Pith Number

pith:EEJSPLQS

pith:2010:EEJSPLQSWEGSV2YCBDBMR6ZLR5

not attested not anchored not stored refs pending

On the Asymptotic Spectrum of Products of Independent Random Matrices

Alexander Tikhomirov, Friedrich G\"otze

arxiv:1012.2710 v3 · 2010-12-13 · 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{EEJSPLQSWEGSV2YCBDBMR6ZLR5}

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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.

Cited by

2 papers in Pith

Precise convergence rate of spectral radius of product of complex Ginibre

From Gaussian to Gumbel: extreme eigenvalues of complex Ginibre products with exact rates

Receipt and verification

First computed	2026-05-18T04:23:33.113013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211327ae12b10d2aeb0208c2c8fb2b8f788a55d1331f11789b527408c5c9222a

Aliases

arxiv: 1012.2710 · arxiv_version: 1012.2710v3 · doi: 10.48550/arxiv.1012.2710 · pith_short_12: EEJSPLQSWEGS · pith_short_16: EEJSPLQSWEGSV2YC · pith_short_8: EEJSPLQS

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/EEJSPLQSWEGSV2YCBDBMR6ZLR5 \
  | 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: 211327ae12b10d2aeb0208c2c8fb2b8f788a55d1331f11789b527408c5c9222a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab658a0597ecdb97f16eac541bb4657b5e15bd66658b7fde1bea9dce4fed11b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-13T12:32:42Z",
    "title_canon_sha256": "75887265a29f955eec474a0981626deffeb7c2c7e86b8a89605185904e4d9519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2710",
    "kind": "arxiv",
    "version": 3
  }
}