Pith Number

pith:4SYTBGKN

pith:2011:4SYTBGKNP4WTFC57CYGTPHAWCC

not attested not anchored not stored refs pending

Multidimensional semicircular limits on the free Wigner chaos

Giovanni Peccati, Ivan Nourdin (IECN), Roland Speicher

arxiv:1107.5135 v1 · 2011-07-26 · math.PR · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SYTBGKNP4WTFC57CYGTPHAWCC}

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	2026-05-18T04:16:52.985474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4b130994d7f2d328bbf160d379c16108abc8c022e34add7fc27e2c8987b0ffc

Aliases

arxiv: 1107.5135 · arxiv_version: 1107.5135v1 · doi: 10.48550/arxiv.1107.5135 · pith_short_12: 4SYTBGKNP4WT · pith_short_16: 4SYTBGKNP4WTFC57 · pith_short_8: 4SYTBGKN

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/4SYTBGKNP4WTFC57CYGTPHAWCC \
  | 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: e4b130994d7f2d328bbf160d379c16108abc8c022e34add7fc27e2c8987b0ffc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54fe4ab2fb4a8f0c61b049e4ae6f92a668f27e980a517db7d9427ea80573b6c9",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-26T08:37:31Z",
    "title_canon_sha256": "5bd46d957811918a37a59b03131f3d64d5cab7acf8d6f77c8512c2543f7c37e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5135",
    "kind": "arxiv",
    "version": 1
  }
}