Pith Number

pith:B6ZHYCT2

pith:2009:B6ZHYCT2X7TI2TSFZKSDF3A7BM

not attested not anchored not stored refs pending

Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave Ensembles

Alain Pajor, Alexander E. Litvak, Nicole Tomczak-Jaegermann, Rados{\l}aw Adamczak

arxiv:0903.2323 v2 · 2009-03-13 · math.PR · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6ZHYCT2X7TI2TSFZKSDF3A7BM}

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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	2026-05-18T02:14:28.612009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb27c0a7abfe68d4e45caa432ec1f0b0302f8fb1cdfd0b3ca3fd23587b23c51

Aliases

arxiv: 0903.2323 · arxiv_version: 0903.2323v2 · doi: 10.48550/arxiv.0903.2323 · pith_short_12: B6ZHYCT2X7TI · pith_short_16: B6ZHYCT2X7TI2TSF · pith_short_8: B6ZHYCT2

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/B6ZHYCT2X7TI2TSFZKSDF3A7BM \
  | 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: 0fb27c0a7abfe68d4e45caa432ec1f0b0302f8fb1cdfd0b3ca3fd23587b23c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671cdb7820047de70d4c97f39cca8786a0b0dcbb7d20983b684bde98c52d4ceb",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-03-13T07:09:30Z",
    "title_canon_sha256": "ec6c65015ec8aaa5fe4f81cc59089b3c5c934a1d8b5b972bcd786ba9ad48475e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2323",
    "kind": "arxiv",
    "version": 2
  }
}