Pith Number

pith:HPMSHQIC

pith:2011:HPMSHQICZLL2UFQ7N5WZ2YK3FT

not attested not anchored not stored refs pending

Dvoretzky--Kiefer--Wolfowitz Inequalities for the Two-sample Case

Fan Wei, Richard M Dudley

arxiv:1107.5356 v2 · 2011-07-26 · 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{HPMSHQICZLL2UFQ7N5WZ2YK3FT}

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	2026-05-18T04:15:38.319404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd923c102cad7aa161f6f6d9d615b2ccb32a9c7856029a45a2b51a9b3943ecc

Aliases

arxiv: 1107.5356 · arxiv_version: 1107.5356v2 · doi: 10.48550/arxiv.1107.5356 · pith_short_12: HPMSHQICZLL2 · pith_short_16: HPMSHQICZLL2UFQ7 · pith_short_8: HPMSHQIC

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/HPMSHQICZLL2UFQ7N5WZ2YK3FT \
  | 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: 3bd923c102cad7aa161f6f6d9d615b2ccb32a9c7856029a45a2b51a9b3943ecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "302873837800312e0c11eacd317aa3e3d8d70edd578ef3735ba14148e74391ee",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-07-26T23:42:43Z",
    "title_canon_sha256": "6b141eae583c9021fd4afc7309bb271b306d599507619f30d8d9f14b4cd4e0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5356",
    "kind": "arxiv",
    "version": 2
  }
}