:23.288987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4c01f819ba08c0d04cffdb1d3f23fb8521b1412e7ba3e579288d88f365e762

Aliases

arxiv: 1505.04450 · arxiv_version: 1505.04450v2 · doi: 10.48550/arxiv.1505.04450 · pith_short_12: VRGAD6AZXIEM · pith_short_16: VRGAD6AZXIEMBUCM · pith_short_8: VRGAD6AZ

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/VRGAD6AZXIEMBUCM77NR2PZD7O \
  | 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: ac4c01f819ba08c0d04cffdb1d3f23fb8521b1412e7ba3e579288d88f365e762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29cc2109b0ef4a0006cb04adb655736b245951688e3aea3ba8f4bb2e33848cf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-17T20:18:43Z",
    "title_canon_sha256": "4b076bec41cbf519c4632d9d823dd47a7a4da2b682b926cf70fda548b752d35e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04450",
    "kind": "arxiv",
    "version": 2
  }
}