Pith Number

pith:3ZSQCCRS

pith:2013:3ZSQCCRS2ZJBX2SMFWHZXBMWWH

not attested not anchored not stored refs pending

Convergence in law implies convergence in total variation for polynomials in independent Gaussian, Gamma or Beta random variables

Guillaume Poly (FSTC), Ivan Nourdin (IECL)

arxiv:1305.2766 v1 · 2013-05-13 · 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{3ZSQCCRS2ZJBX2SMFWHZXBMWWH}

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	2026-05-18T03:25:47.416569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de65010a32d6521bea4c2d8f9b8596b1ea7a8c8c49bcfd4f7699fda3110d04e3

Aliases

arxiv: 1305.2766 · arxiv_version: 1305.2766v1 · doi: 10.48550/arxiv.1305.2766 · pith_short_12: 3ZSQCCRS2ZJB · pith_short_16: 3ZSQCCRS2ZJBX2SM · pith_short_8: 3ZSQCCRS

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/3ZSQCCRS2ZJBX2SMFWHZXBMWWH \
  | 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: de65010a32d6521bea4c2d8f9b8596b1ea7a8c8c49bcfd4f7699fda3110d04e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b403cfe168b2e870e7330e550661828c8d4a0886146f102e8b7022e51f89a03f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-13T13:09:06Z",
    "title_canon_sha256": "cce9ec0a2f4419d5aca840c228d373d11277ada6162eccb0154aee41538b7a75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2766",
    "kind": "arxiv",
    "version": 1
  }
}