Pith Number

pith:SKX6ESBA

pith:2010:SKX6ESBA5FZJO4HGMLVP2WGROR

not attested not anchored not stored refs pending

An extremal problem with applications to testing multivariate independence

Alexander Nazarov, Natalia Stepanova

arxiv:1012.0837 v1 · 2010-12-03 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKX6ESBA5FZJO4HGMLVP2WGROR}

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	2026-05-18T04:34:09.446862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92afe24820e9729770e662eafd58d1744fd08a0696ddda5b77b649ba37f44a49

Aliases

arxiv: 1012.0837 · arxiv_version: 1012.0837v1 · doi: 10.48550/arxiv.1012.0837 · pith_short_12: SKX6ESBA5FZJ · pith_short_16: SKX6ESBA5FZJO4HG · pith_short_8: SKX6ESBA

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/SKX6ESBA5FZJO4HGMLVP2WGROR \
  | 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: 92afe24820e9729770e662eafd58d1744fd08a0696ddda5b77b649ba37f44a49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a389c02228342e90f58e1bed998dfb49e2be955b231c0376fc0a4604fb076489",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-03T20:43:41Z",
    "title_canon_sha256": "d6e1eb2d21022b03103d0e4475af55c1cad5ed3ac97287b5756fea5c7458d667"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0837",
    "kind": "arxiv",
    "version": 1
  }
}