Pith Number

pith:H3I3EPGW

pith:2013:H3I3EPGWZJ6KEPAQJUC5IU7MTQ

not attested not anchored not stored refs pending

The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Independent Matrices of Rank One

A. Lytova, A. Pajor, L. Pastur, O. Gu\'edon

arxiv:1310.2506 v2 · 2013-10-09 · 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{H3I3EPGWZJ6KEPAQJUC5IU7MTQ}

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	2026-05-18T03:05:57.453423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ed1b23cd6ca7ca23c104d05d453ec9c07e4f45986a614951c95fb383df3b8a7

Aliases

arxiv: 1310.2506 · arxiv_version: 1310.2506v2 · doi: 10.48550/arxiv.1310.2506 · pith_short_12: H3I3EPGWZJ6K · pith_short_16: H3I3EPGWZJ6KEPAQ · pith_short_8: H3I3EPGW

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/H3I3EPGWZJ6KEPAQJUC5IU7MTQ \
  | 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: 3ed1b23cd6ca7ca23c104d05d453ec9c07e4f45986a614951c95fb383df3b8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4661c09986bfa21d3fd6f12b0c9b720dc7cae41838e0a653b20b10a6b8679855",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-09T14:46:59Z",
    "title_canon_sha256": "d71b02f9db8447abd2d87152d065cfc808db4e2a8525806d791bba34e79505a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2506",
    "kind": "arxiv",
    "version": 2
  }
}