Pith Number

pith:6OL32AAF

pith:2011:6OL32AAFNCWKJDZLI4MM5KZBGI

not attested not anchored not stored refs pending

A generalized Isserlis theorem for location mixtures of Gaussian random vectors

C. Vignat

arxiv:1107.2309 v1 · 2011-07-12 · 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{6OL32AAFNCWKJDZLI4MM5KZBGI}

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	2026-05-18T04:18:24.817577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f397bd000568aca48f2b4718ceab213224e79a21bb9fd4836fa61bf321e20655

Aliases

arxiv: 1107.2309 · arxiv_version: 1107.2309v1 · doi: 10.48550/arxiv.1107.2309 · pith_short_12: 6OL32AAFNCWK · pith_short_16: 6OL32AAFNCWKJDZL · pith_short_8: 6OL32AAF

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/6OL32AAFNCWKJDZLI4MM5KZBGI \
  | 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: f397bd000568aca48f2b4718ceab213224e79a21bb9fd4836fa61bf321e20655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ea2f104cebbf4329ed46712ca4b66e42ccac0e63c30af281cafec4ef4e444b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-12T14:49:06Z",
    "title_canon_sha256": "8ce1f92708cfde37c83b0877881ecca71ca75bf2711edd361c382bd98db7e1b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2309",
    "kind": "arxiv",
    "version": 1
  }
}