Pith Number

pith:L6ESFVLL

pith:2011:L6ESFVLLO4WGADSU6PRACQPIVE

not attested not anchored not stored refs pending

Fluctuations of an improved population eigenvalue estimator in sample covariance matrix models

Jamal Najim (LTCI), Jianfeng Yao (LTCI), Merouane Debbah, Romain Couillet

arxiv:1108.5266 v1 · 2011-08-26 · math.PR · math.ST · stat.TH

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L6ESFVLLO4WGADSU6PRACQPIVE}

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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	2026-05-18T04:14:28.688786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8922d56b772c600e54f3e20141e8a9398fd7c19988147b5cf74bc9c396e832

Aliases

arxiv: 1108.5266 · arxiv_version: 1108.5266v1 · doi: 10.48550/arxiv.1108.5266 · pith_short_12: L6ESFVLLO4WG · pith_short_16: L6ESFVLLO4WGADSU · pith_short_8: L6ESFVLL

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/L6ESFVLLO4WGADSU6PRACQPIVE \
  | 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: 5f8922d56b772c600e54f3e20141e8a9398fd7c19988147b5cf74bc9c396e832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5776e5e8a63c385e2e32977dc000b5540f008a86d552349cef7886e5bb3af8c0",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-26T09:18:17Z",
    "title_canon_sha256": "e2e11e852a8517fee4eb6c456f297a3a35759b0ebef76b9989004b19b4260d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5266",
    "kind": "arxiv",
    "version": 1
  }
}