Pith Number

pith:NMVZQQ2N

pith:2011:NMVZQQ2NXO2VV3PDHOLEU6WZRX

not attested not anchored not stored refs pending

Universality of covariance matrices

Jun Yin, Natesh S. Pillai

arxiv:1110.2501 v7 · 2011-10-11 · math.PR · 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{NMVZQQ2NXO2VV3PDHOLEU6WZRX}

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	2026-05-18T02:21:35.371871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2b98434dbbb55aede33b964a7ad98dc0246e716feb28741bdd26bb90265d7c

Aliases

arxiv: 1110.2501 · arxiv_version: 1110.2501v7 · doi: 10.48550/arxiv.1110.2501 · pith_short_12: NMVZQQ2NXO2V · pith_short_16: NMVZQQ2NXO2VV3PD · pith_short_8: NMVZQQ2N

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/NMVZQQ2NXO2VV3PDHOLEU6WZRX \
  | 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: 6b2b98434dbbb55aede33b964a7ad98dc0246e716feb28741bdd26bb90265d7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f489299b705ffd3c0daf29981eee3b14d76add7f752a803b497e4ebf5ebbc4f",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-11T20:23:41Z",
    "title_canon_sha256": "083b03df33f13d68f49787f616244e0f3a1133efe9e621ce5c53766f890ea2c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2501",
    "kind": "arxiv",
    "version": 7
  }
}