Pith Number

pith:MUACMXGD

pith:2018:MUACMXGD2TUNH7UEO7SXYB5VQP

not attested not anchored not stored refs pending

High-dimensional covariance matrices in elliptical distributions with application to spherical test

Jiang Hu, Wang Zhou, Weiming Li, Zhi Liu

arxiv:1803.07793 v1 · 2018-03-21 · 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{MUACMXGD2TUNH7UEO7SXYB5VQP}

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	2026-05-18T00:20:28.922977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6500265cc3d4e8d3fe8477e57c07b583ebe8a60153d2f2e8cb846ba7697fc19d

Aliases

arxiv: 1803.07793 · arxiv_version: 1803.07793v1 · doi: 10.48550/arxiv.1803.07793 · pith_short_12: MUACMXGD2TUN · pith_short_16: MUACMXGD2TUNH7UE · pith_short_8: MUACMXGD

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/MUACMXGD2TUNH7UEO7SXYB5VQP \
  | 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: 6500265cc3d4e8d3fe8477e57c07b583ebe8a60153d2f2e8cb846ba7697fc19d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec2dc78b4626c49888b89496e6071aa8c31475ba94b80c5a6eaadf3b3923125",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-03-21T08:25:02Z",
    "title_canon_sha256": "e03947f0ec50556caa60b5da824374ddab9e3e2875bb265082c7564beeb9c443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07793",
    "kind": "arxiv",
    "version": 1
  }
}