Pith Number

pith:FOA55U65

pith:2013:FOA55U65F4AFTMIUP6FXURF7PJ

not attested not anchored not stored refs pending

On a symbolic representation of non-central Wishart random matrices with applications

Elvira Di Nardo

arxiv:1312.4395 v2 · 2013-12-16 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOA55U65F4AFTMIUP6FXURF7PJ}

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	2026-05-18T02:46:16.340955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b81ded3dd2f0059b1147f8b7a44bf7a661e9e74be1fd4be4a59af35b4de7982

Aliases

arxiv: 1312.4395 · arxiv_version: 1312.4395v2 · doi: 10.48550/arxiv.1312.4395 · pith_short_12: FOA55U65F4AF · pith_short_16: FOA55U65F4AFTMIU · pith_short_8: FOA55U65

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/FOA55U65F4AFTMIUP6FXURF7PJ \
  | 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: 2b81ded3dd2f0059b1147f8b7a44bf7a661e9e74be1fd4be4a59af35b4de7982

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0cb1335425d50a7361d588e70ac91bd0a3a325355406d9816237c21ac4ebcbf",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-16T15:13:52Z",
    "title_canon_sha256": "e9c26d6177c09fc8c21fbc3aa0fd0fed80bc96becd5b81347750144a9b7433ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4395",
    "kind": "arxiv",
    "version": 2
  }
}