Pith Number

pith:GPGPKKIS

pith:2010:GPGPKKISPI6GGLHZF6MIHUXAZJ

not attested not anchored not stored refs pending

Challenging the empirical mean and empirical variance: a deviation study

Olivier Catoni

arxiv:1009.2048 v2 · 2010-09-10 · math.ST · math.PR · 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{GPGPKKISPI6GGLHZF6MIHUXAZJ}

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	2026-05-18T04:15:36.868952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ccf529127a3c632cf92f9883d2e0ca671874f4f15d7c55f679ce2c7617c5c6

Aliases

arxiv: 1009.2048 · arxiv_version: 1009.2048v2 · doi: 10.48550/arxiv.1009.2048 · pith_short_12: GPGPKKISPI6G · pith_short_16: GPGPKKISPI6GGLHZ · pith_short_8: GPGPKKIS

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/GPGPKKISPI6GGLHZF6MIHUXAZJ \
  | 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: 33ccf529127a3c632cf92f9883d2e0ca671874f4f15d7c55f679ce2c7617c5c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a8a405fc512834e828bffc0837dac763a220336e976c56fd51cec96ec38ef12",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-09-10T16:38:58Z",
    "title_canon_sha256": "32e6b8b9e25a4234e9596fa71b35516694d9ec756b3a8a6c723c3a929a759752"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2048",
    "kind": "arxiv",
    "version": 2
  }
}