Pith Number

pith:ZXP7ECJL

pith:2010:ZXP7ECJLOULJ5TZNXDTPM32APM

not attested not anchored not stored refs pending

A Random Matrix--Theoretic Approach to Handling Singular Covariance Estimates

Gabriel H. Tucci, Steven H. Simon, Thomas L. Marzetta

arxiv:1010.0601 v1 · 2010-10-04 · math.PR · cs.IT · math.IT · math.ST · physics.data-an · 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{ZXP7ECJLOULJ5TZNXDTPM32APM}

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	2026-05-18T04:39:51.716654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cddff2092b75169ecf2db8e6f66f407b115a7ed0bd24c63f5f66910832ca696d

Aliases

arxiv: 1010.0601 · arxiv_version: 1010.0601v1 · doi: 10.48550/arxiv.1010.0601 · pith_short_12: ZXP7ECJLOULJ · pith_short_16: ZXP7ECJLOULJ5TZN · pith_short_8: ZXP7ECJL

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/ZXP7ECJLOULJ5TZNXDTPM32APM \
  | 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: cddff2092b75169ecf2db8e6f66f407b115a7ed0bd24c63f5f66910832ca696d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d1b4073d6317ee244d1dd5ff2e94e7cde05089c59e84675802fcb494a20c47",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-04T14:25:59Z",
    "title_canon_sha256": "6d783facf39920fe2a3b1d28f418ca9d23957aaf79135b002c98eabcef903e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0601",
    "kind": "arxiv",
    "version": 1
  }
}