Pith Number

pith:GQH3J745

pith:2013:GQH3J745H5MTFX6VWEH57HDZYN

not attested not anchored not stored refs pending

Comparison and anti-concentration bounds for maxima of Gaussian random vectors

Denis Chetverikov, Kengo Kato, Victor Chernozhukov

arxiv:1301.4807 v4 · 2013-01-21 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQH3J745H5MTFX6VWEH57HDZYN}

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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	2026-05-18T02:54:21.619241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

340fb4ff9d3f5932dfd5b10fdf9c79c37c79c0de29a1ad1fe63564cf65a6672d

Aliases

arxiv: 1301.4807 · arxiv_version: 1301.4807v4 · doi: 10.48550/arxiv.1301.4807 · pith_short_12: GQH3J745H5MT · pith_short_16: GQH3J745H5MTFX6V · pith_short_8: GQH3J745

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/GQH3J745H5MTFX6VWEH57HDZYN \
  | 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: 340fb4ff9d3f5932dfd5b10fdf9c79c37c79c0de29a1ad1fe63564cf65a6672d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8679187fad84c39286a5ffb39e0d506a693df6899adba66816488ed9c7338a47",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-21T10:35:34Z",
    "title_canon_sha256": "bfa7c015d4a38c4961ed8d0b6b629d950835f1747149dc1c39e8c57f6fcad2b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4807",
    "kind": "arxiv",
    "version": 4
  }
}