Pith Number

pith:3DFPQMMD

pith:2013:3DFPQMMDZCPEF5A2OBEUGLVPFR

not attested not anchored not stored refs pending

On Stein's method for products of normal random variables and zero bias couplings

Robert E. Gaunt

arxiv:1309.4344 v3 · 2013-09-17 · 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{3DFPQMMDZCPEF5A2OBEUGLVPFR}

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	2026-05-18T00:43:36.355872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8caf83183c89e42f41a7049432eaf2c679841832518d18d272bab3e73df66c0

Aliases

arxiv: 1309.4344 · arxiv_version: 1309.4344v3 · doi: 10.48550/arxiv.1309.4344 · pith_short_12: 3DFPQMMDZCPE · pith_short_16: 3DFPQMMDZCPEF5A2 · pith_short_8: 3DFPQMMD

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/3DFPQMMDZCPEF5A2OBEUGLVPFR \
  | 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: d8caf83183c89e42f41a7049432eaf2c679841832518d18d272bab3e73df66c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bbd5c1ee8fccc524fd94d03fef03b158729cbbddfbea21df04245879043f732",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-17T15:13:41Z",
    "title_canon_sha256": "42aa8c30fec90f3683479cdfab57f6cc162352dba5c62b052522480c224857af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4344",
    "kind": "arxiv",
    "version": 3
  }
}