Pith Number

pith:D3Y557QU

pith:2011:D3Y557QUJUMQE4BRLQ7AP3LZVI

not attested not anchored not stored refs pending

Moments and $q$-commutators of noncommutative random vectors

Krzysztof Dro\.zd\.zewicz, Wojciech Matysiak

arxiv:1104.4395 v2 · 2011-04-22 · 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{D3Y557QUJUMQE4BRLQ7AP3LZVI}

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	2026-05-18T04:13:39.125402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef1defe144d190270315c3e07ed79aa158489eff6d6658fca13ee7bcfac0395

Aliases

arxiv: 1104.4395 · arxiv_version: 1104.4395v2 · doi: 10.48550/arxiv.1104.4395 · pith_short_12: D3Y557QUJUMQ · pith_short_16: D3Y557QUJUMQE4BR · pith_short_8: D3Y557QU

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/D3Y557QUJUMQE4BRLQ7AP3LZVI \
  | 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: 1ef1defe144d190270315c3e07ed79aa158489eff6d6658fca13ee7bcfac0395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fef5f2bf71eae5b05be07ba357d5ddb0c6806527ccbe055ed429cfa26c699e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-22T06:43:34Z",
    "title_canon_sha256": "c7f41544b1eda794a1475963c28f6989d9be72f85700d3eda429ebaf9b1e1ace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4395",
    "kind": "arxiv",
    "version": 2
  }
}