Pith Number

pith:VRSRXM4K

pith:2011:VRSRXM4KPMKGKMMRIU2PLE4APS

not attested not anchored not stored refs pending

On the Rate of Convergence to the Marchenko--Pastur Distribution

A. Tikhomirov, F. G\"otze

arxiv:1110.1284 v3 · 2011-10-06 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VRSRXM4KPMKGKMMRIU2PLE4APS}

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.

Cited by

1 paper in Pith

Spectral Graph Matching and Regularized Quadratic Relaxations I: The Gaussian Model

Receipt and verification

First computed	2026-05-18T02:30:55.293332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac651bb38a7b146531914534f593807cb24b72d40ea92484b4851487984006b0

Aliases

arxiv: 1110.1284 · arxiv_version: 1110.1284v3 · doi: 10.48550/arxiv.1110.1284 · pith_short_12: VRSRXM4KPMKG · pith_short_16: VRSRXM4KPMKGKMMR · pith_short_8: VRSRXM4K

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/VRSRXM4KPMKGKMMRIU2PLE4APS \
  | 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: ac651bb38a7b146531914534f593807cb24b72d40ea92484b4851487984006b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af1b1ff38e57e1b422c4c312eca794715c7e9b37f0a40dd8b0533820fddba615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-06T14:52:33Z",
    "title_canon_sha256": "4b9b69d621c541645f0c66d53d70beab4a3112ed662a4ff62f97e670b24ac536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1284",
    "kind": "arxiv",
    "version": 3
  }
}